Thermodynamics Databook [3 ed.] 9789354248979, 9781119382843

Table of contents :
Cover
Title Page
Copyright
Contents
Appendix A: SI Units: Single-State Properties
TABLE A.1 Conversion Factors
TABLE A.2 Critical Constants
TABLE A.3 Properties of Selected Solids at 25°C
TABLE A.4 Properties of Some Liquidsat 25°C∗
TABLE A.5 Properties of Various Ideal Gases at 25°C, 100 kPa∗ (SI Units)
TABLE A.6 Constant-Pressure Specific Heats of Various Ideal Gases∗
TABLE A.7.1 Ideal Gas Properties of Air, Standard Entropy at 0.1-MPa (1-Bar) Pressure
TABLE A.7.2 The Isentropic Relative Pressure and Relative Volume Functions
TABLE A.8 Ideal Gas Properties of Various Substances, Entropies at 0.1-MPa (1-Bar)Pressure, Mass Basis
TABLE A.9 Ideal Gas Properties of Various Substances (SI Units), Entropies at 0.1-MPa(1-Bar) Pressure, Mole Basis
TABLE A.10 Enthalpy of Formation and Absolute Entropy of Various Substances at 25◦C,100 kPa Pressure
TABLE A.11 Logarithms to the Base e of the Equilibrium Constant K
Appendix B: SI Units: Thermodynamic Tables
TABLE B.1 Thermodynamic Properties of Water
TABLE B.2 Thermodynamic Properties of Ammonia
TABLE B.3 Thermodynamic Properties of Carbon Dioxide
TABLE B.4 Thermodynamic Properties of R-410A
TABLE B.5 Thermodynamic Properties of R-134a
TABLE B.6 Thermodynamic Properties of Nitrogen
TABLE B.7 Thermodynamic Properties of Methane
Appendix C: Ideal Gas Specific Heat
Appendix D: Equations of State
TABLE D.1 Equations of State
TABLE D.2 The Lee–Kesler Equation of State
TABLE D.3 Saturated Liquid–Vapor Compressibilities, Lee–Kesler Simple Fluid
TABLE D.4 Acentric Factor for Some Substances
FIGURE D.1 Lee–Kesler simple fluid compressibility factor
FIGURE D.2 Lee–Kesler simple fluid enthalpy departure
FIGURE D.3 Lee–Kesler simple fluid entropy departure
Appendix E: Figures
FIGURE E.1 Temperature–entropy diagram for water
FIGURE E.2 Pressure–enthalpy diagram for ammonia
FIGURE E.3 Pressure–enthalpy diagram for oxygen
FIGURE E.4 Psychrometric chart
Appendix F: Additional Thermodynamic Tables
TABLE F.1 Thermodynamic Properties of R-12
TABLE F.2 Thermodynamic properties of R-22

Citation preview

THIRD EDITION

THIRD EDITION

Wiley India Pvt. Ltd. Customer Care +91 120 6291100 [email protected] www.wileyindia.com www.wiley.com

eISBN 978-93-5424-897-9

9 789354 248979

THIRD EDITION

Richard E. Sonntag Claus Borgnnake University of Michigan

7-9

8" x 10"

Thermodynamics Databook Third Edition Richard E. Sonntag and Claus Borgnakke Published by Wiley India Pvt. Ltd., 4436/7, Ansari Road, Daryaganj, New Delhi-110002. First Edition: 2009 Second Edition: 2013 Third Edition: 2021 ISBN: 978-93-5424-897-9 (ebk) Copyright © 2021 by Wiley India Pvt. Ltd. All rights reserved. No part of this book may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or scanning without the written permission of the publisher. This databook has data tables, figures and formulae from Fundamentals of Thermodynamics, 9th Edition, Global Edition by Richard E. Sonntag and Claus Borgnakke (978-1-119-38284-3). All rights remain with their respective holders. Limits of Liability: While the publisher and the author have used their best efforts in preparing this book, Wiley and the author make no representation or warranties with respect to the accuracy or completeness of the contents of this book, and specifically disclaim any implied warranties of merchantability or fitness for any particular purpose. There are no warranties which extend beyond the descriptions contained in this paragraph. No warranty may be created or extended by sales representatives or written sales materials. Disclaimer: The contents of this book have been checked for accuracy. Since deviations cannot be precluded entirely, Wiley or its author cannot guarantee full agreement. As the book is intended for educational purpose, Wiley or its author shall not be responsible for any errors, omissions or damages arising out of the use of the information contained in the book. This publication is designed to provide accurate and authoritative information with regard to the subject matter covered. It is sold on the understanding that the Publisher is not engaged in rendering professional services. Trademarks: All brand names and product names used in this book are trademarks, registered trademarks or trade names of their respective holders. Wiley is not associated with any product or vendor mentioned in this book. Other Wiley Editorial Offices: John Wiley & Sons, Inc. 111 River Street, Hoboken, NJ 07030, USA Wiley-VCH Verlag GmbH, Pappellaee 3, D-69469 Weinheim, Germany John Wiley & Sons Australia Ltd, 42 McDougall Street, Milton, Queensland 4064, Australia John Wiley & Sons (Asia) Pte Ltd, 1 Fusionpolis Walk #07-01 Solaris, South Tower Singapore 138628 John Wiley & Sons Canada Ltd, 22 Worcester Road, Etobicoke, Ontario, Canada, M9W ILI Edition: 2021 www.wileyindia.com

Contents A

SINGLE-STATE PROPERTIES

1

Table A.1 Conversion Factors, 1 Table A.2 Critical Constants, 4 Table A.3 Properties of Selected Solids at 25◦ C, 5 Table A.4 Properties of Some Liquids at 25◦ C, 5 Table A.5 Properties of Various Ideal Gases at 25◦ C, 100 kPa (SI Units), 6 Table A.6 Constant-Pressure Specific Heats of Various Ideal Gases, 7 Table A7.1 Ideal-Gas Properties of Air, Standard Entropy at 0.1-MPa (1-Bar) Pressure, 8 Table A7.2 The Isentropic Relative Pressure and Relative Volume Functions, 9 Table A.8 Ideal-Gas Properties of Various Substances, Entropies at 0.1-MPa (1-Bar) Pressure, Mass Basis, 10 Table A.9 Ideal-Gas Properties of Various Substances (SI Units), Entropies at 0.1-MPa (1-Bar) Pressure, Mole Basis, 12 Table A.10 Enthalpy of Formation and Absolute Entropy of Various Substances at 25◦ C, 100 kPa Pressure, 18 Table A.11 Logarithms to the Base e of the Equilibrium Constant K, 19

B

THERMODYNAMIC TABLES

21

Table B.1 Thermodynamic Properties of Water, 22 Table B.2 Thermodynamic Properties of Ammonia, 40 Table B.3 Thermodynamic Properties of Carbon Dioxide, 46 Table B.4 Thermodynamic Properties of R-410A, 50 Table B.5 Thermodynamic Properties of R-134a, 56 Table B.6 Thermodynamic Properties of Nitrogen, 62 Table B.7 Thermodynamic Properties of Methane, 66

C D

IDEAL-GAS SPECIFIC HEAT

71

EQUATIONS OF STATE

73

Table D.1 Equations of State, 73 Table D.2 The Lee–Kesler Equation of State, 74 Table D.3 Saturated Liquid–Vapor Compressibilities, Lee–Kesler Simple Fluid, 74 Table D.4 Acentric Factor for Some Substances, 74 Figure D.1 Lee–Kesler Simple Fluid Compressibility Factor, 75 Figure D.2 Lee–Kesler Simple Fluid Enthalpy Departure, 76 Figure D.3 Lee–Kesler Simple Fluid Entropy Departure, 77

iii

iv



CONTENTS

E

FIGURES

78

Figure E.1 Temperature–Entropy Diagram for Water, 79 Figure E.2 Pressure–Enthalpy Diagram for Ammonia, 80 Figure E.3 Pressure–Enthalpy Diagram for Oxygen, 81 Figure E.4 Psychrometric Chart, 82

F

ADDTIONAL THERMODYNAMIC TABLES Table F.1 Thermodynamic Properties of R-12, 84 Table F.2 Thermodynamic Properties of R-22, 88

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NDIX

SI Units: Single-State ~ A Properties

TABLE A.1 Conversion Factors

Area (A) 1 mm2 = 1.0 × 10−6 m2 1 cm2 = 1.0 × 10−4 m2 = 0.1550 in.2 1 m2 = 10.7639 ft2

1 ft2 = 144 in.2 1 in.2 = 6.4516 cm2 = 6.4516 × 10−4 m2 1 ft2 = 0.092 903 m2

Conductivity (k) 1 W/m-K = 1 J/s-m-K = 0.577 789 Btu/h-ft-◦ R

1 Btu/h-ft-R = 1.730 735 W/m-K

Density (𝝆) 1 kg/m3 = 0.06242797 lbm/ft3 1 g/cm3 = 1000 kg/m3 1 g/cm3 = 1 kg/L Energy (E, U) 1J = 1 N-m = 1 kg-m2 /s2 1J = 0.737 562 lbf-ft 1 cal (Int.) = 4.186 81 J 1 erg 1 eV

= 1.0 × 10−7 J = 1.602 177 33 × 10−19 J

Force (F) 1 N = 0.224 809 lbf 1 kp = 9.806 65 N (1 kgf)

1 lbm/ft3 = 16.018 46 kg/m3

l lbf-ft = 1.355 818 J = 1.285 07 × 10−3 Btu 1 Btu (Int.) = 1.055 056 kJ = 778.1693 lbf-ft

1 lbf = 4.448 222 N

Gravitation g = 9.806 65 m/s2

g = 32.174 05 ft/s2

Heat flux (per unit area) 1 W/m2 = 0.316 998 Btu/h-ft2

1 Btu/h-ft2 = 3.154 59 W/m2

Heat-transfer coefficient (h) 1 W/m2 -K = 0.176 11 Btu/h-ft2 -◦ R

1 Btu/h-ft2 -◦ R = 5.678 26 W/m2 -K

1

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APPENDIX A

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SI UNITS: SINGLE-STATE PROPERTIES

TABLE A.1 Conversion Factors (continued )

Length (L) 1 mm = 0.001 m = 0.1 cm 1 cm = 0.01 m = 10 mm = 0.3970 in. 1 m = 3.280 84 ft = 39.370 in. 1 km = 0.621 371 mi 1 mi = 1609.3 m (US statute)

1 ft = 12 in. 1 in. = 2.54 cm = 0.0254 m 1 ft = 0.3048 m 1 mi = 1.609 344 km 1 yd = 0.9144 m

Mass (m) 1 kg = 2.204 623 lbm 1 tonne = 1000 kg 1 grain = 6.479 89 × 10−5 kg

1 lbm = 0.453 592 kg 1 slug = 14.5939 kg 1 ton = 2000 lbm

Moment (torque, T) 1 N-m = 0.737 562 lbf-ft

1 lbf-ft = 1.355 818 N-m

Momentum (mV) 1 kg-m/s = 7.232 94 lbm-ft/s = 0.224 809 lbf-s ̇ W) ̇ Power (Q, 1W

1 lbm-ft/s = 0.138 256 kg-m/s

= 1 J/s = 1 N-m/s = 0.737 562 lbf-ft/s 1 kW = 3412.14 Btu/h 1 hp (metric) = 0.735 499 kW

1 Btu/s 1 hp (UK)

1 ton of refrigeration = 3.516 85 kW

1 ton of refrigeration = 12 000 Btu/h

Pressure (P) 1 Pa 1 bar 1 atm

= 1 N/m2 = 1 kg/m-s2 = 1.0 × 105 Pa = 100 kPa = 101.325 kPa = 1.013 25 bar = 760 mm Hg [0◦ C] = 10.332 56 m H2 O [4◦ C] 1 torr = 1 mm Hg [0◦ C] 1 mm Hg [0◦ C] = 0.133 322 kPa 1 m H2 O [4◦ C] = 9.806 38 kPa

Specific energy (e, u) 1 kJ/kg = 0.429 92 Btu/lbm = 334.55 lbf-ft/lbm

Specific heat (Cp , Cv , C), specific entropy (s) 1 kJ/kg-K = 0.238 846 Btu/lbm-◦ R

1 lbf-ft/s

= 1.355 818 W = 4.626 24 Btu/h = 1.055 056 kW = 0.7457 kW = 550 lbf-ft/s = 2544.43 Btu/h

1 lbf/in.2

= 6.894 757 kPa

1 atm

= 14.695 94 lbf/in.2 = 29.921 in. Hg [32◦ F] = 33.8995 ft H2 O [4◦ C]

1 in. Hg [0◦ C] = 0.491 15 lbf/in.2 1 in. H2 O [4◦ C] = 0.0361 26 lbf/in.2

1 Btu/lbm = 2.326 kJ/kg 1 lbf-ft/lbm = 2.989 07 × 10−3 kJ/kg = 1.285 07 × 10−3 Btu/lbm 1 Btu/lbm-◦ R = 4.1868 kJ/kg-K

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TABLE A.1 Conversion Factors (continued )

Specific kinetic energy ( 12 V2 ) 1 m2 /s2 = 0.001 kJ/kg 1 kJ/kg = 1000 m2 /s2 Specific potential energy (Zg) 1 m-gstd = 9.806 65 × 10−3 kJ/kg = 4.216 07 × 10−3 Btu/lbm

1 ft2 /s2 = 3.9941 × 10−5 Btu/lbm 1 Btu/lbm = 25 037 ft2 /s2

l ft-gstd = 1.0 lbf-ft/lbm = 0.001 285 Btu/lbm = 0.002 989 kJ/kg

Specific volume (v) 1 cm3 /g = 0.001 m3 /kg 1 cm3 /g = 1 L/kg 1 m3 /kg = 16.018 46 ft3 /lbm

1 ft3 /lbm = 0.062 428 m3 /kg

Temperature (T) 1 K = 1◦ C = 1.8 R = 1.8 F TC = TK − 273.15 = (TF − 32)/1.8 TK = TR/1.8

1 R = (5/9) K TF = TR − 459.67 = 1.8 TC + 32 TR = 1.8 TK

Universal Gas Constant R̄ = N0 k = 8.314 51 kJ/kmol-K = 1.985 89 kcal/kmol-K = 82.0578 atm-L/kmol-K

R̄ = 1.985 89 Btu/lbmol-R = 1545.36 lbf-ft/lbmol-R = 0.730 24 atm-ft3 /lbmol-R = 10.7317 (lbf/in.2 )-ft3 /lbmol-R

Velocity (V) 1 m/s = 3.6 km/h = 3.280 84 ft/s = 2.236 94 mi/h 1 km/h = 0.277 78 m/s = 0.911 34 ft/s = 0.621 37 mi/h

1 ft/s = 0.681 818 mi/h = 0.3048 m/s = 1.097 28 km/h 1 mi/h = 1.466 67 ft/s = 0.447 04 m/s = 1.609 344 km/h

Volume (V) = 35.3147 ft3 1 m3 1L = 1 dm3 = 0.001 m3 1 Gal (US) = 3.785 412 L = 3.785 412 × 10−3 m3

1 ft3 = 2.831 685 × 10−2 m3 3 1 in. = 1.6387 × 10−5 m3 1 Gal (UK) = 4.546 090 L 1 Gal (US) = 231.00 in.3

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APPENDIX A

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SI UNITS: SINGLE-STATE PROPERTIES

TABLE A.2 Critical Constants

Substance

Formula

Molec. Mass

Temp. (K)

Press. (MPa)

Vol. (m3 /kg)

Ammonia Argon Bromine Carbon dioxide Carbon monoxide Chlorine Fluorine Helium Hydrogen (normal) Krypton Neon Nitric oxide Nitrogen Nitrogen dioxide Nitrous oxide Oxygen Sulfur dioxide Water Xenon Acetylene Benzene n-Butane Chlorodifluoroethane (142b) Chlorodifluoromethane (22) Dichlorofluoroethane (141) Dichlorotrifluoroethane (123) Difluoroethane (152a) Difluoromethane (32) Ethane Ethyl alcohol Ethylene n-Heptane n-Hexane Methane Methyl alcohol n-Octane Pentafluoroethane (125) n-Pentane Propane

NH3 Ar Br2 CO2 CO C12 F2 He H2 Kr Ne NO N2 NO2 N2 O O2 SO2 H2 O Xe C2 H2 C6 H6 C4 H10 CH3 CClF2 CHClF2 CH3 CCl2 F CHCl2 CF3 CHF2 CH3 CF2 H2 C2 H6 C2 H5 OH C2 H4 C7 H16 C6 H14 CH4 CH3 OH C8 H18 CHF2 CF3 C5 H12 C3 H8

17.031 39.948 159.808 44.01 28.01 70.906 37.997 4.003 2.016 83.80 20.183 30.006 28.013 46.006 44.013 31.999 64.063 18.015 131.30 26.038 78.114 58.124 100.495 86.469 116.95 152.93 66.05 52.024 30.070 46.069 28.054 100.205 86.178 16.043 32.042 114.232 120.022 72.151 44.094

405.5 150.8 588 304.1 132.9 416.9 144.3 5.19 33.2 209.4 44.4 180 126.2 431 309.6 154.6 430.8 647.3 289.7 308.3 562.2 425.2 410.3 369.3 481.5 456.9 386.4 351.3 305.4 513.9 282.4 540.3 507.5 190.4 512.6 568.8 339.2 469.7 369.8

11.35 4.87 10.30 7.38 3.50 7.98 5.22 0.227 1.30 5.50 2.76 6.48 3.39 10.1 7.24 5.04 7.88 22.12 5.84 6.14 4.89 3.80 4.25 4.97 4.54 3.66 4.52 5.78 4.88 6.14 5.04 2.74 3.01 4.60 8.09 2.49 3.62 3.37 4.25

0.00426 0.00188 0.000796 0.00212 0.00333 0.00175 0.00174 0.0143 0.0323 0.00109 0.00206 0.00192 0.0032 0.00365 0.00221 0.00229 0.00191 0.00317 0.000902 0.00433 0.00332 0.00439 0.00230 0.00191 0.00215 0.00182 0.00272 0.00236 0.00493 0.00363 0.00465 0.00431 0.00429 0.00615 0.00368 0.00431 0.00176 0.00421 0.00454

Propene Refrigerant mixture (410A) Tetrafluoroethane (134a)

C3 H6 R-410A CF3 CH2 F

42.081 72.585 102.03

364.9 344.5 374.2

4.60 4.90 4.06

0.00430 0.00218 0.00197

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APPENDIX A

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TABLE A.3 Properties of Selected Solids at

TABLE A.4 Properties of Some Liquids

25◦ C

at 25◦ C∗

Substance Asphalt Brick, common Carbon, diamond Carbon, graphite Coal Concrete Glass, plate Glass, wool Granite Ice (0◦ C) Paper Plexiglass Polystyrene Polyvinyl chloride Rubber, soft Sand, dry Salt, rock Silicon Snow, firm Wood, hard (oak) Wood, soft (pine) Wool Metals Aluminum Brass, 60–40 Copper, commercial Gold Iron, cast Iron, 304 St Steel Lead Magnesium, 2% Mn Nickel, 10% Cr Silver, 99.9% Ag Sodium Tin Tungsten Zinc

𝝆 (kg/m3 ) 2120 1800 3250 2000–2500 1200–1500 2200 2500 20 2750 917 700 1180 920 1380 1100 1500 2100–2500 2330 560 720 510 100

2700 8400 8300 19300 7272 7820 11340 1778 8666 10524 971 7304 19300 7144

Cp (kJ/kg-K)

Substance

𝝆 (kg/m3 )

0.92 0.84 0.51 0.61 1.26 0.88 0.80 0.66 0.89 2.04 1.2 1.44 2.3 0.96 1.67 0.8 0.92 0.70 2.1 1.26 1.38 1.72

Ammonia Benzene Butane CCl4 CO2 Ethanol Gasoline Glycerine Glycol Kerosene Methanol n-Octane Oil engine Oil light Propane R-12 R-22 R-32 R-125 R-134a R-410A Water

604 879 556 1584 680 783 750 1260 1120 815 787 692 885 910 510 1310 1190 961 1191 1206 1059 997

4.84 1.72 2.47 0.83 2.9 2.46 2.08 2.42 2.3 2.0 2.55 2.23 1.9 1.8 2.54 0.97 1.26 1.94 1.41 1.43 1.69 4.18

10040 10660 13580 887 828 929 6950 6570

0.14 0.16 0.14 1.13 0.81 1.38 0.24 0.50

0.90 0.38 0.42 0.13 0.42 0.46 0.13 1.00 0.44 0.24 1.21 0.22 0.13 0.39

Liquid metals Bismuth, Bi Lead, Pb Mercury, Hg NaK (56/44) Potassium, K Sodium, Na Tin, Sn Zinc, Zn ∗ Or

T melt if higher.

Cp (kJ/kg-K)

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APPENDIX A

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SI UNITS: SINGLE-STATE PROPERTIES

TABLE A.5 Properties of Various Ideal Gases at 25◦ C, 100 kPa∗ (SI Units)

Gas

Chemical Formula

Molecular Mass (kg/kmol)

R (kJ/kg-K)

𝝆0 (kg/m3 )

Cp0 (kJ/kg-K)

Cv0 (kJ/kg-K)

k=

Steam Acetylene Air Ammonia Argon Butane Carbon dioxide Carbon monoxide Ethane Ethanol Ethylene Helium Hydrogen Methane Methanol Neon Nitric oxide Nitrogen Nitrous oxide n-Octane Oxygen Propane R-12 R-22 R-32 R-125 R-134a R-410A Sulfur dioxide Sulfur trioxide

H2 O C2 H2 Mixture NH3 Ar C4 H10 CO2 CO C2 H6 C2 H5 OH C2 H4 He H2 CH4 CH3 OH Ne NO N2 N2 O C8 H18 O2 C3 H8 CCl2 F2 CHClF2 CF2 H2 CHF2 CF3 CF3 CH2 F Mixture SO2 SO3

18.015 26.038 28.97 17.031 39.948 58.124 44.01 28.01 30.07 46.069 28.054 4.003 2.016 16.043 32.042 20.183 30.006 28.013 44.013 114.23 31.999 44.094 120.914 86.469 52.024 120.022 102.03 72.585 64.059 80.053

0.4615 0.3193 0.287 0.4882 0.2081 0.1430 0.1889 0.2968 0.2765 0.1805 0.2964 2.0771 4.1243 0.5183 0.2595 0.4120 0.2771 0.2968 0.1889 0.07279 0.2598 0.1886 0.06876 0.09616 0.1598 0.06927 0.08149 0.11455 0.1298 0.10386

0.0231 1.05 1.169 0.694 1.613 2.407 1.775 1.13 1.222 1.883 1.138 0.1615 0.0813 0.648 1.31 0.814 1.21 1.13 1.775 0.092 1.292 1.808 4.98 3.54 2.125 4.918 4.20 2.967 2.618 3.272

1.872 1.699 1.004 2.130 0.520 1.716 0.842 1.041 1.766 1.427 1.548 5.193 14.209 2.254 1.405 1.03 0.993 1.042 0.879 1.711 0.922 1.679 0.616 0.658 0.822 0.791 0.852 0.809 0.624 0.635

1.410 1.380 0.717 1.642 0.312 1.573 0.653 0.744 1.490 1.246 1.252 3.116 10.085 1.736 1.146 0.618 0.716 0.745 0.690 1.638 0.662 1.490 0.547 0.562 0.662 0.722 0.771 0.694 0.494 0.531

1.327 1.231 1.400 1.297 1.667 1.091 1.289 1.399 1.186 1.145 1.237 1.667 1.409 1.299 1.227 1.667 1.387 1.400 1.274 1.044 1.393 1.126 1.126 1.171 1.242 1.097 1.106 1.165 1.263 1.196

∗ Or

saturation pressure if it is less than 100 kPa.

Cp Cv

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TABLE A.6 Constant-Pressure Specific Heats of Various Ideal Gases∗

C𝝆0 = C0 + C1 𝜽 + C2 𝜽2 + C3 𝜽3

(kJ/kg-K)

𝜽 = T(Kelvin)/1000

Gas

Formula

C0

C1

C2

C3

Steam Acetylene Air Ammonia Argon Butane Carbon dioxide Carbon monoxide Ethane Ethanol Ethylene Helium Hydrogen Methane Methanol Neon Nitric oxide Nitrogen Nitrous oxide n-Octane Oxygen Propane R-12† R-22† R-32† R-125† R-134a† Sulfur dioxide Sulfur trioxide

H2 O C2 H2 — NH3 Ar C4 H10 CO2 CO C2 H6 C2 H5 OH C2 H4 He H2 CH4 CH3 OH Ne NO N2 N2 O C8 H18 O2 C3 H8 CCl2 F2 CHClF2 CF2 H2 CHF2 CF3 CF3 CH2 F SO2 SO3

1.79 1.03 1.05 1.60 0.52 0.163 0.45 1.10 0.18 0.2 0.136 5.193 13.46 1.2 0.66 1.03 0.98 1.11 0.49 −0.053 0.88 −0.096 0.26 0.2 0.227 0.305 0.165 0.37 0.24

0.107 2.91 −0.365 1.4 0 5.70 1.67 −0.46 5.92 4.65 5.58 0 4.6 3.25 2.21 0 −0.031 −0.48 1.65 6.75 −0.0001 6.95 1.47 1.87 2.27 1.68 2.81 1.05 1.7

0.586 −1.92 0.85 1.0 0 −1.906 −1.27 1.0 −2.31 −1.82 −3.0 0 −6.85 0.75 0.81 0 0.325 0.96 −1.31 −3.67 0.54 −3.6 −1.25 −1.35 −0.93 −0.284 −2.23 −0.77 −1.5

−0.20 0.54 −0.39 −0.7 0 −0.049 0.39 −0.454 0.29 0.03 0.63 0 3.79 −0.71 −0.89 0 −0.14 −0.42 0.42 0.775 −0.33 0.73 0.36 0.35 0.041 0 1.11 0.21 0.46

∗ Approximate † Formula

forms valid from 250 K to 1200 K. limited to maximum 500 K.

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TABLE A.7.1 Ideal Gas Properties of Air, Standard Entropy at 0.1-MPa (1-Bar) Pressure

T (K)

u (kJ/kg)

h (kJ/kg)

s0T (kJ/kg-K)

T (K)

u (kJ/kg)

h (kJ/kg)

s0T (kJ/kg-K)

200 220 240 260 280 290 298.15 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600 620 640 660 680 700 720 740 760 780 800 850 900 950 1000 1050 1100

142.77 157.07 171.38 185.70 200.02 207.19 213.04 214.36 228.73 243.11 257.53 271.99 286.49 301.04 315.64 330.31 345.04 359.84 374.73 389.69 404.74 419.87 435.10 450.42 465.83 481.34 496.94 512.64 528.44 544.33 560.32 576.40 592.58 633.42 674.82 716.76 759.19 802.10 845.45

200.17 220.22 240.27 260.32 280.39 290.43 298.62 300.47 320.58 340.70 360.86 381.06 401.30 421.59 441.93 462.34 482.81 503.36 523.98 544.69 565.47 586.35 607.32 628.38 649.53 670.78 692.12 713.56 735.10 756.73 778.46 800.28 822.20 877.40 933.15 989.44 1046.22 1103.48 1161.18

6.46260 6.55812 6.64535 6.72562 6.79998 6.83521 6.86305 6.86926 6.93413 6.99515 7.05276 7.10735 7.15926 7.20875 7.25607 7.30142 7.34499 7.38692 7.42736 7.46642 7.50422 7.54084 7.57638 7.61090 7.64448 7.67717 7.70903 7.74010 7.77044 7.80008 7.82905 7.85740 7.88514 7.95207 8.01581 8.07667 8.13493 8.19081 8.24449

1100 1150 1200 1250 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 1850 1900 1950 2000 2050 2100 2150 2200 2250 2300 2350 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000

845.45 889.21 933.37 977.89 1022.75 1067.94 1113.43 1159.20 1205.25 1251.55 1298.08 1344.83 1391.80 1438.97 1486.33 1533.87 1581.59 1629.47 1677.52 1725.71 1774.06 1822.54 1871.16 1919.91 1968.79 2017.79 2066.91 2116.14 2165.48 2214.93 2264.48 2314.13 2363.88 2413.73 2463.66 2513.69 2563.80 2613.99 2664.27

1161.18 1219.30 1277.81 1336.68 1395.89 1455.43 1515.27 1575.40 1635.80 1696.45 1757.33 1818.44 1879.76 1941.28 2002.99 2064.88 2126.95 2189.19 2251.58 2314.13 2376.82 2439.66 2502.63 2565.73 2628.96 2692.31 2755.78 2819.37 2883.06 2946.86 3010.76 3074.77 3138.87 3203.06 3267.35 3331.73 3396.19 3460.73 3525.36

8.24449 8.29616 8.34596 8.39402 8.44046 8.48539 8.52891 8.57111 8.61208 8.65185 8.69051 8.72811 8.76472 8.80039 8.83516 8.86908 8.90219 8.93452 8.96611 8.99699 9.02721 9.05678 9.08573 9.11409 9.14189 9.16913 9.19586 9.22208 9.24781 9.27308 9.29790 9.32228 9.34625 9.36980 9.39297 9.41576 9.43818 9.46025 9.48198

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SI UNITS: SINGLE-STATE PROPERTIES

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TABLE A.7.2 The Isentropic Relative Pressure and Relative Volume Functions

T[K]

Pr

vr

T[K]

Pr

vr

T[K]

200 220 240 260 280 290 298.15 300 320 340 360 380 400 420 440 460 480 500 520 540 560 580 600 620 640 660 680 700

0.2703 0.3770 0.5109 0.6757 0.8756 0.9899 1.0907 1.1146 1.3972 1.7281 2.1123 2.5548 3.0612 3.6373 4.2892 5.0233 5.8466 6.7663 7.7900 8.9257 10.182 11.568 13.092 14.766 16.598 18.600 20.784 23.160

493.47 389.15 313.27 256.58 213.26 195.36 182.29 179.49 152.73 131.20 113.65 99.188 87.137 77.003 68.409 61.066 54.748 49.278 44.514 40.344 36.676 33.436 30.561 28.001 25.713 23.662 21.818 20.155

700 720 740 760 780 800 850 900 950 1000 1050 1100 1150 1200 1250 1300 1350 1400 1450 1500 1550 1600 1650 1700 1750 1800 1850 1900

23.160 25.742 28.542 31.573 34.851 38.388 48.468 60.520 74.815 91.651 111.35 134.25 160.73 191.17 226.02 265.72 310.74 361.62 418.89 483.16 554.96 634.97 723.86 822.33 931.14 1051.05 1182.9 1327.5

20.155 18.652 17.289 16.052 14.925 13.897 11.695 9.9169 8.4677 7.2760 6.2885 5.4641 4.7714 4.1859 3.6880 3.2626 2.8971 2.5817 2.3083 2.0703 1.8625 1.6804 1.52007 1.37858 1.25330 1.14204 1.04294 0.95445

1900 1950 2000 2050 2100 2150 2200 2250 2300 2350 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000

Pr 1327.5 1485.8 1658.6 1847.1 2052.1 2274.8 2516.2 2777.5 3059.9 3364.6 3693.0 4046.2 4425.8 4833.0 5269.5 5736.7 6236.2 6769.7 7338.7 7945.1 8590.7 9277.2 10007

vr 0.95445 0.87521 0.80410 0.74012 0.68242 0.63027 0.58305 0.54020 0.50124 0.46576 0.43338 0.40378 0.37669 0.35185 0.32903 0.30805 0.28872 0.27089 0.25443 0.23921 0.22511 0.21205 0.19992

The relative pressure and relative volume are temperature functions calculated with two scaling constants, A1 , A2 . Pr = exp[s0T ∕R − A1 ];

vr = A2 T∕Pr

such that for an isentropic process (s1 = s2 ) 0

S ∕R P P2 e T2 = r2 = 0 ≈ S ∕R P1 Pr1 e T1

(

T2 T1

)Cp ∕R and

v2 v = r2 ≈ v1 vr1

(

T1 T2

)Cv ∕R

where the near equalities are for the constant specific heat approximation.

