UNITED STATES MILITARY ACADEMY WEST POINT, NEW YORK Thermal-Fluid Systems References Department of Civil and Mechanical Engineering NOTE This Reference Manual is divided into two major sections. Section 1: SI Units Tables in SI Units (page T-1 to T-33) Figures in SI Units (page F-1 to F-3) Section 2: English Units Tables in English Units (page TE-1 to TE-31) Figures in English Units (page FE-1 to FE-2) Section 1 List of Tables (SI Units) Table Title / Page 1 Molecular Weights and Critical Properties of Selected Substances T-1 2 Physical Properties of Water T-2 3 Physical Properties of Air at Standard Atmospheric Pressure T-3 4 Approximate Physical Properties of Some Common Liquids T-4 5 Approximate Physical Properties of Some Common Gases at Standard Atmospheric Pressure T-4 6 Properties of the U.S. Standard Atmosphere T-5 7 Ideal Gas Specific Heats of Some Common Gases T-6 8 Ideal Gas Properties of Air T-7 9 Ideal Gas Properties of Selected Gases T-9 10 Properties of Saturated Water (Liquid-Vapor): Temperature Table T-15 11 Properties of Saturated Water (Liquid-Vapor): Pressure [kPa] Table T-17 12 Properties of Superheated Water T-19 13 Properties of Compressed Liquid Water T-23 14 Properties of Saturated Refrigerant 134a (Liquid-Vapor): Temperature Table T-24 15 Properties of Saturated Refrigerant 134a (Liquid-Vapor): Pressure Table T-25 16 Properties of Superheated Refrigerant 134a Vapor T-26 17 Thermochemical Properties of Selected Substances at 298 K and 1 atm T-29 18 Isentropic Flow Functions (1-D flow, ideal gas, constant specific heat, k = 1.4) T-30 19 Normal Shock Flow Functions (1-D flow, ideal gas, constant specific heat, k = 1.4) T-33 Table 1. Molecular Weights and Critical Properties of Selected Substances Formula Molecular Weight (M) [kg/kmol] Critical Temperature (TC) [K] Critical Pressure (PC) [MPa] C2H2 26.04 309 6.28 28.97 133 3.77 NH3 17.03 406 11.28 Ar 39.94 151 4.86 Benzene C6H6 78.11 563 4.93 Butane C4H10 58.12 425 3.80 Carbon C 12.01 Carbon Dioxide CO2 44.01 304 7.39 Carbon Monoxide CO 28.01 133 3.50 C2H6 30.07 305 4.88 C2H5OH 46.07 516 6.38 Ethylene C2H4 28.05 283 5.12 Helium He 4.003 5.2 0.23 Hydrogen H2 2.016 33.2 1.30 Methane CH4 16.04 191 4.64 CH3OH 32.04 513 7.95 N2 28.01 126 3.39 Octane C8H18 114.22 569 2.49 Oxygen O2 32.00 154 5.05 Propane C3H8 44.09 370 4.27 Propylene (Propene) C3H6 42.08 365 4.62 Water H2O 18.02 647.3 22.09 Substance Acetylene Air Ammonia Argon Ethane Ethyl Alcohol (Ethanol) Methyl Alcohol (Methanol) Nitrogen Sources: Formulas and Molecular Weights from Handbook of Chemistry and Physics, 84th Ed., CRC Press, Boca Raton, Florida, 2003. Critical Properties adapted from International Critical Tables. T-1 Table 2. Physical Properties of Water Temperature T [oC] Density Specific Weight Dynamic Viscosity Kinematic Viscosity Surface Tension [kg/m3] [kN/m3] [(N∙s)/m2] [m2/s] [N/m] 0 999.8 9.805 1.793 × 10–3 1.793 × 10–6 7.56 × 10–2 5 1000.0 9.807 1.550 × 10–3 1.550 × 10–6 7.49 × 10–2 10 999.7 9.804 1.307 × 10–3 1.307 × 10–6 7.42 × 10–2 20 998.2 9.789 1.002 × 10–3 1.004 × 10–6 7.28 × 10–2 30 995.7 9.765 7.977 × 10–4 8.011 × 10–7 7.12 × 10–2 40 992.2 9.731 6.532 × 10–4 6.583 × 10–7 6.96 × 10–2 50 988.0 9.689 5.470 × 10–4 5.536 × 10–7 6.79 × 10–2 60 983.2 9.642 4.665 × 10–4 4.745 × 10–7 6.62 × 10–2 70 977.8 9.589 4.040 × 10–4 4.132 × 10–7 6.44 × 10–2 80 971.8 9.530 3.547 × 10–4 3.650 × 10–7 6.27 × 10–2 90 965.4 9.468 3.147 × 10–4 3.260 × 10–7 6.08 × 10–2 100 958.4 9.399 2.818 × 10–4 2.940 × 10–7 5.89 × 10–2 ρ γ µ ν Source: Handbook of Chemistry and Physics, 84th Ed., CRC Press, Boca Raton, Florida, 2003. - Surface Tension values for contact with air. - Specific weight computed by γ = ρg. For this table, g = 9.807 m/s2. - Kinematic Viscosity computed by ν = µ/ρ. T-2 σ Table 3. Physical Properties of Air at Standard Atmospheric Pressure Temperature T [oC] Density Specific Weight Dynamic Viscosity Kinematic Viscosity [kg/m3] [N/m3] [(N∙s)/m2] [m2/s] –40 1.514 14.85 1.57 × 10–5 1.04 × 10–5 –20 1.395 13.68 1.63 × 10–5 1.17 × 10–5 0 1.292 12.67 1.71 × 10–5 1.32 × 10–5 5 1.269 12.45 1.73 × 10–5 1.36 × 10–5 10 1.247 12.23 1.76 × 10–5 1.41 × 10–5 15 1.225 12.01 1.80 × 10–5 1.47 × 10–5 20 1.204 11.81 1.82 × 10–5 1.51 × 10–5 25 1.184 11.61 1.85 × 10–5 1.56 × 10–5 30 1.165 11.43 1.86 × 10–5 1.60 × 10–5 40 1.127 11.05 1.87 × 10–5 1.66 × 10–5 50 1.109 10.88 1.95 × 10–5 1.76 × 10–5 60 1.060 10.40 1.97 × 10–5 1.86 × 10–5 70 1.029 10.09 2.03 × 10–5 1.97 × 10–5 80 0.9996 9.803 2.07 × 10–5 2.07 × 10–5 90 0.9721 9.533 2.14 × 10–5 2.20 × 10–5 100 0.9461 9.278 2.17 × 10–5 2.29 × 10–5 200 0.7461 7.317 2.53 × 10–5 3.39 × 10–5 300 0.6159 6.040 2.98 × 10–5 4.84 × 10–5 400 0.5243 5.142 3.32 × 10–5 6.34 × 10–5 500 0.4565 4.477 3.64 × 10–5 7.97 × 10–5 600 0.4042 3.964 3.94 × 10–5 9.75 × 10–5 700 0.3627 3.557 4.24 × 10–5 1.17 × 10–4 800 0.3289 3.226 4.51 × 10–5 1.37 × 10–4 900 0.3009 2.951 4.78 × 10–5 1.59 × 10–4 1000 0.2772 2.719 5.04 × 10–5 1.82 × 10–4 ρ γ µ ν Source: Density and kinematic viscosity based on data from R. D. Blevins, Applied Fluid Dynamics Handbook, Van Nostrand Reinhold Co., Inc., New York, 1984. - Specific weight computed by γ = ρg. For this table, g = 9.807 m/s2. - Dynamic Viscosity computed by µ = νρ. T-3 Table 4. Approximate Physical Properties of Some Common Liquids Density Specific Weight Dynamic Viscosity Kinematic Viscosity Surface Tension1 Liquid Temperature T [oC] [kg/m3] [kN/m3] [(N∙s)/m2] [m2/s] Ethyl alcohol 20 789 7.74 1.19 × 10–3 Gasoline3 15.6 680 6.67 Glycerin 20 1,260 Mercury 20 SAE 30 oil3 [N/m] Vapor Pressure Pv [N/m2](abs) Bulk Modulus2 Ev [N/m2] 1.51 × 10–6 2.28 × 10–2 5.9 × 103 1.06 × 109 3.1 × 10–4 4.6 × 10–7 2.2 × 10–2 5.5 × 104 1.3 × 109 12.4 1.50 1.19 × 10–3 6.33 × 10–2 1.4 × 10–2 4.52 × 109 13,600 133 1.57 × 10–3 1.15 × 10–7 4.66 × 10–1 1.6 × 10–1 2.85 × 1010 15.6 912 8.95 3.8 × 10–1 4.2 × 10–4 3.6 × 10–2 -- 1.5 × 109 Seawater 15.6 1,030 10.1 1.20 × 10–3 1.17 × 10–6 7.34 × 10–2 1.77 × 103 2.34 × 109 Water 15.6 999 9.80 1.12 × 10–3 1.12 × 10–6 7.34 × 10–2 1.77 × 103 2.15 × 109 ρ µ γ ν σ 1 In contact with air. Isentropic bulk modulus calculated from speed of sound. 3 Typical values. Properties of petroleum products vary. 2 Source: B. R. Munson, D. F. Young, T. H. Okiishi, and W. W. Huebsch, Fundamentals of Fluid Mechanics, 6th Ed., John Wiley & Sons, Inc., New York, 2009. This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. Table 5. Approximate Physical Properties of Some Common Gases at Standard Atmospheric Pressure Density Specific Weight Dynamic Viscosity Kinematic Viscosity Gas Temperature T [oC] [kg/m3] [N/m3] [(N∙s)/m2] [m2/s] Air (standard) 15 1.23 12.0 1.79 × 10–5 1.46 × 10–5 Carbon dioxide 20 1.83 18.0 1.47 × 10–5 8.03 × 10–6 Helium 20 0.166 1.63 1.94 × 10–5 1.15 × 10–4 Hydrogen 20 0.0838 0.822 8.84 × 10–6 1.05 × 10–4 Methane (natural gas) 20 0.667 6.54 1.10 × 10–5 1.65 × 10–5 Nitrogen 20 1.16 11.4 1.76 × 10–5 1.52 × 10–5 Oxygen 20 1.33 13.0 2.04 × 10–5 1.53 × 10–5 ρ γ µ ν Source: B. R. Munson, D. F. Young, T. H. Okiishi, and W. W. Huebsch, Fundamentals of Fluid Mechanics, 6th Ed., John Wiley & Sons, Inc., New York, 2009. This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. T-4 Table 6. Properties of the U.S. Standard Atmosphere Acceleration of Gravity g [m/s2] Pressure P [N/m2 (abs)] Density Dynamic Viscosity Altitude [m] Temperature T [oC] [kg/m3] [(N∙s)/m2] –1,000 21.501 9.8097 1.139 × 105 1.347 1.821 × 10–5 0 15.000 9.8066 1.013 × 105 1.225 1.789 × 10–5 1,000 8.501 9.8036 8.988 × 104 1.112 1.758 × 10–5 2,000 2.004 9.8005 7.950 × 104 1.007 1.726 × 10–5 3,000 –4.491 9.7974 7.012 × 104 0.9093 1.694 × 10–5 4,000 –10.984 9.7943 6.166 × 104 0.8194 1.661 × 10–5 5,000 –17.474 9.7912 5.405 × 104 0.7364 1.628 × 10–5 6,000 –23.963 9.7882 4.722 × 104 0.6601 1.595 × 10–5 7,000 –30.450 9.7851 4.111 × 104 0.5900 1.561 × 10–5 8,000 –36.935 9.7820 3.565 × 104 0.5258 1.527 × 10–5 9,000 –43.417 9.7789 3.080 × 104 0.4671 1.493 × 10–5 10,000 –49.898 9.7759 2.650 × 104 0.4135 1.458 × 10–5 15,000 –56.500 9.7605 1.211 × 104 0.1948 1.422 × 10–5 20,000 –56.500 9.7452 5.529 × 103 0.08891 1.422 × 10–5 25,000 –51.598 9.7300 2.549 × 103 0.04008 1.448 × 10–5 30,000 –46.641 9.7147 1.197 × 103 0.01841 1.475 × 10–5 40,000 –22.800 9.6844 2.871 × 102 0.003996 1.601 × 10–5 ρ Source: Data abridged from U.S. Standard Atmosphere, 1976, U.S. Government Printing Office, Washington, D.C. T-5 µ Table 7. Ideal Gas Specific Heats of Some Common Gases Temp. [K] 250 300 350 400 450 500 550 600 650 700 750 800 850 900 950 1000 Temp. [K] 250 300 350 400 450 500 550 600 650 700 750 800 850 900 950 1000 cP cv [kJ/(kg∙K)] [kJ/(kg∙K)] 1.003 1.005 1.008 1.013 1.021 1.029 1.040 1.051 1.063 1.075 1.087 1.099 1.110 1.121 1.131 1.141 Air 0.716 0.718 0.721 0.726 0.734 0.742 0.753 0.764 0.776 0.788 0.800 0.812 0.823 0.834 0.844 0.854 cP cv [kJ/(kg∙K)] [kJ/(kg∙K)] Hydrogen (H2) 14.051 9.927 14.307 10.183 14.427 10.302 14.476 10.352 14.501 10.377 14.513 10.389 14.530 10.405 14.546 10.422 14.571 10.447 14.604 10.480 14.645 10.521 14.695 10.570 14.756 10.632 14.822 10.698 14.901 10.777 14.983 10.859 k 1.401 1.400 1.398 1.395 1.391 1.387 1.381 1.376 1.370 1.364 1.359 1.354 1.349 1.344 1.340 1.336 k 1.415 1.405 1.400 1.398 1.397 1.397 1.396 1.396 1.395 1.394 1.392 1.390 1.388 1.386 1.383 1.380 cP cv [kJ/(kg∙K)] [kJ/(kg∙K)] k Carbon Dioxide (CO2) 0.791 0.603 1.314 0.846 0.657 1.288 0.895 0.706 1.268 0.939 0.750 1.252 0.978 0.790 1.239 1.014 0.825 1.229 1.046 0.857 1.220 1.075 0.886 1.213 1.102 0.913 1.207 1.126 0.937 1.202 1.148 0.959 1.197 1.169 0.980 1.193 1.187 0.998 1.189 1.204 1.015 1.186 1.220 1.031 1.183 1.234 1.045 1.181 cP cv [kJ/(kg∙K)] [kJ/(kg∙K)] 1.039 1.040 1.041 1.044 1.049 1.056 1.065 1.075 1.086 1.098 1.110 1.122 1.134 1.145 1.157 1.167 Nitrogen (N2) 0.742 0.743 0.744 0.747 0.752 0.759 0.768 0.778 0.789 0.801 0.813 0.825 0.837 0.849 0.860 0.870 k 1.400 1.400 1.399 1.397 1.395 1.391 1.387 1.381 1.376 1.371 1.365 1.360 1.355 1.350 1.345 1.341 cP cv [kJ/(kg∙K)] [kJ/(kg∙K)] k Carbon Monoxide (CO) 1.040 0.743 1.400 1.040 0.744 1.399 1.043 0.746 1.398 1.048 0.751 1.395 1.054 0.758 1.392 1.064 0.767 1.387 1.075 0.778 1.382 1.087 0.790 1.376 1.100 0.803 1.370 1.113 0.816 1.364 1.126 0.829 1.358 1.139 0.842 1.352 1.151 0.854 1.347 1.163 0.866 1.343 1.174 0.877 1.338 1.185 0.888 1.334 cP cv [kJ/(kg∙K)] [kJ/(kg∙K)] 0.913 0.918 0.928 0.941 0.956 0.972 0.988 1.003 1.017 1.031 1.043 1.054 1.065 1.074 1.082 1.090 Oxygen (O2) 0.653 0.659 0.668 0.681 0.696 0.712 0.728 0.743 0.758 0.771 0.783 0.794 0.805 0.814 0.822 0.830 k 1.398 1.395 1.389 1.382 1.373 1.365 1.357 1.350 1.343 1.337 1.332 1.327 1.323 1.319 1.316 1.313 Temp. [K] 250 300 350 400 450 500 550 600 650 700 750 800 850 900 950 1000 Temp. [K] 250 300 350 400 450 500 550 600 650 700 750 800 850 900 950 1000 Source: Values for cP determined from data available in Tables of Thermal Properties of Gases by Joseph Hilsenrath, Charles W. Beckett, William S. Benedict, Lilla Fano, Harold J. Hoge, Joseph F. Masi, Ralph L. Nuttall, Yeram S. Touloukian, and Harold W. Woolley, National Bureau of Standards Circular 564, U.S. Government Printing Office, Washington 25, D.C., issued November 1, 1955. - Values for cv determined from cv = cP – R. - Values for k determined from k = cP/cv. T-6 Table 8. Ideal Gas Properties of Air when ∆s = 0 Pr vr T [K] h [kJ/kg] u [kJ/kg] so [kJ/(kg∙K)] 200 199.97 142.56 1.29559 0.3363 210 209.97 149.69 1.34444 220 219.97 156.82 1.39105 230 230.02 164.00 240 240.02 250 260 when ∆s = 0 Pr vr T [K] h [kJ/kg] u [kJ/kg] so [kJ/(kg∙K)] 1707 560 565.17 404.42 2.33685 0.3987 1512 570 575.59 411.97 2.35531 13.50 121.2 0.4690 1346 580 586.04 419.55 2.37348 14.38 115.7 1.43557 0.5477 1205 590 596.52 427.15 2.39140 15.31 110.6 171.13 1.47824 0.6355 1084 600 607.02 434.78 2.40902 16.28 105.8 250.05 178.28 1.51917 0.7329 979 610 617.53 442.42 2.42644 17.30 101.2 260.09 185.45 1.55848 0.8405 887.8 620 628.07 450.09 2.44356 18.36 96.92 270 270.11 192.60 1.59634 0.9590 808.0 630 638.63 457.78 2.46048 19.84 92.84 280 280.13 199.75 1.63279 1.0889 738.0 640 649.22 465.50 2.47716 20.64 88.99 285 285.14 203.33 1.65055 1.1584 706.1 650 659.84 473.25 