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SI UNITS: SINGLE-STATE PROPERTIES

TABLE A.8 Ideal Gas Properties of Various Substances, Entropies at 0.1-MPa (1-Bar) Pressure, Mass Basis

Nitrogen, Diatomic (N2 ) R = 0.2968 kJ/kg-K M = 28.013 kg/kmol

Oxygen, Diatomic (O2 ) R = 0.2598 kJ/kg-K M = 31.999 kg/kmol

T (K)

u (kJ/kg)

h (kJ/kg)

s0T (kJ/kg-K)

u (kJ/kg)

h (kJ/kg)

s0T (kJ/kg-K)

200 250 300 350 400 450 500 550 600 650 700 750 800 850 900 950 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2100 2200 2300 2400 2500 2600 2700 2800 2900 3000

148.39 185.50 222.63 259.80 297.09 334.57 372.35 410.52 449.16 488.34 528.09 568.45 609.41 650.98 693.13 735.85 779.11 867.14 957.00 1048.46 1141.35 1235.50 1330.72 1426.89 1523.90 1621.66 1720.07 1819.08 1918.62 2018.63 2119.08 2219.93 2321.13 2422.66 2524.50 2626.62 2729.00

207.75 259.70 311.67 363.68 415.81 468.13 520.75 573.76 627.24 681.26 735.86 791.05 846.85 903.26 960.25 1017.81 1075.91 1193.62 1313.16 1434.31 1556.87 1680.70 1805.60 1931.45 2058.15 2185.58 2313.68 2442.36 2571.58 2701.28 2831.41 2961.93 3092.81 3224.03 3355.54 3487.34 3619.41

6.4250 6.6568 6.8463 7.0067 7.1459 7.2692 7.3800 7.4811 7.5741 7.6606 7.7415 7.8176 7.8897 7.9581 8.0232 8.0855 8.1451 8.2572 8.3612 8.4582 8.5490 8.6345 8.7151 8.7914 8.8638 8.9327 8.9984 9.0612 9.1213 9.1789 9.2343 9.2876 9.3389 9.3884 9.4363 9.4825 9.5273

129.84 162.41 195.20 228.37 262.10 296.52 331.72 367.70 404.46 441.97 480.18 519.02 558.46 598.44 638.90 679.80 721.11 804.80 889.72 975.72 1062.67 1150.48 1239.10 1328.49 1418.63 1509.50 1601.10 1693.41 1786.44 1880.17 1974.60 2069.71 2165.50 2261.94 2359.01 2546.70 2554.97

181.81 227.37 273.15 319.31 366.03 413.45 461.63 510.61 560.36 610.86 662.06 713.90 766.33 819.30 872.75 926.65 980.95 1090.62 1201.53 1313.51 1426.44 1540.23 1654.83 1770.21 1886.33 2003.19 2120.77 2239.07 2358.08 2477.79 2598.20 2719.30 2841.07 2963.49 3086.55 3210.22 3334.48

6.0466 6.2499 6.4168 6.5590 6.6838 6.7954 6.8969 6.9903 7.0768 7.1577 7.2336 7.3051 7.3728 7.4370 7.4981 7.5564 7.6121 7.7166 7.8131 7.9027 7.9864 8.0649 8.1389 8.2088 8.2752 8.3384 8.3987 8.4564 8.5117 8.5650 8.6162 8.6656 8.7134 8.7596 8.8044 8.8478 8.8899

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TABLE A.8 Ideal Gas Properties of Various Substances, Entropies at 0.1-MPa (1-Bar) Pressure, Mass Basis (continued )

Carbon Dioxide (CO2 ) R = 0.1889 kJ/kg-K M = 44.010 kg/kmol

Water (H2 O) R = 0.4615 kJ/kg-K M = 18.015 kg/kmol

T (K)

u (kJ/kg)

h (kJ/kg)

s0T (kJ/kg-K)

u (kJ/kg)

h (kJ/kg)

s0T (kJ/kg-K)

200 250 300 350 400 450 500 550 600 650 700 750 800 850 900 950 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2100 2200 2300 2400 2500 2600 2700 2800 2900 3000

97.49 126.21 157.70 191.78 228.19 266.69 307.06 349.12 392.72 437.71 483.97 531.40 579.89 629.35 676.69 730.85 782.75 888.55 996.64 1106.68 1218.38 1331.50 1445.85 1561.26 1677.61 1794.78 1912.67 2031.21 2150.34 2270.00 2390.14 2510.74 2631.73 2753.10 2874.81 2996.84 3119.18

135.28 173.44 214.38 257.90 303.76 351.70 401.52 453.03 506.07 560.51 616.22 673.09 731.02 789.93 849.72 910.33 971.67 1096.36 1223.34 1352.28 1482.87 1614.88 1748.12 1882.43 2017.67 2153.73 2290.51 2427.95 2565.97 2704.52 2843.55 2983.04 3122.93 3263.19 3403.79 3544.71 3685.95

4.5439 4.7139 4.8631 4.9972 5.1196 5.2325 5.3375 5.4356 5.5279 5.6151 5.6976 5.7761 5.8508 5.9223 5.9906 6.0561 6.1190 6.2379 6.3483 6.4515 6.5483 6.6394 6.7254 6.8068 6.8841 6.9577 7.0278 7.0949 7.1591 7.2206 7.2798 7.3368 7.3917 7.4446 7.4957 7.5452 7.5931

276.38 345.98 415.87 486.37 557.79 630.40 704.36 779.79 856.75 935.31 1015.49 1097.35 1180.90 1266.19 1353.23 1442.03 1532.61 1719.05 1912.42 2112.47 2318.89 2531.28 2749.24 2972.35 3200.17 3432.28 3668.24 3908.08 4151.28 4397.56 4646.71 4898.49 5152.73 5409.24 5667.86 5928.44 6190.86

368.69 461.36 554.32 647.90 742.40 838.09 935.12 1033.63 1133.67 1235.30 1338.56 1443.49 1550.13 1658.49 1768.60 1880.48 1994.13 2226.73 2466.25 2712.46 2965.03 3223.57 3487.69 3756.95 4030.92 4309.18 4591.30 4877.29 5166.64 5459.08 5754.37 6052.31 6352.70 6655.36 6960.13 7266.87 7575.44

9.7412 10.1547 10.4936 10.7821 11.0345 11.2600 11.4644 11.6522 11.8263 11.9890 12.1421 12.2868 12.4244 12.5558 12.6817 12.8026 12.9192 13.1408 13.3492 13.5462 13.7334 13.9117 14.0822 14.2454 14.4020 14.5524 14.6971 14.8366 14.9712 15.1012 15.2269 15.3485 15.4663 15.5805 15.6914 15.7990 15.9036

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April 18, 2017

SI UNITS: SINGLE-STATE PROPERTIES

TABLE A.9 Ideal Gas Properties of Various Substances (SI Units), Entropies at 0.1-MPa (1-Bar) Pressure, Mole Basis

Nitrogen, Diatomic (N2 ) 0 h̄ f ,298 = 0 kJ/kmol M = 28.013 kg/kmol

Nitrogen, Monatomic (N) 0 h̄ f ,298 = 472 680 kJ/kmol M = 14.007 kg/kmol

T K

̄ h̄ 298 ) (h− kJ/kmol

s̄ 0T kJ/kmol-K

̄ h̄ 298 ) (h− kJ/kmol

s̄ 0T kJ/kmol-K

0 100 200 298 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2200 2400 2600 2800 3000 3200 3400 3600 3800 4000 4400 4800 5200 5600 6000

−8670 −5768 −2857 0 54 2971 5911 8894 11937 15046 18223 21463 24760 28109 31503 34936 38405 41904 45430 48979 52549 56137 63362 70640 77963 85323 92715 100134 107577 115042 122526 130027 145078 160188 175352 190572 205848

0 159.812 179.985 191.609 191.789 200.181 206.740 212.177 216.865 221.016 224.757 228.171 231.314 234.227 236.943 239.487 241.881 244.139 246.276 248.304 250.234 252.075 255.518 258.684 261.615 264.342 266.892 269.286 271.542 273.675 275.698 277.622 281.209 284.495 287.530 290.349 292.984

−6197 −4119 −2040 0 38 2117 4196 6274 8353 10431 12510 14589 16667 18746 20825 22903 24982 27060 29139 31218 33296 35375 39534 43695 47860 52033 56218 60420 64646 68902 73194 77532 86367 95457 104843 114550 124590

0 130.593 145.001 153.300 153.429 159.409 164.047 167.837 171.041 173.816 176.265 178.455 180.436 182.244 183.908 185.448 186.883 188.224 189.484 190.672 191.796 192.863 194.845 196.655 198.322 199.868 201.311 202.667 203.948 205.164 206.325 207.437 209.542 211.519 213.397 215.195 216.926

0

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TABLE A.9 Ideal Gas Properties of Various Substances (SI Units), Entropies at 0.1-MPa (1-Bar) Pressure, Mole Basis (continued )

Oxygen, Diatomic (O2 ) 0 h̄ f ,298 = 0 kJ/kmol M = 31.999 kg/kmol

Oxygen, Monatomic (O) 0 h̄ f ,298 = 249 170 kJ/kmol M = 16.00 kg/kmol

T K

(h̄ − h̄ 298 ) kJ/kmol

s̄ 0T kJ/kmol-K

(h̄ − h̄ 298 ) kJ/kmol

s̄ 0T kJ/kmol-K

0 100 200 298 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2200 2400 2600 2800 3000 3200 3400 3600 3800 4000 4400 4800 5200 5600 6000

−8683 −5777 −2868 0 54 3027 6086 9245 12499 15836 19241 22703 26212 29761 33345 36958 40600 44267 47959 51674 55414 59176 66770 74453 82225 90080 98013 106022 114101 122245 130447 138705 155374 172240 189312 206618 224210

0 173.308 193.483 205.148 205.329 213.873 220.693 226.450 231.465 235.920 239.931 243.579 246.923 250.011 252.878 255.556 258.068 260.434 262.673 264.797 266.819 268.748 272.366 275.708 278.818 281.729 284.466 287.050 289.499 291.826 294.043 296.161 300.133 303.801 307.217 310.423 313.457

−6725 −4518 −2186 0 41 2207 4343 6462 8570 10671 12767 14860 16950 19039 21126 23212 25296 27381 29464 31547 33630 35713 39878 44045 48216 52391 56574 60767 64971 69190 73424 77675 86234 94873 103592 112391 121264

0 135.947 152.153 161.059 161.194 167.431 172.198 176.060 179.310 182.116 184.585 186.790 188.783 190.600 192.270 193.816 195.254 196.599 197.862 199.053 200.179 201.247 203.232 205.045 206.714 208.262 209.705 211.058 212.332 213.538 214.682 215.773 217.812 219.691 221.435 223.066 224.597

0

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APPENDIX A

April 18, 2017

SI UNITS: SINGLE-STATE PROPERTIES

TABLE A.9 Ideal Gas Properties of Various Substances (SI Units), Entropies at 0.1-MPa (1-Bar) Pressure, Mole Basis (continued )

Carbon Dioxide (CO2 ) 0 h̄ f ,298 = −393 522 kJ/kmol M = 44.01 kg/kmol

Carbon Monoxide (CO) 0 h̄ f ,298 = −110 527 kJ/kmol M = 28.01 kg/kmol

T K

(h̄ − h̄ 298 ) kJ/kmol

s̄ 0T kJ/kmol-K

(h̄ − h̄ 298 ) kJ/kmol

s̄ 0T kJ/kmol-K

0 100 200 298 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2200 2400 2600 2800 3000 3200 3400 3600 3800 4000 4400 4800 5200 5600 6000

−9364 −6457 −3413 0 69 4003 8305 12906 17754 22806 28030 33397 38885 44473 50148 55895 61705 67569 73480 79432 85420 91439 103562 115779 128074 140435 152853 165321 177836 190394 202990 215624 240992 266488 292112 317870 343782

0 179.010 199.976 213.794 214.024 225.314 234.902 243.284 250.752 257.496 263.646 269.299 274.528 279.390 283.931 288.190 292.199 295.984 299.567 302.969 306.207 309.294 315.070 320.384 325.307 329.887 334.170 338.194 341.988 345.576 348.981 352.221 358.266 363.812 368.939 373.711 378.180

−8671 −5772 −2860 0 54 2977 5932 8942 12021 15174 18397 21686 25031 28427 31867 35343 38852 42388 45948 49529 53128 56743 64012 71326 78679 86070 93504 100962 108440 115938 123454 130989 146108 161285 176510 191782 207105

0 165.852 186.024 197.651 197.831 206.240 212.833 218.321 223.067 227.277 231.074 234.538 237.726 240.679 243.431 246.006 248.426 250.707 252.866 254.913 256.860 258.716 262.182 265.361 268.302 271.044 273.607 276.012 278.279 280.422 282.454 284.387 287.989 291.290 294.337 297.167 299.809

0

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TABLE A.9 Ideal Gas Properties of Various Substances (SI Units), Entropies at 0.1-MPa (1-Bar) Pressure, Mole Basis (continued )

Water (H2 O) 0 h̄ f ,298 = −241 826 kJ/kmol M = 18.015 kg/kmol

Hydroxyl (OH) 0 h̄ f ,298 = 38 987 kJ/kmol M = 17.007 kg/kmol

T K

(h̄ − h̄ 298 ) kJ/kmol

s̄ 0T kJ/kmol-K

(h̄ − h̄ 298 ) kJ/kmol

s̄ 0T kJ/kmol-K

0 100 200 298 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2200 2400 2600 2800 3000 3200 3400 3600 3800 4000 4400 4800 5200 5600 6000

−9904 −6617 −3282 0 62 3450 6922 10499 14190 18002 21937 26000 30190 34506 38941 43491 48149 52907 57757 62693 67706 72788 83153 93741 104520 115463 126548 137756 149073 160484 171981 183552 206892 230456 254216 278161 302295

0 152.386 175.488 188.835 189.043 198.787 206.532 213.051 218.739 223.826 228.460 232.739 236.732 240.485 244.035 247.406 250.620 253.690 256.631 259.452 262.162 264.769 269.706 274.312 278.625 282.680 286.504 290.120 293.550 296.812 299.919 302.887 308.448 313.573 318.328 322.764 326.926

−9172 −6140 −2975 0 55 3034 5991 8943 11902 14881 17889 20935 24024 27159 30340 33567 36838 40151 43502 46890 50311 53763 60751 67840 75018 82268 89585 96960 104388 111864 119382 126940 142165 157522 173002 188598 204309

0 149.591 171.592 183.709 183.894 192.466 199.066 204.448 209.008 212.984 216.526 219.735 222.680 225.408 227.955 230.347 232.604 234.741 236.772 238.707 240.556 242.328 245.659 248.743 251.614 254.301 256.825 259.205 261.456 263.592 265.625 267.563 271.191 274.531 277.629 280.518 283.227

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April 18, 2017

SI UNITS: SINGLE-STATE PROPERTIES

TABLE A.9 Ideal Gas Properties of Various Substances (SI Units), Entropies at 0.1-MPa (1-Bar) Pressure, Mole Basis (continued )

Hydrogen (H2 ) 0 h̄ f ,298 = 0 kJ/kmol M = 2.016 kg/kmol

Hydrogen, Monatomic (H) 0 h̄ f ,298 = 217 999 kJ/kmol M = 1.008 kg/kmol

T K

(h̄ − h̄ 298 ) kJ/kmol

s̄ 0T kJ/kmol-K

(h̄ − h̄ 298 ) kJ/kmol

s̄ 0T kJ/kmol-K

0 100 200 298 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2200 2400 2600 2800 3000 3200 3400 3600 3800 4000 4400 4800 5200 5600 6000

−8467 −5467 −2774 0 53 2961 5883 8799 11730 14681 17657 20663 23704 26785 29907 33073 36281 39533 42826 46160 49532 52942 59865 66915 74082 81355 88725 96187 103736 111367 119077 126864 142658 158730 175057 191607 208332

0 100.727 119.410 130.678 130.856 139.219 145.738 151.078 155.609 159.554 163.060 166.225 169.121 171.798 174.294 176.637 178.849 180.946 182.941 184.846 186.670 188.419 191.719 194.789 197.659 200.355 202.898 205.306 207.593 209.773 211.856 213.851 217.612 221.109 224.379 227.447 230.322

−6197 −4119 −2040 0 38 2117 4196 6274 8353 10431 12510 14589 16667 18746 20825 22903 24982 27060 29139 31218 33296 35375 39532 43689 47847 52004 56161 60318 64475 68633 72790 76947 85261 93576 101890 110205 118519

0 92.009 106.417 114.716 114.845 120.825 125.463 129.253 132.457 135.233 137.681 139.871 141.852 143.661 145.324 146.865 148.299 149.640 150.900 152.089 153.212 154.279 156.260 158.069 159.732 161.273 162.707 164.048 165.308 166.497 167.620 168.687 170.668 172.476 174.140 175.681 177.114

0

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SI UNITS: SINGLE-STATE PROPERTIES

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TABLE A.9 Ideal Gas Properties of Various Substances (SI Units), Entropies at 0.1-MPa (1-Bar) Pressure, Mole Basis (continued )

Nitric Oxide (NO) 0 h̄ f ,298 = 90 291 kJ/kmol M = 30.006 kg/kmol

Nitrogen Dioxide (NO2 ) 0 h̄ f ,298 = 33 100 kJ/kmol M = 46.005 kg/kmol

T K

(h̄ − h̄ 298 ) kJ/kmol

s̄ 0T kJ/kmol-K

(h̄ − h̄ 298 ) kJ/kmol

0 100 200 298 300 400 500 600 700 800 900 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2200 2400 2600 2800 3000 3200 3400 3600 3800 4000 4400 4800 5200 5600 6000

−9192 −6073 −2951 0 55 3040 6059 9144 12308 15548 18858 22229 25653 29120 32626 36164 39729 43319 46929 50557 54201 57859 65212 72606 80034 87491 94973 102477 110000 117541 125099 132671 147857 163094 178377 193703 209070

0 177.031 198.747 210.759 210.943 219.529 226.263 231.886 236.762 241.088 244.985 248.536 251.799 254.816 257.621 260.243 262.703 265.019 267.208 269.282 271.252 273.128 276.632 279.849 282.822 285.585 288.165 290.587 292.867 295.022 297.065 299.007 302.626 305.940 308.998 311.838 314.488

−10186 −6861 −3495 0 68 3927 8099 12555 17250 22138 27180 32344 37606 42946 48351 53808 59309 64846 70414 76008 81624 87259 98578 109948 121358 132800 144267 155756 167262 178783 190316 201860 224973 248114 271276 294455 317648

0

0

s̄ 0T kJ/kmol-K 0 202.563 225.852 240.034 240.263 251.342 260.638 268.755 275.988 282.513 288.450 293.889 298.904 303.551 307.876 311.920 315.715 319.289 322.664 325.861 328.898 331.788 337.182 342.128 346.695 350.934 354.890 358.597 362.085 365.378 368.495 371.456 376.963 381.997 386.632 390.926 394.926

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APPENDIX A

April 18, 2017

SI UNITS: SINGLE-STATE PROPERTIES

TABLE A.10 Enthalpy of Formation and Absolute Entropy of Various Substances at 25◦ C, 100 kPa Pressure

Substance

Formula

M kg/kmol

Acetylene Ammonia Benzene Carbon dioxide Carbon (graphite) Carbon monoxide Ethane Ethene Ethanol Ethanol Heptane Hexane Hydrogen peroxide Methane Methanol Methanol n-Butane Nitrogen oxide Nitromethane n-Octane n-Octane Ozone Pentane Propane Propene Sulfur Sulfur dioxide Sulfur trioxide T-T-Diesel Water Water

C2 H2 NH3 C6 H6 CO2 C CO C2 H6 C2 H4 C2 H5 OH C2 H5 OH C7 H16 C6 H14 H2 O2 CH4 CH3 OH CH3 OH C4 H10 N2 O CH3 NO2 C8 H18 C8 H18 O3 C5 H12 C3 H8 C3 H6 S SO2 SO3 C14.4 H24.9 H2 O H2 O

26.038 17.031 78.114 44.010 12.011 28.011 30.070 28.054 46.069 46.069 100.205 86.178 34.015 16.043 32.042 32.042 58.124 44.013 61.04 114.232 114.232 47.998 72.151 44.094 42.081 32.06 64.059 80.058 198.06 18.015 18.015

State gas gas gas gas solid gas gas gas gas liq gas gas gas gas gas liq gas gas liq gas liq gas gas gas gas solid gas gas liq gas liq

0 h̄ f kJ/kmol

+226 731 −45 720 +82 980 −393 522 0 −110 527 −84 740 +52 467 −235 000 −277 380 −187 900 −167 300 −136 106 −74 873 −201 300 −239 220 −126 200 +82 050 −113 100 −208 600 −250 105 +142 674 −146 500 −103 900 +20 430 0 −296 842 −395 765 −174 000 −241 826 −285 830

s̄ 0f kJ/kmol-K 200.958 192.572 269.562 213.795 5.740 197.653 229.597 219.330 282.444 160.554 427.805 387.979 232.991 186.251 239.709 126.809 306.647 219.957 171.80 466.514 360.575 238.932 348.945 269.917 267.066 32.056 248.212 256.769 525.90 188.834 69.950

17:44

−164.003 −92.830 −39.810 −30.878 −24.467 −19.638 −15.868 −12.841 −10.356 −8.280 −6.519 −5.005 −3.690 −2.538 −1.519 −0.611 0.201 0.934 2.483 3.724 4.739 5.587

298 500 1000 1200 1400 1600 1800 2000 2200 2400 2600 2800 3000 3200 3400 3600 3800 4000 4500 5000 5500 6000

−186.963 −105.623 −45.146 −35.003 −27.741 −22.282 −18.028 −14.619 −11.826 −9.495 −7.520 −5.826 −4.356 −3.069 −1.932 −0.922 −0.017 0.798 2.520 3.898 5.027 5.969

O2 ⇌ 2O −367.528 −213.405 −99.146 −80.025 −66.345 −56.069 −48.066 −41.655 −36.404 −32.023 −28.313 −25.129 −22.367 −19.947 −17.810 −15.909 −14.205 −12.671 −9.423 −6.816 −4.672 −2.876

N2 ⇌ 2N −184.420 −105.385 −46.321 −36.363 −29.222 −23.849 −19.658 −16.299 −13.546 −11.249 −9.303 −7.633 −6.184 −4.916 −3.795 −2.799 −1.906 −1.101 0.602 1.972 3.098 4.040

2H2 O ⇌ 2H2 + O2

v

−212.075 −120.331 −51.951 −40.467 −32.244 −26.067 −21.258 −17.406 −14.253 −11.625 −9.402 −7.496 −5.845 −4.401 −3.128 −1.996 −0.984 −0.074 1.847 3.383 4.639 5.684

2H2 O ⇌ H2 + 2OH

v

−207.529 −115.234 −47.052 −35.736 −27.679 −21.656 −16.987 −13.266 −10.232 −7.715 −5.594 −3.781 −2.217 −0.853 0.346 1.408 2.355 3.204 4.985 6.397 7.542 8.488

2CO2 ⇌ 2CO + O2

yCC yDD ( P )vC +vD −vA −vB 0 , P = 0.1 MPa v v yAA yBB P0

−69.868 −40.449 −18.709 −15.082 −12.491 −10.547 −9.035 −7.825 −6.836 −6.012 −5.316 −4.720 −4.205 −3.755 −3.359 −3.008 −2.694 −2.413 −1.824 −1.358 −0.980 −0.671

N2 + O2 ⇌ 2NO

−41.355 −30.725 −23.039 −21.752 −20.826 −20.126 −19.577 −19.136 −18.773 −18.470 −18.214 −17.994 −17.805 −17.640 −17.496 −17.369 −17.257 −17.157 −16.953 −16.797 −16.678 −16.588

N2 + 2O2 ⇌ 2NO2

WB01856-ISV-Borgnakke

Source: Consistent with thermodynamic data in JANAF Thermochemical Tables, third edition, Thermal Group, Dow Chemical U.S.A., Midland, MI, 1985.

H2 ⇌ 2H

Temp K

K=

For the reaction vA A + vB B ⇌ vC C + vD D, the equilibrium constant K is defined as

TABLE A.11 Logarithms to the Base e of the Equilibrium Constant K

WB01856-appa April 18, 2017

19

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APP

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E

April 19, 2017

NDIX

SI Units: ~ B Thermodynamic Tables

21

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.1 Thermodynamic Properties of Water TABLE B.1.1 Saturated Water

Specific Volume, m3 /kg

Internal Energy, kJ/kg

Temp. (◦ C)

Press. (kPa)

Sat. Liquid vf

Evap. vf g

Sat. Vapor vg

Sat. Liquid uf

Evap. uf g

Sat. Vapor ug

0.01 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190

0.6113 0.8721 1.2276 1.705 2.339 3.169 4.246 5.628 7.384 9.593 12.350 15.758 19.941 25.03 31.19 38.58 47.39 57.83 70.14 84.55 101.3 120.8 143.3 169.1 198.5 232.1 270.1 313.0 361.3 415.4 475.9 543.1 617.8 700.5 791.7 892.0 1002.2 1122.7 1254.4

0.001000 0.001000 0.001000 0.001001 0.001002 0.001003 0.001004 0.001006 0.001008 0.001010 0.001012 0.001015 0.001017 0.001020 0.001023 0.001026 0.001029 0.001032 0.001036 0.001040 0.001044 0.001047 0.001052 0.001056 0.001060 0.001065 0.001070 0.001075 0.001080 0.001085 0.001090 0.001096 0.001102 0.001108 0.001114 0.001121 0.001127 0.001134 0.001141

206.131 147.117 106.376 77.924 57.7887 43.3583 32.8922 25.2148 19.5219 15.2571 12.0308 9.56734 7.66969 6.19554 5.04114 4.13021 3.40612 2.82654 2.35953 1.98082 1.67185 1.41831 1.20909 1.03552 0.89080 0.76953 0.66744 0.58110 0.50777 0.44524 0.39169 0.34566 0.30596 0.27158 0.24171 0.21568 0.19292 0.17295 0.15539

206.132 147.118 106.377 77.925 57.7897 43.3593 32.8932 25.2158 19.5229 15.2581 12.0318 9.56835 7.67071 6.19656 5.04217 4.13123 3.40715 2.82757 2.36056 1.98186 1.67290 1.41936 1.21014 1.03658 0.89186 0.77059 0.66850 0.58217 0.50885 0.44632 0.39278 0.34676 0.30706 0.27269 0.24283 0.21680 0.19405 0.17409 0.15654

0 20.97 41.99 62.98 83.94 104.86 125.77 146.65 167.53 188.41 209.30 230.19 251.09 272.00 292.93 313.87 334.84 355.82 376.82 397.86 418.91 440.00 461.12 482.28 503.48 524.72 546.00 567.34 588.72 610.16 631.66 653.23 674.85 696.55 718.31 740.16 762.08 784.08 806.17

2375.33 2361.27 2347.16 2333.06 2318.98 2304.90 2290.81 2276.71 2262.57 2248.40 2234.17 2219.89 2205.54 2191.12 2176.62 2162.03 2147.36 2132.58 2117.70 2102.70 2087.58 2072.34 2056.96 2041.44 2025.76 2009.91 1993.90 1977.69 1961.30 1944.69 1927.87 1910.82 1893.52 1875.97 1858.14 1840.03 1821.62 1802.90 1783.84

2375.33 2382.24 2389.15 2396.04 2402.91 2409.76 2416.58 2423.36 2430.11 2436.81 2443.47 2450.08 2456.63 2463.12 2469.55 2475.91 2482.19 2488.40 2494.52 2500.56 2506.50 2512.34 2518.09 2523.72 2529.24 2534.63 2539.90 2545.03 2550.02 2554.86 2559.54 2564.04 2568.37 2572.51 2576.46 2580.19 2583.70 2586.98 2590.01

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April 19, 2017

APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 23

TABLE B.1.1 Saturated Water (continued )

Enthalpy, kJ/kg

Entropy, kJ/kg-K

Temp. (◦ C)

Press. (kPa)

Sat. Liquid hf

Evap. hf g

Sat. Vapor hg

Sat. Liquid sf

Evap. sf g

Sat. Vapor sg

0.01 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190

0.6113 0.8721 1.2276 1.705 2.339 3.169 4.246 5.628 7.384 9.593 12.350 15.758 19.941 25.03 31.19 38.58 47.39 57.83 70.14 84.55 101.3 120.8 143.3 169.1 198.5 232.1 270.1 313.0 361.3 415.4 475.9 543.1 617.8 700.5 791.7 892.0 1002.2 1122.7 1254.4

0.00 20.98 41.99 62.98 83.94 104.87 125.77 146.66 167.54 188.42 209.31 230.20 251.11 272.03 292.96 313.91 334.88 355.88 376.90 397.94 419.02 440.13 461.27 482.46 503.69 524.96 546.29 567.67 589.11 610.61 632.18 653.82 675.53 697.32 719.20 741.16 763.21 785.36 807.61

2501.35 2489.57 2477.75 2465.93 2454.12 2442.30 2430.48 2418.62 2406.72 2394.77 2382.75 2370.66 2358.48 2346.21 2333.85 2321.37 2308.77 2296.05 2283.19 2270.19 2257.03 2243.70 2230.20 2216.50 2202.61 2188.50 2174.16 2159.59 2144.75 2129.65 2114.26 2098.56 2082.55 2066.20 2049.50 2032.42 2014.96 1997.07 1978.76

2501.35 2510.54 2519.74 2528.91 2538.06 2547.17 2556.25 2565.28 2574.26 2583.19 2592.06 2600.86 2609.59 2618.24 2626.80 2635.28 2643.66 2651.93 2660.09 2668.13 2676.05 2683.83 2691.47 2698.96 2706.30 2713.46 2720.46 2727.26 2733.87 2740.26 2746.44 2752.39 2758.09 2763.53 2768.70 2773.58 2778.16 2782.43 2786.37

0 0.0761 0.1510 0.2245 0.2966 0.3673 0.4369 0.5052 0.5724 0.6386 0.7037 0.7679 0.8311 0.8934 0.9548 1.0154 1.0752 1.1342 1.1924 1.2500 1.3068 1.3629 1.4184 1.4733 1.5275 1.5812 1.6343 1.6869 1.7390 1.7906 1.8417 1.8924 1.9426 1.9924 2.0418 2.0909 2.1395 2.1878 2.2358

9.1562 8.9496 8.7498 8.5569 8.3706 8.1905 8.0164 7.8478 7.6845 7.5261 7.3725 7.2234 7.0784 6.9375 6.8004 6.6670 6.5369 6.4102 6.2866 6.1659 6.0480 5.9328 5.8202 5.7100 5.6020 5.4962 5.3925 5.2907 5.1908 5.0926 4.9960 4.9010 4.8075 4.7153 4.6244 4.5347 4.4461 4.3586 4.2720

9.1562 9.0257 8.9007 8.7813 8.6671 8.5579 8.4533 8.3530 8.2569 8.1647 8.0762 7.9912 7.9095 7.8309 7.7552 7.6824 7.6121 7.5444 7.4790 7.4158 7.3548 7.2958 7.2386 7.1832 7.1295 7.0774 7.0269 6.9777 6.9298 6.8832 6.8378 6.7934 6.7501 6.7078 6.6663 6.6256 6.5857 6.5464 6.5078

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.1.1 Saturated Water (continued )

Specific Volume, m3 /kg

Internal Energy, kJ/kg

Temp. (◦ C)

Press. (kPa)

Sat. Liquid vf

Evap. vf g

Sat. Vapor vg

Sat. Liquid uf

Evap. uf g

Sat. Vapor ug

195 200 205 210 215 220 225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300 305 310 315 320 325 330 335 340 345 350 355 360 365 370 374.1

1397.8 1553.8 1723.0 1906.3 2104.2 2317.8 2547.7 2794.9 3060.1 3344.2 3648.2 3973.0 4319.5 4688.6 5081.3 5498.7 5941.8 6411.7 6909.4 7436.0 7992.8 8581.0 9201.8 9856.6 10547 11274 12040 12845 13694 14586 15525 16514 17554 18651 19807 21028 22089

0.001149 0.001156 0.001164 0.001173 0.001181 0.001190 0.001199 0.001209 0.001219 0.001229 0.001240 0.001251 0.001263 0.001276 0.001289 0.001302 0.001317 0.001332 0.001348 0.001366 0.001384 0.001404 0.001425 0.001447 0.001472 0.001499 0.001528 0.001561 0.001597 0.001638 0.001685 0.001740 0.001807 0.001892 0.002011 0.002213 0.003155

0.13990 0.12620 0.11405 0.10324 0.09361 0.08500 0.07729 0.07037 0.06415 0.05853 0.05346 0.04887 0.04471 0.04093 0.03748 0.03434 0.03147 0.02884 0.02642 0.02420 0.02216 0.02027 0.01852 0.01690 0.01539 0.01399 0.01267 0.01144 0.01027 0.00916 0.00810 0.00707 0.00607 0.00505 0.00398 0.00271 0

0.14105 0.12736 0.11521 0.10441 0.09479 0.08619 0.07849 0.07158 0.06536 0.05976 0.05470 0.05013 0.04598 0.04220 0.03877 0.03564 0.03279 0.03017 0.02777 0.02557 0.02354 0.02167 0.01995 0.01835 0.01687 0.01549 0.01420 0.01300 0.01186 0.01080 0.00978 0.00881 0.00787 0.00694 0.00599 0.00493 0.00315