2.49364 21.86 85.34 290 290.16 206.91 1.66802 1.2311 676.1 660 670.47 481.01 2.50985 23.13 81.89 295 295.17 210.49 1.68515 1.3068 647.9 670 681.14 488.81 2.52589 24.46 78.61 300 300.19 214.07 1.70203 1.3860 621.2 680 691.82 496.62 2.54175 25.85 75.50 305 305.22 217.67 1.71865 1.4686 596.0 690 702.52 504.45 2.55731 27.29 72.56 310 310.24 221.25 1.73498 1.5546 572.3 700 713.27 512.33 2.57277 28.80 69.76 315 315.27 224.85 1.75106 1.6442 549.8 710 724.04 520.23 2.58810 30.38 67.07 320 320.29 228.42 1.76690 1.7375 528.6 720 734.82 528.14 2.60319 32.02 64.53 325 325.31 232.02 1.78249 1.8345 508.4 730 745.62 536.07 2.61803 33.72 62.13 330 330.34 235.61 1.79783 1.9352 489.4 740 756.44 544.02 2.63280 35.50 59.82 340 340.42 242.82 1.82790 2.149 454.1 750 767.29 551.99 2.64737 37.35 57.63 350 350.49 250.02 1.85708 2.379 422.2 760 778.18 560.01 2.66176 39.27 55.54 360 360.58 257.24 1.88543 2.626 393.4 770 789.11 568.07 2.67595 41.31 53.39 370 370.67 264.46 1.91313 2.892 367.2 780 800.03 576.12 2.69013 43.35 51.64 380 380.77 271.69 1.94001 3.176 343.4 790 810.99 584.21 2.70400 45.55 49.86 390 390.88 278.93 1.96633 3.481 321.5 800 821.95 592.30 2.71787 47.75 48.08 400 400.98 286.16 1.99194 3.806 301.6 820 843.98 608.59 2.74504 52.59 44.84 410 411.12 293.43 2.01699 4.153 283.3 840 866.08 624.95 2.77170 57.60 41.85 420 421.26 300.69 2.04142 4.522 266.6 860 888.27 641.40 2.79783 63.09 39.12 430 431.43 307.99 2.06533 4.915 251.1 880 910.56 657.95 2.82344 68.98 36.61 440 441.61 315.30 2.08870 5.332 236.8 900 932.93 674.58 2.84856 75.29 34.31 450 451.80 322.62 2.11161 5.775 223.6 920 955.38 691.28 2.87324 82.05 32.18 460 462.02 329.97 2.13407 6.245 211.4 940 977.92 708.08 2.89748 89.28 30.22 470 472.24 337.32 2.15604 6.742 200.1 960 1000.55 725.02 2.92128 97.00 28.40 480 482.49 344.70 2.17760 7.268 189.5 980 1023.25 741.98 2.94468 105.2 26.73 490 492.74 352.08 2.19876 7.824 179.7 1000 1046.04 758.94 2.96770 114.0 25.17 500 503.02 359.49 2.21952 8.411 170.6 1020 1068.89 776.10 2.99034 123.4 23.72 510 513.32 366.92 2.23993 9.031 162.1 1040 1091.85 793.36 3.01260 133.3 22.39 520 523.63 374.36 2.25997 9.684 154.1 1060 1114.86 810.62 3.03449 143.9 21.14 530 533.98 381.84 2.27967 10.37 146.7 1080 1137.89 827.88 3.05608 155.2 19.98 540 544.35 389.34 2.29906 11.10 139.7 1100 1161.07 845.33 3.07732 167.1 18.896 550 554.74 396.86 2.31809 11.86 133.1 1120 1184.28 862.79 3.09825 179.7 17.886 T-7 12.66 127.0 Table 8. Ideal Gas Properties of Air T [K] h [kJ/kg] u [kJ/kg] so [kJ/(kg∙K)] 1140 1207.57 880.35 3.11883 1160 1230.92 897.91 3.13916 1180 1254.34 915.57 3.15916 1200 1277.79 933.33 3.17888 1220 1301.31 951.09 3.19834 1240 1324.93 968.95 3.21751 1260 1348.55 986.90 3.23638 1280 1372.24 1004.76 3.25510 1300 1395.97 1022.82 3.27345 1320 1419.76 1040.88 3.29160 1340 1443.60 1058.94 3.30959 1360 1467.49 1077.10 3.32724 1380 1491.44 1095.26 1400 1515.42 1113.52 1420 1539.44 1440 when ∆s = 0 Pr vr when ∆s = 0 Pr vr T [K] h [kJ/kg] u [kJ/kg] so [kJ/(kg∙K)] 16.946 1540 1684.51 1242.43 3.47712 672.8 6.569 207.2 16.064 1560 1708.82 1260.99 3.49276 710.5 6.301 222.2 15.241 1580 1733.17 1279.65 3.50829 750.0 6.046 238.0 14.470 1600 1757.57 1298.30 3.52364 791.2 5.804 254.7 13.747 1620 1782.00 1316.96 3.53879 834.1 5.574 272.3 13.069 1640 1806.46 1335.72 3.55381 878.9 5.355 290.8 12.435 1660 1830.96 1354.48 3.56867 925.6 5.147 310.4 11.835 1680 1855.50 1373.24 3.58335 974.2 4.949 330.9 11.275 1700 1880.1 1392.7 3.5979 1025 4.761 352.5 10.747 1750 1941.6 1439.8 3.6336 1161 4.328 375.3 10.247 1800 2003.3 1487.2 3.6684 1310 3.944 399.1 9.780 1850 2065.3 1534.9 3.7023 1475 3.601 3.34474 424.2 9.337 1900 2127.4 1582.6 3.7354 1655 3.295 3.36200 450.5 8.919 1950 2189.7 1630.6 3.7677 1852 3.022 1131.77 3.37901 478.0 8.526 2000 2252.1 1678.7 3.7994 2068 2.776 1563.51 1150.13 3.39586 506.9 8.153 2050 2314.6 1726.8 3.8303 2303 2.555 1460 1587.63 1168.49 3.41247 537.1 7.801 2100 2377.4 1775.3 3.8605 2559 2.356 1480 1611.79 1186.95 3.42892 568.8 7.468 2150 2440.3 1823.8 3.8901 2837 2.175 1500 1635.97 1205.41 3.44516 601.9 7.152 2200 2503.2 1872.4 3.9191 3138 2.012 1520 1660.23 1223.87 3.46120 636.5 6.854 2250 2566.4 1921.3 3.9474 3464 1.864 193.1 Source: M. J. Moran and H. N. Shapiro, Fundamentals of Engineering Thermodynamics, 6th Ed., John Wiley & Sons, Inc., 2008, pp. 853854 (based on J. H. Keenan and J. Kaye, Gas Tables, Wiley, New York, 1945). This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. T-8 Table 9. Ideal Gas Properties of Selected Gases Carbon Dioxide (CO2) T h u s [K] [kJ/kmol] [kJ/kmol] 0 220 230 240 250 260 270 280 290 298 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 660 670 680 690 700 710 720 730 740 750 0 6,601 6,938 7,280 7,627 7,979 8,335 8,697 9,063 9,364 9,431 9,807 10,186 10,570 10,959 11,351 11,748 12,148 12,552 12,960 13,372 13,787 14,206 14,628 15,054 15,483 15,916 16,351 16,791 17,232 17,678 18,126 18,576 19,029 19,485 19,945 20,407 20,870 21,337 21,807 22,280 22,754 23,231 23,709 24,190 24,674 25,160 25,648 26,138 26,631 27,125 27,622 28,121 28,622 29,124 29,629 0 4,772 5,026 5,285 5,548 5,817 6,091 6,369 6,651 6,885 6,939 7,230 7,526 7,826 8,131 8,439 8,752 9,068 9,392 9,718 10,046 10,378 10,714 11,053 11,393 11,742 12,091 12,444 12,800 13,158 13,521 13,885 14,253 14,622 14,996 15,372 15,751 16,131 16,515 16,902 17,291 17,683 18,076 18,471 18,869 19,270 19,672 20,078 20,484 20,894 21,305 21,719 22,134 22,552 22,972 23,393 Carbon Monoxide (CO) o h u so T [kJ/(kmol∙K)] [kJ/kmol] [kJ/kmol] [kJ/(kmol∙K)] [K] 0 188.683 189.980 191.221 192.411 193.554 194.654 195.173 196.735 197.543 197.723 198.678 199.603 200.500 201.371 202.217 203.040 203.842 204.622 205.383 206.125 206.850 207.549 208.252 208.929 209.593 210.243 210.880 211.504 212.117 212.719 213.310 213.890 214.460 215.020 215.572 216.115 216.649 217.175 217.693 218.204 218.708 219.205 219.695 220.179 220.656 221.127 221.592 222.052 222.505 222.953 223.396 223.833 224.265 224.692 225.115 0 7,295 7,628 7,961 8,294 8,627 8,961 9,296 9,631 9,904 9,966 10,302 10,639 10,976 11,314 11,652 11,992 12,331 12,672 13,014 13,356 13,699 14,043 14,388 14,734 15,080 15,428 15,777 16,126 16,477 16,828 17,181 17,534 17,889 18,245 18,601 18,959 19,318 19,678 20,039 20,402 20,765 21,130 21,495 21,862 22,230 22,600 22,970 23,342 23,714 24,088 24,464 24,840 25,218 25,597 25,977 0 5,466 5,715 5,965 6,215 6,466 6,716 6,968 7,219 7,425 7,472 7,725 7,978 8,232 8,487 8,742 8,998 9,255 9,513 9,771 10,030 10,290 10,551 10,813 11,075 11,339 11,603 11,869 12,135 12,403 12,671 12,940 13,211 13,482 13,755 14,028 14,303 14579 14,856 15,134 15,413 15,693 15,975 16,257 16,541 16,826 17,112 17,399 17,688 17,978 18,268 18,561 18,854 19,148 19,444 19,741 0 178.576 180.054 181.471 182.831 184.139 185.399 186.616 187.791 188.720 188.928 190.030 191.098 192.136 193.144 194.125 195.081 196.012 196.920 197.807 198.673 199.521 200.350 201.160 201.955 202.734 203.497 204.247 204.982 205.705 206.413 207.112 207.799 208.475 209.139 209.795 210.440 211.075 211.702 212.320 212.920 213.529 214.122 214.707 215.285 215.856 216.419 216.976 217.527 218.071 218.610 219.142 219.668 220.189 220.707 221.215 0 220 230 240 250 260 270 280 290 298 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 660 670 680 690 700 710 720 730 740 750 h u s [kJ/(kmol∙K)] [kJ/kmol] [kJ/kmol] 0 202.966 204.464 205.920 207.337 208.717 210.062 211.376 212.660 213.685 213.915 215.146 216.351 217.534 218.694 219.831 220.948 222.044 223.122 224.182 225.225 226.250 227.258 228.252 229.230 230.194 231.144 232.080 233.044 233.916 234.814 235.700 236.575 237.439 238.292 239.135 239.962 240.789 241.602 242.405 243.199 243.983 244.758 245.524 246.282 247.032 247.773 248.507 249.233 249.952 250.663 251.368 252.065 252.755 253.439 254.117 0 6,391 6,683 6,975 7,266 7,558 7,849 8,140 8,432 8,669 8,723 9,014 9,306 9,597 9,889 10,181 10,473 10,765 11,058 11,351 11,644 11,938 12,232 12,526 12,821 13,116 13,412 13,708 14,005 14,302 14,600 14,898 15,197 15,497 15,797 16,097 16,399 16,701 17,003 17,307 17,611 17,915 18,221 18,527 18,833 19,141 19,449 19,758 20,068 20,378 20,690 21,002 21,315 21,628 21,943 22,258 0 4,562 4,771 4,979 5,188 5,396 5,604 5,812 6,020 6,190 6,229 6,437 6,645 6,854 7,062 7,271 7,480 7,689 7,899 8,108 8,319 8,529 8,740 8,951 9,163 9,375 9,587 9,800 10,014 10,228 10,443 10,658 10,874 11,090 11,307 11,524 11,743 11,961 12,181 12,401 12,622 12,843 13,066 13,289 13,512 13,736 13,962 14,187 14,414 14,641 14,870 15,099 15,328 15,558 15,789 16,022 T-9 Water Vapor (H2O) o Table 9. Ideal Gas Properties of Selected Gases Oxygen (O2) Nitrogen (N2) h u so T [kJ/(kmol∙K)] [kJ/kmol] [kJ/kmol] [kJ/(kmol∙K)] [K] 0 196.171 197.461 198.696 199.885 201.027 202.128 203.191 204.218 205.033 205.213 206.177 207.112 208.020 208.904 209.765 210.604 211.423 212.222 213.002 213.765 214.510 215.241 215.955 216.656 217.342 218.016 218.676 219.326 219.963 220.589 221.206 221.812 222.409 222.997 223.576 224.146 224.708 225.262 225.808 226.346 226.877 227.400 227.918 228.429 228.932 229.430 229.920 230.405 230.885 231.358 231.827 232.291 232.748 233.201 233.649 0 6,391 6,683 6,975 7,266 7,558 7,849 8,141 8,432 8,669 8,723 9,014 9,306 9,597 9,888 10,180 10,471 10,763 11,055 11,347 11,640 11,932 12,225 12,518 12,811 13,105 13,399 13,693 13,988 14,285 14,581 14,876 15,172 15,469 15,766 16,064 16,363 16,662 16,962 17,262 17,563 17,864 18,166 18,468 18,772 19,075 19,380 19,685 19,991 20,297 20,604 20,912 21,220 21,529 21,839 22,149 0 4,562 4,770 4,979 5,188 5,396 5,604 5,813 6,021 6,190 6,229 6,437 6,645 6,853 7,061 7,270 7,478 7,687 7,895 8,104 8,314 8,523 8,733 8,943 9,153 9,363 9,574 9,786 9,997 10,210 10,423 10,635 10,848 11,062 11,277 11,492 11,707 11,923 12,139 12,356 12,574 12,792 13,011 13,230 13,450 13,671 13,892 14,114 14,337 14,560 14,784 15,008 15,234 15,460 15,686 15,913 0 182.638 183.938 185.180 186.370 187.514 188.614 189.673 190.695 191.502 191.682 192.638 193.562 194.459 195.328 196.173 196.995 197.794 198.572 199.331 200.071 200.794 201.499 202.189 202.863 203.523 204.170 204.803 205.424 206.033 206.630 207.216 207.792 208.358 208.914 209.461 209.999 210.528 211.049 211.562 212.066 212.564 213.055 213.541 214.018 214.489 214.954 215.413 215.866 216.314 216.756 217.192 217.624 218.059 218.472 218.889 0 220 230 240 250 260 270 280 290 298 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 660 670 680 690 700 710 720 730 740 750 T h u s [K] [kJ/kmol] [kJ/kmol] 0 220 230 240 250 260 270 280 290 298 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600 610 620 630 640 650 660 670 680 690 700 710 720 730 740 750 0 6,404 6,694 6,984 7,275 7,566 7,858 8,150 8,443 8,682 8,736 9,030 9,325 9,620 9,916 10,213 10,511 10,809 11,109 11,409 11,711 12,012 12,314 12,618 12,923 13,228 13,535 13,842 14,151 14,460 14,770 15,082 15,395 15,708 16,022 16,338 16,654 16,971 17,290 17,609 17,929 18,250 18,572 18,895 19,219 19,544 19,870 20,197 20,524 20,854 21,184 21,514 21,845 22,177 22,510 22,844 0 4,575 4,782 4,989 5,197 5,405 5,613 5,822 6,032 6,203 6,242 6,453 6,664 6,877 7,090 7,303 7,518 7,733 7,949 8,166 8,384 8,603 8,822 9,043 9,264 9,487 9,710 9,935 10,160 10,386 10,614 10,842 11,071 11,301 11,533 11,765 11,998 12,232 12,467 12,703 12,940 13,178 13,417 13,657 13,898 14,140 14,383 14,626 14,871 15,116 15,364 15,611 15,859 16,107 16,357 16,607 o T-10 Table 9. Ideal Gas Properties of Selected Gases Carbon Dioxide (CO2) T h u s [K] [kJ/kmol] [kJ/kmol] 760 770 780 790 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 30,135 30,644 31,154 31,665 32,179 32,694 33,212 33,730 34,251 34,773 35,296 35,821 36,347 36,876 37,405 37,935 38,467 39,000 39,535 40,070 40,607 41,145 41,685 42,226 42,769 43,859 44,953 46,051 47,153 48,258 49,369 50,484 51,602 52,724 53,848 54,977 56,108 57,244 58,381 59,522 60,666 61,813 62,963 64,116 65,271 66,427 67,586 68,748 69,911 71,078 72,246 73,417 74,590 76,767 76,944 78,123 23,817 24,242 24,669 25,097 25,527 25,959 26,394 26,829 27,267 27,706 28,125 28,588 29,031 29,476 29,922 30,369 30,818 31,268 31,719 32,171 32,625 33,081 33,537 33,995 34,455 35,378 36,306 37,238 38,174 39,112 40,057 41,006 41,957 42,913 43,871 44,834 45,799 46,768 47,739 48,713 