828.36 850.64 873.02 895.51 918.12 940.85 963.72 986.72 1009.88 1033.19 1056.69 1080.37 1104.26 1128.37 1152.72 1177.33 1202.23 1227.43 1252.98 1278.89 1305.21 1331.97 1359.22 1387.03 1415.44 1444.55 1474.44 1505.24 1537.11 1570.26 1605.01 1641.81 1681.41 1725.19 1776.13 1843.84 2029.58

1764.43 1744.66 1724.49 1703.93 1682.94 1661.49 1639.58 1617.17 1594.24 1570.75 1546.68 1522.00 1496.66 1470.64 1443.87 1416.33 1387.94 1358.66 1328.41 1297.11 1264.67 1230.99 1195.94 1159.37 1121.11 1080.93 1038.57 993.66 945.77 894.26 838.29 776.58 707.11 626.29 526.54 384.69 0

2592.79 2595.29 2597.52 2599.44 2601.06 2602.35 2603.30 2603.89 2604.11 2603.95 2603.37 2602.37 2600.93 2599.01 2596.60 2593.66 2590.17 2586.09 2581.38 2575.99 2569.87 2562.96 2555.16 2546.40 2536.55 2525.48 2513.01 2498.91 2482.88 2464.53 2443.30 2418.39 2388.52 2351.47 2302.67 2228.53 2029.58

16:3

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APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 25

TABLE B.1.1 Saturated Water (continued )

Enthalpy, kJ/kg

Entropy, kJ/kg-K

Temp. (◦ C)

Press. (kPa)

Sat. Liquid hf

Evap. hf g

Sat. Vapor hg

Sat. Liquid sf

Evap. sf g

Sat. Vapor sg

195 200 205 210 215 220 225 230 235 240 245 250 255 260 265 270 275 280 285 290 295 300 305 310 315 320 325 330 335 340 345 350 355 360 365 370 374.1

1397.8 1553.8 1723.0 1906.3 2104.2 2317.8 2547.7 2794.9 3060.1 3344.2 3648.2 3973.0 4319.5 4688.6 5081.3 5498.7 5941.8 6411.7 6909.4 7436.0 7992.8 8581.0 9201.8 9856.6 10547 11274 12040 12845 13694 14586 15525 16514 17554 18651 19807 21028 22089

829.96 852.43 875.03 897.75 920.61 943.61 966.77 990.10 1013.61 1037.31 1061.21 1085.34 1109.72 1134.35 1159.27 1184.49 1210.05 1235.97 1262.29 1289.04 1316.27 1344.01 1372.33 1401.29 1430.97 1461.45 1492.84 1525.29 1558.98 1594.15 1631.17 1670.54 1713.13 1760.48 1815.96 1890.37 2099.26

1959.99 1940.75 1921.00 1900.73 1879.91 1858.51 1836.50 1813.85 1790.53 1766.50 1741.73 1716.18 1689.80 1662.54 1634.34 1605.16 1574.92 1543.55 1510.97 1477.08 1441.78 1404.93 1366.38 1325.97 1283.48 1238.64 1191.13 1140.56 1086.37 1027.86 964.02 893.38 813.59 720.52 605.44 441.75 0

2789.96 2793.18 2796.03 2798.48 2800.51 2802.12 2803.27 2803.95 2804.13 2803.81 2802.95 2801.52 2799.51 2796.89 2793.61 2789.65 2784.97 2779.53 2773.27 2766.13 2758.05 2748.94 2738.72 2727.27 2714.44 2700.08 2683.97 2665.85 2645.35 2622.01 2595.19 2563.92 2526.72 2481.00 2421.40 2332.12 2099.26

2.2835 2.3308 2.3779 2.4247 2.4713 2.5177 2.5639 2.6099 2.6557 2.7015 2.7471 2.7927 2.8382 2.8837 2.9293 2.9750 3.0208 3.0667 3.1129 3.1593 3.2061 3.2533 3.3009 3.3492 3.3981 3.4479 3.4987 3.5506 3.6040 3.6593 3.7169 3.7776 3.8427 3.9146 3.9983 4.1104 4.4297

4.1863 4.1014 4.0172 3.9337 3.8507 3.7683 3.6863 3.6047 3.5233 3.4422 3.3612 3.2802 3.1992 3.1181 3.0368 2.9551 2.8730 2.7903 2.7069 2.6227 2.5375 2.4511 2.3633 2.2737 2.1821 2.0882 1.9913 1.8909 1.7863 1.6763 1.5594 1.4336 1.2951 1.1379 0.9487 0.6868 0

6.4697 6.4322 6.3951 6.3584 6.3221 6.2860 6.2502 6.2146 6.1791 6.1436 6.1083 6.0729 6.0374 6.0018 5.9661 5.9301 5.8937 5.8570 5.8198 5.7821 5.7436 5.7044 5.6642 5.6229 5.5803 5.5361 5.4900 5.4416 5.3903 5.3356 5.2763 5.2111 5.1378 5.0525 4.9470 4.7972 4.4297

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26

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.1.2 Saturated Water Pressure Entry

Specific Volume, m3 /kg

Internal Energy, kJ/kg

Press. (kPa)

Temp. (◦ C)

Sat. Liquid vf

Evap. vf g

Sat. Vapor vg

Sat. Liquid uf

Evap. uf g

Sat. Vapor ug

0.6113 1 1.5 2 2.5 3 4 5 7.5 10 15 20 25 30 40 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 450 500 550 600 650 700 750 800

0.01 6.98 13.03 17.50 21.08 24.08 28.96 32.88 40.29 45.81 53.97 60.06 64.97 69.10 75.87 81.33 91.77 99.62 105.99 111.37 116.06 120.23 124.00 127.43 130.60 133.55 136.30 138.88 141.32 143.63 147.93 151.86 155.48 158.85 162.01 164.97 167.77 170.43

0.001000 0.001000 0.001001 0.001001 0.001002 0.001003 0.001004 0.001005 0.001008 0.001010 0.001014 0.001017 0.001020 0.001022 0.001026 0.001030 0.001037 0.001043 0.001048 0.001053 0.001057 0.001061 0.001064 0.001067 0.001070 0.001073 0.001076 0.001079 0.001081 0.001084 0.001088 0.001093 0.001097 0.001101 0.001104 0.001108 0.001111 0.001115

206.131 129.20702 87.97913 67.00285 54.25285 45.66402 34.79915 28.19150 19.23674 14.67254 10.02117 7.64835 6.20322 5.22816 3.99243 3.23931 2.21607 1.69296 1.37385 1.15828 1.00257 0.88467 0.79219 0.71765 0.65624 0.60475 0.56093 0.52317 0.49029 0.46138 0.41289 0.37380 0.34159 0.31457 0.29158 0.27176 0.25449 0.23931

206.132 129.20802 87.98013 67.00385 54.25385 45.66502 34.80015 28.19251 19.23775 14.67355 10.02218 7.64937 6.20424 5.22918 3.99345 3.24034 2.21711 1.69400 1.37490 1.15933 1.00363 0.88573 0.79325 0.71871 0.65731 0.60582 0.56201 0.52425 0.49137 0.46246 0.41398 0.37489 0.34268 0.31567 0.29268 0.27286 0.25560 0.24043

0 29.29 54.70 73.47 88.47 101.03 121.44 137.79 168.76 191.79 225.90 251.35 271.88 289.18 317.51 340.42 394.29 417.33 444.16 466.92 486.78 504.47 520.45 535.08 548.57 561.13 572.88 583.93 594.38 604.29 622.75 639.66 655.30 669.88 683.55 696.43 708.62 720.20

2375.3 2355.69 2338.63 2326.02 2315.93 2307.48 2293.73 2282.70 2261.74 2246.10 2222.83 2205.36 2191.21 2179.22 2159.49 2143.43 2112.39 2088.72 2069.32 2052.72 2038.12 2025.02 2013.10 2002.14 1991.95 1982.43 1973.46 1964.98 1956.93 1949.26 1934.87 1921.57 1909.17 1897.52 1886.51 1876.07 1866.11 1856.58

2375.3 2384.98 2393.32 2399.48 2404.40 2408.51 2415.17 2420.49 2430.50 2437.89 2448.73 2456.71 2463.08 2468.40 2477.00 2483.85 2496.67 2506.06 2513.48 2519.64 2524.90 2529.49 2533.56 2537.21 2540.53 2543.55 2546.34 2548.92 2551.31 2553.55 2557.62 2561.23 2564.47 2567.40 2570.06 2572.49 2574.73 2576.79

16:3

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April 19, 2017

APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 27

TABLE B.1.2 Saturated Water Pressure Entry (continued )

Enthalpy, kJ/kg

Entropy, kJ/kg-K

Press. (kPa)

Temp. (◦ C)

Sat. Liquid hf

Evap. hf g

Sat. Vapor hg

Sat. Liquid sf

Evap. sf g

Sat. Vapor sg

0.6113 1.0 1.5 2.0 2.5 3.0 4.0 5.0 7.5 10 15 20 25 30 40 50 75 100 125 150 175 200 225 250 275 300 325 350 375 400 450 500 550 600 650 700 750 800

0.01 6.98 13.03 17.50 21.08 24.08 28.96 32.88 40.29 45.81 53.97 60.06 64.97 69.10 75.87 81.33 91.77 99.62 105.99 111.37 116.06 120.23 124.00 127.43 130.60 133.55 136.30 138.88 141.32 143.63 147.93 151.86 155.48 158.85 162.01 164.97 167.77 170.43

0.00 29.29 54.70 73.47 88.47 101.03 121.44 137.79 168.77 191.81 225.91 251.38 271.90 289.21 317.55 340.47 384.36 417.44 444.30 467.08 486.97 504.68 520.69 535.34 548.87 561.45 573.23 584.31 594.79 604.73 623.24 640.21 655.91 670.54 684.26 697.20 709.45 721.10

2501.3 2484.89 2470.59 2460.02 2451.56 2444.47 2432.93 2423.66 2406.02 2392.82 2373.14 2358.33 2346.29 2336.07 2319.19 2305.40 2278.59 2258.02 2241.05 2226.46 2213.57 2201.96 2191.35 2181.55 2172.42 2163.85 2155.76 2148.10 2140.79 2133.81 2120.67 2108.47 2097.04 2086.26 2076.04 2066.30 2056.98 2048.04

2501.3 2514.18 2525.30 2533.49 2540.03 2545.50 2554.37 2561.45 2574.79 2584.63 2599.06 2609.70 2618.19 2625.28 2636.74 2645.87 2662.96 2675.46 2685.35 2693.54 2700.53 2706.63 2712.04 2716.89 2721.29 2725.30 2728.99 2732.40 2735.58 2738.53 2743.91 2748.67 2752.94 2756.80 2760.30 2763.50 2766.43 2769.13

0 0.1059 0.1956 0.2607 0.3120 0.3545 0.4226 0.4763 0.5763 0.6492 0.7548 0.8319 0.8930 0.9439 1.0258 1.0910 1.2129 1.3025 1.3739 1.4335 1.4848 1.5300 1.5705 1.6072 1.6407 1.6717 1.7005 1.7274 1.7527 1.7766 1.8206 1.8606 1.8972 1.9311 1.9627 1.9922 2.0199 2.0461

9.1562 8.8697 8.6322 8.4629 8.3311 8.2231 8.0520 7.9187 7.6751 7.5010 7.2536 7.0766 6.9383 6.8247 6.6441 6.5029 6.2434 6.0568 5.9104 5.7897 5.6868 5.5970 5.5173 5.4455 5.3801 5.3201 5.2646 5.2130 5.1647 5.1193 5.0359 4.9606 4.8920 4.8289 4.7704 4.7158 4.6647 4.6166

9.1562 8.9756 8.8278 8.7236 8.6431 8.5775 8.4746 8.3950 8.2514 8.1501 8.0084 7.9085 7.8313 7.7686 7.6700 7.5939 7.4563 7.3593 7.2843 7.2232 7.1717 7.1271 7.0878 7.0526 7.0208 6.9918 6.9651 6.9404 6.9174 6.8958 6.8565 6.8212 6.7892 6.7600 6.7330 6.7080 6.6846 6.6627

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28

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.1.2 Saturated Water Pressure Entry (continued )

Specific Volume, m3 /kg

Internal Energy, kJ/kg

Press. (kPa)

Temp. (◦ C)

Sat. Liquid vf

Evap. vf g

Sat. Vapor vg

Sat. Liquid uf

Evap. uf g

Sat. Vapor ug

850 900 950 1000 1100 1200 1300 1400 1500 1750 2000 2250 2500 2750 3000 3250 3500 4000 5000 6000 7000 8000 9000 10000 11000 12000 13000 14000 15000 16000 17000 18000 19000 20000 21000 22000 22089

172.96 175.38 177.69 179.91 184.09 187.99 191.64 195.07 198.32 205.76 212.42 218.45 223.99 229.12 233.90 238.38 242.60 250.40 263.99 275.64 285.88 295.06 303.40 311.06 318.15 324.75 330.93 336.75 342.24 347.43 352.37 357.06 361.54 365.81 369.89 373.80 374.14

0.001118 0.001121 0.001124 0.001127 0.001133 0.001139 0.001144 0.001149 0.001154 0.001166 0.001177 0.001187 0.001197 0.001207 0.001216 0.001226 0.001235 0.001252 0.001286 0.001319 0.001351 0.001384 0.001418 0.001452 0.001489 0.001527 0.001567 0.001611 0.001658 0.001711 0.001770 0.001840 0.001924 0.002035 0.002206 0.002808 0.003155

0.22586 0.21385 0.20306 0.19332 0.17639 0.16220 0.15011 0.13969 0.13062 0.11232 0.09845 0.08756 0.07878 0.07154 0.06546 0.06029 0.05583 0.04853 0.03815 0.03112 0.02602 0.02213 0.01907 0.01657 0.01450 0.01274 0.01121 0.00987 0.00868 0.00760 0.00659 0.00565 0.00473 0.00380 0.00275 0.00072 0

0.22698 0.21497 0.20419 0.19444 0.17753 0.16333 0.15125 0.14084 0.13177 0.11349 0.09963 0.08875 0.07998 0.07275 0.06668 0.06152 0.05707 0.04978 0.03944 0.03244 0.02737 0.02352 0.02048 0.01803 0.01599 0.01426 0.01278 0.01149 0.01034 0.00931 0.00836 0.00749 0.00666 0.00583 0.00495 0.00353 0.00315

731.25 741.81 751.94 761.67 780.08 797.27 813.42 828.68 843.14 876.44 906.42 933.81 959.09 982.65 1004.76 1025.62 1045.41 1082.28 1147.78 1205.41 1257.51 1305.54 1350.47 1393.00 1433.68 1472.92 1511.09 1548.53 1585.58 1622.63 1660.16 1698.86 1739.87 1785.47 1841.97 1973.16 2029.58

1847.45 1838.65 1830.17 1821.97 1806.32 1791.55 1777.53 1764.15 1751.3 1721.39 1693.84 1668.18 1644.04 1621.16 1599.34 1578.43 1558.29 1519.99 1449.34 1384.27 1322.97 1264.25 1207.28 1151.40 1096.06 1040.76 984.99 928.23 869.85 809.07 744.80 675.42 598.18 507.58 388.74 108.24 0

2578.69 2580.46 2582.11 2583.64 2586.40 2588.82 2590.95 2592.83 2594.5 2597.83 2600.26 2601.98 2603.13 2603.81 2604.10 2604.04 2603.70 2602.27 2597.12 2589.69 2580.48 2569.79 2557.75 2544.41 2529.74 2513.67 2496.08 2476.76 2455.43 2431.70 2404.96 2374.28 2338.05 2293.05 2230.71 2081.39 2029.58

16:3

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April 19, 2017

APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 29

TABLE B.1.2 Saturated Water Pressure Entry (continued )

Enthalpy, kJ/kg

Entropy, kJ/kg-K

Press. (kPa)

Temp. (◦ C)

Sat. Liquid hf

Evap. hf g

Sat. Vapor hg

Sat. Liquid sf

Evap. sf g

Sat. Vapor sg

850 900 950 1000 1100 1200 1300 1400 1500 1750 2000 2250 2500 2750 3000 3250 3500 4000 5000 6000 7000 8000 9000 10000 11000 12000 13000 14000 15000 16000 17000 18000 19000 20000 21000 22000 22089

172.96 175.38 177.69 179.91 184.09 187.99 191.64 195.07 198.32 205.76 212.42 218.45 223.99 229.12 233.90 238.38 242.60 250.40 263.99 275.64 285.88 295.06 303.40 311.06 318.15 324.75 330.93 336.75 342.24 347.43 352.37 357.06 361.54 365.81 369.89 373.80 374.14

732.20 742.82 753.00 762.79 781.32 798.64 814.91 830.29 844.87 878.48 908.77 936.48 962.09 985.97 1008.41 1029.60 1049.73 1087.29 1154.21 1213.32 1266.97 1316.61 1363.23 1407.53 1450.05 1491.24 1531.46 1571.08 1610.45 1650.00 1690.25 1731.97 1776.43 1826.18 1888.30 2034.92 2099.26

2039.43 2031.12 2023.08 2015.29 2000.36 1986.19 1972.67 1959.72 1947.28 1917.95 1890.74 1865.19 1840.98 1817.89 1795.73 1774.37 1753.70 1714.09 1640.12 1571.00 1505.10 1441.33 1378.88 1317.14 1255.55 1193.59 1130.76 1066.47 1000.04 930.59 856.90 777.13 688.11 583.56 446.42 124.04 0

2771.63 2773.94 2776.08 2778.08 2781.68 2784.82 2787.58 2790.00 2792.15 2796.43 2799.51 2801.67 2803.07 2803.86 2804.14 2803.97 2803.43 2801.38 2794.33 2784.33 2772.07 2757.94 2742.11 2724.67 2705.60 2684.83 2662.22 2637.55 2610.49 2580.59 2547.15 2509.09 2464.54 2409.74 2334.72 2158.97 2099.26

2.0709 2.0946 2.1171 2.1386 2.1791 2.2165 2.2514 2.2842 2.3150 2.3851 2.4473 2.5034 2.5546 2.6018 2.6456 2.6866 2.7252 2.7963 2.9201 3.0266 3.1210 3.2067 3.2857 3.3595 3.4294 3.4961 3.5604 3.6231 3.6847 3.7460 3.8078 3.8713 3.9387 4.0137 4.1073 4.3307 4.4297

4.5711 4.5280 4.4869 4.4478 4.3744 4.3067 4.2438 4.1850 4.1298 4.0044 3.8935 3.7938 3.7028 3.6190 3.5412 3.4685 3.4000 3.2737 3.0532 2.8625 2.6922 2.5365 2.3915 2.2545 2.1233 1.9962 1.8718 1.7485 1.6250 1.4995 1.3698 1.2330 1.0841 0.9132 0.6942 0.1917 0

6.6421 6.6225 6.6040 6.5864 6.5535 6.5233 6.4953 6.4692 6.4448 6.3895 6.3408 6.2971 6.2574 6.2208 6.1869 6.1551 6.1252 6.0700 5.9733 5.8891 5.8132 5.7431 5.6771 5.6140 5.5527 5.4923 5.4323 5.3716 5.3097 5.2454 5.1776 5.1044 5.0227 4.9269 4.8015 4.5224 4.4297

16:3

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30

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⋮ ⋮ ⋮

APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.1.3 Superheated Vapor Water

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

P = 10 kPa (45.81◦ C) Sat. 50 100 150 200 250 300 400 500 600 700 800 900 1000 1100 1200 1300

14.67355 14.86920 17.19561 19.51251 21.82507 24.13559 26.44508 31.06252 35.67896 40.29488 44.91052 49.52599 54.14137 58.75669 63.37198 67.98724 72.60250

2437.89 2443.87 2515.50 2587.86 2661.27 2735.95 2812.06 2968.89 3132.26 3302.45 3479.63 3663.84 3855.03 4053.01 4257.47 4467.91 4683.68

2584.63 2592.56 2687.46 2782.99 2879.52 2977.31 3076.51 3279.51 3489.05 3705.40 3928.73 4159.10 4396.44 4640.58 4891.19 5147.78 5409.70

1.69400 1.93636 2.17226 2.40604 2.63876 3.10263 3.56547 4.02781 4.48986 4.95174 5.41353 5.87526 6.33696 6.79863 7.26030

2506.06 2582.75 2658.05 2733.73 2810.41 2967.85 3131.54 3301.94 3479.24 3663.53 3854.77 4052.78 4257.25 4467.70 4683.47

2675.46 2776.38 2875.27 2974.33 3074.28 3278.11 3488.09 3704.72 3928.23 4158.71 4396.12 4640.31 4890.95 5147.56 5409.49

8.1501 8.1749 8.4479 8.6881 8.9037 9.1002 9.2812 9.6076 9.8977 10.1608 10.4028 10.6281 10.8395 11.0392 11.2287 11.4090 14.5810

3.24034 — 3.41833 3.88937 4.35595 4.82045 5.28391 6.20929 7.13364 8.05748 8.98104 9.90444 10.82773 11.75097 12.67418 13.59737 14.52054

0.60582 0.63388 0.71629

2543.55 2570.79 2650.65

2725.30 2760.95 2865.54

s (kJ/kg-K)

2483.85 — 2511.61 2585.61 2659.85 2734.97 2811.33 2968.43 3131.94 3302.22 3479.45 3663.70 3854.91 4052.91 4257.37 4467.82 4683.58

2645.87 — 2682.52 2780.08 2877.64 2975.99 3075.52 3278.89 3488.62 3705.10 3928.51 4158.92 4396.30 4640.46 4891.08 5147.69 5409.61

7.5939 — 7.6947 7.9400 8.1579 8.3555 8.5372 8.8641 9.1545 9.4177 9.6599 9.8852 10.0967 10.2964 10.4858 10.6662 10.8382

200 kPa (120.23◦ C) 7.3593 7.6133 7.8342 8.0332 8.2157 8.5434 8.8341 9.0975 9.3398 9.5652 9.7767 9.9764 10.1658 10.3462 10.5182

0.88573 0.95964 1.08034 1.19880 1.31616 1.54930 1.78139 2.01297 2.24426 2.47539 2.70643 2.93740 3.16834 3.39927 3.63018

300 kPa (133.55◦ C) Sat. 150 200

h (kJ/kg)

P = 50 kPa (81.33◦ C)

100 kPa (99.62◦ C) Sat. 150 200 250 300 400 500 600 700 800 900 1000 1100 1200 1300

u (kJ/kg)

2529.49 2576.87 2654.39 2731.22 2808.55 2966.69 3130.75 3301.36 3478.81 3663.19 3854.49 4052.53 4257.01 4467.46 4683.23

2706.63 2768.80 2870.46 2970.98 3071.79 3276.55 3487.03 3703.96 3927.66 4158.27 4395.77 4640.01 4890.68 5147.32 5409.26

7.1271 7.2795 7.5066 7.7085 7.8926 8.2217 8.5132 8.7769 9.0194 9.2450 9.4565 9.6563 9.8458 10.0262 10.1982

400 kPa (143.63◦ C) 6.9918 7.0778 7.3115

0.46246 0.47084 0.53422

2553.55 2564.48 2646.83

2738.53 2752.82 2860.51

6.8958 6.9299 7.1706

16:3

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April 19, 2017

APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 31

TABLE B.1.3 Superheated Vapor Water (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

300 kPa (133.55◦ C) 250 300 400 500 600 700 800 900 1000 1100 1200 1300

0.79636 0.87529 1.03151 1.18669 1.34136 1.49573 1.64994 1.80406 1.95812 2.11214 2.26614 2.42013

2728.69 2806.69 2965.53 3129.95 3300.79 3478.38 3662.85 3854.20 4052.27 4256.77 4467.23 4682.99

2967.59 3069.28 3274.98 3485.96 3703.20 3927.10 4157.83 4395.42 4639.71 4890.41 5147.07 5409.03

0.37489 0.42492 0.47436 0.52256 0.57012 0.61728 0.71093 0.80406 0.89691 0.98959 1.08217 1.17469 1.26718 1.35964 1.45210

2561.23 2642.91 2723.50 2802.91 2882.59 2963.19 3128.35 3299.64 3477.52 3662.17 3853.63 4051.76 4256.29 4466.76 4682.52

2748.67 2855.37 2960.68 3064.20 3167.65 3271.83 3483.82 3701.67 3925.97 4156.96 4394.71 4639.11 4889.88 5146.58 5408.57

7.5165 7.7022 8.0329 8.3250 8.5892 8.8319 9.0575 9.2691 9.4689 9.6585 9.8389 10.0109

0.59512 0.65484 0.77262 0.88934 1.00555 1.12147 1.23722 1.35288 1.46847 1.58404 1.69958 1.81511

0.24043 0.26080 0.29314 0.32411 0.35439 0.38426 0.44331 0.50184

2576.79 2630.61 2715.46 2797.14 2878.16 2959.66 3125.95 3297.91

2769.13 2839.25 2949.97 3056.43 3161.68 3267.07 3480.60 3699.38

s (kJ/kg-K)

2726.11 2804.81 2964.36 3129.15 3300.22 3477.95 3662.51 3853.91 4052.02 4256.53 4466.99 4682.75

2964.16 3066.75 3273.41 3484.89 3702.44 3926.53 4157.40 4395.06 4639.41 4890.15 5146.83 5408.80

7.3788 7.5661 7.8984 8.1912 8.4557 8.6987 8.9244 9.1361 9.3360 9.5255 9.7059 9.8780

600 kPa (158.85◦ C) 6.8212 7.0592 7.2708 7.4598 7.6328 7.7937 8.0872 8.3521 8.5952 8.8211 9.0329 9.2328 9.4224 9.6028 9.7749

0.31567 0.35202 0.39383 0.43437 0.47424 0.51372 0.59199 0.66974 0.74720 0.82450 0.90169 0.97883 1.05594 1.13302 1.21009

800 kPa (170.43◦ C) Sat. 200 250 300 350 400 500 600

h (kJ/kg)

400 kPa (143.63◦ C)

500 kPa (15 1.86◦ C) Sat. 200 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300

u (kJ/kg)

2567.40 2638.91 2720.86 2801.00 2881.12 2962.02 3127.55 3299.07 3477.08 3661.83 3853.34 4051.51 4256.05 4466.52 4682.28

2756.80 2850.12 2957.16 3061.63 3165.66 3270.25 3482.75 3700.91 3925.41 4156.52 4394.36 4638.81 4889.61 5146.34 5408.34

6.7600 6.9665 7.1816 7.3723 7.5463 7.7078 8.0020 8.2673 8.5107 8.7367 8.9485 9.1484 9.3381 9.5185 9.6906

1000 kPa (179.91◦ C) 6.6627 6.8158 7.0384 7.2327 7.4088 7.5715 7.8672 8.1332

0.19444 0.20596 0.23268 0.25794 0.28247 0.30659 0.35411 0.40109

2583.64 2621.90 2709.91 2793.21 2875.18 2957.29 3124.34 3296.76

2778.08 2827.86 2942.59 3051.15 3157.65 3263.88 3478.44 3697.85

6.5864 6.6939 6.9246 7.1228 7.3010 7.4650 7.7621 8.0289

16:3

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⋮ ⋮ ⋮

APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.1.3 Superheated Vapor Water (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

800 kPa (170.43◦ C) 700 800 900 1000 1100 1200 1300

0.56007 0.61813 0.67610 0.73401 0.79188 0.84974 0.90758

3476.22 3661.14 3852.77 4051.00 4255.57 4466.05 4681.81

3924.27 4155.65 4393.65 4638.20 4889.08 5145.85 5407.87

0.16333 0.16930 0.19235 0.21382 0.23452 0.25480 0.29463 0.33393 0.37294 0.41177 0.45051 0.48919 0.52783 0.56646 0.60507

2588.82 2612.74 2704.20 2789.22 2872.16 2954.90 3122.72 3295.60 3474.48 3659.77 3851.62 4049.98 4254.61 4465.12 4680.86

2784.82 2815.90 2935.01 3045.80 3153.59 3260.66 3476.28 3696.32 3922.01 4153.90 4392.23 4637.00 4888.02 5144.87 5406.95

8.3770 8.6033 8.8153 9.0153 9.2049 9.3854 9.5575

0.44779 0.49432 0.54075 0.58712 0.63345 0.67977 0.72608

0.12380 0.14184 0.15862 0.17456 0.19005 0.22029 0.24998 0.27937 0.30859 0.33772 0.36678 0.39581 0.42482 0.45382

2595.95 2692.26 2781.03 2866.05 2950.09 3119.47 3293.27 3472.74 3658.40 3850.47 4048.96 4253.66 4464.18 4679.92

2794.02 2919.20 3034.83 3145.35 3254.17 3471.93 3693.23 3919.73 4152.15 4390.82 4635.81 4886.95 5143.89 5406.02

s (kJ/kg-K)

3475.35 3660.46 3852.19 4050.49 4255.09 4465.58 4681.33

3923.14 4154.78 4392.94 4637.60 4888.55 5145.36 5407.41

8.2731 8.4996 8.7118 8.9119 9.1016 9.2821 9.4542

1400 kPa (195.07◦ C) 6.5233 6.5898 6.8293 7.0316 7.2120 7.3773 7.6758 7.9434 8.1881 8.4149 8.6272 8.8274 9.0171 9.1977 9.3698

0.14084 0.14302 0.16350 0.18228 0.20026 0.21780 0.25215 0.28596 0.31947 0.35281 0.38606 0.41924 0.45239 0.48552 0.51864

1600 kPa (201.40)◦ C) Sat. 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300

h (kJ/kg)

1000 kPa (179.91◦ C)

1200 kPa (187.99◦ C) Sat. 200 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300

u (kJ/kg)

2592.83 2603.09 2698.32 2785.16 2869.12 2952.50 3121.10 3294.44 3473.61 3659.09 3851.05 4049.47 4254.14 4464.65 4680.39

2790.00 2803.32 2927.22 3040.35 3149.49 3257.42 3474.11 3694.78 3920.87 4153.03 4391.53 4636.41 4887.49 5144.38 5406.49

6.4692 6.4975 6.7467 6.9533 7.1359 7.3025 7.6026 7.8710 8.1160 8.3431 8.5555 8.7558 8.9456 9.1262 9.2983

1800 kPa (207.15◦ C) 6.4217 6.6732 6.8844 7.0693 7.2373 7.5389 7.8080 8.0535 8.2808 8.4934 8.6938 8.8837 9.0642 9.2364

0.11042 0.12497 0.14021 0.15457 0.16847 0.19550 0.22199 0.24818 0.27420 0.30012 0.32598 0.35180 0.37761 0.40340

2598.38 2686.02 2776.83 2862.95 2947.66 3117.84 3292.10 3471.87 3657.71 3849.90 4048.45 4253.18 4463.71 4679.44

2797.13 2910.96 3029.21 3141.18 3250.90 3469.75 3691.69 3918.59 4151.27 4390.11 4635.21 4886.42 5143.40 5405.56

6.3793 6.6066 6.8226 7.0099 7.1793 7.4824 7.7523 7.9983 8.2258 8.4386 8.6390 8.8290 9.0096 9.1817

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APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 33

TABLE B.1.3 Superheated Vapor Water (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

2000 kPa (212.42◦ C) Sat. 250 300 350 400 450 500 600 700 800 900 1000 1100 1200 1300

0.09963 0.11144 0.12547 0.13857 0.15120 0.16353 0.17568 0.19960 0.22323 0.24668 0.27004 0.29333 0.31659 0.33984 0.36306

2600.26 2679.58 2772.56 2859.81 2945.21 3030.41 3116.20 3290.93 3470.99 3657.03 3849.33 4047.94 4252.71 4463.25 4678.97

2799.51 2902.46 3023.50 3136.96 3247.60 3357.48 3467.55 3690.14 3917.45 4150.40 4389.40 4634.61 4885.89 5142.92 5405.10

0.06668 0.07058 0.08114 0.09053 0.09936 0.10787 0.11619 0.13243 0.14838 0.16414 0.17980 0.19541 0.21098 0.22652 0.24206

2604.10 2644.00 2750.05 2843.66 2932.75 3020.38 3107.92 3285.03 3466.59 3653.58 3846.46 4045.40 4250.33 4460.92 4676.63

2804.14 2855.75 2993.48 3115.25 3230.82 3344.00 3456.48 3682.34 3911.72 4146.00 4385.87 4631.63 4883.26 5140.49 5402.81

h (kJ/kg)

s (kJ/kg-K)

2500 kPa (223.99◦ C) 6.3408 6.5452 6.7663 6.9562 7.1270 7.2844 7.4316 7.7023 7.9487 8.1766 8.3895 8.5900 8.7800 8.9606 9.1328

0.07998 0.08700 0.09890 0.10976 0.12010 0.13014 0.13998 0.15930 0.17832 0.19716 0.21590 0.23458 0.25322 0.27185 0.29046

3000 kPa (233.90◦ C) Sat. 250 300 350 400 450 500 600 700 800 900 1000 1100 1200 1300

u (kJ/kg)

2603.13 2662.55 2761.56 2851.84 2939.03 3025.43 3112.08 3287.99 3468.80 3655.30 3847.89 4046.67 4251.52 4462.08 4677.80

2803.07 2880.06 3008.81 3126.24 3239.28 3350.77 3462.04 3686.25 3914.59 4148.20 4387.64 4633.12 4884.57 5141.70 5403.95

6.2574 6.4084 6.6437 6.8402 7.0147 7.1745 7.3233 7.5960 7.8435 8.0720 8.2853 8.4860 8.6761 8.8569 9.0291

4000 kPa (250.40◦ C) 6.1869 6.2871 6.5389 6.7427 6.9211 7.0833 7.2337 7.5084 7.7571 7.9862 8.1999 8.4009 8.5911 8.7719 8.9442

0.04978 — 0.05884 0.06645 0.07341 0.08003 0.08643 0.09885 0.11095 0.12287 0.13469 0.14645 0.15817 0.16987 0.18156

2602.27 — 2725.33 2826.65 2919.88 3010.13 3099.49 3279.06 3462.15 3650.11 3843.59 4042.87 4247.96 4458.60 4674.29

2801.38 — 2960.68 3092.43 3213.51 3330.23 3445.21 3674.44 3905.94 4141.59 4382.34 4628.65 4880.63 5138.07 5400.52

6.0700 — 6.3614 6.5820 6.7689 6.9362 7.0900 7.3688 7.6198 7.8502 8.0647 8.2661 8.4566 8.6376 8.8099

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.1.3 Superheated Vapor Water (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

5000 kPa (263.99◦ C) Sat. 300 350 400 450 500 550 600 700 800 900 1000 1100 1200 1300

0.03944 0.04532 0.05194 0.05781 0.06330 0.06857 0.07368 0.07869 0.08849 0.09811 0.10762 0.11707 0.12648 0.13587 0.14526

2597.12 2697.94 2808.67 2906.58 2999.64 3090.92 3181.82 3273.01 3457.67 3646.62 3840.71 4040.35 4245.61 4456.30 4671.96

2794.33 2924.53 3068.39 3195.64 3316.15 3433.76 3550.23 3666.47 3900.13 4137.17 4378.82 4625.69 4878.02 5135.67 5398.24

0.02352 0.02426 0.02995 0.03432 0.03817 0.04175 0.04516 0.04845 0.05481 0.06097 0.06702 0.07301 0.07896 0.08489 0.09080

2569.79 2590.93 2747.67 2863.75 2966.66 3064.30 3159.76 3254.43 3444.00 3636.08 3832.08 4032.81 4238.60 4449.45 4665.02

2757.94 2784.98 2987.30 3138.28 3271.99 3398.27 3521.01 3642.03 3882.47 4123.84 4368.26 4616.87 4870.25 5128.54 5391.46

h (kJ/kg)

s (kJ/kg-K)

6000 kPa (275.64◦ C) 5.9733 6.2083 6.4492 6.6458 6.8185 6.9758 7.1217 7.2588 7.5122 7.7440 7.9593 8.1612 8.3519 8.5330 8.7055

0.03244 0.03616 0.04223 0.04739 0.05214 0.05665 0.06101 0.06525 0.07352 0.08160 0.08958 0.09749 0.10536 0.11321 0.12106

8000 kPa (295.06◦ C) Sat. 300 350 400 450 500 550 600 700 800 900 1000 1100 1200 1300

u (kJ/kg)

2589.69 2667.22 2789.61 2892.81 2988.90 3082.20 3174.57 3266.89 3453.15 3643.12 3837.84 4037.83 4243.26 4454.00 4669.64

2784.33 2884.19 3042.97 3177.17 3301.76 3422.12 3540.62 3658.40 3894.28 4132.74 4375.29 4622.74 4875.42 5133.28 5395.97

5.8891 6.0673 6.3334 6.5407 6.7192 6.8802 7.0287 7.1676 7.4234 7.6566 7.8727 8.0751 8.2661 8.4473 8.6199

10000 kPa (311.06◦ C) 5.7431 5.7905 6.1300 6.3633 6.5550 6.7239 6.8778 7.0205 7.2812 7.5173 7.7350 7.9384 8.1299 8.3115 8.4842

0.01803 — 0.02242 0.02641 0.02975 0.03279 0.03564 0.03837 0.04358 0.04859 0.05349 0.05832 0.06312 0.06789 0.07265

2544.41 — 2699.16 2832.38 2943.32 3045.77 3144.54 3241.68 3434.72 3628.97 3826.32 4027.81 4233.97 4444.93 4660.44

2724.67 — 2923.39 3096.46 3240.83 3373.63 3500.92 3625.34 3870.52 4114.91 4361.24 4611.04 4865.14 5123.84 5386.99

5.6140 — 5.9442 6.2119 6.4189 6.5965 6.7561 6.9028 7.1687 7.4077 7.6272 7.8315 8.0236 8.2054 8.3783

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APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 35

TABLE B.1.3 Superheated Vapor Water (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

15000 kPa (342.24◦ C) Sat. 350 400 450 500 550 600 650 700 800 900 1000 1100 1200 1300

0.01034 0.01147 0.01565 0.01845 0.02080 0.02293 0.02491 0.02680 0.02861 0.03210 0.03546 0.03875 0.04200 0.04523 0.04845

2455.43 2520.36 2740.70 2879.47 2996.52 3104.71 3208.64 3310.37 3410.94 3610.99 3811.89 4015.41 4222.55 4433.78 4649.12

2610.49 2692.41 2975.44 3156.15 3308.53 3448.61 3582.30 3712.32 3840.12 4092.43 4343.75 4596.63 4852.56 5112.27 5375.94

0.001789 0.002790 0.005304 0.006735 0.008679 0.010168 0.011446 0.012596 0.013661 0.015623 0.017448 0.019196 0.020903 0.022589 0.024266

1737.75 2067.34 2455.06 2619.30 2820.67 2970.31 3100.53 3221.04 3335.84 3555.60 3768.48 3978.79 4189.18 4401.29 4615.96

1791.43 2151.04 2614.17 2821.35 3081.03 3275.36 3443.91 3598.93 3745.67 4024.31 4291.93 4554.68 4816.28 5078.97 5343.95

h (kJ/kg)

s (kJ/kg-K)

20000 kPa (365.81◦ C) 5.3097 5.4420 5.8810 6.1403 6.3442 6.5198 6.6775 6.8223 6.9572 7.2040 7.4279 7.6347 7.8282 8.0108 8.1839

0.00583 — 0.00994 0.01270 0.01477 0.01656 0.01818 0.01969 0.02113 0.02385 0.02645 0.02897 0.03145 0.03391 0.03636

30000 kPa 375 400 425 450 500 550 600 650 700 800 900 1000 1100 1200 1300

u (kJ/kg)

2293.05 — 2619.22 2806.16 2942.82 3062.34 3174.00 3281.46 3386.46 3592.73 3797.44 4003.12 4211.30 4422.81 4637.95

2409.74 — 2818.07 3060.06 3238.18 3393.45 3537.57 3675.32 3809.09 4069.80 4326.37 4582.45 4840.24 5100.96 5365.10

4.9269 — 5.5539 5.9016 6.1400 6.3347 6.5048 6.6582 6.7993 7.0544 7.2830 7.4925 7.6874 7.8706 8.0441

40000 kPa 3.9303 4.4728 5.1503 5.4423 5.7904 6.0342 6.2330 6.4057 6.5606 6.8332 7.0717 7.2867 7.4845 7.6691 7.8432

0.001641 0.001908 0.002532 0.003693 0.005623 0.006984 0.008094 0.009064 0.009942 0.011523 0.012963 0.014324 0.015643 0.016940 0.018229

1677.09 1854.52 2096.83 2365.07 2678.36 2869.69 3022.61 3158.04 3283.63 3517.89 3739.42 3954.64 4167.38 4380.11 4594.28

1742.71 1930.83 2198.11 2512.79 2903.26 3149.05 3346.38 3520.58 3681.29 3978.80 4257.93 4527.59 4793.08 5057.72 5323.45

3.8289 4.1134 4.5028 4.9459 5.4699 5.7784 6.0113 6.2054 6.3750 6.6662 6.9150 7.1356 7.3364 7.5224 7.6969

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.1.4 Compressed Liquid Water

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

500 kPa (151.86◦ C) Sat. 0.01 20 40 60 80 100 120 140 160 180 200

0.001093 0.000999 0.001002 0.001008 0.001017 0.001029 0.001043 0.001060 0.001080 — — —

639.66 0.01 83.91 167.47 251.00 334.73 418.80 503.37 588.66 — — —

640.21 0.51 84.41 167.98 251.51 335.24 419.32 503.90 589.20 — — —

0.001286 0.000998 0.001000 0.001006 0.001015 0.001027 0.001041 0.001058 0.001077 0.001099 0.001124 0.001153 0.001187 0.001226 0.001275

1147.78 0.03 83.64 166.93 250.21 333.69 417.50 501.79 586.74 672.61 759.62 848.08 938.43 1031.34 1127.92

1154.21 5.02 88.64 171.95 255.28 338.83 422.71 507.07 592.13 678.10 765.24 853.85 944.36 1037.47 1134.30

h (kJ/kg)

s (kJ/kg-K)

2000 kPa (212.42◦ C) 1.8606 0.0000 0.2965 0.5722 0.8308 1.0749 1.3065 1.5273 1.7389 — — —

0.001177 0.000999 0.001001 0.001007 0.001016 0.001028 0.001043 0.001059 0.001079 0.001101 0.001127 0.001156

5000 kPa (263.99◦ C) Sat 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300

u (kJ/kg)

906.42 0.03 83.82 167.29 250.73 334.38 418.36 502.84 588.02 674.14 761.46 850.30

908.77 2.03 85.82 169.30 252.77 336.44 420.45 504.96 590.18 676.34 763.71 852.61

2.4473 0.0001 .2962 .5716 .8300 1.0739 1.3053 1.5259 1.7373 1.9410 2.1382 2.3301

10000 kPa (311.06◦ C) 2.9201 0.0001 0.2955 0.5705 0.8284 1.0719 1.3030 1.5232 1.7342 1.9374 2.1341 2.3254 2.5128 2.6978 2.8829

0.001452 0.000995 0.000997 0.001003 0.001013 0.001025 0.001039 0.001055 0.001074 0.001195 0.001120 0.001148 0.001181 0.001219 0.001265 0.001322 0.001397

1393.00 0.10 83.35 166.33 249.34 332.56 416.09 500.07 584.67 670.11 756.63 844.49 934.07 1025.94 1121.03 1220.90 1328.34

1407.53 10.05 93.32 176.36 259.47 342.81 426.48 510.61 595.40 681.07 767.83 855.97 945.88 1038.13 1133.68 1234.11 1342.31

3.3595 0.0003 0.2945 0.5685 0.8258 1.0687 1.2992 1.5188 1.7291 1.9316 2.1274 2.3178 2.5038 2.6872 2.8698 3.0547 3.2468

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APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 37

TABLE B.1.4 Compressed Liquid Water (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

15000 kPa (342.24◦ C) Sat. 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360

0.001658 0.000993 0.000995 0.001001 0.001011 0.001022 0.001036 0.001052 0.001071 0.001092 0.001116 0.001143 0.001175 0.001211 0.001255 0.001308 0.001377 0.001472 0.001631

1585.58 0.15 83.05 165.73 248.49 331.46 414.72 498.39 582.64 667.69 753.74 841.04 929.89 1020.82 1114.59 1212.47 1316.58 1431.05 1567.42

1610.45 15.04 97.97 180.75 263.65 346.79 430.26 514.17 598.70 684.07 770.48 858.18 947.52 1038.99 1133.41 1232.09 1337.23 1453.13 1591.88

0.000986 0.000989 0.000995 0.001004 0.001016 0.001029 0.001044 0.001062 0.001082 0.001105 0.001130 0.001159 0.001192 0.001230 0.001275 0.001330 0.001400 0.001492 0.001627 0.001869

0.25 82.16 164.01 246.03 328.28 410.76 493.58 576.86 660.81 745.57 831.34 918.32 1006.84 1097.38 1190.69 1287.89 1390.64 1501.71 1626.57 1781.35

29.82 111.82 193.87 276.16 358.75 441.63 524.91 608.73 693.27 778.71 865.24 953.09 1042.60 1134.29 1228.96 1327.80 1432.63 1546.47 1675.36 1837.43

h (kJ/kg)

s (kJ/kg-K)

20000 kPa (365.81◦ C) 3.6847 0.0004 0.2934 0.5665 0.8231 1.0655 1.2954 1.5144 1.7241 1.9259 2.1209 2.3103 2.4952 2.6770 2.8575 3.0392 3.2259 3.4246 3.6545

0.002035 0.000990 0.000993 0.000999 0.001008 0.001020 0.001034 0.001050 0.001068 0.001089 0.001112 0.001139 0.001169 0.001205 0.001246 0.001297 0.001360 0.001444 0.001568 0.001823

30000 kPa 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380

u (kJ/kg)

1785.47 0.20 82.75 165.15 247.66 330.38 413.37 496.75 580.67 665.34 750.94 837.70 925.89 1015.94 1108.53 1204.69 1306.10 1415.66 1539.64 1702.78

1826.18 20.00 102.61 185.14 267.82 350.78 434.04 517.74 602.03 687.11 773.18 860.47 949.27 1040.04 1133.45 1230.62 1333.29 1444.53 1571.01 1739.23

4.0137 0.0004 0.2922 0.5646 0.8205 1.0623 1.2917 1.5101 1.7192 1.9203 2.1146 2.3031 2.4869 2.6673 2.8459 3.0248 3.2071 3.3978 3.6074 3.8770

50000 kPa 0.0001 0.2898 0.5606 0.8153 1.0561 1.2844 1.5017 1.7097 1.9095 2.1024 2.2892 2.4710 2.6489 2.8242 2.9985 3.1740 3.3538 3.5425 3.7492 4.0010

0.000977 0.000980 0.000987 0.000996 0.001007 0.001020 0.001035 0.001052 0.001070 0.001091 0.001115 0.001141 0.001170 0.001203 0.001242 0.001286 0.001339 0.001403 0.001484 0.001588

0.20 80.98 161.84 242.96 324.32 405.86 487.63 569.76 652.39 735.68 819.73 904.67 990.69 1078.06 1167.19 1258.66 1353.23 1451.91 1555.97 1667.13

49.03 130.00 211.20 292.77 374.68 456.87 539.37 622.33 705.91 790.24 875.46 961.71 1049.20 1138.23 1229.26 1322.95 1420.17 1522.07 1630.16 1746.54

−0.0014 0.2847 0.5526 0.8051 1.0439 1.2703 1.4857 1.6915 1.8890 2.0793 2.2634 2.4419 2.6158 2.7860 2.9536 3.1200 3.2867 3.4556 3.6290 3.8100

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.1.5 Saturated Solid-Saturated Vapor, Water

Specific Volume, m3 /kg

Internal Energy, kJ/kg

Temp. (◦ C)

Press. (kPa)

Sat. Solid vi

Evap. vig

Sat. Vapor vg

Sat. Solid ui

Evap. uig

Sat. Vapor ug

0.01 0 −2 −4 −6 −8 −10 −12 −14 −16 −18 −20 −22 −24 −26 −28 −30 −32 −34 −36 −38 −40

0.6113 0.6108 0.5177 0.4376 0.3689 0.3102 0.2601 0.2176 0.1815 0.1510 0.1252 0.10355 0.08535 0.07012 0.05741 0.04684 0.03810 0.03090 0.02499 0.02016 0.01618 0.01286

0.0010908 0.0010908 0.0010905 0.0010901 0.0010898 0.0010894 0.0010891 0.0010888 0.0010884 0.0010881 0.0010878 0.0010874 0.0010871 0.0010868 0.0010864 0.0010861 0.0010858 0.0010854 0.0010851 0.0010848 0.0010844 0.0010841

206.152 206.314 241.662 283.798 334.138 394.413 466.756 553.802 658.824 785.906 940.182 1128.112 1357.863 1639.752 1986.775 2415.200 2945.227 3601.822 4416.252 5430.115 6707.021 8366.395

206.153 206.315 241.663 283.799 334.139 394.414 466.757 553.803 658.824 785.907 940.183 1128.113 1357.864 1639.753 1986.776 2415.201 2945.228 3601.823 4416.253 5430.116 6707.022 8366.396

−333.40 −333.42 −337.61 −341.78 −345.91 −350.02 −354.09 −358.14 −362.16 −366.14 −370.10 −374.03 −377.93 −381.80 −385.64 −389.45 −393.23 −396.98 −400.71 −404.40 −408.06 −411.70

2708.7 2708.7 2710.2 2711.5 2712.9 2714.2 2715.5 2716.8 2718.0 2719.2 2720.4 2721.6 2722.7 2723.7 2724.8 2725.8 2726.8 2727.8 2728.7 2729.6 2730.5 2731.3

2375.3 2375.3 2372.5 2369.8 2367.0 2364.2 2361.4 2358.7 2355.9 2353.1 2350.3 2347.5 2344.7 2342.0 2339.2 2336.4 2333.6 2330.8 2328.0 2325.2 2322.4 2319.6

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APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 39

TABLE B.1.5 Saturated Solid-Saturated Vapor, Water (continued )

Enthalpy, kJ/kg

Entropy, kJ/kg-K

Temp. (◦ C)

Press. (kPa)

Sat. Solid hi

Evap. hig

Sat. Vapor hg

Sat. Solid si

Evap. sig

Sat. Vapor sg

0.01 0 −2 −4 −6 −8 −10 −12 −14 −16 −18 −20 −22 −24 −26 −28 −30 −32 −34 −36 −38 −40

0.6113 0.6108 0.5177 0.4376 0.3689 0.3102 0.2601 0.2176 0.1815 0.1510 0.1252 0.10355 0.08535 0.07012 0.05741 0.04684 0.03810 0.03090 0.02499 0.02016 0.01618 0.01286

−333.40 −333.42 −337.61 −341.78 −345.91 −350.02 −354.09 −358.14 −362.16 −366.14 −370.10 −374.03 −377.93 −381.80 −385.64 −389.45 −393.23 −396.98 −400.71 −404.40 −408.06 −411.70

2834.7 2834.8 2835.3 2835.7 2836.2 2836.6 2837.0 2837.3 2837.6 2837.9 2838.2 2838.4 2838.6 2838.7 2838.9 2839.0 2839.0 2839.1 2839.1 2839.1 2839.0 2838.9

2501.3 2501.3 2497.6 2494.0 2490.3 2486.6 2482.9 2479.2 2475.5 2471.8 2468.1 2464.3 2460.6 2456.9 2453.2 2449.5 2445.8 2442.1 2438.4 2434.7 2431.0 2427.2

−1.2210 −1.2211 −1.2369 −1.2526 −1.2683 −1.2839 −1.2995 −1.3150 −1.3306 −1.3461 −1.3617 −1.3772 −1.3928 −1.4083 −1.4239 −1.4394 −1.4550 −1.4705 −1.4860 −1.5014 −1.5168 −1.5321

10.3772 10.3776 10.4562 10.5358 10.6165 10.6982 10.7809 10.8648 10.9498 11.0359 11.1233 11.2120 11.3020 11.3935 11.4864 11.5808 11.6765 11.7733 11.8713 11.9704 12.0714 12.1768

9.1562 9.1565 9.2193 9.2832 9.3482 9.4143 9.4815 9.5498 9.6192 9.6898 9.7616 9.8348 9.9093 9.9852 10.0625 10.1413 10.2215 10.3028 10.3853 10.4690 10.5546 10.6447

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.2 Thermodynamic Properties of Ammonia TABLE B.2.1 Saturated Ammonia

Specific Volume, m3 /kg

Internal Energy, kJ/kg

Temp. (◦ C)

Press. (kPa)

Sat. Liquid vf

Evap. vf g

Sat. Vapor vg

Sat. Liquid uf

Evap. uf g

Sat. Vapor ug

−50 −45 −40 −35 −30 −25 −20 −15 −10 −5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 120 125 130 132.3

40.9 54.5 71.7 93.2 119.5 151.6 190.2 236.3 290.9 354.9 429.6 515.9 615.2 728.6 857.5 1003.2 1167.0 1350.4 1554.9 1782.0 2033.1 2310.1 2614.4 2947.8 3312.0 3709.0 4140.5 4608.6 5115.3 5662.9 6253.7 6890.4 7575.7 8313.3 9107.2 9963.5 10891.6 11333.2

0.001424 0.001437 0.001450 0.001463 0.001476 0.001490 0.001504 0.001519 0.001534 0.001550 0.001566 0.001583 0.001600 0.001619 0.001638 0.001658 0.001680 0.001702 0.001725 0.001750 0.001777 0.001804 0.001834 0.001866 0.001900 0.001937 0.001978 0.002022 0.002071 0.002126 0.002188 0.002261 0.002347 0.002452 0.002589 0.002783 0.003122 0.004255

2.62557 2.00489 1.55111 1.21466 0.96192 0.76970 0.62184 0.50686 0.41655 0.34493 0.28763 0.24140 0.20381 0.17300 0.14758 0.12647 0.10881 0.09397 0.08141 0.07073 0.06159 0.05375 0.04697 0.04109 0.03597 0.03148 0.02753 0.02404 0.02093 0.01815 0.01565 0.01337 0.01128 0.00933 0.00744 0.00554 0.00337 0

2.62700 2.00632 1.55256 1.21613 0.96339 0.77119 0.62334 0.50838 0.41808 0.34648 0.28920 0.24299 0.20541 0.17462 0.14922 0.12813 0.11049 0.09567 0.08313 0.07248 0.06337 0.05555 0.04880 0.04296 0.03787 0.03341 0.02951 0.02606 0.02300 0.02028 0.01784 0.01564 0.01363 0.01178 0.01003 0.00833 0.00649 0.00426

−43.82 −22.01 −0.10 21.93 44.08 66.36 88.76 111.30 133.96 156.76 179.69 202.77 225.99 249.36 272.89 296.59 320.46 344.50 368.74 393.19 417.87 442.79 467.99 493.51 519.39 545.70 572.50 599.90 627.99 656.95 686.96 718.30 751.37 786.82 825.77 870.69 929.29 1037.62

1309.1 1293.5 1277.6 1261.3 1244.8 1227.9 1210.7 1193.2 1175.2 1157.0 1138.3 1119.2 1099.7 1079.7 1059.3 1038.4 1016.9 994.9 972.2 948.9 924.8 899.9 874.2 847.4 819.5 790.4 759.9 727.8 693.7 657.4 618.4 575.9 529.1 476.2 414.5 337.7 226.9 0

1265.2 1271.4 1277.4 1283.3 1288.9 1294.3 1299.5 1304.5 1309.2 1313.7 1318.0 1322.0 1325.7 1329.1 1332.2 1335.0 1337.4 1339.4 1341.0 1342.1 1342.7 1342.7 1342.1 1340.9 1338.9 1336.1 1332.4 1327.7 1321.7 1314.4 1305.3 1294.2 1280.5 1263.1 1240.3 1208.4 1156.2 1037.6

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April 19, 2017

APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 41

TABLE B.2.1 Saturated Ammonia (continued )

Enthalpy, kJ/kg

Entropy, kJ/kg-K

Temp. (◦ C)

Press. (kPa)

Sat. Liquid hf

Evap. hf g

Sat. Vapor hg

Sat. Liquid sf

Evap. sf g

Sat. Vapor sg

−50 −45 −40 −35 −30 −25 −20 −15 −10 −5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 120 125 130 132.3

40.9 54.5 71.7 93.2 119.5 151.6 190.2 236.3 290.9 354.9 429.6 515.9 615.2 728.6 857.5 1003.2 1167.0 1350.4 1554.9 1782.0 2033.1 2310.1 2614.4 2947.8 3312.0 3709.0 4140.5 4608.6 5115.3 5662.9 6253.7 6890.4 7575.7 8313.3 9107.2 9963.5 10892 11333

−43.76 −21.94 0 22.06 44.26 66.58 89.05 111.66 134.41 157.31 180.36 203.58 226.97 250.54 274.30 298.25 322.42 346.80 371.43 396.31 421.48 446.96 472.79 499.01 525.69 552.88 580.69 609.21 638.59 668.99 700.64 733.87 769.15 807.21 849.36 898.42 963.29 1085.85

1416.3 1402.8 1388.8 1374.5 1359.8 1344.6 1329.0 1312.9 1296.4 1279.4 1261.8 1243.7 1225.1 1205.8 1185.9 1165.2 1143.9 1121.8 1098.8 1074.9 1050.0 1024.1 997.0 968.5 938.7 907.2 873.9 838.6 800.8 760.2 716.2 668.1 614.6 553.8 482.3 393.0 263.7 0

1372.6 1380.8 1388.8 1396.5 1404.0 1411.2 1418.0 1424.6 1430.8 1436.7 1442.2 1447.3 1452.0 1456.3 1460.2 1463.5 1466.3 1468.6 1470.2 1471.2 1471.5 1471.0 1469.7 1467.5 1464.4 1460.1 1454.6 1447.8 1439.4 1429.2 1416.9 1402.0 1383.7 1361.0 1331.7 1291.4 1227.0 1085.9

−0.1916 −0.0950 0 0.0935 0.1856 0.2763 0.3657 0.4538 0.5408 0.6266 0.7114 0.7951 0.8779 0.9598 1.0408 1.1210 1.2005 1.2792 1.3574 1.4350 1.5121 1.5888 1.6652 1.7415 1.8178 1.8943 1.9712 2.0488 2.1273 2.2073 2.2893 2.3740 2.4625 2.5566 2.6593 2.7775 2.9326 3.2316

6.3470 6.1484 5.9567 5.7715 5.5922 5.4185 5.2498 5.0859 4.9265 4.7711 4.6195 4.4715 4.3266 4.1846 4.0452 3.9083 3.7734 3.6403 3.5088 3.3786 3.2493 3.1208 2.9925 2.8642 2.7354 2.6058 2.4746 2.3413 2.2051 2.0650 1.9195 1.7667 1.6040 1.4267 1.2268 0.9870 0.6540 0

6.1554 6.0534 5.9567 5.8650 5.7778 5.6947 5.6155 5.5397 5.4673 5.3977 5.3309 5.2666 5.2045 5.1444 5.0860 5.0293 4.9738 4.9196 4.8662 4.8136 4.7614 4.7095 4.6577 4.6057 4.5533 4.5001 4.4458 4.3901 4.3325 4.2723 4.2088 4.1407 4.0665 3.9833 3.8861 3.7645 3.5866 3.2316

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⋮ ⋮ ⋮

APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.2.2 Superheated Ammonia

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

50 kPa (−46.53◦ C) Sat. −30 −20 −10 0 10 20 30 40 50 60 70 80 100 120 140 160 180 200

2.1752 2.3448 2.4463 2.5471 2.6474 2.7472 2.8466 2.9458 3.0447 3.1435 3.2421 3.3406 3.4390 3.6355 3.8318 4.0280 4.2240 4.4199 4.6157

1269.6 1296.2 1312.3 1328.4 1344.5 1360.7 1377.0 1393.3 1409.8 1426.3 1443.0 1459.9 1476.9 1511.4 1546.6 1582.5 1619.2 1656.7 1694.9

1378.3 1413.4 1434.6 1455.7 1476.9 1498.1 1519.3 1540.6 1562.0 1583.5 1605.1 1626.9 1648.8 1693.2 1738.2 1783.9 1830.4 1877.7 1925.7

0.7787 0.7977 0.8336 0.8689 0.9037 0.9382 0.9723 1.0062 1.0398 1.0734 1.1068 1.1401 1.2065 1.2726 1.3386 1.4044 1.4701 1.5357 1.6013

1294.1 1303.3 1320.7 1337.9 1355.0 1372.0 1389.0 1406.0 1423.0 1440.0 1457.2 1474.4 1509.3 1544.8 1580.9 1617.8 1655.4 1693.7 1732.9

1410.9 1422.9 1445.7 1468.3 1490.6 1512.8 1534.9 1556.9 1578.9 1601.0 1623.2 1645.4 1690.2 1735.6 1781.7 1828.4 1875.9 1924.1 1973.1

h (kJ/kg)

s (kJ/kg-K)

100 kPa (−33.60◦ C) 6.0839 6.2333 6.3187 6.4006 6.4795 6.5556 6.6293 6.7008 6.7703 6.8379 6.9038 6.9682 7.0312 7.1533 7.2708 7.3842 7.4941 7.6008 7.7045

1.1381 1.1573 1.2101 1.2621 1.3136 1.3647 1.4153 1.4657 1.5158 1.5658 1.6156 1.6653 1.7148 1.8137 1.9124 2.0109 2.1093 2.2075 2.3057

150 kPa (−25.22◦ C) Sat. −20 −10 0 10 20 30 40 50 60 70 80 100 120 140 160 180 200 220

u (kJ/kg)

1284.9 1291.0 1307.8 1324.6 1341.3 1357.9 1374.5 1391.2 1407.9 1424.7 1441.5 1458.5 1475.6 1510.3 1545.7 1581.7 1618.5 1656.0 1694.3

1398.7 1406.7 1428.8 1450.8 1472.6 1494.4 1516.1 1537.7 1559.5 1581.2 1603.1 1625.1 1647.1 1691.7 1736.9 1782.8 1829.4 1876.8 1924.9

5.8401 5.8734 5.9626 6.0477 6.1291 6.2073 6.2826 6.3553 6.4258 6.4943 6.5609 6.6258 6.6892 6.8120 6.9300 7.0439 7.1540 7.2609 7.3648

200 kPa (−18.86◦ C) 5.6983 5.7465 5.8349 5.9189 5.9992 6.0761 6.1502 6.2217 6.2910 6.3583 6.4238 6.4877 6.6112 6.7297 6.8439 6.9544 7.0615 7.1656 7.2670

0.5946 — 0.6193 0.6465 0.6732 0.6995 0.7255 0.7513 0.7769 0.8023 0.8275 0.8527 0.9028 0.9527 1.0024 1.0519 1.1014 1.1507 1.2000

1300.6 — 1316.7 1334.5 1352.1 1369.5 1386.8 1404.0 1421.3 1438.5 1455.8 1473.1 1508.2 1543.8 1580.1 1617.0 1654.7 1693.2 1732.4

1419.6 — 1440.6 1463.8 1486.8 1509.4 1531.9 1554.3 1576.6 1598.9 1621.3 1643.7 1688.8 1734.4 1780.6 1827.4 1875.0 1923.3 1972.4

5.5979 — 5.6791 5.7659 5.8484 5.9270 6.0025 6.0751 6.1453 6.2133 6.2794 6.3437 6.4679 6.5869 6.7015 6.8123 6.9196 7.0239 7.1255

16:3

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April 19, 2017

APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 43

TABLE B.2.2 Superheated Ammonia (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

300 kPa (−9.24◦ C) Sat. 0 10 20 30 40 50 60 70 80 100 120 140 160 180 200 220 240 260

0.40607 0.42382 0.44251 0.46077 0.47870 0.49636 0.51382 0.53111 0.54827 0.56532 0.59916 0.63276 0.66618 0.69946 0.73263 0.76572 0.79872 0.83167 0.86455

1309.9 1327.5 1346.1 1364.4 1382.3 1400.1 1417.8 1435.4 1453.0 1470.6 1506.1 1542.0 1578.5 1615.6 1653.4 1692.0 1731.3 1771.4 1812.2

1431.7 1454.7 1478.9 1502.6 1526.0 1549.0 1571.9 1594.7 1617.5 1640.2 1685.8 1731.8 1778.3 1825.4 1873.2 1921.7 1970.9 2020.9 2071.6

0.25035 0.25757 0.26949 0.28103 0.29227 0.30328 0.31410 0.32478 0.33535 0.35621 0.37681 0.39722 0.41748 0.43764 0.45771 0.47770 0.49763 0.51749

1321.3 1333.5 1353.6 1373.0 1392.0 1410.6 1429.0 1447.3 1465.4 1501.7 1538.2 1575.2 1612.7 1650.8 1689.6 1729.2 1769.5 1810.6

1446.5 1462.3 1488.3 1513.5 1538.1 1562.2 1586.1 1609.6 1633.1 1679.8 1726.6 1773.8 1821.4 1869.6 1918.5 1968.1 2018.3 2069.3

h (kJ/kg)

s (kJ/kg-K)

400 kPa (−1.89◦ C) 5.4565 5.5420 5.6290 5.7113 5.7896 5.8645 5.9365 6.0060 6.0732 6.1385 6.2642 6.3842 6.4996 6.6109 6.7188 6.8235 6.9254 7.0247 7.1217