49,691 50,672 51,656 52,643 53,631 54,621 55,614 56,609 57,606 58,606 59,609 60,613 61,620 62,630 63,741 64,653 Carbon Monoxide (CO) o h u so T [kJ/(kmol∙K)] [kJ/kmol] [kJ/kmol] [kJ/(kmol∙K)] [K] 225.533 225.947 226.357 226.762 227.162 227.559 227.952 228.339 228.724 229.106 229.482 229.856 230.227 230.593 230.957 231.317 231.674 232.028 232.379 232.727 233.072 233.413 233.752 234.088 234.421 235.079 235.728 236.364 236.992 237.609 238.217 238.817 239.407 239.989 240.663 241.128 241.686 242.236 242.780 243.316 243.844 244.366 244.880 245.388 245.889 246.385 246.876 247.360 247.839 248.312 248.778 249.240 249.695 250.147 250.592 251.033 26,358 26,741 27,125 27,510 27,896 28,284 28,672 29,062 29,454 29,846 30,240 30,635 31,032 31,429 31,828 32,228 32,629 33,032 33,436 33,841 34,247 34,653 35,061 35,472 35,882 36,709 37,542 38,380 39,223 40,071 40,923 41,780 42,642 43,509 44,380 45,256 46,137 47,022 47,912 48,807 49,707 50,612 51,521 52,434 53,351 54,273 55,198 56,128 57,062 57,999 58,942 59,888 60,838 61,792 62,748 63,709 20,039 20,339 20,639 20,941 21,245 21,549 21,855 22,162 22,470 22,779 23,090 23,402 23,715 24,029 24,345 24,662 24,980 25,300 25,621 25,943 26,265 26,588 26,913 27,240 27,568 28,228 28,895 29,567 30,243 30,925 31,611 32,301 32,997 33,698 34,403 35,112 35,827 36,546 37,270 38,000 38,732 39,470 40,213 40,960 41,711 42,466 43,226 43,989 44,756 45,528 46,304 47,084 47,868 48,655 49,445 52,240 221.720 222.221 222.717 223.207 223.693 224.174 224.651 225.123 225.592 226.057 226.517 226.973 227.426 227.875 228.321 228.763 229.202 229.637 230.070 230.499 230.924 231.347 231.767 232.184 232.597 233.415 234.223 235.020 235.806 236.584 237.352 238.110 238.859 239.600 240.333 241.057 241.773 242.482 243.183 243.877 244.564 245.243 245.915 246.582 247.241 247.895 248.543 249.185 249.820 250.450 251.074 251.693 252.305 252.912 253.513 254.111 760 770 780 790 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 h u s [kJ/(kmol∙K)] [kJ/kmol] [kJ/kmol] 254.787 255.452 256.110 256.762 257.408 258.048 258.682 259.311 259.934 260.551 261.164 261.770 262.371 262.968 263.559 264.146 264.728 265.304 265.877 266.444 267.007 267.566 268.119 268.670 269.215 270.293 271.354 272.400 273.430 274.445 275.444 276.430 277.403 278.362 279.307 280.238 281.158 282.066 282.962 283.847 284.722 285.586 286.439 287.283 288.106 288.934 289.743 290.542 291.333 292.114 292.888 292.654 294.411 295.161 295.901 296.632 22,573 22,890 23,208 23,526 23,844 24,164 24,483 24,803 25,124 25,446 25,768 26,091 26,415 26,740 27,066 27,392 27,719 28,046 28,375 28,703 29,033 29,362 29,693 30,024 30,355 31,020 31,688 32,357 33,029 33,702 34,377 35,054 35,733 36,406 37,095 37,780 38,466 39,154 39,884 40,534 41,266 41,919 42,613 43,309 44,007 44,707 45,408 46,110 46,813 47,517 48,222 48,928 49,635 50,344 51,053 51,763 16,255 16,488 16,723 16,957 17,193 17,429 17,665 17,902 18,140 18,379 18,617 18,858 19,099 19,341 19,583 19,826 20,070 20,314 20,559 20,805 21,051 21,298 21,545 21,793 22,041 22,540 23,041 23,544 24,049 24,557 25,065 25,575 26,088 26,602 27,118 27,637 28,426 28,678 29,201 29,725 30,251 30,778 31,306 31,836 32,367 32,900 33,434 33,971 34,508 35,046 35,584 36,124 36,665 37,207 37,750 38,293 T-11 Water Vapor (H2O) o Table 9. Ideal Gas Properties of Selected Gases Oxygen (O2) Nitrogen (N2) h u so T [kJ/(kmol∙K)] [kJ/kmol] [kJ/kmol] [kJ/(kmol∙K)] [K] 234.091 234.528 234.960 235.387 235.810 236.230 236.644 237.055 237.462 237.864 238.264 238.660 239.051 239.439 239.823 240.203 240.580 240.953 241.323 241.689 242.052 242.411 242.768 243.120 234.471 244.164 244.844 245.513 246.171 246.818 247.454 248.081 248.698 249.307 249.906 250.497 251.079 251.653 252.219 252.776 253.325 253.868 254.404 254.932 255.454 255.968 256.475 256.978 257.474 257.965 258.450 258.928 259.402 259.870 260.333 260.791 22,460 22,772 23,085 23,398 23,714 24,027 24,342 24,658 24,974 25,292 25,610 25,928 26,248 26,568 26,890 27,210 27,532 27,854 28,178 28,501 28,826 29,151 29,476 29,803 30,129 30,784 31,442 32,101 32,762 33,426 34,092 34,760 35,430 36,104 36,777 37,452 38,129 38,807 39,488 40,170 40,853 41,539 42,227 42,915 43,605 44,295 44,988 45,682 46,377 47,073 47,771 48,470 49,168 49,869 50,571 51,275 16,141 16,370 16,599 16,830 17,061 17,292 17,524 17,757 17,990 18,224 18,459 18,695 18,931 19,168 19,407 19,644 19,883 20,122 20,362 20,603 20,844 21,086 21,328 21,571 21,815 22,304 22,795 23,288 23,782 24,280 24,780 25,282 25,786 26,291 26,799 27,308 27,819 28,331 28,845 29,361 29,878 30,398 30,919 31,441 31,964 32,489 33,014 33,543 34,071 34,601 35,133 35,665 36,197 36,732 37,268 37,806 219.301 219.709 220.113 220.512 220.907 221.298 221.684 222.067 222.447 222.822 223.194 223.562 223.927 224.288 224.647 225.002 225.353 225.701 226.047 226.389 226.728 227.064 227.398 227.728 228.057 228.706 229.344 229.973 230.591 231.199 231.799 232.391 232.973 233.549 234.115 234.673 235.223 235.766 236.302 236.831 237.353 237.867 238.376 238.878 239.375 239.865 240.350 240.827 241.301 241.768 242.228 242.685 243.137 243.585 244.028 244.464 760 770 780 790 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 T h u s [K] [kJ/kmol] [kJ/kmol] 760 770 780 790 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 23,178 23,513 23,850 24,186 24,523 24,861 25,199 25,537 25,877 26,218 26,559 26,899 27,242 27,584 27,928 28,272 28,616 28,960 29,306 29,652 29,999 30,345 30,692 31,041 31,389 32,088 32,789 33,490 34,194 34,899 35,606 36,314 37,023 37,734 38,447 39,162 39,877 40,594 41,312 42,033 42,753 43,475 44,198 44,923 45,648 46,374 47,102 47,831 48,561 49,292 50,024 50,756 51,490 52,224 52,961 53,696 16,859 17,111 17,364 17,618 17,872 18,126 18,382 18,637 18,893 19,150 19,408 19,666 19,925 20,185 20,445 20,706 20,967 21,228 21,491 21,754 22,017 22,280 22,544 22,809 23,075 23,607 24,142 24,677 25,214 25,753 26,294 26,836 27,379 27,923 28,469 29,018 29,568 30,118 30,670 31,224 31,778 32,334 32,891 33,449 34,008 34,567 35,129 35,692 36,256 36,821 37,387 37,952 38,520 39,088 39,658 40,227 o T-12 Table 9. Ideal Gas Properties of Selected Gases Carbon Dioxide (CO2) T h u s [K] [kJ/kmol] [kJ/kmol] 1640 1660 1680 1700 1720 1740 1760 1780 1800 1820 1840 1860 1880 1900 1920 1940 1960 1980 2000 2050 2100 2150 2200 2250 2300 2350 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000 3050 3100 3150 3200 3250 79,303 80,486 81,670 82,856 84,043 85,231 86,420 87,612 88,806 90,000 91,196 92,394 93,593 94,793 95,995 97,197 98,401 99,606 100,804 103,835 106,864 109,898 112,939 115,984 119,035 122,091 125,152 128,219 131,290 134,368 137,449 140,533 143,620 146,713 149,808 152,908 156,009 159,117 162,226 165,341 168,456 171,576 174,695 177,822 65,668 66,592 67,702 68,721 69,742 70,764 71,787 72,812 73,840 74,868 75,897 76,929 77,962 78,996 80,031 81,067 82,105 83,144 84,185 86,791 89,404 92,023 94,648 97,277 99,912 102,552 105,197 107,849 110,504 113,166 115,832 118,500 121,172 123,849 126,528 129,212 131,898 134,589 137,283 139,982 142,681 145,385 148,089 150,801 Carbon Monoxide (CO) o h u so T [kJ/(kmol∙K)] [kJ/kmol] [kJ/kmol] [kJ/(kmol∙K)] [K] 251.470 251.901 252.329 252.751 253.169 253.582 253.991 254.398 254.797 255.194 255.587 255.976 256.361 256.743 257.122 257.497 257.868 258.236 258.600 259.494 260.370 261.226 262.065 262.887 263.692 264.480 265.253 266.012 266.755 267.485 268.202 268.905 269.596 270.285 270.943 271.602 272.249 272.884 273.508 274.123 274.730 275.326 275.914 276.494 64,675 65,643 66,614 67,589 68,567 69,550 70,535 71,523 72,513 73,507 74,506 75,506 76,511 77,517 78,527 79,540 80,555 81,573 82,593 85,156 87,735 90,330 92,940 95,562 98,199 100,846 103,508 106,183 108,868 111,565 114,273 116,991 119,717 122,453 125,198 127,952 130,717 133,486 136,264 139,051 141,846 144,648 147,457 150,272 51,039 51,841 52,646 53,455 54,267 55,083 55,902 56,723 57,547 58,375 59,207 60,042 60,880 61,720 62,564 63,411 64,259 65,111 65,965 68,111 70,275 72,454 74,649 76,855 79,076 81,308 83,553 85,811 88,082 90,364 92,656 94,958 97,269 99,588 101,917 104,256 106,605 108,959 111,321 113,692 116,072 118,458 120,851 123,250 254.703 255.290 255.873 256.450 257.022 257.589 258.151 258.708 259.262 259.811 260.357 260.898 261.436 261.969 262.497 263.022 263.542 264.059 264.571 265.838 267.081 268.301 269.500 270.679 271.839 272.978 274.098 275.201 276.286 277.354 278.407 279.441 280.462 281.464 282.453 283.429 284.390 285.338 286.273 287.194 288.102 288.999 289.884 290.756 1640 1660 1680 1700 1720 1740 1760 1780 1800 1820 1840 1860 1880 1900 1920 1940 1960 1980 2000 2050 2100 2150 2200 2250 2300 2350 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000 3050 3100 3150 3200 3250 h u s [kJ/(kmol∙K)] [kJ/kmol] [kJ/kmol] 297.356 298.072 298.781 299.482 300.177 300.863 301.543 302.271 302.884 303.544 304.198 304.845 305.487 306.122 306.751 307.374 307.992 308.604 309.210 310.701 312.160 313.589 314.988 316.356 317.695 319.011 320.302 321.566 322.808 324.026 325.222 326.396 327.549 328.684 329.800 330.896 331.975 333.037 334.084 335.114 336.126 337.124 338.109 339.069 52,472 53,184 53,895 54,609 55,323 56,039 56,756 57,473 58,191 58,910 59,629 60,351 61,072 61,794 62,516 63,238 63,961 64,684 65,408 67,224 69,044 70,864 72,688 74,516 76,345 78,178 80,015 81,852 83,692 85,537 87,383 89,230 91,077 92,930 94,784 96,639 98,495 100,352 102,210 104,073 105,939 107,802 109,667 111,534 38,837 39,382 39,927 40,474 41,023 41,572 42,123 42,673 43,225 43,778 44,331 44,886 45,441 45,997 46,552 47,108 47,665 48,221 48,780 50,179 51,584 52,988 54,396 55,809 57,222 58,640 60,060 61,482 62,906 64,335 65,766 67,197 68,628 70,066 71,504 72,945 74,383 75,825 77,267 78,715 80,164 81,612 83,061 84,513 T-13 Water Vapor (H2O) o Table 9. Ideal Gas Properties of Selected Gases Oxygen (O2) Nitrogen (N2) h u so T [kJ/(kmol∙K)] [kJ/kmol] [kJ/kmol] [kJ/(kmol∙K)] [K] 261.242 261.690 262.132 262.571 263.005 263.435 263.861 264.283 264.701 265.113 265.521 265.925 266.326 266.722 267.115 267.505 267.891 268.275 268.655 269.588 270.504 271.399 272.278 273.136 273.981 274.809 275.625 276.424 277.207 277.979 278.738 279.485 280.219 280.942 281.654 282.357 283.048 283.728 284.399 285.060 285.713 286.355 286.989 287.614 51,980 52,686 53,393 54,099 54,807 55,516 56,227 56,938 57,651 58,363 59,075 59,790 60,504 61,220 61,936 62,654 63,381 64,090 64,810 66,612 68,417 70,226 72,040 73,856 75,676 77,496 79,320 81,149 82,981 84,814 86,650 88,488 90,328 92,171 94,014 95,859 97,705 99,556 101,407 103,260 105,115 106,972 108,830 110,690 38,344 38,884 39,424 39,965 40,507 41,049 41,594 42,139 42,685 43,231 43,777 44,324 44,873 45,423 45,973 46,524 47,075 47,627 48,181 49,567 50,957 52,351 53,749 55,149 56,553 57,958 59,366 60,779 62,195 63,613 65,033 66,455 67,880 69,306 70,734 72,163 73,593 75,028 76,464 77,902 79,341 80,782 82,224 83,668 244.896 245.324 245.747 246.166 246.580 246.990 247.396 247.798 248.195 248.589 248.979 249.365 249.748 250.128 250.502 250.874 251.242 251.607 251.969 252.858 253.726 254.578 255.412 256.227 257.027 257.810 258.580 259.332 260.073 260.799 261.512 262.213 262.902 263.577 264.241 264.895 265.538 266.170 266.793 267.404 268.007 268.601 269.186 269.763 1640 1660 1680 1700 1720 1740 1760 1780 1800 1820 1840 1860 1880 1900 1920 1940 1960 1980 2000 2050 2100 2150 2200 2250 2300 2350 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000 3050 3100 3150 3200 3250 T h u s [K] [kJ/kmol] [kJ/kmol] 1640 1660 1680 1700 1720 1740 1760 1780 1800 1820 1840 1860 1880 1900 1920 1940 1960 1980 2000 2050 2100 2150 2200 2250 2300 2350 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000 3050 3100 3150 3200 3250 54,434 55,172 55,912 56,652 57,394 58,136 58,800 59,624 60,371 61,118 61,866 62,616 63,365 64,116 64,868 65,620 66,374 67,127 67,881 69,772 71,668 73,573 75,484 77,397 79,316 81,243 83,174 85,112 87,057 89,004 90,956 92,916 94,881 96,852 98,826 100,808 102,793 104,785 106,780 108,778 110,784 112,795 114,809 116,827 40,799 41,370 41,944 42,517 43,093 43,669 44,247 44,825 45,405 45,986 46,568 47,151 47,734 48,319 48,904 49,490 50,078 50,665 51,253 52,727 54,208 55,697 57,192 58,690 60,193 61,704 63,219 64,742 66,271 67,802 69,339 70,883 72,433 