0.30942 0.31227 0.32701 0.34129 0.35520 0.36884 0.38226 0.39550 0.40860 0.42160 0.44732 0.47279 0.49808 0.52323 0.54827 0.57321 0.59809 0.62289 0.64764

500 kPa (4.13◦ C) Sat. 10 20 30 40 50 60 70 80 100 120 140 160 180 200 220 240 260

u (kJ/kg)

1316.4 1320.2 1339.9 1359.1 1377.7 1396.1 1414.2 1432.2 1450.1 1468.0 1503.9 1540.1 1576.8 1614.1 1652.1 1690.8 1730.3 1770.5 1811.4

1440.2 1445.1 1470.7 1495.6 1519.8 1543.6 1567.1 1590.4 1613.6 1636.7 1682.8 1729.2 1776.0 1823.4 1871.4 1920.1 1969.5 2019.6 2070.5

5.3559 5.3741 5.4663 5.5525 5.6338 5.7111 5.7850 5.8560 5.9244 5.9907 6.1179 6.2390 6.3552 6.4671 6.5755 6.6806 6.7828 6.8825 6.9797

600 kPa (9.28◦ C) 5.2776 5.3340 5.4244 5.5090 5.5889 5.6647 5.7373 5.8070 5.8744 6.0031 6.1253 6.2422 6.3548 6.4636 6.5691 6.6717 6.7717 6.8692

0.21038 0.21115 0.22154 0.23152 0.24118 0.25059 0.25981 0.26888 0.27783 0.29545 0.31281 0.32997 0.34699 0.36389 0.38071 0.39745 0.41412 0.43073

1325.2 1326.7 1347.9 1368.2 1387.8 1406.9 1425.7 1444.3 1462.8 1499.5 1536.3 1573.5 1611.2 1649.5 1688.5 1728.2 1768.6 1809.8

1451.4 1453.4 1480.8 1507.1 1532.5 1557.3 1581.6 1605.7 1629.5 1676.8 1724.0 1771.5 1819.4 1867.8 1916.9 1966.6 2017.0 2068.2

5.2133 5.2205 5.3156 5.4037 5.4862 5.5641 5.6383 5.7094 5.7778 5.9081 6.0314 6.1491 6.2623 6.3717 6.4776 6.5806 6.6808 6.7786

16:3

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⋮ ⋮ ⋮

APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.2.2 Superheated Ammonia (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

800 kPa (17.85◦ C) Sat. 20 30 40 50 60 70 80 100 120 140 160 180 200 220 240 260 280 300

0.15958 0.16138 0.16947 0.17720 0.18465 0.19189 0.19896 0.20590 0.21949 0.23280 0.24590 0.25886 0.27170 0.28445 0.29712 0.30973 0.32228 0.33477 0.34722

1330.9 1335.8 1358.0 1379.0 1399.3 1419.0 1438.3 1457.4 1495.0 1532.5 1570.1 1608.2 1646.8 1686.1 1726.0 1766.7 1808.1 1850.2 1893.1

1458.6 1464.9 1493.5 1520.8 1547.0 1572.5 1597.5 1622.1 1670.6 1718.7 1766.9 1815.3 1864.2 1913.6 1963.7 2014.5 2065.9 2118.0 2170.9

0.10751 0.11287 0.11846 0.12378 0.12890 0.13387 0.14347 0.15275 0.16181 0.17071 0.17950 0.18819 0.19680 0.20534 0.21382 0.22225 0.23063 0.23897

1337.8 1360.0 1383.0 1404.8 1425.8 1446.2 1485.8 1524.7 1563.3 1602.2 1641.5 1681.3 1721.8 1762.9 1804.7 1847.3 1890.6 1934.6

1466.8 1495.4 1525.1 1553.3 1580.5 1606.8 1658.0 1708.0 1757.5 1807.1 1856.9 1907.1 1957.9 2009.3 2061.3 2114.0 2167.3 2221.3

h (kJ/kg)

s (kJ/kg-K)

1000 kPa (24.90◦ C) 5.1110 5.1328 5.2287 5.3171 5.3996 5.4774 5.5513 5.6219 5.7555 5.8811 6.0006 6.1150 6.2254 6.3322 6.4358 6.5367 6.6350 6.7310 6.8248

0.12852 — 0.13206 0.13868 0.14499 0.15106 0.15695 0.16270 0.17389 0.18477 0.19545 0.20597 0.21638 0.22669 0.23693 0.24710 0.25720 0.26726 0.27726

1200 kPa (30.94◦ C) Sat. 40 50 60 70 80 100 120 140 160 180 200 220 240 260 280 300 320

u (kJ/kg)

1334.9 — 1347.1 1369.8 1391.3 1412.1 1432.2 1451.9 1490.5 1528.6 1566.8 1605.2 1644.2 1683.7 1723.9 1764.8 1806.4 1848.8 1891.8

1463.4 — 1479.1 1508.5 1536.3 1563.1 1589.1 1614.6 1664.3 1713.4 1762.2 1811.2 1860.5 1910.4 1960.8 2011.9 2063.6 2116.0 2169.1

5.0304 — 5.0826 5.1778 5.2654 5.3471 5.4240 5.4971 5.6342 5.7622 5.8834 5.9992 6.1105 6.2182 6.3226 6.4241 6.5229 6.6194 6.7137

1400 kPa (36.26◦ C) 4.9635 5.0564 5.1497 5.2357 5.3159 5.3916 5.5325 5.6631 5.7860 5.9031 6.0156 6.1241 6.2292 6.3313 6.4308 6.5278 6.6225 6.7151

0.09231 0.09432 0.09942 0.10423 0.10882 0.11324 0.12172 0.12986 0.13777 0.14552 0.15315 0.16068 0.16813 0.17551 0.18283 0.19010 0.19732 0.20450

1339.8 1349.5 1374.2 1397.2 1419.2 1440.3 1481.0 1520.7 1559.9 1599.2 1638.8 1678.9 1719.6 1761.0 1803.0 1845.8 1889.3 1933.5

1469.0 1481.6 1513.4 1543.1 1571.5 1598.8 1651.4 1702.5 1752.8 1802.9 1853.2 1903.8 1955.0 2006.7 2059.0 2111.9 2165.5 2219.8

4.9060 4.9463 5.0462 5.1370 5.2209 5.2994 5.4443 5.5775 5.7023 5.8208 5.9343 6.0437 6.1495 6.2523 6.3523 6.4498 6.5450 6.6380

16:3

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April 19, 2017

APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 45

TABLE B.2.2 Superheated Ammonia (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

1600 kPa (41.03◦ C) Sat. 50 60 70 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360

0.08079 0.08506 0.08951 0.09372 0.09774 0.10539 0.11268 0.11974 0.12662 0.13339 0.14005 0.14663 0.15314 0.15959 0.16599 0.17234 0.17865 0.18492 0.19115

1341.2 1364.9 1389.3 1412.3 1434.3 1476.2 1516.6 1556.4 1596.1 1636.1 1676.5 1717.4 1759.0 1801.3 1844.3 1888.0 1932.4 1977.5 2023.3

1470.5 1501.0 1532.5 1562.3 1590.6 1644.8 1696.9 1748.0 1798.7 1849.5 1900.5 1952.0 2004.1 2056.7 2109.9 2163.7 2218.2 2273.4 2329.1

0.02365 0.02636 0.03024 0.03350 0.03643 0.03916 0.04174 0.04422 0.04662 0.04895 0.05123 0.05346 0.05565 0.05779 0.05990 0.06198 0.06403 0.06606 0.06806

1323.2 1369.7 1435.1 1489.8 1539.5 1586.9 1633.1 1678.9 1724.8 1770.9 1817.4 1864.5 1912.1 1960.3 2009.1 2058.5 2108.4 2159.0 2210.1

1441.4 1501.5 1586.3 1657.3 1721.7 1782.7 1841.8 1900.0 1957.9 2015.6 2073.6 2131.8 2190.3 2249.2 2308.6 2368.4 2428.6 2489.3 2550.4

h (kJ/kg)

s (kJ/kg-K)

2000 kPa (49.37◦ C) 4.8553 4.9510 5.0472 5.1351 5.2167 5.3659 5.5018 5.6286 5.7485 5.8631 5.9734 6.0800 6.1834 6.2839 6.3819 6.4775 6.5710 6.6624 6.7519

0.06444 0.06471 0.06875 0.07246 0.07595 0.08248 0.08861 0.09447 0.10016 0.10571 0.11116 0.11652 0.12182 0.12705 0.13224 0.13737 0.14246 0.14751 0.15253

5000 kPa (88.90◦ C) Sat. 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400 420 440

u (kJ/kg)

1342.6 1344.5 1372.3 1397.8 1421.6 1466.1 1508.3 1549.3 1589.9 1630.6 1671.6 1713.1 1755.2 1797.9 1841.3 1885.4 1930.2 1975.6 2021.8

1471.5 1473.9 1509.8 1542.7 1573.5 1631.1 1685.5 1738.2 1790.2 1842.0 1893.9 1946.1 1998.8 2052.0 2105.8 2160.1 2215.1 2270.7 2326.8

4.7680 4.7754 4.8848 4.9821 5.0707 5.2294 5.3714 5.5022 5.6251 5.7420 5.8540 5.9621 6.0668 6.1685 6.2675 6.3641 6.4583 6.5505 6.6406

10000 kPa (125.20◦ C) 4.3454 4.5091 4.7306 4.9068 5.0591 5.1968 5.3245 5.4450 5.5600 5.6704 5.7771 5.8805 5.9809 6.0786 6.1738 6.2668 6.3576 6.4464 6.5334

0.00826 — — 0.01195 0.01461 0.01666 0.01842 0.02001 0.02150 0.02290 0.02424 0.02552 0.02676 0.02796 0.02913 0.03026 0.03137 0.03245 0.03351

1206.8 — — 1341.8 1432.2 1500.6 1560.3 1615.8 1669.2 1721.6 1773.6 1825.5 1877.6 1930.0 1982.8 2036.1 2089.8 2143.9 2198.5

1289.4 — — 1461.3 1578.3 1667.2 1744.5 1816.0 1884.2 1950.6 2015.9 2080.7 2145.2 2209.6 2274.1 2338.7 2403.5 2468.5 2533.7

3.7587 — — 4.1839 4.4610 4.6617 4.8287 4.9767 5.1123 5.2392 5.3596 5.4746 5.5852 5.6921 5.7955 5.8960 5.9937 6.0888 6.1815

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April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.3 Thermodynamic Properties of Carbon Dioxide TABLE B.3.1 Saturated Carbon Dioxide

Specific Volume, m3 /kg

Internal Energy, kJ/kg

Temp. (◦ C)

Press. (kPa)

Sat. Liquid vf

Evap. vf g

Sat. Vapor vg

Sat. Liquid uf

Evap. uf g

Sat. Vapor ug

−50.0 −48 −46 −44 −42 −40 −38 −36 −34 −32 −30 −28 −26 −24 −22 −20 −18 −16 −14 −12 −10 −8 −6 −4 −2 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 31.0

682.3 739.5 800.2 864.4 932.5 1004.5 1080.5 1160.7 1245.2 1334.2 1427.8 1526.1 1629.3 1737.5 1850.9 1969.6 2093.8 2223.7 2359.3 2501.0 2648.7 2802.7 2963.2 3130.3 3304.2 3485.1 3673.3 3868.8 4072.0 4283.1 4502.2 4729.7 4965.8 5210.8 5465.1 5729.1 6003.1 6287.7 6583.7 6891.8 7213.7 7377.3

0.000866 0.000872 0.000878 0.000883 0.000889 0.000896 0.000902 0.000909 0.000915 0.000922 0.000930 0.000937 0.000945 0.000953 0.000961 0.000969 0.000978 0.000987 0.000997 0.001007 0.001017 0.001028 0.001040 0.001052 0.001065 0.001078 0.001093 0.001108 0.001124 0.001142 0.001161 0.001182 0.001205 0.001231 0.001260 0.001293 0.001332 0.001379 0.001440 0.001526 0.001685 0.002139

0.05492 0.05075 0.04694 0.04347 0.04029 0.03739 0.03472 0.03227 0.03002 0.02794 0.02603 0.02425 0.02261 0.02110 0.01968 0.01837 0.01715 0.01601 0.01495 0.01396 0.01303 0.01216 0.01134 0.01057 0.00985 0.00916 0.00852 0.00790 0.00732 0.00677 0.00624 0.00573 0.00524 0.00477 0.00431 0.00386 0.00341 0.00295 0.00247 0.00193 0.00121 0.0

0.05579 0.05162 0.04782 0.04435 0.04118 0.03828 0.03562 0.03318 0.03093 0.02886 0.02696 0.02519 0.02356 0.02205 0.02065 0.01934 0.01813 0.01700 0.01595 0.01497 0.01405 0.01319 0.01238 0.01162 0.01091 0.01024 0.00961 0.00901 0.00845 0.00791 0.00740 0.00691 0.00645 0.00600 0.00557 0.00515 0.00474 0.00433 0.00391 0.00346 0.00290 0.00214

−20.55 −16.64 −12.72 −8.80 −4.85 −0.90 3.07 7.05 11.05 15.07 19.11 23.17 27.25 31.35 35.48 39.64 43.82 48.04 52.30 56.59 60.92 65.30 69.73 74.20 78.74 83.34 88.01 92.76 97.60 102.54 107.60 112.79 118.14 123.69 129.48 135.56 142.03 149.04 156.88 166.20 179.49 203.56

302.26 298.86 295.42 291.94 288.42 284.86 281.26 277.60 273.90 270.14 266.32 262.45 258.51 254.50 250.41 246.25 242.01 237.68 233.26 228.73 224.10 219.35 214.47 209.46 204.29 198.96 193.44 187.73 181.78 175.57 169.07 162.23 154.99 147.26 138.95 129.90 119.89 108.55 95.20 78.26 51.83 0.0

281.71 282.21 282.69 283.15 283.57 283.96 284.33 284.66 284.95 285.21 285.43 285.61 285.75 285.85 285.89 285.89 285.84 285.73 285.56 285.32 285.02 284.65 284.20 283.66 283.03 282.30 281.46 280.49 279.38 278.11 276.67 275.02 273.13 270.95 268.43 265.46 261.92 257.59 252.07 244.46 231.32 203.56

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SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 47

TABLE B.3.1 Saturated Carbon Dioxide (continued )

Enthalpy, kJ/kg Temp. (◦ C)

Press. (kPa)

−50.0 −48 −46 −44 −42 −40 −38 −36 −34 −32 −30 −28 −26 −24 −22 −20 −18 −16 −14 −12 −10 −8 −6 −4 −2 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 31.0

682.3 739.5 800.2 864.4 932.5 1004.5 1080.5 1160.7 1245.2 1334.2 1427.8 1526.1 1629.3 1737.5 1850.9 1969.6 2093.8 2223.7 2359.3 2501.0 2648.7 2802.7 2963.2 3130.3 3304.2 3485.1 3673.3 3868.8 4072.0 4283.1 4502.2 4729.7 4965.8 5210.8 5465.1 5729.1 6003.1 6287.7 6583.7 6891.8 7213.7 7377.3

Sat. Liquid hf −19.96 −16.00 −12.02 −8.03 −4.02 0 4.04 8.11 12.19 16.30 20.43 24.60 28.78 33.00 37.26 41.55 45.87 50.24 54.65 59.11 63.62 68.18 72.81 77.50 82.26 87.10 92.02 97.05 102.18 107.43 112.83 118.38 124.13 130.11 136.36 142.97 150.02 157.71 166.36 176.72 191.65 219.34

Entropy, kJ/kg-K

Evap. hf g

Sat. Vapor hg

Sat. Liquid sf

Evap. sf g

Sat. Vapor sg

339.73 336.38 332.98 329.52 326.00 322.42 318.78 315.06 311.28 307.42 303.48 299.46 295.35 291.15 286.85 282.44 277.93 273.30 268.54 263.65 258.61 253.43 248.08 242.55 236.83 230.89 224.73 218.30 211.59 204.56 197.15 189.33 181.02 172.12 162.50 152.00 140.34 127.09 111.45 91.58 60.58 0.0

319.77 320.38 320.96 321.49 321.97 322.42 322.82 323.17 323.47 323.72 323.92 324.06 324.14 324.15 324.11 323.99 323.80 323.53 323.19 322.76 322.23 321.61 320.89 320.05 319.09 317.99 316.75 315.35 313.77 311.99 309.98 307.72 305.15 302.22 298.86 294.96 290.36 284.80 277.80 268.30 252.23 219.34

−0.0863 −0.0688 −0.0515 −0.0342 −0.0171 0 0.0170 0.0339 0.0507 0.0675 0.0842 0.1009 0.1175 0.1341 0.1506 0.1672 0.1837 0.2003 0.2169 0.2334 0.2501 0.2668 0.2835 0.3003 0.3173 0.3344 0.3516 0.3690 0.3866 0.4045 0.4228 0.4414 0.4605 0.4802 0.5006 0.5221 0.5449 0.5695 0.5971 0.6301 0.6778 0.7680

1.5224 1.4940 1.4659 1.4380 1.4103 1.3829 1.3556 1.3285 1.3016 1.2748 1.2481 1.2215 1.1950 1.1686 1.1421 1.1157 1.0893 1.0628 1.0362 1.0096 0.9828 0.9558 0.9286 0.9012 0.8734 0.8453 0.8167 0.7877 0.7580 0.7276 0.6963 0.6640 0.6304 0.5952 0.5581 0.5185 0.4755 0.4277 0.3726 0.3041 0.1998 0.0

1.4362 1.4252 1.4144 1.4038 1.3933 1.3829 1.3726 1.3624 1.3523 1.3423 1.3323 1.3224 1.3125 1.3026 1.2928 1.2829 1.2730 1.2631 1.2531 1.2430 1.2328 1.2226 1.2121 1.2015 1.1907 1.1797 1.1683 1.1567 1.1446 1.1321 1.1190 1.1053 1.0909 1.0754 1.0588 1.0406 1.0203 0.9972 0.9697 0.9342 0.8776 0.7680

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.3.2 Superheated Carbon Dioxide

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

— 0.10499 0.11538 0.12552 0.13551 0.14538 0.15518 0.16491 0.17460 0.18425 0.19388 0.20348 0.21307 0.22264 0.23219 0.24173 0.25127

— 292.46 305.30 318.31 331.57 345.14 359.03 373.25 387.80 402.67 417.86 433.35 449.13 465.20 481.55 498.16 515.02

— 334.46 351.46 368.51 385.77 403.29 421.10 439.21 457.64 476.37 495.41 514.74 534.36 554.26 574.42 594.85 615.53

— 1.5947 1.6646 1.7295 1.7904 1.8482 1.9033 1.9561 2.0069 2.0558 2.1030 2.1487 2.1930 2.2359 2.2777 2.3183 2.3578

0.04783 0.04966 0.05546 0.06094 0.06623 0.07140 0.07648 0.08150 0.08647 0.09141 0.09631 0.10119 0.10606 0.11090 0.11573 0.12056 0.12537

1000 kPa (−40.12◦ C) Sat. −20 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280

0.03845 0.04342 0.04799 0.05236 0.05660 0.06074 0.06482 0.06885 0.07284 0.07680 0.08074 0.08465 0.08856 0.09244 0.09632 0.10019 0.10405

283.94 298.89 313.15 327.27 341.46 355.82 370.42 385.26 400.38 415.77 431.43 447.36 463.56 480.01 496.72 513.67 530.86

322.39 342.31 361.14 379.63 398.05 416.56 435.23 454.11 473.22 492.57 512.17 532.02 552.11 572.46 593.04 613.86 634.90

h (kJ/kg)

s (kJ/kg-K)

800 kPa (−46.00◦ C)

400 kPa (NA) Sat. −40 −20 0 20 40 60 80 100 120 140 160 180 200 220 240 260

u (kJ/kg)

282.69 287.05 301.13 314.92 328.73 342.70 356.90 371.37 386.11 401.15 416.47 432.07 447.95 464.11 480.52 497.20 514.12

320.95 326.78 345.49 363.67 381.72 399.82 418.09 436.57 455.29 474.27 493.52 513.03 532.80 552.83 573.11 593.64 614.41

1.4145 1.4398 1.5168 1.5859 1.6497 1.7094 1.7660 1.8199 1.8714 1.9210 1.9687 2.0148 2.0594 2.1027 2.1447 2.1855 2.2252

1400 kPa (−30.58◦ C) 1.3835 1.4655 1.5371 1.6025 1.6633 1.7206 1.7750 1.8270 1.8768 1.9249 1.9712 2.0160 2.0594 2.1015 2.1424 2.1822 2.2209

0.02750 0.02957 0.03315 0.03648 0.03966 0.04274 0.04575 0.04870 0.05161 0.05450 0.05736 0.06020 0.06302 0.06583 0.06863 0.07141 0.07419

285.37 294.04 309.42 324.23 338.90 353.62 368.48 383.54 398.83 414.36 430.14 446.17 462.45 478.98 495.76 512.77 530.01

323.87 335.44 355.83 375.30 394.42 413.45 432.52 451.72 471.09 490.66 510.44 530.45 550.68 571.14 591.83 612.74 633.88

1.3352 1.3819 1.4595 1.5283 1.5914 1.6503 1.7059 1.7588 1.8093 1.8579 1.9046 1.9498 1.9935 2.0358 2.0770 2.1169 2.1558

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SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 49

TABLE B.3.2 Superheated Carbon Dioxide (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

2000 kPa (−19.50◦ C) Sat. 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300

0.01903 0.02193 0.02453 0.02693 0.02922 0.03143 0.03359 0.03570 0.03777 0.03982 0.04186 0.04387 0.04587 0.04786 0.04983 0.05180 0.05377

285.88 303.24 319.37 334.88 350.19 365.49 380.90 396.46 412.22 428.18 444.37 460.79 477.43 494.31 511.41 528.73 546.26

323.95 347.09 368.42 388.75 408.64 428.36 448.07 467.85 487.76 507.83 528.08 548.53 569.17 590.02 611.08 632.34 653.80

0.00474 — 0.00670 0.00801 0.00908 0.01004 0.01092 0.01176 0.01257 0.01335 0.01411 0.01485 0.01558 0.01630 0.01701 0.01771 0.01840

261.97 — 298.62 322.51 342.74 361.47 379.47 397.10 414.56 431.97 449.40 466.91 484.52 502.27 520.15 538.18 556.37

290.42 — 338.82 370.54 397.21 421.69 445.02 467.68 489.97 512.06 534.04 556.01 578.00 600.05 622.19 644.44 666.80

h (kJ/kg)

s (kJ/kg-K)

3000 kPa (−5.55◦ C) 1.2804 1.3684 1.4438 1.5109 1.5725 1.6300 1.6843 1.7359 1.7853 1.8327 1.8784 1.9226 1.9653 2.0068 2.0470 2.0862 2.1243

0.01221 0.01293 0.01512 0.01698 0.01868 0.02029 0.02182 0.02331 0.02477 0.02619 0.02759 0.02898 0.03035 0.03171 0.03306 0.03440 0.03573

6000 kPa (21.98◦ C) Sat. 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320

u (kJ/kg)

284.09 290.52 310.21 327.61 344.14 360.30 376.35 392.42 408.57 424.87 441.34 457.99 474.83 491.88 509.13 526.59 544.25

320.71 329.32 355.56 378.55 400.19 421.16 441.82 462.35 482.87 503.44 524.12 544.92 565.88 587.01 608.30 629.78 651.43

1.2098 1.2416 1.3344 1.4104 1.4773 1.5385 1.5954 1.6490 1.6999 1.7485 1.7952 1.8401 1.8835 1.9255 1.9662 2.0057 2.0442

10 000 kPa 1.0206 — 1.1806 1.2789 1.3567 1.4241 1.4850 1.5413 1.5939 1.6438 1.6913 1.7367 1.7804 1.8226 1.8634 1.9029 1.9412

— 0.00117 0.00159 0.00345 0.00451 0.00530 0.00598 0.00658 0.00715 0.00768 0.00819 0.00868 0.00916 0.00962 0.01008 0.01053 0.01097

— 118.12 184.23 277.63 312.82 338.20 360.19 380.54 399.99 418.94 437.61 456.12 474.58 493.03 511.53 530.11 548.77

— 129.80 200.14 312.11 357.95 391.24 419.96 446.38 471.46 495.73 519.49 542.91 566.14 589.26 612.32 635.37 658.46

— 0.4594 0.6906 1.0389 1.1728 1.2646 1.3396 1.4051 1.4644 1.5192 1.5705 1.6190 1.6652 1.7094 1.7518 1.7928 1.8324

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.4 Thermodynamic Properties of R-410A TABLE B.4.1 Saturated R-410A

Specific Volume, m3 /kg

Internal Energy, kJ/kg

Temp. (◦ C)

Press. (kPa)

Sat. Liquid vf

Evap. vf g

Sat. Vapor vg

Sat. Liquid uf

Evap. uf g

Sat. Vapor ug

−60 −55 −51.4 −50 −45 −40 −35 −30 −25 −20 −15 −10 −5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 71.3

64.1 84.0 101.3 108.7 138.8 175.0 218.4 269.6 329.7 399.6 480.4 573.1 678.9 798.7 933.9 1085.7 1255.4 1444.2 1653.6 1885.1 2140.2 2420.7 2728.3 3065.2 3433.7 3836.9 4278.3 4763.1 4901.2

0.000727 0.000735 0.000741 0.000743 0.000752 0.000762 0.000771 0.000781 0.000792 0.000803 0.000815 0.000827 0.000841 0.000855 0.000870 0.000886 0.000904 0.000923 0.000944 0.000968 0.000995 0.001025 0.001060 0.001103 0.001156 0.001227 0.001338 0.001619 0.00218

0.36772 0.28484 0.23875 0.22344 0.17729 0.14215 0.11505 0.09392 0.07726 0.06400 0.05334 0.04470 0.03764 0.03182 0.02699 0.02295 0.01955 0.01666 0.01420 0.01208 0.01025 0.00865 0.00723 0.00597 0.00482 0.00374 0.00265 0.00124 0

0.36845 0.28558 0.23949 0.22418 0.17804 0.14291 0.11582 0.09470 0.07805 0.06480 0.05416 0.04553 0.03848 0.03267 0.02786 0.02383 0.02045 0.01758 0.01514 0.01305 0.01124 0.00967 0.00829 0.00707 0.00598 0.00497 0.00399 0.00286 0.00218

−27.50 −20.70 −15.78 −13.88 −7.02 −0.13 6.80 13.78 20.82 27.92 35.08 42.32 49.65 57.07 64.60 72.24 80.02 87.94 96.03 104.32 112.83 121.61 130.72 140.27 150.44 161.57 174.59 194.53 215.78

256.41 251.89 248.59 247.31 242.67 237.95 233.14 228.23 223.21 218.07 212.79 207.36 201.75 195.95 189.93 183.66 177.10 170.21 162.95 155.24 147.00 138.11 128.41 117.63 105.34 90.70 71.59 37.47 0

228.91 231.19 232.81 233.43 235.64 237.81 239.94 242.01 244.03 245.99 247.88 249.69 251.41 253.02 254.53 255.90 257.12 258.16 258.98 259.56 259.83 259.72 259.13 257.90 255.78 252.27 246.19 232.01 215.78

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⋮ ⋮ ⋮ 51

TABLE B.4.1 Saturated R-410A (continued )

Enthalpy, kJ/kg Temp. (◦ C)

Press. (kPa)

−60 −55 −51.4 −50 −45 −40 −35 −30 −25 −20 −15 −10 −5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 71.3

64.1 84.0 101.3 108.7 138.8 175.0 218.4 269.6 329.7 399.6 480.4 573.1 678.9 798.7 933.9 1085.7 1255.4 1444.2 1653.6 1885.1 2140.2 2420.7 2728.3 3065.2 3433.7 3836.9 4278.3 4763.1 4901.2

Sat. Liquid hf −27.45 −20.64 −15.70 −13.80 −6.92 0 6.97 13.99 21.08 28.24 35.47 42.80 50.22 57.76 65.41 73.21 81.15 89.27 97.59 106.14 114.95 124.09 133.61 143.65 154.41 166.28 180.32 202.24 226.46

Entropy, kJ/kg-K

Evap. hf g

Sat. Vapor hg

Sat. Liquid sf

Evap. sf g

Sat. Vapor sg

279.96 275.83 272.78 271.60 267.27 262.83 258.26 253.55 248.69 243.65 238.42 232.98 227.31 221.37 215.13 208.57 201.64 194.28 186.43 178.02 168.94 159.04 148.14 135.93 121.89 105.04 82.95 43.40 0

252.51 255.19 257.08 257.80 260.35 262.83 265.23 267.54 269.77 271.89 273.90 275.78 277.53 279.12 280.55 281.78 282.79 283.55 284.02 284.16 283.89 283.13 281.76 279.58 276.30 271.33 263.26 245.64 226.46

−0.1227 −0.0912 −0.0688 −0.0603 −0.0299 0 0.0294 0.0585 0.0871 0.1154 0.1435 0.1713 0.1989 0.2264 0.2537 0.2810 0.3083 0.3357 0.3631 0.3908 0.4189 0.4473 0.4765 0.5067 0.5384 0.5729 0.6130 0.6752 0.7449

1.3135 1.2644 1.2301 1.2171 1.1715 1.1273 1.0844 1.0428 1.0022 0.9625 0.9236 0.8854 0.8477 0.8104 0.7734 0.7366 0.6998 0.6627 0.6253 0.5872 0.5482 0.5079 0.4656 0.4206 0.3715 0.3153 0.2453 0.1265 0

1.1907 1.1732 1.1613 1.1568 1.1416 1.1273 1.1139 1.1012 1.0893 1.0779 1.0671 1.0567 1.0466 1.0368 1.0272 1.0176 1.0081 0.9984 0.9884 0.9781 0.9671 0.9552 0.9421 0.9273 0.9099 0.8882 0.8583 0.8017 0.7449

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.4.2 Superheated R-410A

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

50 kPa (−64.34◦ C) Sat. −60 −40 −20 0 20 40 60 80 100 120 140 160 180 200 220 240

0.46484 0.47585 0.52508 0.57295 0.62016 0.66698 0.71355 0.75995 0.80623 0.85243 0.89857 0.94465 0.99070 1.03671 1.08270 1.12867 1.17462

226.90 229.60 241.94 254.51 267.52 281.05 295.15 309.84 325.11 340.99 357.46 374.50 392.12 410.28 428.98 448.19 467.90

250.15 253.40 268.20 283.16 298.53 314.40 330.83 347.83 365.43 383.61 402.38 421.74 441.65 462.12 483.11 504.63 526.63

0.16540 0.16851 0.18613 0.20289 0.21921 0.23525 0.25112 0.26686 0.28251 0.29810 0.31364 0.32915 0.34462 0.36006 0.37548 0.39089 0.40628

236.36 238.72 252.34 265.90 279.78 294.12 308.97 324.37 340.35 356.89 374.00 391.66 409.87 428.60 447.84 467.58 487.78

261.17 263.99 280.26 296.33 312.66 329.40 346.64 364.40 382.72 401.60 421.04 441.03 461.56 482.61 504.16 526.21 548.73

h (kJ/kg)

s (kJ/kg-K)

100 kPa (−51.65◦ C) 1.2070 1.2225 1.2888 1.3504 1.4088 1.4649 1.5191 1.5717 1.6230 1.6731 1.7221 1.7701 1.8171 1.8633 1.9087 1.9532 1.9969

0.24247 — 0.25778 0.28289 0.30723 0.33116 0.35483 0.37833 0.40171 0.42500 0.44822 0.47140 0.49453 0.51764 0.54072 0.56378 0.58682

150 kPa (−43.35◦ C) Sat. −40 −20 0 20 40 60 80 100 120 140 160 180 200 220 240 260

u (kJ/kg)

232.70 — 240.40 253.44 266.72 280.42 294.64 309.40 324.75 340.67 357.17 374.25 391.89 410.07 428.79 448.02 467.74

256.94 — 266.18 281.73 297.44 313.54 330.12 347.24 364.92 383.17 401.99 421.39 441.34 461.84 482.86 504.40 526.42

1.1621 — 1.2027 1.2667 1.3265 1.3833 1.4380 1.4910 1.5425 1.5928 1.6419 1.6901 1.7372 1.7835 1.8289 1.8734 1.9172

200 kPa (−37.01◦ C) 1.1368 1.1489 1.2159 1.2770 1.3347 1.3899 1.4433 1.4950 1.5455 1.5948 1.6430 1.6902 1.7366 1.7820 1.8266 1.8705 1.9135

0.12591 — 0.13771 0.15070 0.16322 0.17545 0.18750 0.19943 0.21127 0.22305 0.23477 0.24645 0.25810 0.26973 0.28134 0.29293 0.30450