73,987 75,546 77,112 78,682 80,258 81,837 83,419 85,009 86,601 88,203 89,804 o Source: M. J. Moran and H. N. Shapiro, Fundamentals of Engineering Thermodynamics, 6th Ed., John Wiley & Sons, Inc., 2008, pp. 855858 (based on the JANAF Thermochemical Tables, NSRDS-NBS-37, 1971). This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. T-14 Table 10. Properties of Saturated Water (Liquid-Vapor): Temperature Table Specific Volume [m3/kg] Sat. Sat. Liquid Vapor (vf) (vg) 0.0010002 206.136 0.0010001 157.232 0.0010001 147.120 0.0010001 137.734 0.0010002 120.917 0.0010004 106.379 Specific Internal Energy [kJ/kg] Sat. Sat. Liquid Vapor (uf) (ug) 0.00 2375.3 16.77 2380.9 20.97 2382.3 25.19 2383.6 33.59 2386.4 42.00 2389.2 Specific Enthalpy [kJ/kg] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) 0.01 2501.3 2501.4 16.78 2491.9 2508.7 20.98 2489.6 2510.6 25.20 2487.2 2512.4 33.60 2482.5 2516.1 42.01 2477.7 2519.8 Specific Entropy [kJ/(kg∙K)] Sat. Sat. Liquid Vapor (sf) (sg) 0.0000 9.1562 0.0610 9.0514 0.0761 9.0257 0.0912 9.0003 0.1212 8.9501 0.1510 8.9008 Temp [oC] 0.01 4 5 6 8 10 Sat Pressure [kPa] 0.611 0.813 0.872 0.935 1.072 1.228 11 12 13 14 15 16 1.312 1.402 1.497 1.598 1.705 1.818 0.0010004 0.0010005 0.0010007 0.0010008 0.0010009 0.0010011 99.857 93.784 88.124 82.848 77.926 73.333 46.20 50.41 54.60 58.79 62.99 67.18 2390.5 2391.9 2393.3 2394.7 2396.1 2397.4 46.20 50.41 54.60 58.80 62.99 67.19 2475.4 2473.0 2470.7 2468.3 2465.9 2463.6 2521.6 2523.4 2525.3 2527.1 2528.9 2530.8 0.1658 0.1806 0.1953 0.2099 0.2245 0.2390 8.8765 8.8524 8.8285 8.8048 8.7814 8.7582 11 12 13 14 15 16 17 18 19 20 21 22 1.938 2.064 2.198 2.339 2.487 2.645 0.0010012 0.0010014 0.0010016 0.0010018 0.0010020 0.0010022 69.044 65.038 61.293 57.791 54.514 51.447 71.38 75.57 79.96 83.95 88.14 92.32 2398.8 2400.2 2401.6 2402.9 2404.3 2405.7 71.38 75.58 79.77 83.96 88.14 92.33 2461.2 2458.8 2456.5 2454.1 2451.8 2449.4 2532.6 2534.4 2536.2 2538.1 2539.9 2541.7 0.2535 0.2679 0.2823 0.2966 0.3109 0.3251 8.7351 8.7123 8.6897 8.6672 8.6450 8.6229 17 18 19 20 21 22 23 24 25 26 27 28 29 2.810 2.985 3.169 3.363 3.567 3.782 4.008 0.0010024 0.0010027 0.0010029 0.0010032 0.0010035 0.0010037 0.0010040 48.574 45.883 43.360 40.994 38.774 36.690 34.733 96.51 100.70 104.88 109.06 113.25 117.42 121.60 2407.0 2408.4 2409.8 2411.1 2412.5 2413.9 2415.2 96.52 100.70 104.89 109.07 113.25 117.43 121.61 2447.0 2444.7 2442.3 2439.9 2437.6 2435.2 2432.8 2543.5 2545.4 2547.2 2549.0 2550.8 2552.6 2554.5 0.3393 0.3534 0.3674 0.3814 0.3954 0.4093 0.4231 8.6011 8.5794 8.5580 8.5367 8.5156 8.4946 8.4739 23 24 25 26 27 28 29 30 31 32 33 34 35 4.246 4.496 4.759 5.034 5.324 5.628 0.0010043 0.0010046 0.0010050 0.0010053 0.0010056 0.0010060 32.894 31.165 29.540 28.011 26.571 25.216 125.78 129.96 134.14 138.32 142.50 146.67 2416.6 2418.0 2419.3 2420.7 2422.0 2423.4 125.79 129.97 134.15 138.33 142.50 146.68 2430.5 2428.1 2425.7 2423.4 2421.0 2418.6 2556.3 2558.1 2559.9 2561.7 2563.5 2565.3 0.4369 0.4507 0.4644 0.4781 0.4917 0.5053 8.4533 8.4329 8.4127 8.3927 8.3728 8.3531 30 31 32 33 34 35 36 38 40 45 50 5.947 6.632 7.384 9.593 12.35 0.0010063 0.0010071 0.0010078 0.0010099 0.0010121 23.940 21.602 19.523 15.258 12.032 150.85 159.20 167.56 188.44 209.32 2424.7 2427.4 2430.1 2436.8 2443.5 150.86 159.21 167.57 188.45 209.33 2416.2 2411.5 2406.7 2394.8 2382.7 2567.1 2570.7 2574.3 2583.2 2592.1 0.5188 0.5458 0.5725 0.6387 0.7038 8.3336 8.2950 8.2570 8.1648 8.0763 36 38 40 45 50 T-15 Temp [oC] 0.01 4 5 6 8 10 Table 10. Properties of Saturated Water (Liquid-Vapor): Temperature Table Specific Volume [m3/kg] Sat. Sat. Liquid Vapor (vf) (vg) 0.0010146 9.568 0.0010172 7.671 0.0010199 6.197 0.0010228 5.042 0.0010259 4.131 0.0010291 3.407 Specific Internal Energy [kJ/kg] Sat. Sat. Liquid Vapor (uf) (ug) 230.21 2450.1 251.11 2456.6 272.02 2463.1 292.95 2469.6 313.90 2475.9 334.86 2482.2 Specific Enthalpy [kJ/kg] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) 230.23 2370.7 2600.9 251.13 2358.5 2609.6 272.06 2346.2 2618.3 292.98 2333.8 2626.8 313.93 2321.4 2635.3 334.91 2308.8 2643.7 Specific Entropy [kJ/(kg∙K)] Sat. Sat. Liquid Vapor (sf) (sg) 0.7679 7.9913 0.8312 7.9096 0.8935 7.8310 0.9549 7.7553 1.0155 7.6824 1.0753 7.6122 Temp [oC] 55 60 65 70 75 80 Sat Pressure [kPa] 15.76 19.94 25.03 31.19 38.58 47.39 85 90 95 100 110 120 57.83 70.14 84.55 101.4 143.3 198.5 0.0010325 0.0010360 0.0010397 0.0010435 0.0010516 0.0010603 2.828 2.361 1.982 1.673 1.210 0.8919 355.84 376.85 397.88 418.94 461.14 503.50 2488.4 2494.5 2500.6 2506.5 2518.1 2529.3 355.90 376.92 397.96 419.04 461.30 503.71 2296.0 2283.2 2270.2 2257.0 2230.2 2202.6 2651.9 2660.1 2668.1 2676.1 2691.5 2706.3 1.1343 1.1925 1.2500 1.3069 1.4185 1.5276 7.5445 7.4791 7.4159 7.3549 7.2387 7.1296 85 90 95 100 110 120 130 140 150 160 170 180 270.1 361.3 475.8 617.8 791.7 1002 0.0010697 0.0010797 0.0010905 0.0011020 0.0011143 0.0011274 0.6685 0.5089 0.3928 0.3071 0.2428 0.1941 546.02 588.74 631.68 674.86 718.33 762.09 2539.9 2550.0 2559.5 2568.4 2576.5 2583.7 546.31 589.13 632.20 675.55 719.21 763.22 2174.2 2144.7 2114.3 2082.6 2049.5 2015.0 2720.5 2733.9 2746.5 2758.1 2768.7 2778.2 1.6344 1.7391 1.8418 1.9427 2.0419 2.1396 7.0269 6.9299 6.8379 6.7502 6.6663 6.5857 130 140 150 160 170 180 190 200 210 220 230 240 250 1254 1554 1906 2318 2795 3344 3973 0.0011414 0.0011565 0.0011726 0.0011900 0.0012088 0.0012291 0.0012512 0.1565 0.1274 0.1044 0.08619 0.07158 0.05976 0.05013 806.19 850.65 895.53 940.87 986.74 1033.2 1080.4 2590.0 2595.3 2599.5 2602.4 2603.9 2604.0 2602.4 807.62 852.45 897.76 943.62 990.12 1037.3 1085.4 1978.8 1940.7 1900.7 1858.5 1813.8 1766.5 1716.2 2786.4 2793.2 2798.5 2802.1 2804.0 2803.8 2801.5 2.2359 2.3309 2.4248 2.5178 2.6099 2.7015 2.7927 6.5079 6.4323 6.3585 6.2861 6.2146 6.1437 6.0730 190 200 210 220 230 240 250 260 270 280 290 300 320 4688 5499 6412 7436 8581 11,270 0.0012755 0.0013023 0.0013321 0.0013656 0.0014036 0.0014988 0.04221 0.03564 0.03017 0.02557 0.02167 0.01549 1128.4 1177.4 1227.5 1278.9 1332.0 1444.6 2599.0 2593.7 2586.1 2576.0 2563.0 2525.5 1134.4 1184.5 1236.0 1289.1 1344.0 1461.5 1662.5 1605.2 1543.6 1477.1 1404.9 1238.6 2796.6 2789.7 2779.6 2766.2 2749.0 2700.1 2.8838 2.9751 3.0668 3.1594 3.2534 3.4480 6.0019 5.9301 5.8571 5.7821 5.7045 5.5362 260 270 280 290 300 320 340 360 374.14 14,590 18,650 22,090 0.0016379 0.0018925 0.003155 0.01080 0.006945 0.003155 1570.3 1725.2 2029.6 2464.6 2351.5 2029.6 1594.2 1760.5 2099.3 1027.9 720.5 0 2622.0 2481.0 2099.3 3.6594 3.9147 4.4298 5.3357 5.0526 4.4298 340 360 374.14 Temp [oC] 55 60 65 70 75 80 Source: Tables 10 through 13 are extracted from J. H. Keenan, F. G. Keyes, P. G. Hill, and J. G. Moore, Steam Tables, Wiley, New York, 1969. This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. T-16 Table 11. Properties of Saturated Water (Liquid-Vapor): Pressure [kPa] Table Press. (P) [kPa] 4 6 8 10 20 30 Sat Temp. (Tsat) [oC] 28.96 36.16 41.51 45.81 60.06 69.10 Specific Volume [m3/kg] Sat. Sat. Liquid Vapor (vf) (vg) 0.0010040 34.800 0.0010064 23.739 0.0010084 18.103 0.0010102 14.674 0.0010172 7.649 0.0010223 5.229 Specific Internal Energy [kJ/kg] Sat. Sat. Liquid Vapor (uf) (ug) 121.45 2415.2 151.53 2425.0 173.87 2432.2 191.82 2437.9 251.38 2456.7 289.20 2468.4 Specific Enthalpy [kJ/kg] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) 121.46 2432.9 2554.4 151.53 2415.9 2567.4 173.88 2403.1 2477.0 191.83 2392.8 2584.7 251.40 2358.3 2609.7 289.23 2336.1 2625.3 Specific Entropy [kJ/(kg∙K)] Sat. Sat. Liquid Vapor (sf) (sg) 0.4226 8.4746 0.5210 8.3304 0.5926 8.2287 0.6493 8.1502 0.8320 7.9085 0.9439 7.7686 40 50 60 70 80 90 75.87 81.33 85.94 89.95 93.50 96.71 0.0010265 0.0010300 0.0010331 0.0010360 0.0010380 0.0010410 3.993 3.240 2.732 2.365 2.087 1.869 317.53 340.44 359.79 376.63 391.58 405.06 2477.0 2483.9 2489.6 2494.5 2498.8 2502.6 317.58 340.49 359.86 376.70 391.66 405.15 2319.2 2305.4 2293.6 2283.3 2274.1 2265.7 2636.8 2645.9 2653.5 2660.0 2665.8 2670.9 1.0259 1.0910 1.1453 1.1919 1.2329 1.2695 7.6700 7.5939 7.5320 7.4797 7.4346 7.3949 40 50 60 70 80 90 100 150 200 250 300 350 99.63 111.4 120.2 127.4 133.6 138.9 0.0010432 0.0010528 0.0010605 0.0010672 0.0010732 0.0010786 1.694 1.159 0.8857 0.7187 0.6058 0.5243 417.36 466.94 504.49 535.10 561.15 583.95 2506.1 2519.7 2529.5 2537.2 2543.6 2546.9 417.46 467.11 504.70 535.37 561.47 584.33 2258.0 2226.5 2201.9 2181.5 2163.8 2148.1 2675.5 2693.6 2706.7 2716.9 2725.3 2732.4 1.3026 1.4336 1.5301 1.6072 1.6718 1.7275 7.3594 7.2233 7.1271 7.0527 6.9919 6.9405 100 150 200 250 300 350 400 450 500 600 700 800 900 143.6 147.9 151.9 158.9 165.0 170.4 175.4 0.0010836 0.0010882 0.0010926 0.0011006 0.0011080 0.0011148 0.0011212 0.4625 0.4140 0.3749 0.3157 0.2729 0.2404 0.2150 604.31 622.25 639.68 669.90 696.44 720.22 741.83 2553.6 2557.6 2561.2 2567.4 2572.5 2576.8 2580.5 604.74 623.25 640.23 670.56 697.22 721.11 742.83 2133.8 2120.7 2108.5 2086.3 2066.3 2048.0 2031.1 2738.6 2743.9 2748.7 2756.8 2763.5 2769.1 2773.9 1.7766 1.8207 1.8607 1.9312 1.9922 2.0462 2.0946 6.8959 6.8565 6.8212 6.7600 6.7080 6.6628 6.6226 400 450 500 600 700 800 900 T-17 Press. (P) [kPa] 4 6 8 10 20 30 Table 11. Properties of Saturated Water (Liquid-Vapor): Pressure [MPa] Table Press. (P) [MPa] 1.0 1.5 2.0 2.5 3.0 3.5 Sat Temp. (Tsat) [oC] 179.9 198.3 212.4 224.0 233.9 242.6 Specific Volume [m3/kg] Sat. Sat. Liquid Vapor (vf) (vg) 0.0011273 0.1944 0.0011539 0.1318 0.0011767 0.09963 0.0011973 0.07998 0.0012165 0.06668 0.0012347 0.05707 Specific Internal Energy [kJ/kg] Sat. Sat. Liquid Vapor (uf) (ug) 761.68 2583.6 843.16 2594.5 906.44 2600.3 959.11 2603.1 1004.8 2604.1 1045.4 2603.7 Specific Enthalpy [kJ/kg] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) 762.81 2015.3 2778.1 844.84 1947.3 2792.2 908.79 1890.7 2799.5 962.11 1841.0 2803.1 1008.4 1795.7 2804.2 1049.8 1753.7 2803.4 Specific Entropy [kJ/(kg∙K)] Sat. Sat. Liquid Vapor (sf) (sg) 2.1387 6.5863 2.3150 6.4448 2.4474 6.3409 2.5547 6.2575 2.6457 6.1869 2.7253 6.1253 4.0 4.5 5 6 7 8 250.4 257.5 264.0 275.6 285.9 295.1 0.0012522 0.0012692 0.0012859 0.0013187 0.0013513 0.0013842 0.04978 0.04406 0.03944 0.03244 0.02737 0.02352 1082.3 1116.2 1147.8 1205.4 1257.6 1305.6 2602.3 2600.1 2597.1 2589.7 2580.5 2569.8 1087.3 1121.9 1154.2 1213.4 1267.0 1316.6 1714.1 1676.4 1640.1 1571.0 1505.1 1441.3 2801.4 2798.3 2794.3 2784.3 2772.1 2758.0 2.7964 2.8610 2.9202 3.0267 3.1211 3.2068 6.0701 6.0199 5.9734 5.8892 5.8133 5.7432 4 4.5 5 6 7 8 9 10 11 12 13 14 303.4 311.1 318.2 324.8 330.9 336.8 0.0014178 0.0014524 0.0014886 0.0015267 0.0015671 0.0016107 0.02048 0.01803 0.01599 0.01426 0.01278 0.01149 1350.5 1393.0 1433.7 1473.0 1511.1 1548.6 2557.8 2544.4 2529.8 2513.7 2496.1 2476.8 1363.3 1407.6 1450.1 1491.3 1531.5 1571.1 1378.9 1317.1 1255.5 1193.6 1130.7 1066.5 2742.1 2724.7 2705.6 2684.9 2662.2 2637.6 3.2858 3.3596 3.4295 3.4962 3.5606 3.6232 5.6772 5.6141 5.5527 5.4924 5.4323 5.3717 9 10 11 12 13 14 15 16 17 18 19 20 22.09 342.2 347.4 352.4 357.1 361.5 365.8 374.1 0.0016581 0.0017107 0.0017702 0.0018397 0.0019243 0.002036 0.003155 0.01034 1585.6 1622.7 1660.2 1698.9 1739.9 1785.6 2029.6 2455.5 2431.7 2405.0 2374.3 2338.1 2293.0 2029.6 1610.5 1650.1 1690.3 1732.0 1776.5 1826.3 2099.3 1000.0 930.6 856.9 777.1 688.0 583.4 0 2610.5 2580.6 2547.2 2509.1 2464.5 2409.7 2099.3 3.6848 3.7461 3.8079 3.8715 3.9388 4.0139 4.4298 5.3098 5.2455 5.1777 5.1044 5.0228 4.9269 4.4298 15 16 17 18 19 20 22.09 0.009306 0.008364 0.007489 0.006657 0.005834 0.003155 T-18 Press. (P) [MPa] 1 1.5 2 2.5 3 3.5 Table 12. Properties of Superheated Water Vapor T [oC] v [m3/kg] u [kJ/kg] h [kJ/kg] s [kJ/(kg∙K)] v [m3/kg] P = 6 kPa = 0.006 MPa (Tsat = 36.16oC) Sat. 80 120 160 200 240 280 320 360 400 440 500 23.739 27.132 30.219 33.302 36.383 39.462 42.540 45.618 48.696 51.774 54.851 59.467 2425.0 2487.3 2544.7 2602.7 2661.4 2721.0 2781.5 2843.0 2905.5 2969.0 3033.5 3132.3 2567.4 2650.1 2726.0 2802.5 2879.7 2957.8 3036.8 3116.7 3197.7 3279.6 3362.6 3489.1 Sat. 120 160 200 240 280 320 360 400 440 500 600 2.365 2.434 2.571 2.841 3.108 3.374 3.640 3.905 4.170 4.434 4.698 5.095 2494.5 2509.7 2539.7 2599.4 2659.1 2719.3 2780.2 2842.0 2904.6 2968.2 3032.9 3131.8 2660.0 2680.0 2719.6 2798.2 2876.7 2955.5 3035.0 3115.3 3196.5 3278.6 3361.8 3488.5 h [kJ/kg] s [kJ/(kg∙K)] 8.3304 8.5804 8.7840 8.9693 9.1398 9.2982 9.4464 9.5859 9.7180 9.8435 9.9633 10.1336 4.526 4.625 5.163 5.696 6.228 6.758 7.287 7.815 8.344 8.872 9.400 10.192 2473.0 2483.7 2542.4 2601.2 2660.4 2720.3 2780.9 2842.5 2905.1 2968.6 3033.2 3132.1 2631.4 2645.6 2723.1 2800.6 2878.4 2956.8 3036.0 3116.1 3197.1 3279.2 3362.2 3488.8 7.7158 7.7564 7.9644 8.1519 8.3237 8.4828 8.6314 8.7712 8.9034 9.0291 9.1490 9.3194 7.4797 7.5341 7.6375 7.8279 8.0012 8.1611 8.3162 8.4504 8.5828 8.7086 8.8286 8.9991 1.694 1.696 1.793 1.984 2.172 2.359 2.546 2.732 2.917 3.103 3.288 3.565 2506.1 2506.7 2537.3 2597.8 2658.1 2718.5 2779.6 2841.5 2904.2 2967.9 3032.6 3131.6 2675.5 2676.2 2716.6 2796.2 2875.3 2954.5 3034.2 3114.6 3195.9 3278.2 3361.4 3488.1 7.3594 7.3614 7.4668 7.6597 7.8343 7.9949 8.1445 8.2849 8.4175 8.5435 8.6636 8.8342 P = 300 kPa = 0.30 MPa (Tsat = 133.55oC) 1.159 1.188 1.317 1.444 1.570 1.695 1.819 1.943 2.067 2.191 2.376 2.685 0.606 2543.6 2725.3 6.9919 0.651 0.716 0.781 0.844 0.907 0.969 1.032 1.094 1.187 1.341 2587.1 2650.7 2713.1 2775.4 2838.1 2901.4 2965.6 3030.6 3130.0 3300.8 2782.3 2865.5 2947.3 3028.6 3110.1 3192.2 3275.0 3358.7 3486.0 3703.2 7.1276 7.3115 7.4774 7.6299 7.7722 7.9061 8.0330 8.1538 8.3251 8.5892 2693.6 2711.4 2792.8 2872.9 2952.7 3032.8 3113.5 3195.0 3277.4 3360.7 3487.6 3704.3 Sat. 80 120 160 200 240 280 320 360 400 440 500 P = 100 kPa = 0.10 MPa (Tsat = 99.63oC) P = 150 kPa = 0.15 MPa (Tsat = 111.37oC) 2519.7 2533.3 2595.2 2656.2 2717.2 2778.6 2840.6 2903.5 2967.3 3032.1 3131.2 3301.7 T [oC] P = 35 kPa = 0.035 MPa (Tsat = 72.69oC) P = 70 kPa = 0.07 MPa (Tsat = 89.95oC) Sat. 100 120 160 200 240 280 320 360 400 440 500 u [kJ/kg] 7.2233 7.2693 7.4665 7.6433 7.8052 7.9555 8.0964 8.2293 8.3555 8.4757 8.6466 8.9101 T-19 Sat. 100 120 160 200 240 280 320 360 400 440 500 Sat. 120 160 200 240 280 320 360 400 440 500 600 Table 12. Properties of Superheated Water Vapor T [oC] Sat. 180 200 240 280 320 360 400 440 500 600 700 Sat. 200 240 280 320 360 400 440 500 540 600 640 Sat. 240 280 320 360 400 440 500 540 600 640 700 v [m3/kg] u [kJ/kg] h [kJ/kg] s [kJ/(kg∙K)] v [m3/kg] u [kJ/kg] h [kJ/kg] s [kJ/(kg∙K)] P = 500 kPa = 0.50 MPa (Tsat = 151.86oC) P = 700 kPa = 0.70 MPa (Tsat = 164.97oC) 0.3749 0.4045 0.4249 0.4646 0.5034 0.5416 0.5796 0.6173 0.6548 0.7109 0.8041 0.8969 0.2729 0.2847 0.2999 0.3292 0.3574 0.3852 0.4126 0.4397 0.4667 0.5070 0.5738 0.6403 2561.2 2609.7 2642.9 2707.6 2771.2 2834.7 2898.7 2963.2 3028.6 3128.4 3299.6 3477.5 2748.7 2812.0 2855.4 2939.9 3022.9 3105.6 3188.4 3271.9 3356.0 3483.9 3701.7 3925.9 6.8213 6.9656 7.0592 7.2307 7.3865 7.5308 7.6660 7.7938 7.9152 8.0873 8.3522 8.5952 2572.5 2599.8 2634.8 2701.8 2766.9 2831.3 2895.8 2960.9 3026.6 3126.8 3298.5 3476.6 2763.5 2799.1 2844.8 2932.2 3017.1 3100.9 3184.7 3268.7 3353.3 3481.7 3700.2 3924.8 6.7080 6.7880 6.8865 7.0641 7.2233 7.3697 7.5063 7.6350 7.7571 7.9299 8.1956 8.4391 P = 1000 kPa = 1.0 MPa (Tsat = 179.91oC) P = 1500 kPa = 1.5 MPa (Tsat = 198.32oC) 0.1944 0.2060 0.2275 0.2480 0.2678 0.2873 0.3066 0.3257 0.3541 0.3729 0.4011 0.4198 0.1318 0.1325 0.1483 0.1627 0.1765 0.1899 0.2030 0.2160 0.2352 0.2478 0.2668 0.2793 2583.6 2621.9 2692.9 2760.2 2826.1 2891.6 2957.3 3023.6 3124.4 3192.6 3296.8 3367.4 2778.1 2827.9 2920.4 3008.2 3093.9 3178.9 3263.9 3349.3 3478.5 3565.6 3697.9 3787.2 6.5865 6.6940 6.8817 7.0465 7.1962 7.3349 7.4651 7.5883 7.7622 7.8720 8.0290 8.1290 2594.5 2598.1 2676.9 2748.6 2817.1 2884.4 2951.3 3018.5 3120.3 3189.1 3293.9 3364.8 2792.2 2796.8 2899.3 2992.7 3081.9 3169.2 3255.8 3342.5 3473.1 3560.9 3694.0 3783.8 6.4448 6.4546 6.6628 6.8381 6.9938 7.1363 7.2690 7.3940 7.5698 7.6805 7.8385 7.9391 P = 2000 kPa = 2.0 MPa (Tsat = 212.42oC) P = 3000 kPa = 3.0 MPa (Tsat = 233.90oC) 0.0996 0.1085 0.1200 0.1308 0.1411 0.1512 0.1611 0.1757 0.1853 0.1996 0.2091 0.2232 0.0667 0.0682 0.0771 0.0850 0.0923 0.0994 0.1062 0.1162 0.1227 0.1324 0.1388 0.1484 2600.3 2659.6 2736.4 2807.9 2877.0 2945.2 3013.4 3116.2 3185.6 3290.9 3362.2 3470.9 2799.5 2876.5 2976.4 3069.5 3159.3 3247.6 3335.5 3467.6 3556.1 3690.1 3780.4 3917.4 6.3409 6.4952 6.6828 6.8452 6.9917 7.1271 7.2540 7.4317 7.5434 7.7024 7.8035 7.9487 T-20 2604.1 2619.7 2709.9 2788.4 2861.7 2932.8 3002.9 3108.0 3178.4 3285.0 3357.0 3466.5 2804.2 2824.3 2941.3 3043.4 3138.7 3230.9 3321.5 3456.5 3546.6 3682.3 3773.5 3911.7 6.1869 6.2265 6.4462 6.6245 6.7801 6.9212 7.0520 7.2338 7.3474 7.5085 7.6106 7.7571 T [oC] Sat. 180 200 240 280 320 360 400 440 500 600 700 Sat. 200 240 280 320 360 400 440 500 540 600 640 Sat. 240 280 320 360 400 440 500 540 600 640 700 Table 12. Properties of Superheated Water Vapor T [oC] v [m3/kg] u [kJ/kg] h [kJ/kg] s [kJ/(kg∙K)] v [m3/kg] P = 4000 kPa = 4.0 MPa (Tsat = 250.4oC) Sat. 280 320 360 400 440 500 540 600 640 700 740 0.04978 0.05546 0.06199 0.06788 0.07341 0.07872 0.08643 0.09145 0.09885 0.1037 0.1110 0.1157 2602.3 2680.0 2767.4 2845.7 2919.9 2992.2 3099.5 3171.1 3279.1 3351.8 3462.1 3536.6 2801.4 2901.8 3015.4 3117.2 3213.6 3307.1 3445.3 3536.9 3674.4 3766.6 3905.9 3999.6 0.02352 0.02682 0.03089 0.03432 0.03742 0.04034 0.04313 0.04582 0.04845 0.05102 0.05481 0.05729 2569.8 2662.7 2772.7 2863.8 2946.7 3025.7 3102.7 3178.7 3254.4 3330.1 3443.9 3520.4 2758.0 2877.2 3019.8 3138.3 3246.1 3348.4 3447.7 3545.3 3642.0 3738.3 3882.4 3978.7 6.0701 6.2568 6.4553 6.6215 6.7690 6.9041 7.0901 7.2056 7.3688 7.4720 7.6198 7.7141 0.03244 0.03317 0.03876 0.04331 0.04739 0.05122 0.05665 0.06015 0.06525 0.06859 0.07352 0.07677 0.01426 0.01811 0.02108 0.02355 0.02576 0.02781 0.02977 0.03164 0.03345 0.03610 0.03781 2513.7 2678.4 2798.3 2896.1 2984.4 3068.0 3149.0 3228.7 3307.5 3425.2 3503.7 2684.9 2895.7 3051.3 3178.7 3293.5 3401.8 3506.2 3608.3 3709.0 3858.4 3957.4 s [kJ/(kg∙K)] T [oC] 2589.7 2605.2 2720.0 2811.2 2892.9 2970.0 3082.2 3156.1 3266.9 3341.0 3453.1 3528.3 2784.3 2804.2 2952.6 3071.1 3177.2 3277.3 3422.2 3517.0 3658.4 3752.6 3894.1 3989.2 5.8892 5.9252 6.1846 6.3782 6.5408 6.6853 6.8803 6.9999 7.1677 7.2731 7.4234 7.5190 Sat. 280 320 360 400 440 500 540 600 640 700 740 P = 10,000 kPa = 10.0 MPa (Tsat = 311.06oC) 5.7432 5.9489 6.1819 6.3634 6.5190 6.6586 6.7871 6.9072 7.0206 7.1283 7.2812 7.3782 0.01803 0.01925 0.02331 0.02641 0.02911 0.03160 0.03394 0.03619 0.03837 0.04048 0.04358 0.04560 P = 12,000 kPa = 12.0 MPa (Tsat = 324.75oC) Sat. 360 400 440 480 520 560 600 640 700 740 h [kJ/kg] P = 6000 kPa = 6.0 MPa (Tsat = 275.64oC) P = 8000 kPa = 8.0 MPa (Tsat = 295.06oC) Sat. 320 360 400 440 480 520 560 600 640 700 740 u [kJ/kg] 2544.4 2588.8 2729.1 2832.4 2922.1 3005.4 3085.6 3164.1 3241.7 3318.9 3434.7 3512.1 2724.7 2781.3 2962.1 3096.5 3213.2 3321.4 3425.1 3526.0 3625.3 3723.7 3870.5 3968.1 5.6141 5.7103 6.0060 6.2120 6.3805 6.5282 6.6622 6.7864 6.9029 7.0131 7.1687 7.2670 Sat. 320 360 400 440 480 520 560 600 640 700 740 P = 14,000 kPa = 14.0 MPa (Tsat = 336.75oC) 5.4924 5.8361 6.0747 6.2586 6.4154 6.5555 6.6840 6.8037 6.9164 7.0749 7.1746 0.01149 0.01422 0.01722 0.01954 0.02157 0.02343 0.02517 0.02683 0.02843 0.03075 0.03225 T-21 2476.8 2617.4 2760.9 2868.6 2962.5 3049.8 3133.6 3215.4 3296.0 3415.7 3495.2 2637.6 2816.5 3001.9 3142.2 3264.5 3377.8 3486.0 3591.1 3694.1 3846.2 3946.7 5.3717 5.6602 5.9448 6.1474 6.3143 6.4610 6.5941 6.7172 6.8326 6.9939 7.0952 Sat. 360 400 440 480 520 560 600 640 700 740 Table 12. Properties of Superheated Water Vapor T [oC] v [m3/kg] u [kJ/kg] h [kJ/kg] s [kJ/(kg∙K)] v [m3/kg] P = 16,000 kPa = 16.0 MPa (Tsat = 347.44oC) Sat. 360 400 440 480 520 560 600 640 700 740 0.00931 0.01105 0.01426 0.01652 0.01842 0.02013 0.02172 0.02323 0.02467 0.02674 0.02808 2431.7 2539.0 2719.4 2839.4 2939.7 3031.1 3117.8 3201.8 3284.2 3406.0 3486.7 2580.6 2715.8 2947.6 3103.7 3234.4 3353.3 3465.4 3573.5 3678.9 3833.9 3935.9 0.00583 0.00994 0.01222 0.01399 0.01551 0.01689 0.01818 0.01940 0.02113 0.02224 0.02385 2293.0 2619.3 2774.9 2891.2 2992.0 3085.2 3174.0 3260.2 3386.4 3469.3 3592.7 2409.7 2818.1 3019.4 3170.8 3302.2 3423.0 3537.6 3648.1 3809.0 3914.1 4069.7 5.2455 5.4614 5.8175 6.0429 6.2215 6.3752 6.5132 6.6399 6.7580 6.9224 7.0251 0.00749 0.00809 0.01190 0.01414 0.01596 0.01757 0.01904 0.02042 0.02174 0.02362 0.02483 0.00383 0.00712 0.00885 0.01020 0.01136 0.01241 0.01338 0.01473 0.01558 0.01680 0.01873 2223.5 2613.2 2780.8 2906.8 3015.7 3115.6 3210.3 3346.1 3433.9 3563.1 3774.3 2330.7 2812.6 3028.5 3192.3 3333.7 3463.0 3584.8 3758.4 3870.0 4033.4 4298.8 s [kJ/(kg∙K)] T [oC] 2374.3 2418.9 2672.8 2808.2 2915.9 3011.8 3101.7 3188.0 3272.3 3396.3 3478.0 2509.1 2564.5 2887.0 3062.8 3203.2 3378.0 3444.4 3555.6 3663.6 3821.5 3925.0 5.1044 5.1922 5.6887 5.9428 6.1345 6.2960 6.4392 6.5696 6.6905 6.8580 6.9623 Sat. 360 400 440 480 520 560 600 640 700 740 P = 24,000 kPa = 24.0 MPa 4.9269 5.5540 5.8450 6.0518 6.2218 6.3705 6.5048 6.6286 6.7993 6.9052 7.0544 0.00673 0.00929 0.01100 0.01241 0.01366 0.01481 0.01588 0.01739 0.01835 0.01974 P = 28,000 kPa = 28.0 MPa 400 440 480 520 560 600 640 700 740 800 900 h [kJ/kg] P = 18,000 kPa = 18.0 MPa (Tsat = 357.06oC) P = 20,000 kPa = 20.0 MPa (Tsat = 365.81oC) Sat. 400 440 480 520 560 600 640 700 740 800 u [kJ/kg] 2477.8 2700.6 2838.3 2950.5 3051.1 3145.2 3235.5 3366.4 3451.7 3578.0 2639.4 2923.4 3102.3 3248.5 3379.0 3500.7 3616.7 3783.8 3892.1 4051.6 5.2393 5.6506 5.8950 6.0842 6.2448 6.3875 6.5174 6.6947 6.8038 6.9567 Sat. 400 440 480 520 560 600 640 700 740 800 P = 32,000 kPa = 32.0 MPa 4.7494 5.4494 5.7446 5.9566 6.1307 6.2823 6.4187 6.6029 6.7153 6.8720 7.1084 0.00236 0.00544 0.00722 0.00853 0.00963 0.01061 0.01150 0.01273 0.01350 0.01460 0.01633 T-22 1980.4 2509.0 2718.1 2860.7 2979.0 3085.3 3184.5 3325.4 3415.9 3548.0 3762.7 2055.9 2683.0 2949.2 3133.7 3287.2 3424.6 3552.5 3732.8 3847.8 4015.1 4285.1 4.3239 5.2327 5.5968 5.8357 6.0246 6.1858 6.3290 6.5203 6.6361 6.7996 7.0372 400 440 480 520 560 600 640 700 740 800 900 Table 13. Properties of Compressed Liquid Water T [oC] v [m3/kg] u [kJ/kg] h [kJ/kg] s [kJ/(kg∙K)] v [m3/kg] P = 2500 kPa = 2.5 MPa (Tsat = 223.99oC) 20 40 80 100 140 180 200 220 Sat. 0.0010006 0.0010067 0.0010280 0.0010423 0.0010784 0.0011261 0.0011555 0.0011898 0.0011973 83.80 167.25 334.29 418.24 587.82 761.16 849.9 940.7 959.1 86.30 169.77 336.86 420.85 590.52 763.97 852.8 943.7 962.1 0.0009984 0.0010045 0.0010256 0.0010397 0.0010752 0.0011219 0.0011835 0.0012696 0.0013677 83.50 166.64 333.15 416.81 585.72 758.13 936.2 1124.4 1282.0 90.99 174.18 340.84 424.62 593.78 766.55 945.1 1134.0 1292.2 0.2961 0.5715 1.0737 1.3050 1.7369 2.1375 2.3294 2.5174 2.5546 0.0009995 0.0010056 0.0010268 0.0010410 0.0010768 0.0011240 0.0011530 0.0011866 0.0012859 0.0009953 0.0010013 0.0010222 0.0010361 0.0010707 0.0011159 0.0011748 0.0012550 0.0013770 0.0016581 83.06 165.76 331.48 414.74 582.66 753.76 929.9 1114.6 1316.6 1585.6 97.99 180.78 346.81 430.28 598.72 770.50 947.5 1133.4 1337.3 1610.5 0.2950 0.5696 1.0704 1.3011 1.7317 2.1308 2.5083 2.8763 3.1649 0.0009972 0.0010034 0.0010245 0.0010385 0.0010737 0.0011199 0.0011805 0.0012645 0.0014524 0.0009907 0.0009971 0.0010313 0.0011344 0.0013442 82.47 164.60 412.08 834.5 1296.6 107.24 189.52 437.85 862.8 1330.2 T [oC] 83.65 166.95 333.72 417.52 586.76 759.63 848.1 938.4 1147.8 88.65 171.97 338.85 422.72 592.15 765.25 853.9 944.4 1154.2 0.2956 0.5705 1.0720 1.3030 1.7343 2.1341 2.3255 2.5128 2.9202 20 40 80 100 140 180 200 220 Sat. 83.36 166.35 332.59 416.12 584.68 756.65 934.1 1121.1 1393.0 93.33 176.38 342.83 426.50 595.42 767.84 945.9 1133.7 1407.6 0.2945 0.5686 1.0688 1.2992 1.7292 2.1275 2.5039 2.8699 3.3596 20 40 80 100 140 180 220 260 Sat. P = 20,000 kPa = 20.0 MPa (Tsat = 365.81oC) 0.2934 0.5666 1.0656 1.2955 1.7242 2.1210 2.4953 2.8576 3.2260 3.6848 0.0009928 0.0009992 0.0010199 0.0010337 0.0010678 0.0011120 0.0011693 0.0012462 0.0013596 0.002036 P = 25,000 kPa = 25 MPa 20 40 100 200 300 s [kJ/(kg∙K)] P = 10,000 kPa = 10.0 MPa (Tsat = 311.06oC) P = 15,000 kPa = 15.0 MPa (Tsat = 342.24oC) 20 40 80 100 140 180 220 260 300 Sat. h [kJ/kg] P = 5000 kPa = 5.0 MPa (Tsat = 263.99oC) P = 7500 kPa = 7.5 MPa (Tsat = 290.59oC) 20 40 80 100 140 