239.09 — 251.18 265.06 279.13 293.59 308.53 324.00 340.02 356.60 373.74 391.43 409.66 428.41 447.67 467.41 487.63

264.27 — 278.72 295.20 311.78 328.68 346.03 363.89 382.28 401.21 420.70 440.72 461.28 482.35 503.93 526.00 548.53

1.1192 — 1.1783 1.2410 1.2995 1.3553 1.4090 1.4610 1.5117 1.5611 1.6094 1.6568 1.7032 1.7487 1.7933 1.8372 1.8803

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APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 53

TABLE B.4.2 Superheated R-410A (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

300 kPa (−27.37◦ C) Sat. −20 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280

0.08548 0.08916 0.09845 0.10720 0.11564 0.12388 0.13200 0.14003 0.14798 0.15589 0.16376 0.17159 0.17940 0.18719 0.19496 0.20272 0.21046

243.08 248.71 263.33 277.81 292.53 307.65 323.25 339.37 356.03 373.23 390.97 409.24 428.03 447.31 467.09 487.33 508.02

268.72 275.46 292.87 309.96 327.22 344.81 362.85 381.38 400.43 420.00 440.10 460.72 481.85 503.47 525.58 548.15 571.16

0.05208 0.05651 0.06231 0.06775 0.07297 0.07804 0.08302 0.08793 0.09279 0.09760 0.10238 0.10714 0.11187 0.11659 0.12129 0.12598 0.13066

248.29 259.59 275.02 290.32 305.84 321.72 338.05 354.87 372.20 390.05 408.40 427.26 446.61 466.44 486.73 507.46 528.62

274.33 287.84 306.18 324.20 342.32 360.74 379.56 398.84 418.60 438.85 459.59 480.83 502.55 524.73 547.37 570.45 593.95

h (kJ/kg)

s (kJ/kg-K)

400 kPa (−19.98◦ C) 1.0949 1.1219 1.1881 1.2485 1.3054 1.3599 1.4125 1.4635 1.5132 1.5617 1.6093 1.6558 1.7014 1.7462 1.7901 1.8332 1.8756

0.06475 — 0.07227 0.07916 0.08571 0.09207 0.09828 0.10440 0.11045 0.11645 0.12241 0.12834 0.13424 0.14012 0.14598 0.15182 0.15766

500 kPa (−13.89◦ C) Sat. 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300

u (kJ/kg)

246.00 — 261.51 276.44 291.44 306.75 322.49 338.72 355.45 372.72 390.51 408.82 427.64 446.96 466.76 487.03 507.74

271.90 — 290.42 308.10 325.72 343.58 361.80 380.48 399.64 419.30 439.47 460.16 481.34 503.01 525.15 547.76 570.81

1.0779 — 1.1483 1.2108 1.2689 1.3242 1.3773 1.4288 1.4788 1.5276 1.5752 1.6219 1.6676 1.7125 1.7565 1.7997 1.8422

600 kPa (−8.67◦ C) 1.0647 1.1155 1.1803 1.2398 1.2959 1.3496 1.4014 1.4517 1.5007 1.5486 1.5954 1.6413 1.6862 1.7303 1.7736 1.8161 1.8578

0.04351 0.04595 0.05106 0.05576 0.06023 0.06455 0.06877 0.07292 0.07701 0.08106 0.08508 0.08907 0.09304 0.09700 0.10093 0.10486 0.10877

250.15 257.54 273.56 289.19 304.91 320.94 337.38 354.29 371.68 389.58 407.98 426.88 446.26 466.11 486.42 507.18 528.36

276.26 285.12 304.20 322.64 341.05 359.67 378.65 398.04 417.89 438.22 459.03 480.32 502.08 524.31 546.98 570.09 593.62

1.0540 1.0869 1.1543 1.2152 1.2722 1.3265 1.3787 1.4294 1.4786 1.5266 1.5736 1.6196 1.6646 1.7088 1.7521 1.7947 1.8365

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.4.2 Superheated R-410A (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

800 kPa (0.05◦ C) Sat. 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300

0.03262 0.03693 0.04074 0.04429 0.04767 0.05095 0.05415 0.05729 0.06039 0.06345 0.06649 0.06951 0.07251 0.07549 0.07846 0.08142

253.04 270.47 286.83 303.01 319.36 336.03 353.11 370.64 388.65 407.13 426.10 445.55 465.46 485.82 506.61 527.83

279.14 300.02 319.42 338.44 357.49 376.79 396.42 416.47 436.96 457.90 479.30 501.15 523.46 546.21 569.38 592.97

0.02145 0.02260 0.02563 0.02830 0.03077 0.03311 0.03537 0.03756 0.03971 0.04183 0.04391 0.04597 0.04802 0.05005 0.05207 0.05407 0.05607

256.75 263.39 281.72 299.00 316.06 333.24 350.69 368.51 386.75 405.43 424.55 444.12 464.14 484.60 505.48 526.77 548.47

282.50 290.51 312.48 332.96 352.98 372.97 393.13 413.59 434.40 455.62 477.24 499.29 521.77 544.66 567.96 591.66 615.75

h (kJ/kg)

s (kJ/kg-K)

1000 kPa (7.25◦ C) 1.0367 1.1105 1.1746 1.2334 1.2890 1.3421 1.3934 1.4431 1.4915 1.5388 1.5850 1.6302 1.6746 1.7181 1.7607 1.8026

0.02596 0.02838 0.03170 0.03470 0.03753 0.04025 0.04288 0.04545 0.04798 0.05048 0.05294 0.05539 0.05781 0.06023 0.06262 0.06501

1200 kPa (13.43◦ C) Sat. 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320

u (kJ/kg)

255.16 267.11 284.35 301.04 317.73 334.65 351.91 369.58 387.70 406.28 425.33 444.84 464.80 485.21 506.05 527.30

281.12 295.49 316.05 335.75 355.27 374.89 394.79 415.04 435.68 456.76 478.27 500.23 522.62 545.43 568.67 592.31

1.0229 1.0730 1.1409 1.2019 1.2588 1.3128 1.3648 1.4150 1.4638 1.5113 1.5578 1.6032 1.6477 1.6914 1.7341 1.7761

1400 kPa (18.88◦ C) 1.0111 1.0388 1.1113 1.1747 1.2331 1.2881 1.3408 1.3915 1.4407 1.4886 1.5353 1.5809 1.6256 1.6693 1.7122 1.7543 1.7956

0.01819 0.01838 0.02127 0.02371 0.02593 0.02801 0.03000 0.03192 0.03380 0.03565 0.03746 0.03925 0.04102 0.04278 0.04452 0.04626 0.04798

257.94 259.18 278.93 296.88 314.35 331.80 349.46 367.43 385.79 404.56 423.77 443.41 463.49 483.99 504.91 526.25 547.97

283.40 284.90 308.71 330.07 350.64 371.01 391.46 412.13 433.12 454.47 476.21 498.36 520.92 543.88 567.25 591.01 615.14

1.0006 1.0057 1.0843 1.1505 1.2105 1.2666 1.3199 1.3712 1.4208 1.4690 1.5160 1.5618 1.6066 1.6505 1.6936 1.7358 1.7772

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APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 55

TABLE B.4.2 Superheated R-410A (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

1800 kPa (28.22◦ C) Sat. 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340

0.01376 0.01534 0.01754 0.01945 0.02119 0.02283 0.02441 0.02593 0.02741 0.02886 0.03029 0.03170 0.03309 0.03447 0.03584 0.03720 0.03855

259.38 272.67 292.34 310.76 328.84 346.93 365.24 383.85 402.82 422.19 441.97 462.16 482.77 503.78 525.19 546.98 569.15

284.15 300.29 323.92 345.77 366.98 388.03 409.17 430.51 452.16 474.14 496.49 519.22 542.34 565.83 589.70 613.94 638.54

0.00729 0.00858 0.01025 0.01159 0.01277 0.01387 0.01489 0.01588 0.01683 0.01775 0.01865 0.01954 0.02041 0.02127 0.02212 0.02296 0.02379

258.19 274.96 298.38 319.07 338.84 358.32 377.80 397.46 417.37 437.60 458.16 479.08 500.37 522.01 544.02 566.37 589.07

280.06 300.70 329.12 353.84 377.16 399.92 422.49 445.09 467.85 490.84 514.11 537.69 561.59 585.81 610.37 635.25 660.45

h (kJ/kg)

s (kJ/kg-K)

2000 kPa (32.31◦ C) 0.9818 1.0344 1.1076 1.1713 1.2297 1.2847 1.3371 1.3875 1.4364 1.4839 1.5301 1.5753 1.6195 1.6627 1.7051 1.7467 1.7875

0.01218 0.01321 0.01536 0.01717 0.01880 0.02032 0.02177 0.02317 0.02452 0.02585 0.02715 0.02844 0.02970 0.03095 0.03220 0.03343 0.03465

3000 kPa (49.07◦ C) Sat. 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360

u (kJ/kg)

259.72 269.07 289.90 308.88 327.30 345.64 364.12 382.86 401.94 421.40 441.25 461.50 482.16 503.21 524.66 546.49 568.69

284.09 295.49 320.62 343.22 364.91 386.29 407.66 429.20 450.99 473.10 495.55 518.37 541.56 565.12 589.05 613.35 637.99

0.9731 1.0099 1.0878 1.1537 1.2134 1.2693 1.3223 1.3732 1.4224 1.4701 1.5166 1.5619 1.6063 1.6497 1.6922 1.7338 1.7747

4000 kPa (61.90◦ C) 0.9303 0.9933 1.0762 1.1443 1.2052 1.2617 1.3150 1.3661 1.4152 1.4628 1.5091 1.5541 1.5981 1.6411 1.6833 1.7245 1.7650

0.00460 — 0.00661 0.00792 0.00897 0.00990 0.01076 0.01156 0.01232 0.01305 0.01377 0.01446 0.01514 0.01581 0.01647 0.01712 0.01776

250.37 — 285.02 309.62 331.39 352.14 372.51 392.82 413.25 433.88 454.79 475.99 497.51 519.37 541.55 564.06 586.90

268.76 — 311.48 341.29 367.29 391.75 415.53 439.05 462.52 486.10 509.85 533.83 558.08 582.60 607.42 632.54 657.95

0.8782 — 1.0028 1.0850 1.1529 1.2136 1.2698 1.3229 1.3736 1.4224 1.4696 1.5155 1.5601 1.6037 1.6462 1.6879 1.7286

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.5 Thermodynamic Properties of R-134a TABLE B.5.1 Saturated R-134a

Specific Volume, m3 /kg

Internal Energy, kJ/kg

Temp. (◦ C)

Press. (kPa)

Sat. Liquid vf

Evap. vf g

Sat. Vapor vg

Sat. Liquid uf

Evap. uf g

Sat. Vapor ug

−70 −65 −60 −55 −50 −45 −40 −35 −30 −26.3 −25 −20 −15 −10 −5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 101.2

8.3 11.7 16.3 22.2 29.9 39.6 51.8 66.8 85.1 101.3 107.2 133.7 165.0 201.7 244.5 294.0 350.9 415.8 489.5 572.8 666.3 771.0 887.6 1017.0 1160.2 1318.1 1491.6 1681.8 1889.9 2117.0 2364.4 2633.6 2926.2 3244.5 3591.5 3973.2 4064.0

0.000675 0.000679 0.000684 0.000689 0.000695 0.000701 0.000708 0.000715 0.000722 0.000728 0.000730 0.000738 0.000746 0.000755 0.000764 0.000773 0.000783 0.000794 0.000805 0.000817 0.000829 0.000843 0.000857 0.000873 0.000890 0.000908 0.000928 0.000951 0.000976 0.001005 0.001038 0.001078 0.001128 0.001195 0.001297 0.001557 0.001969

1.97207 1.42915 1.05199 0.78609 0.59587 0.45783 0.35625 0.28051 0.22330 0.18947 0.17957 0.14576 0.11932 0.09845 0.08181 0.06842 0.05755 0.04866 0.04133 0.03524 0.03015 0.02587 0.02224 0.01915 0.01650 0.01422 0.01224 0.01051 0.00899 0.00765 0.00645 0.00537 0.00437 0.00341 0.00243 0.00108 0

1.97274 1.42983 1.05268 0.78678 0.59657 0.45853 0.35696 0.28122 0.22402 0.19020 0.18030 0.14649 0.12007 0.09921 0.08257 0.06919 0.05833 0.04945 0.04213 0.03606 0.03098 0.02671 0.02310 0.02002 0.01739 0.01512 0.01316 0.01146 0.00997 0.00866 0.00749 0.00645 0.00550 0.00461 0.00373 0.00264 0.00197

119.46 123.18 127.52 132.36 137.60 143.15 148.95 154.93 161.06 165.73 167.30 173.65 180.07 186.57 193.14 199.77 206.48 213.25 220.10 227.03 234.04 241.14 248.34 255.65 263.08 270.63 278.33 286.19 294.24 302.51 311.06 319.96 329.35 339.51 351.17 368.55 382.97

218.74 217.76 216.19 214.14 211.71 208.99 206.05 202.93 199.67 197.16 196.31 192.85 189.32 185.70 182.01 178.24 174.38 170.42 166.35 162.16 157.83 153.34 148.68 143.81 138.71 133.35 127.68 121.66 115.22 108.27 100.68 92.26 82.67 71.24 56.25 28.19 0

338.20 340.94 343.71 346.50 349.31 352.15 355.00 357.86 360.73 362.89 363.61 366.50 369.39 372.27 375.15 378.01 380.85 383.67 386.45 389.19 391.87 394.48 397.02 399.46 401.79 403.98 406.01 407.85 409.46 410.78 411.74 412.22 412.01 410.75 407.42 396.74 382.97

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APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 57

TABLE B.5.1 Saturated R-134a (continued )

Enthalpy, kJ/kg

Entropy, kJ/k-K

Temp. (◦ C)

Press. (kPa)

Sat. Liquid hf

Evap. hf g

Sat. Vapor hg

Sat. Liquid sf

Evap. sf g

Sat. Vapor sg

−70 −65 −60 −55 −50 −45 −40 −35 −30 −26.3 −25 −20 −15 −10 −5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 101.2

8.3 11.7 16.3 22.2 29.9 39.6 51.8 66.8 85.1 101.3 107.2 133.7 165.0 201.7 244.5 294.0 350.9 415.8 489.5 572.8 666.3 771.0 887.6 1017.0 1160.2 1318.1 1491.6 1681.8 1889.9 2117.0 2364.4 2633.6 2926.2 3244.5 3591.5 3973.2 4064.0

119.47 123.18 127.53 132.37 137.62 143.18 148.98 154.98 161.12 165.80 167.38 173.74 180.19 186.72 193.32 200.00 206.75 213.58 220.49 227.49 234.59 241.79 249.10 256.54 264.11 271.83 279.72 287.79 296.09 304.64 313.51 322.79 332.65 343.38 355.83 374.74 390.98

235.15 234.55 233.33 231.63 229.54 227.14 224.50 221.67 218.68 216.36 215.57 212.34 209.00 205.56 202.02 198.36 194.57 190.65 186.58 182.35 177.92 173.29 168.42 163.28 157.85 152.08 145.93 139.33 132.21 124.47 115.94 106.40 95.45 82.31 64.98 32.47 0

354.62 357.73 360.86 364.00 367.16 370.32 373.48 376.64 379.80 382.16 382.95 386.08 389.20 392.28 395.34 398.36 401.32 404.23 407.07 409.84 412.51 415.08 417.52 419.82 421.96 423.91 425.65 427.13 428.30 429.11 429.45 429.19 428.10 425.70 420.81 407.21 390.98

0.6645 0.6825 0.7031 0.7256 0.7493 0.7740 0.7991 0.8245 0.8499 0.8690 0.8754 0.9007 0.9258 0.9507 0.9755 1.0000 1.0243 1.0485 1.0725 1.0963 1.1201 1.1437 1.1673 1.1909 1.2145 1.2381 1.2619 1.2857 1.3099 1.3343 1.3592 1.3849 1.4117 1.4404 1.4733 1.5228 1.5658

1.1575 1.1268 1.0947 1.0618 1.0286 0.9956 0.9629 0.9308 0.8994 0.8763 0.8687 0.8388 0.8096 0.7812 0.7534 0.7262 0.6995 0.6733 0.6475 0.6220 0.5967 0.5716 0.5465 0.5214 0.4962 0.4706 0.4447 0.4182 0.3910 0.3627 0.3330 0.3013 0.2665 0.2267 0.1765 0.0870 0

1.8220 1.8094 1.7978 1.7874 1.7780 1.7695 1.7620 1.7553 1.7493 1.7453 1.7441 1.7395 1.7354 1.7319 1.7288 1.7262 1.7239 1.7218 1.7200 1.7183 1.7168 1.7153 1.7139 1.7123 1.7106 1.7088 1.7066 1.7040 1.7008 1.6970 1.6923 1.6862 1.6782 1.6671 1.6498 1.6098 1.5658

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.5.2 Superheated R-134a

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

50 kPa (−40.67◦ C) Sat. −20 −10 0 10 20 30 40 50 60 70 80 90 100 110 120 130

0.36889 0.40507 0.42222 0.43921 0.45608 0.47287 0.48958 0.50623 0.52284 0.53941 0.55595 0.57247 0.58896 0.60544 0.62190 0.63835 0.65479

354.61 368.57 375.53 382.63 389.90 397.32 404.90 412.64 420.55 428.63 436.86 445.26 453.82 462.53 471.41 480.44 489.63

373.06 388.82 396.64 404.59 412.70 420.96 429.38 437.96 446.70 455.60 464.66 473.88 483.26 492.81 502.50 512.36 522.37

0.13139 0.13602 0.14222 0.14828 0.15424 0.16011 0.16592 0.17168 0.17740 0.18308 0.18874 0.19437 0.19999 0.20559 0.21117 0.21675 0.22231

368.06 373.44 380.85 388.36 395.98 403.71 411.59 419.60 427.76 436.06 444.52 453.13 461.89 470.80 479.87 489.08 498.45

387.77 393.84 402.19 410.60 419.11 427.73 436.47 445.35 454.37 463.53 472.83 482.28 491.89 501.64 511.54 521.60 531.80

h (kJ/kg)

s (kJ/kg-K)

100 kPa (−26.54◦ C) 1.7629 1.8279 1.8582 1.8878 1.9170 1.9456 1.9739 2.0017 2.0292 2.0563 2.0831 2.1096 2.1358 2.1617 2.1874 2.2128 2.2379

0.19257 0.19860 0.20765 0.21652 0.22527 0.23392 0.24250 0.25101 0.25948 0.26791 0.27631 0.28468 0.29302 0.30135 0.30967 0.31797 0.32626

150 kPa (−17.29◦ C) Sat. −10 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140

u (kJ/kg)

362.73 367.36 374.51 381.76 389.14 396.66 404.31 412.12 420.08 428.20 436.47 444.89 453.47 462.21 471.11 480.16 489.36

381.98 387.22 395.27 403.41 411.67 420.05 428.56 437.22 446.03 454.99 464.10 473.36 482.78 492.35 502.07 511.95 521.98

1.7456 1.7665 1.7978 1.8281 1.8578 1.8869 1.9155 1.9436 1.9712 1.9985 2.0255 2.0521 2.0784 2.1044 2.1301 2.1555 2.1807

200 kPa (−10.22◦ C) 1.7372 1.7606 1.7917 1.8220 1.8515 1.8804 1.9088 1.9367 1.9642 1.9913 2.0180 2.0444 2.0705 2.0963 2.1218 2.1470 2.1720

0.10002 0.10013 0.10501 0.10974 0.11436 0.11889 0.12335 0.12776 0.13213 0.13646 0.14076 0.14504 0.14930 0.15355 0.15777 0.16199 0.16620

372.15 372.31 379.91 387.55 395.27 403.10 411.04 419.11 427.31 435.65 444.14 452.78 461.56 470.50 479.58 488.81 498.19

392.15 392.34 400.91 409.50 418.15 426.87 435.71 444.66 453.74 462.95 472.30 481.79 491.42 501.21 511.13 521.21 531.43

1.7320 1.7328 1.7647 1.7956 1.8256 1.8549 1.8836 1.9117 1.9394 1.9666 1.9935 2.0200 2.0461 2.0720 2.0976 2.1229 2.1479

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APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 59

TABLE B.5.2 Superheated R-134a (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

300 kPa (0.56◦ C) Sat. 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160

0.06787 0.07111 0.07441 0.07762 0.08075 0.08382 0.08684 0.08982 0.09277 0.09570 0.09861 0.10150 0.10437 0.10723 0.11008 0.11292 0.11575

378.33 385.84 393.80 401.81 409.90 418.09 426.39 434.82 443.37 452.07 460.90 469.87 478.99 488.26 497.66 507.22 516.91

398.69 407.17 416.12 425.10 434.12 443.23 452.44 461.76 471.21 480.78 490.48 500.32 510.30 520.43 530.69 541.09 551.64

0.04126 0.04226 0.04446 0.04656 0.04858 0.05055 0.05247 0.05435 0.05620 0.05804 0.05985 0.06164 0.06342 0.06518 0.06694 0.06869 0.07043

386.82 390.52 398.99 407.44 415.91 424.44 433.06 441.77 450.59 459.53 468.60 477.79 487.13 496.59 506.20 515.95 525.83

407.45 411.65 421.22 430.72 440.20 449.72 459.29 468.94 478.69 488.55 498.52 508.61 518.83 529.19 539.67 550.29 561.04

h (kJ/kg)

s (kJ/kg-K)

400 kPa (8.84◦ C) 1.7259 1.7564 1.7874 1.8175 1.8468 1.8755 1.9035 1.9311 1.9582 1.9850 2.0113 2.0373 2.0631 2.0885 2.1136 2.1385 2.1631

0.05136 0.05168 0.05436 0.05693 0.05940 0.06181 0.06417 0.06648 0.06877 0.07102 0.07325 0.07547 0.07767 0.07985 0.08202 0.08418 0.08634

500 kPa (15.66◦ C) Sat. 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170

u (kJ/kg)

383.02 383.98 392.22 400.45 408.70 417.03 425.44 433.95 442.58 451.34 460.22 469.24 478.40 487.69 497.13 506.71 516.43

403.56 404.65 413.97 423.22 432.46 441.75 451.10 460.55 470.09 479.75 489.52 499.43 509.46 519.63 529.94 540.38 550.97

1.7223 1.7261 1.7584 1.7895 1.8195 1.8487 1.8772 1.9051 1.9325 1.9595 1.9860 2.0122 2.0381 2.0636 2.0889 2.1139 2.1386

600 kPa (21.52◦ C) 1.7198 1.7342 1.7663 1.7971 1.8270 1.8560 1.8843 1.9120 1.9392 1.9660 1.9924 2.0184 2.0440 2.0694 2.0945 2.1193 2.1438

0.03442 — 0.03609 0.03796 0.03974 0.04145 0.04311 0.04473 0.04632 0.04788 0.04943 0.05095 0.05246 0.05396 0.05544 0.05692 0.05839

390.01 — 397.44 406.11 414.75 423.41 432.13 440.93 449.82 458.82 467.94 477.18 486.55 496.05 505.69 515.46 525.36

410.66 — 419.09 428.88 438.59 448.28 457.99 467.76 477.61 487.55 497.59 507.75 518.03 528.43 538.95 549.61 560.40

1.7179 — 1.7461 1.7779 1.8084 1.8379 1.8666 1.8947 1.9222 1.9492 1.9758 2.0019 2.0277 2.0532 2.0784 2.1033 2.1279

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.5.2 Superheated R-134a (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

800 kPa (31.30◦ C) Sat. 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180

0.02571 0.02711 0.02861 0.03002 0.03137 0.03268 0.03394 0.03518 0.03639 0.03758 0.03876 0.03992 0.04107 0.04221 0.04334 0.04446

395.15 403.17 412.23 421.20 430.17 439.17 448.22 457.35 466.58 475.92 485.37 494.94 504.64 514.46 524.42 534.51

415.72 424.86 435.11 445.22 455.27 465.31 475.38 485.50 495.70 505.99 516.38 526.88 537.50 548.23 559.09 570.08

0.01676 0.01724 0.01844 0.01953 0.02055 0.02151 0.02244 0.02333 0.02420 0.02504 0.02587 0.02669 0.02750 0.02829 0.02907

402.37 406.15 416.08 425.74 435.27 444.74 454.20 463.71 473.27 482.91 492.65 502.48 512.43 522.50 532.68

422.49 426.84 438.21 449.18 459.92 470.55 481.13 491.70 502.31 512.97 523.70 534.51 545.43 556.44 567.57

h (kJ/kg)

s (kJ/kg-K)

1000 kPa (39.37◦ C) 1.7150 1.7446 1.7768 1.8076 1.8373 1.8662 1.8943 1.9218 1.9487 1.9753 2.0014 2.0271 2.0525 2.0775 2.1023 2.1268

0.02038 0.02047 0.02185 0.02311 0.02429 0.02542 0.02650 0.02754 0.02856 0.02956 0.03053 0.03150 0.03244 0.03338 0.03431 0.03523

1200 kPa (46.31◦ C) Sat. 50 60 70 80 90 100 110 120 130 140 150 160 170 180

u (kJ/kg)

399.16 399.78 409.39 418.78 428.05 437.29 446.53 455.82 465.18 474.62 484.16 493.81 503.57 513.46 523.46 533.60

419.54 420.25 431.24 441.89 452.34 462.70 473.03 483.36 493.74 504.17 514.69 525.30 536.02 546.84 557.77 568.83

1.7125 1.7148 1.7494 1.7818 1.8127 1.8425 1.8713 1.8994 1.9268 1.9537 1.9801 2.0061 2.0318 2.0570 2.0820 2.1067

1400 kPa (52.42◦ C) 1.7102 1.7237 1.7584 1.7908 1.8217 1.8514 1.8801 1.9081 1.9354 1.9621 1.9884 2.0143 2.0398 2.0649 2.0898

0.01414 — 0.01503 0.01608 0.01704 0.01793 0.01878 0.01958 0.02036 0.02112 0.02186 0.02258 0.02329 0.02399 0.02468

404.98 — 413.03 423.20 433.09 442.83 452.50 462.17 471.87 481.63 491.46 501.37 511.39 521.51 531.75

424.78 — 434.08 445.72 456.94 467.93 478.79 489.59 500.38 511.19 522.05 532.98 543.99 555.10 566.30

1.7077 — 1.7360 1.7704 1.8026 1.8333 1.8628 1.8914 1.9192 1.9463 1.9730 1.9991 2.0248 2.0502 2.0752

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SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 61

TABLE B.5.2 Superheated R-134a (continued )

Temp. (◦ C)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

1600 kPa (57.90◦ C) Sat. 60 70 80 90 100 110 120 130 140 150 160 170 180

0.01215 0.01239 0.01345 0.01438 0.01522 0.01601 0.01676 0.01748 0.01817 0.01884 0.01949 0.02013 0.02076 0.02138

407.11 409.49 420.37 430.72 440.79 450.71 460.57 470.42 480.30 490.23 500.24 510.33 520.52 530.81

426.54 429.32 441.89 453.72 465.15 476.33 487.39 498.39 509.37 520.38 531.43 542.54 553.73 565.02

0.00528 0.00575 0.00665 0.00734 0.00792 0.00845 0.00893 0.00937 0.00980 0.01021 0.01060

411.83 418.93 433.77 446.48 458.27 469.58 480.61 491.49 502.30 513.09 523.89

427.67 436.19 453.73 468.50 482.04 494.91 507.39 519.62 531.70 543.71 555.69

1.7051 1.7135 1.7507 1.7847 1.8166 1.8469 1.8762 1.9045 1.9321 1.9591 1.9855 2.0115 2.0370 2.0622

0.00930 — 0.00958 0.01055 0.01137 0.01211 0.01279 0.01342 0.01403 0.01461 0.01517 0.01571 0.01624 0.01676

0.001059 0.001150 0.001307 0.001698 0.002396 0.002985 0.003439 0.003814 0.004141 0.004435

328.34 346.71 368.06 396.59 426.81 448.34 465.19 479.89 493.45 506.35

334.70 353.61 375.90 406.78 441.18 466.25 485.82 502.77 518.30 532.96

s (kJ/kg-K)

410.15 — 413.37 425.20 436.20 446.78 457.12 467.34 477.51 487.68 497.89 508.15 518.48 528.89

428.75 — 432.53 446.30 458.95 471.00 482.69 494.19 505.57 516.90 528.22 539.57 550.96 562.42

1.6991 — 1.7101 1.7497 1.7850 1.8177 1.8487 1.8783 1.9069 1.9346 1.9617 1.9882 2.0142 2.0398

4000 kPa (100.33◦ C) 1.6759 1.6995 1.7472 1.7862 1.8211 1.8535 1.8840 1.9133 1.9415 1.9689 1.9956

0.00252 — — 0.00428 0.00500 0.00556 0.00603 0.00644 0.00683 0.00718 0.00752

6000 kPa 90 100 110 120 130 140 150 160 170 180

h (kJ/kg)

2000 kPa (67.48◦ C)

3000 kPa (86.20◦ C) Sat. 90 100 110 120 130 140 150 160 170 180

u (kJ/kg)

394.86 — — 429.74 445.97 459.63 472.19 484.15 495.77 507.19 518.51

404.94 — — 446.84 465.99 481.87 496.29 509.92 523.07 535.92 548.57

1.6036 — — 1.7148 1.7642 1.8040 1.8394 1.8720 1.9027 1.9320 1.9603

l0000 kPa 1.4081 1.4595 1.5184 1.5979 1.6843 1.7458 1.7926 1.8322 1.8676 1.9004

0.000991 0.001040 0.001100 0.001175 0.001272 0.001400 0.001564 0.001758 0.001965 0.002172

320.72 336.45 352.74 369.69 387.44 405.97 424.99 443.77 461.65 478.40

330.62 346.85 363.73 381.44 400.16 419.98 440.63 461.34 481.30 500.12

1.3856 1.4297 1.4744 1.5200 1.5670 1.6155 1.6649 1.7133 1.7589 1.8009

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.6 Thermodynamic Properties of Nitrogen TABLE B.6.1 Saturated Nitrogen

Specific Volume, m3 /kg

Internal Energy, kJ/kg

Temp. (K)

Press. (kPa)

Sat. Liquid vf

Evap. vfg

Sat. Vapor vg

Sat. Liquid uf

Evap. ufg

Sat. Vapor ug

63.1 65 70 75 77.3 80 85 90 95 100 105 110 115 120 125 126.2

12.5 17.4 38.6 76.1 101.3 137.0 229.1 360.8 541.1 779.2 1084.6 1467.6 1939.3 2513.0 3208.0 3397.8

0.001150 0.001160 0.001191 0.001223 0.001240 0.001259 0.001299 0.001343 0.001393 0.001452 0.001522 0.001610 0.001729 0.001915 0.002355 0.003194

1.48074 1.09231 0.52513 0.28052 0.21515 0.16249 0.10018 0.06477 0.04337 0.02975 0.02066 0.01434 0.00971 0.00608 0.00254 0

1.48189 1.09347 0.52632 0.28174 0.21639 0.16375 0.10148 0.06611 0.04476 0.03120 0.02218 0.01595 0.01144 0.00799 0.00490 0.00319

−150.92 −147.19 −137.13 −127.04 −122.27 −116.86 −106.55 −96.06 −85.35 −74.33 −62.89 −50.81 −37.66 −22.42 −0.83 18.94

196.86 194.37 187.54 180.47 177.04 173.06 165.20 156.76 147.60 137.50 126.18 113.11 97.36 76.63 40.73 0

45.94 47.17 50.40 53.43 54.76 56.20 58.65 60.70 62.25 63.17 63.29 62.31 59.70 54.21 39.90 18.94

Enthalpy, kJ/kg

Entropy, kJ/kg-K

Temp. (K)

Press. (kPa)

Sat. Liquid hf

Evap. hfg

Sat. Vapor hg

Sat. Liquid sf

Evap. sfg

Sat. Vapor sg

63.1 65 70 75 77.3 80 85 90 95 100 105 110 115 120 125 126.2

12.5 17.4 38.6 76.1 101.3 137.0 229.1 360.8 541.1 779.2 1084.6 1467.6 1939.3 2513.0 3208.0 3397.8

−150.91 −147.17 −137.09 −126.95 −122.15 −116.69 −106.25 −95.58 −84.59 −73.20 −61.24 −48.45 −34.31 −17.61 6.73 29.79

215.39 213.38 207.79 201.82 198.84 195.32 188.15 180.13 171.07 160.68 148.59 134.15 116.19 91.91 48.88 0

64.48 66.21 70.70 74.87 76.69 78.63 81.90 84.55 86.47 87.48 87.35 85.71 81.88 74.30 55.60 29.79