180 220 260 Sat. u [kJ/kg] 82.77 165.17 330.40 431.39 580.69 750.95 925.9 1108.6 1306.1 1785.6 102.62 185.16 350.80 434.06 602.04 773.20 949.3 1133.5 1333.3 1826.3 0.2923 0.5646 1.0624 1.2917 1.7193 2.1147 2.4870 2.8459 3.2071 4.0139 20 40 80 100 140 180 220 260 300 Sat. P = 30,000 kPa = 30.0 MPa 0.2911 0.5626 1.2881 2.2961 3.1900 0.0009886 0.0009951 0.0010290 0.0011302 0.0013304 T-23 82.17 164.04 410.78 831.4 1287.9 111.84 193.89 441.66 865.3 1327.8 0.2899 0.5607 1.2844 2.2893 3.1741 20 40 100 200 300 Table 14. Properties of Saturated Refrigerant 134a (Liquid-Vapor): Temperature Table Temp [oC] –40 –36 –32 –28 –26 –24 –22 –20 –18 –16 –12 –8 –4 0 4 8 12 16 20 24 26 28 30 32 34 36 38 40 42 44 48 52 56 60 70 80 90 100 Sat Pressure [kPa] 51.64 63.32 77.04 93.05 101.99 111.60 121.92 132.99 144.83 157.48 185.40 217.04 252.74 292.82 337.65 387.56 442.94 504.16 571.60 645.66 685.30 726.75 770.06 815.28 862.47 911.68 962.98 1016.4 1072.0 1129.9 1252.6 1385.1 1527.8 1681.3 2116.2 2632.4 3243.5 3974.2 Specific Volume [m3/kg] Sat. Sat. Liquid Vapor (vf) (vg) 0.0007055 0.3569 0.0007113 0.2947 0.0007172 0.2451 0.0007233 0.2052 0.0007265 0.1882 0.0007296 0.1728 0.0007328 0.1590 0.0007361 0.1464 0.0007395 0.1350 0.0007428 0.1247 0.0007498 0.1068 0.0007569 0.0919 0.0007644 0.0794 0.0007721 0.0689 0.0007801 0.0600 0.0007884 0.0525 0.0007971 0.0460 0.0008062 0.0405 0.0008157 0.0358 0.0008257 0.0317 0.0008309 0.0298 0.0008362 0.0281 0.0008417 0.0265 0.0008473 0.0250 0.0008530 0.0236 0.0008590 0.0223 0.0008651 0.0210 0.0008714 0.0199 0.0008780 0.0188 0.0008847 0.0177 0.0008989 0.0159 0.0009142 0.0142 0.0009308 0.0127 0.0009488 0.0114 0.0010027 0.0086 0.0010766 0.0064 0.0011949 0.0046 0.0015443 0.0027 Specific Internal Energy [kJ/kg] Sat. Sat. Liquid Vapor (uf) (ug) –0.04 204.45 4.68 206.73 9.47 209.01 14.31 211.29 16.75 212.43 19.21 213.57 21.68 214.70 24.17 245.84 26.67 216.97 29.18 218.10 34.25 220.36 39.38 222.60 44.56 224.84 49.79 227.06 55.08 229.27 60.43 231.46 65.83 223.63 71.29 235.78 76.80 237.91 82.37 240.01 85.18 241.05 88.00 242.08 90.84 243.10 93.70 244.12 96.58 245.12 99.47 246.11 102.38 247.09 105.30 248.06 108.25 249.02 111.22 249.96 117.22 251.79 123.31 253.55 129.51 255.23 135.82 256.81 152.22 260.15 169.88 262.14 189.82 261.34 218.60 248.49 Specific Enthalpy [kJ/kg] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) 0.00 222.88 222.88 4.73 220.67 225.40 9.52 218.37 227.90 14.37 216.01 230.38 16.82 214.80 231.62 19.29 213.57 232.85 21.77 212.32 234.08 24.26 211.05 235.31 26.77 209.76 236.53 29.30 208.45 237.74 34.39 205.77 240.15 39.54 203.00 242.54 44.75 200.15 244.90 50.02 197.21 247.23 55.35 194.19 249.53 60.73 191.07 251.80 66.18 187.85 254.03 71.69 184.52 256.22 77.26 181.09 258.36 82.90 177.55 260.45 85.75 175.73 261.48 88.61 173.89 262.50 91.49 172.00 263.50 94.39 170.09 264.48 97.31 168.14 265.45 100.25 166.15 266.40 103.21 164.12 267.33 106.19 162.05 268.24 109.19 159.94 269.14 112.22 157.79 270.01 118.35 153.33 274.68 124.58 148.66 273.24 130.93 143.75 274.68 137.42 138.57 275.99 154.34 124.08 278.43 172.71 106.41 279.12 193.69 82.63 276.32 224.74 34.40 259.13 Specific Entropy [kJ/(kg∙K)] Sat. Sat. Liquid Vapor (sf) (sg) 0.0000 0.9560 0.0201 0.9506 0.0401 0.9456 0.0600 0.9411 0.0699 0.9390 0.0798 0.9370 0.0897 0.9351 0.0996 0.9332 0.1094 0.9315 0.1192 0.9298 0.1388 0.9267 0.1583 0.9239 0.1777 0.9213 0.1970 0.9190 0.2162 0.9169 0.2354 0.9150 0.2545 0.9132 0.2735 0.9116 0.2924 0.9102 0.3113 0.9089 0.3208 0.9082 0.3302 0.9076 0.3396 0.9070 0.3490 0.9064 0.3584 0.9058 0.3678 0.9053 0.3772 0.9047 0.3866 0.9041 0.3960 0.9035 0.4054 0.9030 0.4243 0.9017 0.4432 0.9004 0.4622 0.8990 0.4814 0.8973 0.5302 0.8918 0.5814 0.8827 0.6380 0.8655 0.7196 0.8117 Temp [oC] –40 –36 –32 –28 –26 –24 –22 –20 –18 –16 –12 –8 –4 0 4 8 12 16 20 24 26 28 30 32 34 36 38 40 42 44 48 52 56 60 70 80 90 100 Source: Tables 14 through 16 are from M. J. Moran and H. N. Shapiro, Fundamentals of Engineering Thermodynamics, 6th Ed., John Wiley & Sons, Inc., 2008, pp. 833-837 (calculated based on equations for D. P. Wilson and R. S. Basu, “Thermodynamic Properties of a New Stratospherically Safe Working Fluid—Refrigerant 134a,” ASHRAE Trans., Vol. 94, Pt. 2, 1988, pp. 2095-2118). This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. T-24 Table 15. Properties of Saturated Refrigerant 134a (Liquid-Vapor): Pressure Table Specific Internal Energy [kJ/kg] Sat. Sat. Liquid Vapor (uf) (ug) 3.41 206.12 10.41 209.46 16.22 212.18 21.23 214.50 25.66 216.52 29.66 218.32 Press. (P) [kPa] 60 80 100 120 140 160 Sat Temp. (Tsat) [oC] –37.07 –31.21 –26.43 –22.36 –18.80 –15.62 Specific Volume [m3/kg] Sat. Sat. Liquid Vapor (vf) (vg) 0.0007097 0.3100 0.0007184 0.2366 0.0007258 0.1917 0.0007323 0.1614 0.0007381 0.1395 0.0007435 0.1229 180 200 240 280 320 360 –12.73 –10.09 –5.37 –1.23 2.48 5.84 0.0007485 0.0007532 0.0007618 0.0007697 0.0007770 0.0007839 0.1098 0.0993 0.0834 0.0719 0.0632 0.0564 33.31 36.69 42.77 48.18 53.06 57.54 219.94 221.43 224.07 226.38 228.43 230.28 33.45 36.84 42.95 48.39 53.31 57.82 206.26 204.46 201.14 198.13 195.35 192.76 239.71 241.30 244.09 246.52 248.66 250.58 0.1352 0.1481 0.1710 0.1911 0.2089 0.2251 0.9273 0.9253 0.9222 0.9197 0.9177 0.9160 180 200 240 280 320 360 400 500 600 700 800 900 8.93 15.74 21.58 26.72 31.33 35.53 0.0007904 0.0008056 0.0008196 0.0008328 0.0008454 0.0008576 0.0509 0.0409 0.0341 0.0292 0.0255 0.0226 61.69 70.93 78.99 86.19 92.75 98.79 231.97 235.64 238.74 241.42 243.78 245.88 62.00 71.33 79.48 86.78 93.42 99.56 190.32 184.74 179.71 175.07 170.73 166.62 252.32 256.07 259.19 261.85 264.15 266.18 0.2399 0.2723 0.2999 0.3242 0.3459 0.3656 0.9145 0.9117 0.9097 0.9080 0.9066 0.9054 400 500 600 700 800 900 1000 1200 1400 1600 1800 2000 2500 39.39 46.32 52.43 57.92 62.91 67.49 77.59 0.0008695 0.0008928 0.0009159 0.0009392 0.0009631 0.0009878 0.0010562 0.0202 0.0166 0.0140 0.0121 0.0105 0.0093 0.0069 104.42 114.69 123.98 132.52 140.49 148.02 165.48 247.77 251.03 253.74 256.00 257.88 259.41 261.84 105.29 115.76 125.26 134.02 142.22 149.99 168.12 162.68 155.23 148.14 141.31 134.60 127.95 111.06 267.97 270.99 273.40 275.33 276.83 277.94 279.17 0.3838 0.4164 0.4453 0.4714 0.4954 0.5178 0.5687 0.9043 0.9023 0.9003 0.8982 0.8959 0.8934 0.8854 1000 1200 1400 1600 1800 2000 2500 3000 86.22 0.0011416 0.0053 181.88 262.16 185.30 92.71 278.01 0.6156 0.8735 3000 T-25 Specific Enthalpy [kJ/kg] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) 3.46 221.27 224.72 10.47 217.92 228.39 16.29 215.06 231.35 21.32 212.54 233.86 25.77 210.27 236.04 29.78 208.19 237.97 Specific Entropy [kJ/(kg∙K)] Sat. Sat. Liquid Vapor (sf) (sg) 0.0147 0.9520 0.0440 0.9447 0.0678 0.9395 0.0879 0.9354 0.1055 0.9322 0.1211 0.9295 Press. (P) [kPa] 60 80 100 120 140 160 Table 16. Properties of Superheated Refrigerant 134a Vapor T [oC] v [m3/kg] u [kJ/kg] h [kJ/kg] s [kJ/(kg∙K)] v [m3/kg] P = 60 kPa = 0.06 MPa (Tsat = –37.07oC) Sat. –20 –10 0 10 20 30 40 50 60 70 80 90 0.31003 0.33536 0.34992 0.36433 0.37861 0.39279 0.40688 0.42091 0.43487 0.44879 0.46266 0.47650 0.49031 206.12 217.86 224.97 232.24 239.69 247.32 255.12 263.10 271.25 279.58 288.08 296.75 305.58 224.72 237.98 245.96 254.10 262.41 270.89 279.53 288.35 297.34 306.51 315.84 325.34 335.00 0.13945 0.14549 0.15219 0.15875 0.16520 0.17155 0.17783 0.18404 0.19020 0.19633 0.20241 0.20846 0.21449 216.52 223.03 230.55 238.21 246.01 253.96 262.06 270.32 278.74 287.32 296.06 304.95 314.01 236.04 243.40 251.86 260.43 269.13 277.97 286.96 296.09 305.37 314.80 324.39 334.14 344.04 0.9520 1.0062 1.0371 1.0675 1.0973 1.1267 1.1557 1.1844 1.2126 1.2405 1.2681 1.2954 1.3224 0.19170 0.19770 0.20686 0.21587 0.22473 0.23349 0.24216 0.25076 0.25930 0.26779 0.27623 0.28464 0.29302 0.09933 0.09938 0.10438 0.10922 0.11394 0.11856 0.12311 0.12758 0.13201 0.13639 0.14073 0.14504 0.14932 221.43 221.50 229.23 237.05 244.99 253.06 261.26 569.61 278.10 286.74 295.53 304.47 313.57 241.30 241.38 250.10 258.89 267.78 276.77 285.88 295.12 304.50 314.02 323.68 333.48 343.43 s [kJ/(kg∙K)] T [oC] 212.18 216.77 224.01 231.41 238.96 246.67 254.54 262.58 270.79 279.16 287.70 296.40 305.27 231.35 236.54 244.70 252.99 261.43 270.02 278.76 287.66 296.72 305.94 315.32 324.87 334.57 0.9395 0.9602 0.9918 1.0227 1.0531 1.0829 1.1122 1.1411 1.1696 1.1977 1.2254 1.2528 1.2799 Sat. –20 –10 0 10 20 30 40 50 60 70 80 90 P = 180 kPa = 0.18 MPa (Tsat = –12.73oC) 0.9322 0.9606 0.9922 1.0230 1.0532 1.0828 1.1120 1.1407 1.1690 1.1969 1.2244 1.2516 1.2785 0.10983 0.11135 0.11678 0.12207 0.12723 0.13230 0.13730 0.14222 0.14710 0.15193 0.15672 0.16148 0.16622 P = 200 kPa = 0.20 MPa (Tsat = –10.09oC) Sat. –10 0 10 20 30 40 50 60 70 80 90 100 h [kJ/kg] P = 100 kPa = 0.10 MPa (Tsat = –26.43oC) P = 140 kPa = 0.14 MPa (Tsat = –18.80oC) Sat. –10 0 10 20 30 40 50 60 70 80 90 100 u [kJ/kg] 219.94 222.02 229.67 237.44 245.33 253.36 261.53 269.85 278.31 286.93 295.71 304.63 313.72 239.71 242.06 250.69 259.41 268.23 277.17 286.24 295.45 304.79 314.28 323.92 333.70 343.63 0.9273 0.9362 0.9684 0.9998 1.0304 1.0604 1.0898 1.1187 1.1472 1.1753 1.2030 1.2303 1.2573 Sat. –10 0 10 20 30 40 50 60 70 80 90 100 P = 240 kPa = 0.24 MPa (Tsat = –5.37oC) 0.9253 0.9256 0.9582 0.9898 1.0206 1.0508 1.0804 1.1094 1.1380 1.1661 1.1939 1.2212 1.2483 T-26 0.08343 224.07 244.09 0.9222 0.08574 0.08993 0.09399 0.09794 0.10181 0.10562 0.10937 0.11307 0.11674 0.12037 0.12398 228.31 236.26 244.30 252.45 260.72 269.12 277.67 286.35 295.18 304.15 313.27 248.89 257.84 266.85 275.95 285.16 294.47 303.91 313.49 323.19 333.04 343.03 0.9399 0.9721 1.0034 1.0339 1.0637 1.0930 1.1218 1.1501 1.1780 1.2055 1.2326 Sat. –10 0 10 20 30 40 50 60 70 80 90 100 Table 16. Properties of Superheated Refrigerant 134a Vapor T [oC] v [m3/kg] u [kJ/kg] h [kJ/kg] s [kJ/(kg∙K)] v [m3/kg] P = 280 kPa = 0.28 MPa (Tsat = –1.23oC) Sat. 0 10 20 30 40 50 60 70 80 90 100 110 120 0.07193 0.07240 0.07613 0.07972 0.08320 0.08660 0.08992 0.09319 0.09641 0.09960 0.10275 0.10587 0.10897 0.11205 226.38 227.37 235.44 243.59 251.83 260.17 268.64 277.23 285.96 294.82 303.83 312.98 322.27 331.71 246.52 247.64 256.76 265.91 275.12 284.42 293.81 303.32 312.95 322.71 332.60 342.62 352.78 363.08 0.05089 0.05119 0.05397 0.05662 0.05917 0.06164 0.06405 0.06641 0.06873 0.07102 0.07327 0.07550 0.07771 0.07991 0.08208 231.97 232.87 241.37 249.89 258.47 267.13 275.89 284.75 293.73 302.84 312.07 321.44 330.94 340.58 350.35 252.32 253.35 262.96 272.54 282.14 291.79 301.51 311.32 321.23 331.25 341.38 351.64 362.03 372.54 383.18 0.9197 0.9238 0.9566 0.9883 1.0192 1.0494 1.0789 1.1079 1.1364 1.1644 1.1920 1.2193 1.2461 1.2727 0.03408 0.03581 0.03774 0.03958 0.04134 0.04304 0.04469 0.04631 0.04790 0.04946 0.05099 0.05251 0.05402 0.05550 0.05698 238.74 246.41 255.45 264.48 273.54 282.66 291.86 301.14 310.53 320.03 329.64 339.38 349.23 359.21 369.32 259.19 267.89 278.09 288.23 298.35 308.48 318.67 328.93 339.27 349.70 360.24 370.88 381.64 392.52 403.51 s [kJ/(kg∙K)] T [oC] 0.06322 228.43 248.66 0.9177 0.06576 0.06901 0.07214 0.07518 0.07815 0.08106 0.08392 0.08674 0.08953 0.09229 0.09503 0.09774 234.61 242.87 251.19 259.61 268.14 276.79 285.56 294.46 303.50 312.68 322.00 331.45 255.65 264.95 274.28 283.67 293.15 302.72 312.41 322.22 332.15 342.21 352.40 362.73 0.9427 0.9749 1.0062 1.0367 1.0665 1.0957 1.1243 1.1525 1.1802 1.2076 1.2345 1.2611 Sat. 0 10 20 30 40 50 60 70 80 90 100 110 120 P = 500 kPa = 0.50 MPa (Tsat = 15.74oC) 0.9145 0.9182 0.9515 0.9837 1.0148 1.0452 1.0748 1.1038 1.1322 1.1602 1.1878 1.2149 1.2417 1.2681 1.2941 P = 600 kPa = 0.60 MPa (Tsat = 21.58oC) Sat. 30 40 50 60 70 80 90 100 110 120 130 140 150 160 h [kJ/kg] P = 320 kPa = 0.32 MPa (Tsat = 2.48oC) P = 400 kPa = 0.40 MPa (Tsat = 8.93oC) Sat. 10 20 30 40 50 60 70 80 90 100 110 120 130 140 u [kJ/kg] 0.04086 235.64 256.07 0.9117 0.04188 0.04416 0.04633 0.04842 0.05043 0.05240 0.05432 0.05620 0.05805 0.05988 0.06168 0.06347 0.06524 239.40 248.20 256.99 265.83 274.73 283.72 292.80 302.00 311.31 320.74 330.30 339.98 349.79 260.34 270.28 280.16 290.04 299.95 309.92 319.96 330.10 340.33 350.68 361.14 371.72 382.42 0.9264 0.9597 0.9918 1.0229 1.0531 1.0825 1.1114 1.1397 1.1675 1.1949 1.2218 1.2484 1.2746 Sat. 10 20 30 40 50 60 70 80 90 100 110 120 130 140 P = 700 kPa = 0.70 MPa (Tsat = 26.72oC) 0.9097 0.9388 0.9719 1.0037 1.0346 1.0645 1.0938 1.1225 1.1505 1.1781 1.2053 1.2320 1.2584 1.2844 1.3100 0.02918 0.02979 0.03157 0.03324 0.03482 0.03634 0.03781 0.03924 0.04064 0.04201 0.04335 0.04468 0.04599 0.04729 0.04857 T-27 241.42 244.51 253.83 263.08 272.31 281.57 290.88 300.27 309.74 319.31 328.98 338.76 348.66 358.68 368.82 261.85 265.37 275.93 286.35 296.69 307.01 317.35 327.74 338.19 348.71 359.33 370.04 380.86 391.79 402.82 0.9080 0.9197 0.9539 0.9867 1.0182 1.0487 1.0784 1.1074 1.1358 1.1637 1.1910 1.2179 1.2444 1.2706 1.2963 Sat. 30 40 50 60 70 80 90 100 110 120 130 140 150 160 Table 16. Properties of Superheated Refrigerant 134a Vapor T [oC] v [m3/kg] u [kJ/kg] h [kJ/kg] s [kJ/(kg∙K)] v [m3/kg] P = 800 kPa = 0.80 MPa (Tsat = 31.33oC) Sat. 