2.4234 2.4816 2.6307 2.7700 2.8326 2.9014 3.0266 3.1466 3.2627 3.3761 3.4883 3.6017 3.7204 3.8536 4.0399 4.2193

3.4109 3.2828 2.9684 2.6909 2.5707 2.4415 2.2135 2.0015 1.8007 1.6068 1.4151 1.2196 1.0104 0.7659 0.3910 0

5.8343 5.7645 5.5991 5.4609 5.4033 5.3429 5.2401 5.1480 5.0634 4.9829 4.9034 4.8213 4.7307 4.6195 4.4309 4.2193

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APPENDIX B

SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 63

TABLE B.6.2 Superheated Nitrogen

Temp. (K)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

100 kPa (77.24 K) Sat. 100 120 140 160 180 200 220 240 260 280 300 350 400 450 500 600 700 800 900 1000

0.21903 0.29103 0.35208 0.41253 0.47263 0.53254 0.59231 0.65199 0.71161 0.77118 0.83072 0.89023 1.03891 1.18752 1.33607 1.48458 1.78154 2.07845 2.37532 2.67217 2.96900

54.70 72.84 87.94 102.95 117.91 132.83 147.74 162.63 177.51 192.39 207.26 222.14 259.35 296.66 334.16 371.95 448.79 527.74 609.07 692.79 778.78

76.61 101.94 123.15 144.20 165.17 186.09 206.97 227.83 248.67 269.51 290.33 311.16 363.24 415.41 467.77 520.41 626.94 735.58 846.60 960.01 1075.68

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

200 kPa (83.62 K) 5.4059 5.6944 5.8878 6.0501 6.1901 6.3132 6.4232 6.5227 6.6133 6.6967 6.7739 6.8457 7.0063 7.1456 7.2690 7.3799 7.5741 7.7415 7.8897 8.0232 8.1451

0.11520 0.14252 0.17397 0.20476 0.23519 0.26542 0.29551 0.32552 0.35546 0.38535 0.41520 0.44503 0.51952 0.59392 0.66827 0.74258 0.89114 1.03965 1.18812 1.33657 1.48501

58.01 71.73 87.14 102.33 117.40 132.41 147.37 162.31 177.23 192.14 207.04 221.93 259.18 296.52 334.04 371.85 448.71 527.68 609.02 692.75 778.74

81.05 100.24 121.93 143.28 164.44 185.49 206.48 227.41 248.32 269.21 290.08 310.94 363.09 415.31 467.70 520.37 626.94 735.61 846.64 960.07 1075.75

5.2673 5.4775 5.6753 5.8399 5.9812 6.1052 6.2157 6.3155 6.4064 6.4900 6.5674 6.6393 6.8001 6.9396 7.0630 7.1740 7.3682 7.5357 7.6839 7.8175 7.9393

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.6.2 Superheated Nitrogen (continued )

Temp. (K)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

400 kPa (91.22 K) Sat. 100 120 140 160 180 200 220 240 260 280 300 350 400 450 500 600 700 800 900 1000

0.05992 0.06806 0.08486 0.10085 0.11647 0.13186 0.14712 0.16228 0.17738 0.19243 0.20745 0.22244 0.25982 0.29712 0.33437 0.37159 0.44595 0.52025 0.59453 0.66878 0.74302

61.13 69.30 85.48 101.06 116.38 131.55 146.64 161.68 176.67 191.64 206.58 221.52 258.85 296.25 333.81 371.65 448.55 527.55 608.92 692.67 778.68

85.10 96.52 119.42 141.40 162.96 184.30 205.49 226.59 247.62 268.61 289.56 310.50 362.78 415.10 467.56 520.28 626.93 735.65 846.73 960.19 1075.89

0.03038 0.04017 0.04886 0.05710 0.06509 0.07293 0.08067 0.08835 0.09599 0.10358 0.11115 0.12998 0.14873 0.18609 0.22335 0.26056 0.29773 0.33488 0.37202

63.21 81.88 98.41 114.28 129.82 145.17 160.40 175.54 190.63 205.68 220.70 258.19 295.69 371.25 448.24 527.31 608.73 692.52 778.55

87.52 114.02 137.50 159.95 181.89 203.51 224.94 246.23 267.42 288.54 309.62 362.17 414.68 520.12 626.93 735.76 846.91 960.42 1076.16

h (kJ/kg)

s (kJ/kg-K)

600 kPa (96.37 K) 5.1268 5.2466 5.4556 5.6250 5.7690 5.8947 6.0063 6.1069 6.1984 6.2824 6.3600 6.4322 6.5934 6.7331 6.8567 6.9678 7.1622 7.3298 7.4781 7.6117 7.7335

0.04046 0.04299 0.05510 0.06620 0.07689 0.08734 0.09766 0.10788 0.11803 0.12813 0.13820 0.14824 0.17326 0.19819 0.22308 0.24792 0.29755 0.34712 0.39666 0.44618 0.49568

800 kPa (100.38 K) Sat. 120 140 160 180 200 220 240 260 280 300 350 400 500 600 700 800 900 1000

u (kJ/kg)

62.57 66.41 83.73 99.75 115.34 130.69 145.91 161.04 176.11 191.13 206.13 221.11 258.52 295.97 333.57 371.45 448.40 527.43 608.82 692.59 778.61

86.85 92.20 116.79 139.47 161.47 183.10 204.50 225.76 246.92 268.01 289.05 310.06 362.48 414.89 467.42 520.20 626.93 735.70 846.82 960.30 1076.02

5.0411 5.0957 5.3204 5.4953 5.6422 5.7696 5.8823 5.9837 6.0757 6.1601 6.2381 6.3105 6.4722 6.6121 6.7359 6.8471 7.0416 7.2093 7.3576 7.4912 7.6131

1000 kPa (103.73 K) 4.9768 5.2191 5.4002 5.5501 5.6793 5.7933 5.8954 5.9880 6.0728 6.1511 6.2238 6.3858 6.5260 6.7613 6.9560 7.1237 7.2721 7.4058 7.5277

0.02416 0.03117 0.03845 0.04522 0.05173 0.05809 0.06436 0.07055 0.07670 0.08281 0.08889 0.10401 0.11905 0.14899 0.17883 0.20862 0.23837 0.26810 0.29782

63.35 79.91 97.02 113.20 128.94 144.43 159.76 174.98 190.13 205.23 220.29 257.86 295.42 371.04 448.09 527.19 608.63 692.44 778.49

87.51 111.08 135.47 158.42 180.67 202.52 224.11 245.53 266.83 288.04 309.18 361.87 414.47 520.04 626.92 735.81 847.00 960.54 1076.30

4.9237 5.1357 5.3239 5.4772 5.6082 5.7234 5.8263 5.9194 6.0047 6.0833 6.1562 6.3187 6.4591 6.6947 6.8895 7.0573 7.2057 7.3394 7.4614

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SI UNITS: THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 65

TABLE B.6.2 Superheated Nitrogen (continued )

Temp. (K)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

1500 kPa (110.38 K) Sat. 120 140 160 180 200 220 240 260 280 300 350 400 450 500 600 700 800 900 1000

0.01555 0.01899 0.02452 0.02937 0.03393 0.03832 0.04260 0.04682 0.05099 0.05512 0.05922 0.06940 0.07949 0.08953 0.09953 0.11948 0.13937 0.15923 0.17906 0.19889

62.17 74.26 93.36 110.44 126.71 142.56 158.14 173.57 188.87 204.10 219.27 257.03 294.73 332.53 370.54 447.71 526.89 608.39 692.24 778.32

85.51 102.75 130.15 154.50 177.60 200.03 222.05 243.80 265.36 286.78 308.10 361.13 413.96 466.82 519.84 626.92 735.94 847.22 960.83 1076.65

u (kJ/kg)

0.00582 0.01038 0.01350 0.01614 0.01857 0.02088 0.02312 0.02531 0.02746 0.02958 0.03480 0.03993 0.05008 0.06013 0.07012 0.08008 0.09003 0.09996

46.03 79.98 101.35 119.68 136.78 153.24 169.30 185.10 200.72 216.21 254.57 292.70 369.06 446.57 525.99 607.67 691.65 777.85

63.47 111.13 141.85 168.09 192.49 215.88 238.66 261.02 283.09 304.94 358.96 412.50 519.29 626.95 736.35 847.92 961.73 1077.72

s (kJ/kg-K)

2000 kPa (115.58 K) 4.8148 4.9650 5.1767 5.3394 5.4755 5.5937 5.6987 5.7933 5.8796 5.9590 6.0325 6.1960 6.3371 6.4616 6.5733 6.7685 6.9365 7.0851 7.2189 7.3409

0.01100 0.01260 0.01752 0.02144 0.02503 0.02844 0.03174 0.03496 0.03814 0.04128 0.04440 0.05209 0.05971 0.06727 0.07480 0.08980 0.10474 0.11965 0.13454 0.14942

59.25 66.90 89.37 107.55 124.42 140.66 156.52 172.15 187.62 202.97 218.24 256.21 294.05 331.95 370.05 447.33 526.59 608.14 692.04 778.16

3000 kPa (123.61 K) Sat. 140 160 180 200 220 240 260 280 300 350 400 500 600 700 800 900 1000

h (kJ/kg)

81.25 92.10 124.40 150.43 174.48 197.53 219.99 242.08 263.90 285.53 307.03 360.39 413.47 466.49 519.65 626.93 736.07 847.45 961.13 1077.01

4.7193 4.8116 5.0618 5.2358 5.3775 5.4989 5.6060 5.7021 5.7894 5.8696 5.9438 6.1083 6.2500 6.3750 6.4870 6.6825 6.8507 6.9994 7.1333 7.2553

10000 kPa 4.5032 4.8706 5.0763 5.2310 5.3596 5.4711 5.5702 5.6597 5.7414 5.8168 5.9834 6.1264 6.3647 6.5609 6.7295 6.8785 7.0125 7.1347

— 0.00200 0.00291 0.00402 0.00501 0.00590 0.00672 0.00749 0.00824 0.00895 0.01067 0.01232 0.01551 0.01861 0.02167 0.02470 0.02771 0.03072

—

—

0.84 47.44 82.44 108.21 129.86 149.42 167.77 185.34 202.38 243.57 283.59 362.42 441.47 521.96 604.42 689.02 775.68

20.87 76.52 122.65 158.35 188.88 216.64 242.72 267.69 291.90 350.26 406.79 517.48 627.58 738.65 851.43 966.15 1082.84

— 4.0373 4.4088 4.6813 4.8697 5.0153 5.1362 5.2406 5.3331 5.4167 5.5967 5.7477 5.9948 6.1955 6.3667 6.5172 6.6523 6.7753

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.7 Thermodynamic Properties of Methane TABLE B.7.1 Saturated Methane

Specific Volume, m3 /kg

Internal Energy, kJ/kg

Temp. (K)

P (kPa)

vf

vf g

vg

uf

uf g

ug

90.7 95 100 105 110 111.7 115 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190 190.6

11.7 19.8 34.4 56.4 88.2 101.3 132.3 191.6 269.0 367.6 490.7 641.6 823.7 1040.5 1295.6 1592.8 1935.9 2329.3 2777.6 3286.4 3863.2 4520.5 4599.2

0.002215 0.002243 0.002278 0.002315 0.002353 0.002367 0.002395 0.002439 0.002486 0.002537 0.002592 0.002653 0.002719 0.002794 0.002877 0.002974 0.003086 0.003222 0.003393 0.003623 0.003977 0.004968 0.006148

3.97941 2.44845 1.47657 0.93780 0.62208 0.54760 0.42800 0.30367 0.22108 0.16448 0.12458 0.09575 0.07445 0.05839 0.04605 0.03638 0.02868 0.02241 0.01718 0.01266 0.00846 0.00300 0

3.98163 2.45069 1.47885 0.94012 0.62443 0.54997 0.43040 0.30610 0.22357 0.16701 0.12717 0.09841 0.07717 0.06118 0.04892 0.03936 0.03177 0.02563 0.02058 0.01629 0.01243 0.00797 0.00615

−358.10 −343.79 −326.90 −309.79 −292.50 −286.74 −275.05 −257.45 −239.66 −221.65 −203.40 −184.86 −165.97 −146.65 −126.82 −106.35 −85.06 −62.67 −38.75 −12.43 18.47 69.10 101.46

496.59 488.62 478.96 468.89 458.41 454.85 447.48 436.02 423.97 411.25 397.77 383.42 368.06 351.53 333.61 314.01 292.30 267.81 239.47 205.16 159.49 67.01 0

138.49 144.83 152.06 159.11 165.91 168.10 172.42 178.57 184.32 189.60 194.37 198.56 202.09 204.88 206.79 207.66 207.24 205.14 200.72 192.73 177.96 136.11 101.46

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SI UNITS: THERMODYNAMIC TABLES

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TABLE B.7.1 Saturated Methane (continued )

Enthalpy, kJ/kg

Entropy, kJ/kg-K

Temp. (K)

P (kPa)

hf

hf g

hg

sf

sf g

sg

90.7 95 100 105 110 111.7 115 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190 190.6

11.7 19.8 34.4 56.4 88.2 101.3 132.3 191.6 269.0 367.6 490.7 641.6 823.7 1040.5 1295.6 1592.8 1935.9 2329.3 2777.6 3286.4 3863.2 4520.5 4599.2

−358.07 −343.75 −326.83 −309.66 −292.29 −286.50 −274.74 −256.98 −238.99 −220.72 −202.13 −183.16 −163.73 −143.74 −123.09 −101.61 −79.08 −55.17 −29.33 −0.53 33.83 91.56 129.74

543.12 537.18 529.77 521.82 513.29 510.33 504.12 494.20 483.44 471.72 458.90 444.85 429.38 412.29 393.27 371.96 347.82 320.02 287.20 246.77 192.16 80.58 0

185.05 193.43 202.94 212.16 221.00 223.83 229.38 237.23 244.45 251.00 256.77 261.69 265.66 268.54 270.18 270.35 268.74 264.85 257.87 246.25 226.00 172.14 129.74

4.2264 4.3805 4.5538 4.7208 4.8817 4.9336 5.0368 5.1867 5.3321 5.4734 5.6113 5.7464 5.8794 6.0108 6.1415 6.2724 6.4046 6.5399 6.6811 6.8333 7.0095 7.3015 7.4999

5.9891 5.6545 5.2977 4.9697 4.6663 4.5706 4.3836 4.1184 3.8675 3.6286 3.3993 3.1775 2.9613 2.7486 2.5372 2.3248 2.1080 1.8824 1.6411 1.3710 1.0387 0.4241 0

10.2155 10.0350 9.8514 9.6905 9.5480 9.5042 9.4205 9.3051 9.1996 9.1020 9.0106 8.9239 8.8406 8.7594 8.6787 8.5971 8.5126 8.4224 8.3223 8.2043 8.0483 7.7256 7.4999

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APPENDIX B

April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.7.2 Superheated Methane

Temp. (K)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

100 kPa (111.50 K) Sat. 125 150 175 200 225 250 275 300 325 350 375 400 425

0.55665 0.63126 0.76586 0.89840 1.02994 1.16092 1.29154 1.42193 1.55215 1.68225 1.81226 1.94220 2.07209 2.20193

167.90 190.21 230.18 269.72 309.20 348.90 389.12 430.17 472.36 516.00 561.34 608.58 657.89 709.36

223.56 253.33 306.77 359.56 412.19 464.99 518.27 572.36 627.58 684.23 742.57 802.80 865.10 929.55

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

200 kPa (120.61 K) 9.5084 9.7606 10.1504 10.4759 10.7570 11.0058 11.2303 11.4365 11.6286 11.8100 11.9829 12.1491 12.3099 12.4661

0.29422 0.30695 0.37700 0.44486 0.51165 0.57786 0.64370 0.70931 0.77475 0.84008 0.90530 0.97046 1.03557 1.10062

179.30 186.80 227.91 268.05 307.88 347.81 388.19 429.36 471.65 515.37 560.77 608.07 657.41 708.92

238.14 248.19 303.31 357.02 410.21 463.38 516.93 571.22 626.60 683.38 741.83 802.16 864.53 929.05

9.2918 9.3736 9.7759 10.1071 10.3912 10.6417 10.8674 11.0743 11.2670 11.4488 11.6220 11.7885 11.9495 12.1059

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TABLE B.7.2 Superheated Methane (continued )

Temp. (K)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

400 kPa (131.42 K) Sat. 150 175 200 225 250 275 300 325 350 375 400 425 450 475 500 525

0.15427 0.18233 0.21799 0.25246 0.28631 0.31978 0.35301 0.38606 0.41899 0.45183 0.48460 0.51731 0.54997 0.58260 0.61520 0.64778 0.68033

191.01 223.16 264.61 305.19 345.61 386.32 427.74 470.23 514.10 559.63 607.03 656.47 708.05 761.85 817.89 876.18 936.67

252.72 296.09 351.81 406.18 460.13 514.23 568.94 624.65 681.69 740.36 800.87 863.39 928.04 994.89 1063.97 1135.29 1208.81

0.07941 0.08434 0.10433 0.12278 0.14050 0.15781 0.17485 0.19172 0.20845 0.22510 0.24167 0.25818 0.27465 0.29109 0.30749 0.32387 0.34023 0.35657

201.70 212.53 257.30 299.62 341.10 382.53 424.47 467.36 511.55 557.33 604.95 654.57 706.31 760.24 816.40 874.79 935.38 998.14

265.23 280.00 340.76 397.85 453.50 508.78 564.35 620.73 678.31 737.41 798.28 861.12 926.03 993.11 1062.40 1133.89 1207.56 1283.45

h (kJ/kg)

s (kJ/kg-K)

600 kPa (138.72 K) 9.0754 9.3843 9.7280 10.0185 10.2726 10.5007 10.7092 10.9031 11.0857 11.2595 11.4265 11.5879 11.7446 11.8974 12.0468 12.1931 12.3366

0.10496 0.11717 0.14227 0.16603 0.18911 0.21180 0.23424 0.25650 0.27863 0.30067 0.32264 0.34456 0.36643 0.38826 0.41006 0.43184 0.45360

800 kPa (144.40 K) Sat. 150 175 200 225 250 275 300 325 350 375 400 425 450 475 500 525 550

u (kJ/kg)

197.54 218.08 261.03 302.44 343.37 384.44 426.11 468.80 512.82 558.48 605.99 655.52 707.18 761.05 817.15 875.48 936.03

260.51 288.38 346.39 402.06 456.84 511.52 566.66 622.69 680.00 738.88 799.57 862.25 927.04 994.00 1063.18 1134.59 1208.18

8.9458 9.1390 9.4970 9.7944 10.0525 10.2830 10.4931 10.6882 10.8716 11.0461 11.2136 11.3754 11.5324 11.6855 11.8351 11.9816 12.1252

1000 kPa (149.13 K) 8.8505 8.9509 9.3260 9.6310 9.8932 10.1262 10.3381 10.5343 10.7186 10.8938 11.0617 11.2239 11.3813 11.5346 11.6845 11.8311 11.9749 12.1161

0.06367 0.06434 0.08149 0.09681 0.11132 0.12541 0.13922 0.15285 0.16635 0.17976 0.19309 0.20636 0.21959 0.23279 0.24595 0.25909 0.27221 0.28531

204.45 206.28 253.38 296.73 338.79 380.61 422.82 465.91 510.26 556.18 603.91 653.62 705.44 759.44 815.66 874.10 934.73 997.53

268.12 270.62 334.87 393.53 450.11 506.01 562.04 618.76 676.61 735.94 797.00 859.98 925.03 992.23 1061.61 1133.19 1206.95 1282.84

8.7735 8.7902 9.1871 9.5006 9.7672 10.0028 10.2164 10.4138 10.5990 10.7748 10.9433 11.1059 11.2636 11.4172 11.5672 11.7141 11.8580 11.9992

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April 19, 2017

SI UNITS: THERMODYNAMIC TABLES

TABLE B.7.2 Superheated Methane (continued )

Temp. (K)

v (m3 /kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3 /kg)

1500 kPa (158.52 K) Sat. 175 200 225 250 275 300 325 350 375 400 425 450 475 500 525 550

0.04196 0.05078 0.06209 0.07239 0.08220 0.09171 0.10103 0.11022 0.11931 0.12832 0.13728 0.14619 0.15506 0.16391 0.17273 0.18152 0.19031

207.53 242.64 289.13 332.85 375.70 418.65 462.27 507.04 553.30 601.30 651.24 703.26 757.43 813.80 872.37 933.12 996.02

270.47 318.81 382.26 441.44 499.00 556.21 613.82 672.37 732.26 793.78 857.16 922.54 990.02 1059.66 1131.46 1205.41 1281.48

0.01160 0.01763 0.02347 0.02814 0.03235 0.03631 0.04011 0.04381 0.04742 0.05097 0.05448 0.05795 0.06139 0.06481 0.06820 0.07158 0.07495

172.96 237.70 298.52 349.08 396.67 443.48 490.62 538.70 588.18 639.34 692.38 747.43 804.55 863.78 925.11 988.53 1053.98

219.34 308.23 392.39 461.63 526.07 588.73 651.07 713.93 777.86 843.24 910.31 979.23 1050.12 1123.01 1197.93 1274.86 1353.77

h (kJ/kg)

s (kJ/kg-K)

2000 kPa (165.86 K) 8.6215 8.9121 9.2514 9.5303 9.7730 9.9911 10.1916 10.3790 10.5565 10.7263 10.8899 11.0484 11.2027 11.3532 11.5005 11.6448 11.7864

0.03062 0.03504 0.04463 0.05289 0.06059 0.06796 0.07513 0.08216 0.08909 0.09594 0.10274 0.10949 0.11620 0.12289 0.12955 0.13619 0.14281

4000 kPa (186.10 K) Sat. 200 225 250 275 300 325 350 375 400 425 450 475 500 525 550 575

u (kJ/kg)

207.01 229.90 280.91 326.64 370.67 414.40 458.59 503.80 550.40 598.69 648.87 701.08 755.43 811.94 870.64 931.51 994.51

268.25 299.97 370.17 432.43 491.84 550.31 608.85 668.12 728.58 790.57 854.34 920.06 987.84 1057.72 1129.74 1203.88 1280.13

8.4975 8.6839 9.0596 9.3532 9.6036 9.8266 10.0303 10.2200 10.3992 10.5703 10.7349 10.8942 11.0491 11.2003 11.3480 11.4927 11.6346

8000 kPa 8.0035 8.4675 8.8653 9.1574 9.4031 9.6212 9.8208 10.0071 10.1835 10.3523 10.5149 10.6725 10.8258 10.9753 11.1215 11.2646 11.4049

— 0.00412 0.00846 0.01198 0.01469 0.01705 0.01924 0.02130 0.02328 0.02520 0.02707 0.02891 0.03072 0.03251 0.03428 0.03603 0.03776

— 55.58 217.30 298.05 357.88 411.71 463.52 515.02 567.12 620.38 675.14 731.63 789.99 850.28 912.54 976.77 1042.96

— 88.54 284.98 393.92 475.39 548.15 617.40 685.39 753.34 821.95 891.71 962.92 1035.75 1110.34 1186.74 1264.99 1345.07

— 7.2069 8.1344 8.5954 8.9064 9.1598 9.3815 9.5831 9.7706 9.9477 10.1169 10.2796 10.4372 10.5902 10.7393 10.8849 11.0272

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April 26, 2017

NDIX

Ideal Gas Specific ~ C Heat Three types of energy storage or possession were identified in Section 1.8, of which two, translation and intramolecular energy, are associated with the individual molecules. These comprise the ideal gas model, with the third type, the system intermolecular potential energy, then accounting for the behavior of real (nonideal gas) substances. This appendix deals with the ideal gas contributions. Since these contribute to the energy, and therefore also the enthalpy, they also contribute to the specific heat of each gas. The different possibilities can be grouped according to the intramolecular energy contributions as follows:

C.1 MONATOMIC GASES (INERT GASES AR, HE, NE, XE, KR; ALSO N, O, H, CL, F, …) h = htranslation + helectronic = ht + he dh dh 5 dh = t + e, CP0 = CP0t + CP0e = R + fe (T) dT dT dT 2 where the electronic contribution, fe (T), is usually small, except at very high T (common exceptions are O, Cl, F).

C.2 DIATOMIC AND LINEAR POLYATOMIC GASES (N2 , O2 , CO, OH, …, CO2 , N2 O, …) In addition to translational and electronic contributions to specific heat, these also have molecular rotation (about the center of mass of the molecule) and also (3a − 5) independent modes of molecular vibration of the a atoms in the molecule relative to one another, such that 5 CP0 = CP0t + CP0r + CP0v + CP0e = R + R + fv (T) + fe (T) 2 where the vibrational contribution is ∑

3a−5

fv (T) = R

i=1

[xi2 exi ∕(exi − 1)2 ],

xi =

𝜃i T

and the electronic contribution, fe (T), is usually small, except at very high T (common exceptions are O2 , NO, OH).

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April 26, 2017

IDEAL GAS SPECIFIC HEAT

Example C.1 N2 , 3a − 5 = 1 vibrational mode, with 𝜃 i = 3392 K. At T = 300 K, CP0 = 0.742 + 0.2968 + 0.0005 + ≈0 = 1.0393 kJ∕kg-K. At T = 1000 K, CP0 = 0.742 + 0.2968 + 0.123 + ≈0 = 1.1618 kJ∕kg-K. (an increase of 11.8% from 300 K).

Example C.2 CO2 , 3a − 5 = 4 vibrational modes, with 𝜃 i = 960 K, 960 K, 1993 K, 3380 K At T = 300 K, CP0 = 0.4723 + 0.1889 + 0.1826 + ≈0 = 0.8438 kJ∕kg-K. At T = 1000 K, CP0 = 0.4723 + 0.1889 + 0.5659 + ≈0 = 1.2271 kJ∕kg-K. (an increase of 45.4% from 300 K).

C.3 NONLINEAR POLYATOMIC MOLECULES (H2 O, NH3 , CH4 , C2 H6 , …) Contributions to specific heat are similar to those for linear molecules, except that the rotational contribution is larger and there are (3a − 6) independent vibrational modes, such that 5 3 CP0 = CP0t + Cp0r + CP0v + CP0e = R + R + fv (T) + fe (T) 2 2 where the vibrational contribution is ∑

3a−6

fv (T) = R

[xi2 exi ∕(exi − 1)2 ],

i=1

xi =

𝜃i T

and fe (T) is usually small, except at very high temperatures.

Example C.3 CH4 , 3a − 6 = 9 vibrational modes, with 𝜃 i = 4196 K, 2207 K (two modes), 1879 K (three), 4343 K (three) At T = 300 K, CP0 = 1.2958 + 0.7774 + 0.1527 + ≈0 = 2.2259 kJ∕kg-K. At T = 1000 K, CP0 = 1.2958 + 0.7774 + 2.4022 + ≈0 = 4.4754 kJ∕kg-K. (an increase of 101.1% from 300 K).

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April 14, 2017

NDIX

Equations of State ~

D

Some of the most used pressure-explicit equations of state can be shown in a form with two parameters. This form is known as a cubic equation of state and contains as a special case the ideal-gas law: P=

a RT − 2 v − b v + cbv + db2

where (a, b) are parameters and (c, d ) define the model as shown in the following table with the acentric factor (𝜔) and b = b0 RTc ∕Pc

and

a = a0 R2 Tc2∕Pc

The acentric factor is defined by the saturation pressure at a reduced temperature T r = 0.7 𝜔=−

ln Psat r at Tr = 0.7 −1 ln 10

TABLE D.1 Equations of State

Model

c

Ideal gas van der Waals Redlich–Kwong

0 0 1

Soave Peng–Robinson

d

b0

a0

0 0 0

0 1/8 0.08664

0 27/64 −1∕2 0.42748 Tr

1

0

0.08664

0.42748[1 + f (1 − Tr )]

2

−1

0.0778

0.45724[1 + f (1 − Tr )]

f = 0.48 + 1.574𝜔 − 0.176𝜔2 f = 0.37464 + 1.54226 𝜔 − 0.26992𝜔2

1∕2

2

1∕2

2

for Soave for Peng–Robinson

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APPENDIX D

April 14, 2017

EQUATIONS OF STATE

TABLE D.2 The Lee–Kesler Equation of State

The Lee–Kesler generalized equation of state is

Z=

( ) ( ) ′ Pr vr 𝛾 𝛾 c B C D = 1 + ′ + ′ 2 + ′ 5 + 3 4 ′ 2 𝛽 + ′ 2 exp − ′ 2 Tr vr vr Tr vr vr vr vr

B = b1 −

b b2 b − 3 − 4 Tr Tr2 Tr3

C = c1 −

c c2 + 3 Tr Tr3

D = d1 +

d2 Tr

in which Tr =

′ T P v , Pr = , vr = Tc Pc RTc ∕Pc

The set of constants is as follows: Constant

Simple Fluids

Constant

Simple Fluids

b1 b2 b3 b4 c1 c2

0.118 119 3 0.265 728 0.154 790 0.030 323 0.023 674 4 0.018 698 4

c3 c4 d1 × 104 d2 × 104 𝛽 𝛾

0.0 0.042 724 0.155 488 0.623 689 0.653 92 0.060 167

TABLE D.3 Saturated Liquid–Vapor Compressibilities, Lee–Kesler Simple Fluid

Tr Pr sat Zf Zg

0.40 2.7E-4 6.5E-5 0.999

0.50 4.6E-3 9.5E-4 0.988

0.60 0.028 0.0052 0.957

0.70 0.099 0.017 0.897

0.80 0.252 0.042 0.807

0.85 0.373 0.062 0.747

0.90 0.532 0.090 0.673

0.95 0.737 0.132 0.569

1 1 0.29 0.29

TABLE D.4 Acentric Factor for Some Substances

Substance Ammonia Argon Bromine Helium Neon Nitrogen

NH3 Ar Br2 He Ne N2

𝝎

Substance

0.25 0.001 0.108 −0.365 −0.029 0.039

Water n-Butane Ethane Methane R-32 R-125

𝝎 H2 O C4 H10 C2 H6 CH4 CF2 H2 CHF2 CF3

0.344 0.199 0.099 0.011 0.277 0.305

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FIGURE D.1 Lee–Kesler simple fluid compressibility factor.

EQUATIONS OF STATE

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EQUATIONS OF STATE

FIGURE D.2 Lee–Kesler simple fluid enthalpy departure.

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FIGURE D.3 Lee–Kesler simple fluid entropy departure.

EQUATIONS OF STATE

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NDIX

Figures ~

E

78

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APPENDIX E

FIGURE E.1 Temperature–entropy diagram for water. Keenan, Keyes, Hill, & Moore. STEAM TABLES (International Edition–Metric Units). Copyright © 1969, John Wiley & Sons, Inc.

FIGURES

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APPENDIX E

FIGURES

FIGURE E.2 Pressure–enthalpy diagram for ammonia.

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APPENDIX E

FIGURE E.3 Pressure–enthalpy diagram for oxygen.

FIGURES

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APPENDIX E

FIGURES

FIGURE E.4 Psychrometric chart.