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 Sat. 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 Sat. 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 0.02547 0.02691 0.02846 0.02992 0.03131 0.03264 0.03393 0.03519 0.03642 0.03762 0.03881 0.03997 0.04113 0.04227 0.04340 0.04452 243.78 252.13 261.61 271.04 280.45 289.89 299.37 308.93 318.57 328.31 338.14 348.09 358.15 368.32 378.61 389.02 264.15 273.66 284.39 294.98 305.50 316.00 326.52 337.08 347.71 358.40 369.19 380.07 391.05 402.14 413.33 424.63 u [kJ/kg] h [kJ/kg] s [kJ/(kg∙K)] P = 900 kPa = 0.90 MPa (Tsat = 35.53oC) 0.9066 0.9374 0.9711 1.0034 1.0345 1.0647 1.0940 1.1227 1.1508 1.1784 1.2055 1.2321 1.2584 1.2843 1.3098 1.3351 0.02255 0.02325 0.02472 0.02609 0.02738 0.02861 0.02980 0.03095 0.03207 0.03316 0.03423 0.03529 0.03633 0.03736 0.03838 0.03939 245.88 250.32 260.09 269.72 279.30 288.87 298.46 308.11 317.82 327.62 337.52 347.51 357.61 367.82 378.14 388.57 266.18 271.25 282.34 293.21 303.94 314.62 325.28 335.96 346.68 357.47 368.33 379.29 390.31 401.44 412.68 424.02 0.9054 0.9217 0.9566 0.9897 1.0214 1.0521 1.0819 1.1109 1.1392 1.1670 1.1943 1.2211 1.2475 1.2735 1.2992 1.3245 P = 1000 kPa = 1.00 MPa (Tsat = 39.39oC) P = 1200 kPa = 1.20 MPa (Tsat = 46.32oC) 0.02020 0.02029 0.02171 0.02301 0.02423 0.02538 0.02649 0.02755 0.02858 0.02959 0.03058 0.03154 0.03250 0.03344 0.03436 0.03528 0.01663 251.03 270.99 0.9023 0.01712 0.01835 0.01947 0.02051 0.02150 0.02244 0.02335 0.02423 0.02508 0.02592 0.02674 0.02754 0.02834 0.02912 254.98 265.42 275.59 285.62 295.59 305.54 315.50 325.51 335.58 345.73 355.95 366.27 376.69 387.21 275.52 287.44 298.96 310.24 321.39 332.47 343.52 354.58 365.68 376.83 388.04 399.33 410.70 422.16 0.9164 0.9527 0.9868 1.0192 1.0503 1.0804 1.1096 1.1381 1.1660 1.1933 1.2201 1.2465 1.2724 1.2980 247.77 248.39 258.48 268.35 278.11 287.82 297.53 307.27 317.06 326.93 336.88 346.92 357.06 367.31 377.66 388.12 267.97 268.68 280.19 291.36 302.34 313.20 324.01 334.82 345.65 356.52 367.46 378.46 389.56 400.74 412.02 423.40 0.9043 0.9066 0.9428 0.9768 1.0093 1.0405 1.0707 1.1000 1.1286 1.1567 1.1841 1.2111 1.2376 1.2638 1.2895 1.3149 P = 1400 kPa = 1.40 MPa (Tsat = 52.43oC) P = 1600 kPa = 1.60 MPa (Tsat = 57.92oC) 0.01405 0.01495 0.01603 0.01701 0.01792 0.01878 0.01960 0.02039 0.02115 0.02189 0.02262 0.02333 0.02403 0.02472 0.02541 0.02608 0.01208 0.01233 0.01340 0.01435 0.01521 0.01601 0.01677 0.01750 0.01820 0.01887 0.01953 0.02017 0.02080 0.02141 0.02203 0.02263 253.74 262.17 272.87 283.29 293.55 303.73 313.88 324.05 334.25 344.50 354.82 365.22 375.71 386.29 396.96 407.73 273.40 283.10 295.31 307.10 318.63 330.02 341.32 352.59 363.86 375.15 386.49 397.89 409.36 420.90 432.53 444.24 T [oC] 0.9003 0.9297 0.9658 0.9997 1.0319 1.0628 1.0927 1.1218 1.1501 1.1777 1.2048 1.2315 1.2576 1.2834 1.3088 1.3338 T-28 256.00 258.48 269.89 280.78 291.39 301.84 312.20 322.53 332.87 343.24 353.66 364.15 374.71 385.35 396.08 406.90 275.33 278.20 291.33 303.74 315.72 327.46 339.04 350.53 361.99 373.44 384.91 396.43 407.99 419.62 431.33 443.11 0.8982 0.9069 0.9457 0.9813 1.0148 1.0467 1.0773 1.1069 1.1357 1.1638 1.1912 1.2181 1.2445 1.2704 1.2960 1.3212 Sat. 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 Sat. 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 Sat. 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 Table 17. Thermochemical Properties of Selected Substances at 298 K and 1 atm Formula C(s) Molecular Weight (M) [kg/kmol] 12.01 Enthalpy of Formation ( hf° ) [kJ/kmol] 0 Gibbs Function of Formation ( g f° ) [kJ/kmol] 0 Absolute Entropy ( s° ) [kJ/(kmol∙K)] 5.74 Higher (HHV) [kJ/kg] 32,770 Lower (LHV) [kJ/kg] 32,770 H2(g) N2(g) O2(g) CO(g) CO2(g) H2O(g) 2.016 28.01 32.00 28.01 44.01 18.02 0 0 0 –110,530 –393,520 –241,820 0 0 0 –137,150 –394,380 –228,590 130.57 191.50 205.03 197.54 213.69 188.72 141,780 ----------- 119,950 ----------- Ammonia Oxygen Hydrogen Nitrogen H2O(l) H2O2(g) NH3(g) O(g) H(g) N(g) 18.02 34.02 17.03 16.00 1.008 14.01 –285,830 –136,310 –46,190 249,170 218,000 472,680 –237,180 –105,600 –16,590 231,770 203,290 455,510 69.95 232.63 192.33 160.95 114.61 153.19 ------------- ------------- Hydroxyl Methane Acetylene Ethylene Ethane Propylene OH(g) CH4(g) C2H2(g) C2H4(g) C2H6(g) C3H6(g) 17.01 16.04 26.04 28.05 30.07 42.08 39,460 –74,850 226,730 52,280 –84,680 20,410 34,280 –50,790 209,170 68,120 –32,890 62,720 183.75 186.16 200.85 219.83 229.49 266.94 --55,510 49,910 50,300 51,870 48,920 --50,020 48,220 47,160 47,480 45,780 Propane Butane Pentane Octane Octane Benzene C3H8(g) C4H10(g) C5H12(g) C8H18(g) C8H18(l) C6H6(g) 44.09 58.12 72.15 114.22 114.22 78.11 –103,850 –126,150 –146,440 –208,450 –249,910 82,930 –23,490 –15,710 –8,200 17,320 6,610 129,660 269.91 310.03 348.40 463.67 360.79 269.20 50,350 49,500 49,010 48,260 47,900 42,270 46,360 45,720 45,350 44,790 44,430 40,580 CH3OH(g) CH3OH(l) C2H5OH(g) C2H5OH(l) 32.04 32.04 46.07 46.07 –200,890 –238,810 –235,310 –277,690 –162,140 –166,290 –168,570 174,890 239.70 126.80 282.59 160.70 23,850 22,670 30,590 29,670 21,110 19,920 27,720 26,800 Substance Carbon Hydrogen Nitrogen Oxygen Carbon monoxide Carbon dioxide Water Water Hydrogen peroxide Methyl alcohol Methyl alcohol Ethyl alcohol Ethyl alcohol Heating Values Source: M. J. Moran and H. N. Shapiro, Fundamentals of Engineering Thermodynamics, 6th Ed., John Wiley & Sons, Inc., 2008, p. 860 (based on the JANAF Thermochemical Tables, NSRDS-NBS-37, 1971; Selected Values of Chemical Thermodynamics Properties, NBS Tech. Note 270-3, 1968; and API Research Project 44, Carnegie Press, 1953. Heating values calculated). This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. T-29 Table 18. Isentropic Flow Functions (1-D flow, ideal gas, constant specific heat, k = 1.4) Ma 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.52 0.54 0.56 0.58 0.60 0.62 0.64 0.66 0.68 0.70 0.72 0.74 0.76 0.78 0.80 0.82 0.84 0.86 0.88 0.90 0.92 0.94 0.96 0.98 1.00 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 P/P0 1.0000 0.9983 0.9930 0.9844 0.9725 0.9575 0.9395 0.9188 0.8956 0.8703 0.8430 0.8317 0.8201 0.8082 0.7962 0.7840 0.7716 0.7591 0.7465 0.7338 0.7209 0.7080 0.6951 0.6821 0.6691 0.6560 0.6430 0.6300 0.6170 0.6041 0.5913 0.5785 0.5658 0.5532 0.5407 0.5283 0.5221 0.5160 0.5099 0.5039 0.4979 0.4919 0.4860 0.4800 0.4742 0.4684 ρ/ρ0 1.0000 0.9988 0.9950 0.9888 0.9803 0.9694 0.9564 0.9413 0.9243 0.9055 0.8852 0.8766 0.8679 0.8589 0.8498 0.8405 0.8310 0.8213 0.8115 0.8016 0.7916 0.7814 0.7712 0.7609 0.7505 0.7400 0.7295 0.7189 0.7083 0.6977 0.6870 0.6764 0.6658 0.6551 0.6445 0.6339 0.6287 0.6234 0.6181 0.6129 0.6077 0.6024 0.5972 0.5920 0.5869 0.5817 T-30 T/T0 1.0000 0.9995 0.9980 0.9955 0.9921 0.9877 0.9823 0.9761 0.9690 0.9611 0.9524 0.9487 0.9449 0.9410 0.9370 0.9328 0.9286 0.9243 0.9199 0.9153 0.9107 0.9061 0.9013 0.8964 0.8915 0.8865 0.8815 0.8763 0.8711 0.8659 0.8606 0.8552 0.8498 0.8444 0.8389 0.8333 0.8306 0.8278 0.8250 0.8222 0.8193 0.8165 0.8137 0.8108 0.8080 0.8052 A/A* 11.5914 5.8218 3.9103 2.9635 2.4027 2.0351 1.7780 1.5901 1.4487 1.3398 1.3034 1.2703 1.2403 1.2130 1.1882 1.1656 1.1451 1.1265 1.1097 1.0944 1.0806 1.0681 1.0570 1.0471 1.0382 1.0305 1.0237 1.0179 1.0129 1.0089 1.0056 1.0031 1.0014 1.0003 1.0000 1.0001 1.0003 1.0007 1.0013 1.0020 1.0029 1.0039 1.0051 1.0064 1.0079 Table 18. Isentropic Flow Functions (1-D flow, ideal gas, constant specific heat, k = 1.4) Ma 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.20 1.21 1.22 1.23 1.24 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60 1.65 1.70 1.75 1.80 1.85 1.90 1.95 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.50 4.00 4.50 5.00 5.50 6.00 P/P0 0.4626 0.4568 0.4511 0.4455 0.4398 0.4343 0.4287 0.4232 0.4178 0.4124 0.4070 0.4017 0.3964 0.3912 0.3861 0.3609 0.3370 0.3142 0.2927 0.2724 0.2533 0.2353 0.2184 0.2026 0.1878 0.1740 0.1612 0.1492 0.1381 0.1278 0.1094 0.0935 0.0800 0.0684 0.0585 0.0501 0.0430 0.0368 0.0317 0.0272 0.0131 0.0066 0.0035 0.0019 0.0011 0.0006 ρ/ρ0 0.5766 0.5714 0.5663 0.5612 0.5562 0.5511 0.5461 0.5411 0.5361 0.5311 0.5262 0.5213 0.5164 0.5115 0.5067 0.4829 0.4598 0.4374 0.4158 0.3950 0.3750 0.3557 0.3373 0.3197 0.3029 0.2868 0.2715 0.2570 0.2432 0.2300 0.2058 0.1841 0.1646 0.1472 0.1317 0.1179 0.1056 0.0946 0.0849 0.0762 0.0452 0.0277 0.0174 0.0113 0.0076 0.0052 T-31 T/T0 0.8023 0.7994 0.7966 0.7937 0.7908 0.7879 0.7851 0.7822 0.7793 0.7764 0.7735 0.7706 0.7677 0.7648 0.7619 0.7474 0.7329 0.7184 0.7040 0.6897 0.6754 0.6614 0.6475 0.6337 0.6202 0.6068 0.5936 0.5807 0.5680 0.5556 0.5313 0.5081 0.4859 0.4647 0.4444 0.4252 0.4068 0.3894 0.3729 0.3571 0.2899 0.2381 0.1980 0.1667 0.1418 0.1220 A/A* 1.0095 1.0113 1.0132 1.0153 1.0175 1.0198 1.0222 1.0248 1.0276 1.0304 1.0334 1.0366 1.0398 1.0432 1.0468 1.0663 1.0890 1.1149 1.1440 1.1762 1.2116 1.2502 1.2922 1.3376 1.3865 1.4390 1.4952 1.5553 1.6193 1.6875 1.8369 2.0050 2.1931 2.4031 2.6367 2.8960 3.1830 3.5001 3.8498 4.2346 6.7896 10.7188 16.5622 25.0000 36.8690 53.1798 Table 18. Isentropic Flow Functions (1-D flow, ideal gas, constant specific heat, k = 1.4) Ma 6.50 7.00 7.50 8.00 8.50 9.00 9.50 10.00 P/P0 0.0004 0.0002 0.0002 0.0001 0.0001 0.0000 0.0000 0.0000 ρ/ρ0 0.0036 0.0026 0.0019 0.0014 0.0011 0.0008 0.0006 0.0005 T-32 T/T0 0.1058 0.0926 0.0816 0.0725 0.0647 0.0581 0.0525 0.0476 A/A* 75.1343 104.1429 141.8415 190.1094 251.0862 327.1893 421.1314 535.9375 Table 19. Normal Shock Flow Functions (1-D flow, ideal gas, constant specific heat, k = 1.4) (a is upstream of shock wave; b is downstream of shock wave) Maa Mab Tb/Ta Pb/Pa ρb/ρa P0b/P0a A*b/A*a 1.00 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.20 1.21 1.22 1.23 1.24 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60 1.65 1.70 1.75 1.80 1.85 1.90 1.95 1.000 0.9901 0.9805 0.9712 0.9620 0.9531 0.9444 0.9360 0.9277 0.9196 0.9118 0.9041 0.8966 0.8892 0.8820 0.8750 0.8682 0.8615 0.8549 0.8485 0.8422 0.8360 0.8300 0.8241 0.8183 0.8126 0.7860 0.7618 0.7397 0.7196 0.7011 0.6841 0.6684 0.6540 0.6405 0.6281 0.6165 0.6057 0.5956 0.5862 1.000 1.007 1.013 1.020 1.026 1.033 1.039 1.046 1.052 1.059 1.065 1.071 1.078 1.084 1.090 1.097 1.103 1.109 1.115 1.122 1.128 1.134 1.141 1.147 1.153 1.159 1.191 1.223 1.255 1.287 1.320 1.354 1.388 1.423 1.458 1.495 1.532 1.569 1.608 1.647 1.000 1.023 1.047 1.071 1.095 1.120 1.144 1.169 1.194 1.219 1.245 1.271 1.297 1.323 1.350 1.376 1.403 1.430 1.458 1.485 1.513 1.541 1.570 1.598 1.627 1.656 1.805 1.960 2.120 2.286 2.458 2.636 2.820 3.010 3.205 3.406 3.613 3.826 4.045 4.270 1.000 1.017 1.033 1.050 1.067 1.084 1.101 1.118 1.135 1.152 1.169 1.186 1.203 1.221 1.238 1.255 1.272 1.290 1.307 1.324 1.342 1.359 1.376 1.394 1.411 1.429 1.516 1.603 1.690 1.776 1.862 1.947 2.032 2.115 2.198 2.279 2.359 2.438 2.516 2.592 1.0000 1.0000 1.0000 1.0000 0.9999 0.9999 0.9998 0.9996 0.9994 0.9992 0.9989 0.9986 0.9982 0.9978 0.9973 0.9967 0.9961 0.9953 0.9946 0.9937 0.9928 0.9918 0.9907 0.9896 0.9884 0.9871 0.9794 0.9697 0.9582 0.9448 0.9298 0.9132 0.8952 0.8760 0.8557 0.8346 0.8127 0.7902 0.7674 0.7442 1.0000 1.0000 1.0000 1.0000 1.0001 1.0001 1.0002 1.0004 1.0006 1.0008 1.0011 1.0014 1.0018 1.0022 1.0027 1.0033 1.0040 1.0047 1.0055 1.0063 1.0073 1.0083 1.0094 1.0105 1.0118 1.0131 1.0211 1.0312 1.0436 1.0584 1.0755 1.0951 1.1171 1.1416 1.1686 1.1982 