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NDIX

~ E F Tables

April 14, 2017

Additional Thermodynamic

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APPENDIX F

April 19, 2017

ADDITIONAL THERMODYNAMIC TABLES

TABLE F.1

Thermodynamic Properties of R-12 TABLE F.1.1

Saturated R-12

Specific Volume, m3/kg

Internal Energy, kJ/kg

Temp. (°C)

Press. (kPa)

Sat. Liquid vf

Evap. vfg

Sat. Vapor vg

Sat. Liquid uf

Evap. ufg

Sat. Vapor ug

–90 –80 –70 –60 –50 –45 –40 –35 –30 –29.8 –25 –20 –15 –10 –5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 112.0

2.8 6.2 12.3 22.6 39.1 50.4 64.2 80.7 100.4 101.3 123.7 150.9 182.6 219.1 261.0 308.6 362.6 423.3 491.4 567.3 651.6 744.9 847.7 960.7 1084.3 1219.3 1366.3 1525.9 1698.8 1885.8 2087.5 2304.6 2538.0 2788.5 3056.9 3344.1 3650.9 3978.5 4116.8

0.000608 0.000617 0.000627 0.000637 0.000648 0.000654 0.000659 0.000666 0.000672 0.000672 0.000679 0.000685 0.000693 0.000700 0.000708 0.000716 0.000724 0.000733 0.000743 0.000752 0.000763 0.000774 0.000786 0.000798 0.000811 0.000826 0.000841 0.000858 0.000877 0.000897 0.000920 0.000946 0.000976 0.001012 0.001056 0.001113 0.001197 0.001364 0.001792

4.41494 2.13773 1.12665 0.63727 0.38246 0.30203 0.24125 0.19473 0.15870 0.15736 0.13049 0.10816 0.09033 0.07595 0.06426 0.05467 0.04676 0.04018 0.03467 0.03003 0.02609 0.02273 0.01986 0.01737 0.01522 0.01334 0.01170 0.01025 0.00897 0.00783 0.00680 0.00588 0.00503 0.00425 0.00351 0.00279 0.00205 0.00110 0

4.41555 2.13835 1.12728 0.63791 0.38310 0.30268 0.24191 0.19540 0.15937 0.15803 0.13117 0.10885 0.09102 0.07665 0.06496 0.05539 0.04749 0.04091 0.03541 0.03078 0.02685 0.02351 0.02064 0.01817 0.01603 0.01417 0.01254 0.01111 0.00985 0.00873 0.00772 0.00682 0.00600 0.00526 0.00456 0.00390 0.00324 0.00246 0.00179

–43.29 –34.73 –26.14 –17.50 –8.80 –4.43 –0.04 4.37 8.79 8.98 13.24 17.71 22.20 26.72 31.26 35.83 40.43 45.06 49.73 54.45 59.21 64.02 68.88 73.82 78.83 83.93 89.12 94.43 99.87 105.46 111.23 117.21 123.45 130.02 137.01 144.59 153.15 164.12 176.06

177.20 172.54 167.94 163.36 158.76 156.44 154.11 151.77 149.40 149.30 147.01 144.59 142.15 139.67 137.16 134.61 132.01 129.36 126.65 123.87 121.03 118.09 115.06 111.92 108.66 105.24 101.66 97.88 93.86 89.56 84.94 79.90 74.34 68.12 60.98 52.48 41.58 24.08 0

133.91 137.82 141.81 145.86 149.95 152.01 154.07 156.13 158.19 158.28 160.25 162.31 164.35 166.39 168.42 170.44 172.44 174.42 176.38 178.32 180.23 182.11 183.95 185.74 187.49 189.17 190.78 192.31 193.73 195.03 196.17 197.11 197.80 198.14 197.99 197.07 194.73 188.20 176.06

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APPENDIX F

ADDITIONAL THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 85

TABLE F.1.1 (continued)

Saturated R-12

Enthalpy, kJ/kg

Entropy, kJ/kg.K

Temp. (°C)

Press. (kPa)

Sat. Liquid hf

Evap. hfg

Sat. Vapor hg

Sat. Liquid sf

Evap. sfg

Sat. Vapor sg

–90 –80 –70 –60 –50 –45 –40 –35 –30 –29.8 –25 –20 –15 –10 –5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 112.0

2.8 6.2 12.3 22.6 39.1 50.4 64.2 80.7 100.4 101.3 123.7 150.9 182.6 219.1 261.0 308.6 362.6 423.3 491.4 567.3 651.6 744.9 847.7 960.7 1084.3 1219.3 1366.3 1525.9 1698.8 1885.8 2087.5 2304.6 2538.0 2788.5 3056.9 3344.1 3650.9 3978.5 4116.8

–43.28 –34.72 –26.13 –17.49 –8.78 –4.40 0 4.42 8.86 9.05 13.33 17.82 22.33 26.87 31.45 36.05 40.69 45.37 50.10 54.87 59.70 64.59 69.55 74.59 79.71 84.94 90.27 95.74 101.36 107.15 113.15 119.39 125.93 132.84 140.23 148.31 157.52 169.55 183.43

189.75 185.74 181.76 177.77 173.73 171.68 169.59 167.48 165.34 165.24 163.15 160.92 158.64 156.31 153.93 151.48 148.96 146.37 143.68 140.91 138.03 135.03 131.90 128.61 125.16 121.51 117.65 113.52 109.10 104.33 99.14 93.44 87.11 79.96 71.71 61.81 49.05 28.44 0

146.46 151.02 155.64 160.29 164.95 167.28 169.59 171.90 174.20 174.29 176.48 178.74 180.97 183.19 185.37 187.53 189.65 191.74 193.78 195.78 197.73 199.62 201.45 203.20 204.87 206.45 207.92 209.26 210.46 211.48 212.29 212.83 213.04 212.80 211.94 210.12 206.57 197.99 183.43

–0.2086 –0.1631 –0.1198 –0.0783 –0.0384 –0.0190 0 0.0187 0.0371 0.0379 0.0552 0.0731 0.0906 0.1080 0.1251 0.1420 0.1587 0.1752 0.1915 0.2078 0.2239 0.2399 0.2559 0.2718 0.2877 0.3037 0.3197 0.3358 0.3521 0.3686 0.3854 0.4027 0.4204 0.4389 0.4583 0.4793 0.5028 0.5333 0.5689

1.0359 0.9616 0.8947 0.8340 0.7785 0.7524 0.7274 0.7032 0.6799 0.6790 0.6574 0.6356 0.6145 0.5940 0.5740 0.5545 0.5355 0.5169 0.4986 0.4806 0.4629 0.4454 0.4280 0.4107 0.3934 0.3760 0.3585 0.3407 0.3226 0.3040 0.2847 0.2646 0.2432 0.2202 0.1948 0.1656 0.1297 0.0742 0

0.8273 0.7984 0.7749 0.7557 0.7401 0.7334 0.7274 0.7219 0.7170 0.7168 0.7126 0.7087 0.7051 0.7019 0.6991 0.6965 0.6942 0.6921 0.6902 0.6884 0.6868 0.6853 0.6839 0.6825 0.6811 0.6797 0.6782 0.6765 0.6747 0.6726 0.6702 0.6672 0.6636 0.6590 0.6531 0.6449 0.6325 0.6076 0.5689

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APPENDIX F

April 19, 2017

ADDITIONAL THERMODYNAMIC TABLES

TABLE F.1.2

Superheated R-12

Temp. (°C)

v (m3/kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3/kg)

50 kPa (–45.18°C) Sat. –30 –20 –10 0 10 20 30 40 50 60 70 80 90 100 110 120

0.30515 0.32738 0.34186 0.35623 0.37051 0.38472 0.39886 0.41296 0.42701 0.44103 0.45502 0.46898 0.48292 0.49684 0.51074 0.52463 0.53851

151.94 159.18 164.08 169.08 174.18 179.38 184.67 190.06 195.54 201.11 206.76 212.50 218.31 224.21 230.18 236.22 242.33

167.19 175.55 181.17 186.89 192.70 198.61 204.62 210.71 216.89 223.16 229.51 235.95 242.46 249.05 255.71 262.45 269.26

0.08354 0.08861 0.09255 0.09642 0.10023 0.10399 0.10771 0.11140 0.11506 0.11869 0.12230 0.12590 0.12948 0.13305 0.13661 0.14016 0.14370

165.36 172.08 177.51 183.00 188.55 194.17 199.86 205.62 211.45 217.35 223.31 229.34 235.44 241.60 247.82 254.11 260.45

182.07 189.80 196.02 202.28 208.60 214.97 221.41 227.90 234.46 241.09 247.77 254.53 261.34 268.21 275.15 282.14 289.19

h (kJ/kg)

s (kJ/kg-K)

100 kPa (–33.10°C) 0.7336 0.7691 0.7917 0.8139 0.8356 0.8568 0.8776 0.8981 0.9181 0.9378 0.9572 0.9762 0.9949 1.0133 1.0314 1.0493 1.0668

0.15999 0.16006 0.16770 0.17522 0.18265 0.18999 0.19728 0.20451 0.21169 0.21884 0.22596 0.23305 0.24011 0.24716 0.25419 0.26121 0.26821

200 kPa (–12.53°C) Sat. 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150

u (kJ/kg)

158.15 158.20 163.22 168.32 173.50 178.77 184.13 189.57 195.09 200.70 206.39 212.15 218.00 223.91 229.90 235.96 242.09

174.15 174.21 179.99 185.84 191.77 197.77 203.85 210.02 216.26 222.58 228.98 235.46 242.01 248.63 255.32 262.08 268.91

0.7171 0.7174 0.7406 0.7633 0.7854 0.8070 0.8281 0.8488 0.8691 0.8889 0.9084 0.9276 0.9464 0.9649 0.9831 1.0009 1.0185

400 kPa (8.15°C) 0.7035 0.7325 0.7548 0.7766 0.7978 0.8184 0.8387 0.8585 0.8779 0.8969 0.9156 0.9339 0.9519 0.9696 0.9870 1.0042 1.0210

0.04321 –– 0.04363 0.04584 0.04797 0.05005 0.05207 0.05406 0.05601 0.05794 0.05985 0.06173 0.06360 0.06546 0.06730 0.06913 0.07095

173.69 –– 174.76 180.57 186.39 192.23 198.11 204.03 209.99 216.01 222.08 228.20 234.37 240.60 246.89 253.22 259.61

190.97 –– 192.21 198.91 204.58 212.25 218.94 225.65 232.40 239.19 246.02 252.89 259.81 266.79 273.81 280.88 287.99

0.6928 –– 0.6972 0.7204 0.7428 0.7645 0.7855 0.8060 0.8259 0.8454 0.8645 0.8831 0.9015 0.9194 0.9370 0.9544 0.9714

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APPENDIX F

ADDITIONAL THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 87

TABLE F.1.2 (continued)

Superheated R-12

Temp. (°C)

v (m3/kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3/kg)

500 kPa (15.60°C) Sat. 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180

0.03482 0.03746 0.03921 0.04091 0.04257 0.04418 0.04577 0.04734 0.04889 0.05041 0.05193 0.05343 0.05492 0.05640 0.05788 0.05934 0.06080

176.62 185.23 191.20 197.19 203.20 209.24 215.32 221.44 227.61 233.83 240.09 246.41 252.77 259.19 265.65 272.16 278.72

194.03 203.96 210.81 217.64 224.48 231.33 238.21 245.11 252.05 259.03 266.06 273.12 280.23 287.39 294.59 301.83 309.12

0.01132 0.01226 0.01305 0.01377 0.01446 0.01512 0.01575 0.01636 0.01696 0.01754 0.01811 0.01867 0.01922 0.01977 0.02031 0.02084 0.02137

192.08 200.05 207.16 214.11 220.95 227.73 234.47 241.20 247.91 254.63 261.36 268.10 274.87 281.65 288.47 295.31 302.19

209.06 218.44 226.73 234.77 242.65 250.41 258.10 265.74 273.35 280.94 288.52 296.11 303.70 311.31 318.93 326.58 334.24

h (kJ/kg)

s (kJ/kg-K)

1000 kPa (41.64°C) 0.6899 0.7235 0.7457 0.7672 0.7881 0.8083 0.8281 0.8473 0.8662 0.8847 0.9028 0.9205 0.9379 0.9550 0.9718 0.9884 1.0046

0.01744 –– –– 0.01837 0.01941 0.02040 0.02134 0.02225 0.02313 0.02399 0.02483 0.02566 0.02647 0.02728 0.02807 0.02885 0.02963

1500 kPa (59.22°C) Sat. 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220

u (kJ/kg)

186.32 –– –– 191.95 198.56 205.09 211.57 218.03 224.48 230.94 237.41 243.91 250.43 256.98 263.56 270.18 276.84

203.76 –– –– 210.32 217.97 225.49 232.91 240.28 247.61 254.93 262.25 269.57 267.90 284.26 291.63 299.04 306.47

0.6820 –– –– 0.7026 0.7259 0.7481 0.7695 0.7900 0.8100 0.8293 0.8482 0.8665 0.8845 0.9021 0.9193 0.9362 0.9528

2000 kPa (72.88°C) 0.6768 0.7046 0.7284 0.7508 0.7722 0.7928 0.8126 0.8318 0.8504 0.8686 0.8863 0.9036 0.9205 0.9371 0.9534 0.9694 0.9851

0.00813 –– 0.00870 0.00941 0.01003 0.01061 0.01116 0.01168 0.01217 0.01265 0.01312 0.01357 0.01401 0.01445 0.01488 0.01530 0.01572

195.70 –– 201.61 209.41 216.87 224.11 231.21 238.22 245.18 252.10 259.00 265.90 272.79 279.69 286.61 293.54 300.49

211.97 –– 219.02 228.23 236.94 245.34 253.53 261.58 269.53 277.41 285.24 293.04 300.82 308.59 316.36 324.14 331.92

0.6713 –– 0.6914 0.7171 0.7408 0.7630 0.7841 0.8043 0.8238 0.8426 0.8609 0.8787 0.8961 0.9131 0.9297 0.9459 0.9619

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APPENDIX F

April 19, 2017

ADDITIONAL THERMODYNAMIC TABLES

TABLE F.2

Thermodynamic properties of R-22 TABLE F.2.1

Saturated R-22

Specific Volume, m3/kg

Internal Energy, kJ/kg

Temp. (°C)

Press. (kPa)

Sat. Liquid vf

Evap. vfg

Sat. Vapor vg

Sat. Liquid uf

Evap. ufg

Sat. Vapor ug

–70 –65 –60 –55 –50 –45 –40.8 –40 –35 –30 –25 –20 –15 –10 –5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 96.0

20.5 28.0 37.5 49.5 64.4 82.7 101.3 104.9 131.7 163.5 201.0 244.8 295.7 354.3 421.3 497.6 583.8 680.7 789.1 909.9 1043.9 1191.9 1354.8 1533.5 1729.0 1942.3 2174.4 2426.6 2699.9 2995.9 3316.1 3662.3 4036.8 4442.5 4883.5 4969.0

0.000670 0.000676 0.000682 0.000689 0.000695 0.000702 0.000708 0.000709 0.000717 0.000725 0.000733 0.000741 0.000750 0.000759 0.000768 0.000778 0.000789 0.000800 0.000812 0.000824 0.000838 0.000852 0.000867 0.000884 0.000902 0.000922 0.000944 0.000969 0.000997 0.001030 0.001069 0.001118 0.001183 0.001282 0.001521 0.001906

0.94027 0.70480 0.53647 0.41414 0.32386 0.25629 0.21191 0.20504 0.16568 0.13512 0.11113 0.09210 0.07688 0.06458 0.05457 0.04636 0.03957 0.03391 0.02918 0.02518 0.02179 0.01889 0.01640 0.01425 0.01238 0.01075 0.00931 0.00803 0.00689 0.00586 0.00491 0.00403 0.00317 0.00228 0.00103 0

0.94094 0.70547 0.53715 0.41483 0.32456 0.25699 0.21261 0.20575 0.16640 0.13584 0.11186 0.09284 0.07763 0.06534 0.05534 0.04714 0.04036 0.03471 0.02999 0.02600 0.02262 0.01974 0.01727 0.01514 0.01328 0.01167 0.01025 0.00900 0.00789 0.00689 0.00598 0.00515 0.00436 0.00356 0.00255 0.00191

–30.62 –25.68 –20.68 –15.62 –10.50 –5.32 –0.87 –0.07 5.23 10.61 16.04 21.55 27.11 32.74 38.44 44.20 50.03 55.92 61.88 67.92 74.04 80.23 86.53 92.92 99.42 106.06 112.85 119.83 127.04 134.54 142.44 150.92 160.32 171.51 188.93 203.07

230.13 227.21 224.25 221.21 218.11 214.94 212.18 211.68 208.34 204.91 201.39 197.78 194.07 190.25 186.33 182.30 178.15 173.87 169.47 164.92 160.22 155.35 150.30 145.02 139.50 133.70 127.56 121.01 113.94 106.22 97.61 87.71 75.78 59.90 29.89 0

199.51 201.54 203.57 205.59 207.61 209.62 211.31 211.60 213.57 215.52 217.44 219.32 221.18 222.99 224.77 226.50 228.17 229.79 231.35 232.85 234.26 235.59 236.82 237.94 238.93 239.76 240.41 240.84 240.98 240.76 240.05 238.63 236.10 231.41 218.83 203.07

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APPENDIX F

ADDITIONAL THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 89

TABLE F.2.1 (continued)

Saturated R-22

Enthalpy, kJ/kg

Entropy, kJ/kg.K

Temp. (°C)

Press. (kPa)

Sat. Liquid hf

Evap. hfg

Sat. Vapor hg

Sat. Liquid sf

Evap. sfg

Sat. Vapor sg

–70 –65 –60 –55 –50 –45 –40.8 –40 –35 –30 –25 –20 –15 –10 –5 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 96.0

20.5 28.0 37.5 49.5 64.4 82.7 101.3 104.9 131.7 163.5 201.0 244.8 295.7 354.3 421.3 497.6 583.8 680.7 789.1 909.9 1043.9 1191.9 1354.8 1533.5 1729.0 1942.3 2174.4 2426.6 2699.9 2995.9 3316.1 3662.3 4036.8 4442.5 4883.5 4969.0

–30.61 –25.66 –20.65 –15.59 –10.46 –5.26 –0.80 0 5.33 10.73 16.19 21.73 27.33 33.01 38.76 44.59 50.49 56.46 62.52 68.67 74.91 81.25 87.70 94.27 100.98 107.85 114.91 122.18 129.73 137.63 145.99 155.01 165.09 177.20 196.36 212.54

249.43 246.93 244.35 241.70 238.96 236.13 233.65 233.20 230.16 227.00 223.73 220.33 216.80 213.13 209.32 205.36 201.25 196.96 192.49 187.84 182.97 177.87 172.52 166.88 160.91 154.58 147.80 140.50 132.55 123.77 113.90 102.47 88.60 70.04 34.93 0

218.82 221.27 223.70 226.12 228.51 230.87 232.85 233.20 235.48 237.73 239.92 242.06 244.13 246.14 248.09 249.95 251.73 253.42 255.02 256.51 257.88 259.12 260.22 261.15 261.90 262.43 262.71 262.68 262.28 261.40 259.89 257.49 253.69 247.24 231.28 212.54

–0.1401 –0.1161 –0.0924 –0.0689 –0.0457 –0.0227 –0.0034 0 0.0225 0.0449 0.0670 0.0890 0.1107 0.1324 0.1538 0.1751 0.1963 0.2173 0.2382 0.2590 0.2797 0.3004 0.3210 0.3417 0.3624 0.3832 0.4042 0.4255 0.4472 0.4695 0.4927 0.5173 0.5445 0.5767 0.6273 0.6708

1.2277 1.1862 1.1463 1.1079 1.0708 1.0349 1.0053 1.0002 0.9664 0.9335 0.9015 0.8703 0.8398 0.8099 0.7806 0.7518 0.7235 0.6956 0.6680 0.6407 0.6137 0.5867 0.5598 0.5329 0.5058 0.4783 0.4504 0.4217 0.3920 0.3607 0.3272 0.2902 0.2474 0.1929 0.0949 0

1.0876 1.0701 1.0540 1.0390 1.0251 1.0122 1.0019 1.0002 0.9889 0.9784 0.9685 0.9593 0.9505 0.9422 0.9344 0.9269 0.9197 0.9129 0.9062 0.8997 0.8934 0.8871 0.8809 0.8746 0.8682 0.8615 0.8546 0.8472 0.8391 0.8302 0.8198 0.8075 0.7918 0.7695 0.7222 0.6708

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APPENDIX F

April 19, 2017

ADDITIONAL THERMODYNAMIC TABLES

TABLE F.2.2

Superheated R-22

Temp. (°C)

v (m3/kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3/kg)

50 kPa (–54.80°C) Sat. –40 –30 –20 –10 0 10 20 30 40 50 60 70 80 90 100 110

0.41077 0.44063 0.46064 0.48054 0.50036 0.52010 0.53977 0.55939 0.57897 0.59851 0.61801 0.63749 0.65694 0.67636 0.69577 0.71516 0.73454

205.67 212.69 217.57 222.56 227.66 232.87 238.19 243.62 249.17 254.82 260.58 266.44 272.42 278.50 284.68 290.96 297.34

226.21 234.72 240.60 246.59 252.68 258.87 265.18 271.59 278.12 284.74 291.48 298.32 305.26 312.31 319.47 326.72 334.07

0.14727 0.15585 0.16288 0.16982 0.17670 0.18352 0.19028 0.19701 0.20370 0.21036 0.21700 0.22361 0.23020 0.23678 0.24333 0.24988 0.25642

214.74 220.94 226.20 231.55 236.99 242.53 248.17 253.90 259.73 265.67 271.70 277.83 284.05 290.38 296.80 303.32 309.93

236.83 244.32 250.63 257.02 263.50 270.06 276.71 283.45 290.29 297.22 304.25 311.37 318.58 325.90 333.30 340.80 348.39

h (kJ/kg)

s (kJ/kg-K)

100 kPa (–41.03°C) 1.0384 1.0762 1.1008 1.1250 1.1485 1.1717 1.1943 1.2166 1.2385 1.2600 1.2811 1.3020 1.3225 1.3428 1.3627 1.3824 1.4019

0.21525 0.21633 0.22675 0.23706 0.24728 0.25742 0.26748 0.27750 0.28747 0.29739 0.30729 0.31715 0.32699 0.33680 0.37660 0.35637 0.36614

150 kPa (–32.02°C) Sat. –20 –10 0 10 20 30 40 50 60 70 80 90 100 110 120 130

u (kJ/kg)

211.19 211.70 216.68 221.76 226.94 232.21 237.60 243.08 248.67 254.36 260.16 266.06 272.06 278.16 284.37 290.67 297.07

232.72 233.34 239.36 245.47 251.67 257.96 264.35 270.83 277.42 284.10 290.89 297.77 304.76 311.84 319.03 326.31 333.69

1.0026 1.0052 1.0305 1.0551 1.0791 1.1026 1.1256 1.1481 1.1702 1.1919 1.2132 1.2342 1.2548 1.2752 1.2952 1.3150 1.3345

200 kPa (–25.12°C) 0.9826 1.0129 1.0373 1.0612 1.0844 1.1072 1.1295 1.1514 1.1729 1.1940 1.2148 1.2353 1.2554 1.2753 1.2948 1.3142 1.3332

0.11237 0.11520 0.12065 0.12600 0.13129 0.13651 0.14168 0.14681 0.15190 0.15696 0.16200 0.16701 0.17200 0.17697 0.18193 0.18688 0.19181

217.39 220.10 225.44 230.87 236.38 241.97 247.66 253.43 259.31 265.27 271.33 277.49 283.74 290.09 296.53 303.06 309.69

239.87 243.14 249.57 256.07 262.63 269.27 275.99 282.80 289.69 296.66 303.73 310.89 318.14 325.48 332.91 340.44 348.05

0.9688 0.9818 1.0068 1.0310 1.0546 1.0776 1.1002 1.1222 1.1439 1.1652 1.1861 1.2066 1.2269 1.2468 1.2665 1.2858 1.3050

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APPENDIX F

ADDITIONAL THERMODYNAMIC TABLES

⋮ ⋮ ⋮ 91

TABLE F.2.2 (continued)

Superheated R-22

Temp. (°C)

v (m3/kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3/kg)

300 kPa (–14.61°C) Sat. –10 0 10 20 30 40 50 60 70 80 90 100 110 120 130 140

0.07657 0.07834 0.08213 0.08583 0.08947 0.09305 0.09659 0.10009 0.10355 0.10699 0.11040 0.11379 0.11716 0.12052 0.12387 0.12720 0.13052

221.32 223.88 229.47 235.11 240.83 246.62 252.48 258.43 264.47 270.59 276.80 283.10 289.49 295.97 302.54 309.20 315.95

244.29 247.38 254.10 260.86 267.67 274.53 281.46 288.46 295.54 302.69 309.92 317.24 324.64 332.13 339.70 347.36 355.10

0.04692 0.04936 0.05175 0.05408 0.05636 0.05859 0.06079 0.06295 0.06509 0.06721 0.06930 0.07138 0.07345 0.07550 0.07755 0.07958 0.08160

226.55 232.43 238.42 244.44 250.51 256.63 262.82 269.08 275.40 281.81 288.29 294.85 301.19 308.21 315.02 321.90 328.87

250.00 257.11 264.30 271.48 278.69 285.93 293.22 300.55 307.95 315.41 322.94 330.54 338.21 345.96 353.79 361.69 369.67

h (kJ/kg)

s (kJ/kg-K)

400 kPa (–6.52°C) 0.9499 0.9617 0.9868 1.0111 1.0347 1.0577 1.0802 1.1022 1.1238 1.1449 1.1657 1.1861 1.2062 1.2260 1.2455 1.2648 1.2837

0.05817 –– 0.06013 0.06306 0.06591 0.06871 0.07146 0.07416 0.07683 0.07947 0.08209 0.08468 0.08725 0.08981 0.09236 0.09489 0.09741

500 kPa (0.15°C) Sat. 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160

u (kJ/kg)

224.23 –– 228.00 233.80 239.64 245.55 251.51 257.54 263.65 269.84 276.11 282.46 288.89 295.41 302.02 308.71 315.48

247.50 –– 252.05 259.02 266.01 273.03 280.19 287.21 294.39 301.63 308.94 316.33 323.80 331.34 338.96 346.66 354.45

0.9367 –– 0.9536 0.9787 1.0029 1.0265 1.0494 1.0717 1.0936 1.1150 1.1361 1.1567 1.1770 1.1969 1.2165 1.2359 1.2550

600 kPa (5.88°C) 0.9267 0.9522 0.9772 1.0013 1.0247 1.0474 1.0696 1.0913 1.1126 1.1334 1.1539 1.1740 1.1937 1.2132 1.2324 1.2513 1.2699

0.03929 0.04018 0.04228 0.04431 0.04628 0.04820 0.05008 0.05193 0.05375 0.05555 0.05733 0.05909 0.06084 0.06258 0.06430 0.06601 0.06772

228.46 231.00 237.15 243.30 249.48 255.70 261.97 268.30 274.69 281.14 287.67 294.27 300.95 307.71 314.54 321.46 328.45

252.04 255.11 262.52 269.89 277.25 284.62 292.02 299.46 306.94 314.48 322.07 329.73 337.46 345.26 353.12 361.07 369.08

0.9185 0.9295 0.9552 0.9799 1.0038 1.0270 1.0495 1.0715 1.0930 1.1140 1.1347 1.1549 1.1748 1.1944 1.2137 1.2327 1.2514

16:3

WB01856-appb

92

WB01856-ISV-Borgnakke

⋮ ⋮ ⋮

APPENDIX F

April 19, 2017

ADDITIONAL THERMODYNAMIC TABLES

TABLE F.2.2 (continued)

Superheated R-22

Temp. (°C)

v (m3/kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3/kg)

800 kPa (15.47°C) Sat.

0.02958

231.50

20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170

0.03037 0.03203 0.03363 0.03518 0.03667 0.03814 0.03957 0.04097 0.04236 0.04373 0.04508 0.04641 0.04774 0.04905 0.05036 0.05166

234.44 240.91 247.34 253.77 260.21 266.69 273.21 279.79 286.42 293.11 299.86 306.69 313.59 320.56 327.60 334.72

255.16 258.74 266.53 274.24 281.91 289.55 297.20 304.87 312.57 320.30 328.09 335.93 343.82 351.78 359.80 367.89 376.04

0.01960 0.02085 0.02205 0.02319 0.02428 0.02534 0.02636 0.02736 0.02833 0.02929 0.03024 0.03117 0.03208 0.03299 0.03389 0.03479 0.03567

235.66 242.58 249.55 256.43 263.28 270.10 276.94 283.79 290.68 297.61 304.59 311.62 318.71 325.86 333.07 340.35 347.69

259.18 267.60 276.01 284.26 292.42 300.51 308.57 316.62 324.68 332.76 340.87 349.02 357.21 365.45 373.74 382.09 390.50

h (kJ/kg)

s (kJ/kg-K)

1000 kPa (23.42°C) 0.9056

0.02364

233.82

257.46

0.8954

0.9179 0.9440 0.9690 0.9931 1.0164 1.0391 1.0611 1.0826 1.1036 1.1242 1.1444 1.1642 1.1837 1.2029 1.2218 1.2404

–– 0.02460 0.02599 0.02732 0.02860 0.02984 0.03104 0.03221 0.03336 0.03449 0.03561 0.03671 0.03780 0.03887 0.03994 0.04100

–– 238.31 245.05 251.72 258.37 265.02 271.69 278.39 285.12 291.91 298.75 305.65 312.61 319.64 326.74 333.90

–– 262.91 271.04 279.05 286.97 294.86 302.73 310.60 318.49 326.41 334.36 342.36 350.41 358.51 366.68 374.90

–– 0.9136 0.9400 0.9651 0.9893 1.0126 1.0352 1.0572 1.0786 1.0996 1.1200 1.1401 1.1599 1.1792 1.1983 1.2171

1200 kPa (30.26°C) Sat. 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190

u (kJ/kg)

1400 kPa (36.31°C) 0.8868 0.9141 0.9405 0.9657 0.9898 1.0131 1.0356 1.0574 1.0788 1.0996 1.1199 1.1399 1.1595 1.1787 1.1977 1.2163 1.2346

0.01668 0.01712 0.01825 0.01930 0.02029 0.02125 0.02217 0.02306 0.02393 0.02477 0.02561 0.02643 0.02723 0.02803 0.02882 0.02960 0.03037

237.12 239.89 247.22 254.38 261.45 268.45 275.44 282.42 289.42 296.44 303.50 310.61 317.76 324.97 332.23 339.55 346.94

260.48 263.86 272.77 281.40 289.86 298.20 306.47 314.70 322.92 331.13 339.35 347.60 355.89 364.21 372.57 380.99 389.45

0.8792 0.8901 0.9181 0.9444 0.9694 0.9934 1.0165 1.0388 1.0606 1.0817 1.1024 1.1226 1.1424 1.1618 1.1809 1.1997 1.2182

16:3

WB01856-appb

WB01856-ISV-Borgnakke

April 19, 2017

APPENDIX F

ADDITIONAL THERMODYNAMIC TABLES

TABLE F.2.2 (continued)

Superheated R-22

Temp. (°C)

v (m3/kg)

u (kJ/kg)

h (kJ/kg)

s (kJ/kg-K)

v (m3/kg)

1600 kPa (41.75°C) Sat. 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200

0.01446 0.01535 0.01635 0.01728 0.01817 0.01901 0.01983 0.02061 0.02138 0.02213 0.02287 0.02359 0.02430 0.02501 0.02570 0.02639 0.02707

238.30 244.70 252.20 259.52 266.73 273.88 281.00 288.12 295.25 302.39 309.57 316.79 324.06 331.37 338.74 346.17 353.66

261.43 269.26 278.36 287.17 295.80 307.30 312.73 321.10 329.46 337.81 346.16 354.54 362.95 371.39 379.87 388.40 396.97

0.00688 0.00775 0.00847 0.00910 0.00967 0.01021 0.01072 0.01120 0.01166 0.01211 0.01255 0.01298 0.01339 0.01380 0.01420 0.01460 0.01499

240.75 251.29 260.65 269.37 277.72 285.84 293.80 301.67 309.47 317.24 325.00 332.75 340.52 348.31 356.12 363.98 371.87

261.38 274.53 286.04 296.66 306.74 316.47 325.96 335.27 344.47 353.58 362.65 371.68 380.70 389.71 398.73 407.77 416.83

h (kJ/kg)

s (kJ/kg-K)

2000 kPa (51.28°C) 0.8724 0.8969 0.9246 0.9507 0.9755 0.9992 1.0221 1.0442 1.0658 1.0867 1.1072 1.1272 1.1469 1.1661 1.1851 1.2037 1.2220

0.01129 –– 0.01213 0.01301 0.01381 0.01456 0.01528 0.01596 0.01662 0.01726 0.01788 0.01849 0.01909 0.01967 0.02025 0.02082 0.02138

3000 kPa (70.09°C) Sat. 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230

u (kJ/kg)

239.95 –– 147.29 255.29 263.02 270.57 278.02 285.40 292.75 300.09 307.44 314.80 322.19 329.62 337.09 344.61 352.17

262.53 –– 271.56 281.31 290.64 299.70 308.57 317.32 325.99 334.61 343.20 351.78 360.37 368.97 377.60 386.25 394.94

0.8598 –– 0.8873 0.9161 0.9429 0.9682 0.9923 1.0155 1.0378 1.0594 1.0805 1.1010 1.1211 1.1407 1.1600 1.1788 1.1974

4000 kPa (84.53°C) 0.8300 0.8678 0.9000 0.9288 0.9555 0.9805 1.0044 1.0272 1.0492 1.0705 1.0912 1.1113 1.1310 1.1502 1.1691 1.1876 1.2058

0.00443 –– 0.00504 0.00580 0.00641 0.00692 0.00739 0.00782 0.00823 0.00861 0.00898 0.00933 0.00968 0.01001 0.01033 0.01065 0.01097

236.40 –– 245.48 257.78 268.13 277.58 286.52 295.14 303.54 311.81 319.97 328.08 336.15 344.20 352.25 360.31 368.38

254.13 –– 265.63 281.00 293.75 305.27 316.08 326.42 336.45 346.25 355.89 365.41 374.85 384.24 393.59 402.93 412.25

0.7935 –– 0.8254 0.8672 0.9009 0.9306 0.9578 0.9831 1.0071 1.0300 1.0520 1.0732 1.0939 1.1139 1.1335 1.1526 1.1713

⋮ ⋮ ⋮ 93

16:3