1.2305 1.2655 1.3032 1.3437 T-33 Table 19. Normal Shock Flow Functions (1-D flow, ideal gas, constant specific heat, k = 1.4) (a is upstream of shock wave; b is downstream of shock wave) Maa Mab Tb/Ta Pb/Pa ρb/ρa P0b/P0a A*b/A*a 2.00 2.10 2.20 2.30 2.40 2.50 2.60 2.70 2.80 2.90 3.00 3.50 4.00 4.50 5.00 5.50 6.00 6.50 7.00 7.50 8.00 8.50 9.00 9.50 10.00 0.5774 0.5613 0.5471 0.5344 0.5231 0.5130 0.5039 0.4956 0.4882 0.4814 0.4752 0.4512 0.4350 0.4236 0.4152 0.4090 0.4042 0.4004 0.3974 0.3949 0.3929 0.3912 0.3898 0.3886 0.3876 1.688 1.770 1.857 1.947 2.040 2.138 2.238 2.343 2.451 2.563 2.679 3.315 4.047 4.875 5.800 6.822 7.941 9.156 10.47 11.88 13.39 14.99 16.69 18.49 20.39 4.500 4.978 5.480 6.005 6.553 7.125 7.720 8.338 8.980 9.645 10.33 14.13 18.50 23.46 29.00 35.13 41.83 49.13 57.00 65.46 74.50 84.13 94.33 105.1 116.5 2.667 2.812 2.951 3.085 3.212 3.333 3.449 3.559 3.664 3.763 3.857 4.261 4.571 4.812 5.000 5.149 5.268 5.365 5.444 5.510 5.565 5.612 5.651 5.685 5.714 0.7209 0.6742 0.6281 0.5833 0.5401 0.4990 0.4601 0.4236 0.3895 0.3577 0.3283 0.2129 0.1388 0.09170 0.06172 0.04236 0.02965 0.02115 0.01535 0.01133 0.008488 0.006449 0.004964 0.003866 0.003045 1.3872 1.4832 1.5920 1.7144 1.8514 2.0039 2.1733 2.3608 2.5676 2.7954 3.0456 4.6960 7.2069 10.9054 16.2032 23.6064 33.7257 47.2868 65.1403 88.2725 117.816 155.058 201.456 258.641 328.434 T-34 Section 1 List of Figures (SI Units) Figure Title / Page 1 Mollier Diagram (SI units) F-1 2 HFC-134a Pressure-Enthalpy Diagram (SI units) F-2 3 ASHRAE Psychrometric Chart No. 1 (SI units) F-3 Figure 1. Mollier Diagram (SI units) Courtesy of The Babcock & Wilcox Company F-1 HFC-134a Pressure-Enthalpy Diagram courtesy of DuPont Refrigerants. Figure 2. HFC-134a Pressure-Enthalpy Diagram (SI units) F-2 ASHRAE 2005 ASHRAE Handbook Fundamentals, SI Edition, Chapter 6, 2005. © American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc., www.ashrae.org. Figure 3. ASHRAE Psychrometric Chart No. 1 (SI units) F-3 Section 2 List of Tables (English Units) Table Title / Page 1E Molecular Weights and Critical Properties of Selected Substances TE-1 2E Physical Properties of Water TE-2 3E Physical Properties of Air at Standard Atmospheric Pressure TE-3 4E Approximate Physical Properties of Some Common Liquids TE-4 5E Approximate Physical Properties of Some Common Gases at Standard Atmospheric Pressure TE-4 6E Properties of the U.S. Standard Atmosphere TE-5 7E Ideal Gas Specific Heats of Some Common Gases TE-6 8E Ideal Gas Properties of Air TE-7 9E Ideal Gas Properties of Selected Gases TE-8 10E Properties of Saturated Water (Liquid-Vapor): Temperature Table TE-14 11E Properties of Saturated Water (Liquid-Vapor): Pressure [kPa] Table TE-17 12E Properties of Superheated Water TE-19 13E Properties of Compressed Liquid Water TE-25 14E Properties of Saturated Refrigerant 134a (Liquid-Vapor): Temperature Table TE-26 15E Properties of Saturated Refrigerant 134a (Liquid-Vapor): Pressure Table TE-27 16E Properties of Superheated Refrigerant 134a Vapor TE-28 17E Thermochemical Properties of Selected Substances at 537 R and 1 atm TE-31 Table 1E. Molecular Weights and Critical Properties of Selected Substances Formula Molecular Weight (M) [lbm/lbmol] Critical Temperature (TC) [R] Critical Pressure (PC) [psia] C2H2 26.04 556 911 28.97 239 547 NH3 17.03 730 1636 Ar 39.95 272 705 Benzene C6H6 78.11 1013 716 Butane C4H10 58.12 765 551 Carbon C 12.01 Carbon Dioxide CO2 44.01 548 1071 Carbon Monoxide CO 28.01 239 507 C2H6 30.07 549 708 C2H5OH 46.07 929 926 Ethylene C2H4 28.05 510 742 Helium He 4.003 9.33 33.2 Hydrogen H2 2.016 59.8 188 Methane CH4 16.04 344 673 CH3OH 32.04 924 1154 N2 28.01 227 492 Octane C8H18 114.22 1025 362 Oxygen O2 32.00 278 732 Propane C3H8 44.10 666 619 Propylene (Propene) C3H6 42.08 657 670 Water H2O 18.02 1165 3204 Substance Acetylene Air Ammonia Argon Ethane Ethyl Alcohol (Ethanol) Methyl Alcohol (Methanol) Nitrogen Sources: Formulas and Molecular Weights from Handbook of Chemistry and Physics, 84th Ed., CRC Press, Boca Raton, Florida, 2003. Critical Properties adapted from International Critical Tables. TE-1 Table 2E. Physical Properties of Water Temperature T [oF] Density Specific Weight Dynamic Viscosity Kinematic Viscosity Surface Tension [slug/ft3] [lbf/ft3] [(lbf∙s)/ft2] [ft2/s] [lbf/ft] 32 1.940 62.42 3.732 × 10–5 1.924 × 10–5 5.18 × 10–3 40 1.940 62.43 3.228 × 10–5 1.664 × 10–5 5.13 × 10–3 50 1.940 62.41 2.730 × 10–5 1.407 × 10–5 5.09 × 10–3 60 1.938 62.37 2.344 × 10–5 1.210 × 10–5 5.03 × 10–3 70 1.936 62.30 2.037 × 10–5 1.052 × 10–5 4.97 × 10–3 80 1.934 62.22 1.791 × 10–5 9.262 × 10–6 4.91 × 10–3 90 1.931 62.11 1.500 × 10–5 8.233 × 10–6 4.86 × 10–3 100 1.927 62.00 1.423 × 10–5 7.383 × 10–6 4.79 × 10–3 120 1.918 61.71 1.164 × 10–5 6.067 × 10–6 4.67 × 10–3 140 1.908 61.38 9.743 × 10–6 5.106 × 10–6 4.53 × 10–3 160 1.896 61.00 8.315 × 10–6 4.385 × 10–6 4.40 × 10–3 180 1.883 60.58 7.207 × 10–6 3.827 × 10–6 4.26 × 10–3 200 1.869 60.12 6.342 × 10–6 3.393 × 10–6 4.12 × 10–3 212 1.860 59.83 5.886 × 10–6 3.165 × 10–6 4.04 × 10–3 ρ γ µ ν Source: Handbook of Chemistry and Physics, 84th Ed., CRC Press, Boca Raton, Florida, 2003. - Surface Tension values for contact with air. - Specific weight computed by γ = ρg. For this table, g = 32.174 ft/s2. - Kinematic Viscosity computed by ν = µ/ρ. TE-2 σ Table 3E. Physical Properties of Air at Standard Atmospheric Pressure Temperature T [oF] Density Specific Weight2 Dynamic Viscosity Kinematic Viscosity [slug/ft3] [lbf/ft3] [(lbf∙s)/ft2] [ft2/s] –40 2.939 × 10–3 0.09456 3.29 × 10–7 1.12 × 10–4 –20 2.805 × 10–3 0.09026 3.34 × 10–7 1.19 × 10–4 0 2.683 × 10–3 0.08633 3.38 × 10–7 1.26 × 10–4 10 2.626 × 10–3 0.08449 3.44 × 10–7 1.31 × 10–4 20 2.571 × 10–3 0.08273 3.50 × 10–7 1.36 × 10–4 30 2.519 × 10–3 0.08104 3.58 × 10–7 1.42 × 10–4 40 2.469 × 10–3 0.07942 3.60 × 10–7 1.46 × 10–4 50 2.420 × 10–3 0.07786 3.68 × 10–7 1.52 × 10–4 60 2.373 × 10–3 0.07636 3.75 × 10–7 1.58 × 10–4 70 2.329 × 10–3 0.07492 3.82 × 10–7 1.64 × 10–4 80 2.286 × 10–3 0.07353 3.86 × 10–7 1.69 × 10–4 90 2.244 × 10–3 0.07219 3.90 × 10–7 1.74 × 10–4 100 2.204 × 10–3 0.07090 3.94 × 10–7 1.79 × 10–4 120 2.128 × 10–3 0.06846 4.02 × 10–7 1.89 × 10–4 140 2.057 × 10–3 0.06617 4.13 × 10–7 2.01 × 10–4 160 1.990 × 10–3 0.06404 4.22 × 10–7 2.12 × 10–4 180 1.928 × 10–3 0.06204 4.34 × 10–7 2.25 × 10–4 200 1.870 × 10–3 0.06016 4.49 × 10–7 2.40 × 10–4 300 1.624 × 10–3 0.05224 4.97 × 10–7 3.06 × 10–4 400 1.435 × 10–3 0.04616 5.24 × 10–7 3.65 × 10–4 500 1.285 × 10–3 0.04135 5.80 × 10–7 4.51 × 10–4 750 1.020 × 10–3 0.03280 6.81 × 10–7 6.68 × 10–4 1000 8.445 × 10–4 0.02717 7.85 × 10–7 9.30 × 10–4 1500 6.291 × 10–4 0.02024 9.50 × 10–7 1.51 × 10–3 ρ γ µ ν Source: Density and kinematic viscosity based on data from R. D. Blevins, Applied Fluid Dynamics Handbook, Van Nostrand Reinhold Co., Inc., New York, 1984. - Specific weight computed by γ = ρg. For this table, g = 32.174 ft/s2. - Dynamic Viscosity computed by µ = νρ. TE-3 Table 4E. Approximate Physical Properties of Some Common Liquids Specific Weight Dynamic Viscosity Kinematic Viscosity Surface Tension1 Liquid Temperature T [oF] Density [slugs/ft3] [lbf/ft3] [(lbf∙s)/ft2] [ft2/s] Ethyl alcohol 68 1.53 49.3 2.49 × 10–5 Gasoline3 60 1.32 42.5 Glycerin 68 2.44 Mercury 68 SAE 30 oil3 [lbf/ft] Vapor Pressure Pv [lbf/in2](abs) Bulk Modulus2 Ev [lbf/in2] 1.63 × 10–5 1.56 × 10–3 0.85 1.54 × 105 6.5× 10–6 4.9 × 10–6 1.5 × 10–3 8.0 1.9 × 105 78.6 3.13 × 10–2 1.28 × 10–2 4.34 × 10–3 2.0 × 10–6 6.56 × 105 26.3 847 3.28 × 10–5 1.25 × 10–6 3.19 × 10–2 2.3 × 10–5 4.14 × 106 60 1.77 57.0 8.0 × 10–3 4.5 × 10–3 2.5 × 10–3 -- 2.2 × 105 Seawater 60 1.99 64.0 2.51 × 10–5 1.26 × 10–5 5.03 × 10–3 0.256 3.39 × 105 Water 60 1.94 62.4 2.34 × 10–5 1.21 × 10–5 5.03 × 10–3 0.256 3.12 × 105 ρ γ µ ν σ 1 In contact with air. Isentropic bulk modulus calculated from speed of sound. 3 Typical values. Properties of petroleum products vary. 2 Source: B. R. Munson, D. F. Young, T. H. Okiishi, and W. W. Huebsch, Fundamentals of Fluid Mechanics, 6th Ed., John Wiley & Sons, Inc., New York, 2009. This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. Table 5E. Approximate Physical Properties of Some Common Gases at Standard Atmospheric Pressure Density Specific Weight Dynamic Viscosity Kinematic Viscosity Gas Temperature T [oF] [slugs/ft3] [lbf/ft3] [(lbf∙s)/ft2] [ft2/s] Air (standard) 59 2.38 × 10–3 7.65 × 10–2 3.74 × 10–7 1.57 × 10–4 Carbon dioxide 68 3.55 × 10–3 1.14 × 10–1 3.07 × 10–7 8.65 × 10–5 Helium 68 3.23 × 10–4 1.04 × 10–2 4.09 × 10–7 1.27 × 10–3 Hydrogen 68 1.63 × 10–4 5.25 × 10–3 1.85 × 10–7 1.13 × 10–3 Methane (natural gas) 68 1.29 × 10–3 4.15 × 10–2 2.29 × 10–7 1.78 × 10–4 Nitrogen 68 2.26 × 10–3 7.28 × 10–2 3.68 × 10–7 1.63 × 10–4 Oxygen 68 2.58 × 10–3 8.31 × 10–2 4.25 × 10–7 1.65 × 10–4 ρ γ µ ν Source: B. R. Munson, D. F. Young, T. H. Okiishi, and W. W. Huebsch, Fundamentals of Fluid Mechanics, 6th Ed., John Wiley & Sons, Inc., New York, 2009. This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. TE-4 Table 6E. Properties of the U.S. Standard Atmosphere Acceleration of Gravity g [ft/s2] Pressure P [lbf/in2 (abs)] Density Dynamic Viscosity Altitude [ft] Temperature T [oF] [slugs/ft3] [(lbf∙s)/ft2] –5,000 76.84 32.189 17.554 2.745 × 10–3 3.836 × 10–7 0 59.00 32.174 14.696 2.377 × 10–3 3.737 × 10–7 5,000 41.17 32.159 12.228 2.048 × 10–3 3.637 × 10–7 10,000 23.36 32.143 10.108 1.756 × 10–3 3.534 × 10–7 15,000 5.55 32.128 8.297 1.496 × 10–3 3.430 × 10–7 20,000 –12.26 32.112 6.759 1.267 × 10–3 3.324 × 10–7 25,000 –30.05 32.097 5.461 1.066 × 10–3 3.217 × 10–7 30,000 –47.83 32.082 4.373 8.907 × 10–4 3.107 × 10–7 35,000 –65.61 32.066 3.468 7.382 × 10–4 2.995 × 10–7 40,000 –69.70 32.051 2.730 5.873 × 10–4 2.969 × 10–7 45,000 –69.70 32.036 2.149 4.623 × 10–4 2.969 × 10–7 50,000 –69.70 32.020 1.692 3.639 × 10–4 2.969 × 10–7 60,000 –69.70 31.990 1.049 2.256 × 10–4 2.969 × 10–7 70,000 –67.42 31.959 0.651 1.392 × 10–4 2.984 × 10–7 80,000 –61.98 31.929 0.406 8.571 × 10–5 3.018 × 10–7 90,000 –56.54 31.897 0.255 5.610 × 10–5 3.052 × 10–7 100,000 –51.10 31.868 0.162 3.318 × 10–5 3.087 × 10–7 ρ Source: Data abridged from U.S. Standard Atmosphere, 1976, U.S. Government Printing Office, Washington, D.C. TE-5 µ Table 7E. Ideal Gas Specific Heats of Some Common Gases cP cv [BTU/(lbm∙R)] [BTU/(lbm∙R)] Temp. [oF] –10 80 170 260 350 440 530 620 710 800 890 980 1070 1160 1250 1340 0.240 0.240 0.241 0.242 0.244 0.246 0.248 0.251 0.254 0.257 0.260 0.262 0.265 0.268 0.270 0.273 cP cv [BTU/(lbm∙R)] [BTU/(lbm∙R)] Temp. [oF] –10 80 170 260 350 440 530 620 710 800 890 980 1070 1160 1250 1340 Air 0.171 0.171 0.172 0.173 0.175 0.177 0.180 0.182 0.185 0.188 0.191 0.194 0.197 0.199 0.202 0.204 3.356 3.417 3.446 3.458 3.463 3.466 3.470 3.474 3.480 3.488 3.498 3.510 3.525 3.540 3.559 3.579 Hydrogen (H2) 2.371 2.432 2.461 2.473 2.478 2.481 2.485 2.489 2.495 2.503 2.513 2.525 2.539 2.555 2.574 2.594 k 1.401 1.400 1.398 1.395 1.391 1.387 1.381 1.376 1.370 1.364 1.359 1.354 1.349 1.344 1.340 1.336 k 1.415 1.405 1.400 1.398 1.397 1.397 1.396 1.396 1.395 1.394 1.392 1.390 1.388 1.386 1.383 1.380 cP cv [BTU/(lbm∙R)] [BTU/(lbm∙R)] k Carbon Dioxide (CO2) 0.189 0.144 1.314 0.202 0.157 1.288 0.214 0.169 1.268 0.224 0.179 1.252 0.234 0.189 1.239 0.242 0.197 1.229 0.250 0.205 1.220 0.257 0.212 1.213 0.263 0.218 1.207 0.269 0.224 1.202 0.274 0.229 1.197 0.279 0.234 1.193 0.284 0.238 1.189 0.288 0.243 1.186 0.291 0.246 1.183 0.295 0.250 1.181 cP cv [BTU/(lbm∙R)] [BTU/(lbm∙R)] 0.248 0.248 0.249 0.249 0.251 0.252 0.254 0.257 0.259 0.262 0.265 0.268 0.271 0.274 0.276 0.279 Nitrogen (N2) 0.177 0.177 0.178 0.178 0.180 0.181 0.183 0.186 0.188 0.191 0.194 0.197 0.200 0.203 0.205 0.208 k 1.400 1.400 1.399 1.397 1.395 1.391 1.387 1.381 1.376 1.371 1.365 1.360 1.355 1.350 1.345 1.341 cP cv [BTU/(lbm∙R)] [BTU/(lbm∙R)] k Carbon Monoxide (CO) 0.248 0.177 1.400 0.249 0.178 1.399 0.249 0.178 1.398 0.250 0.179 1.395 0.252 0.181 1.392 0.254 0.183 1.387 0.257 0.186 1.382 0.260 0.189 1.376 0.263 0.192 1.370 0.266 0.195 1.364 0.269 0.198 1.358 0.272 0.201 1.352 0.275 0.204 1.347 0.278 0.207 1.343 0.280 0.210 1.338 0.283 0.212 1.334 cP cv [BTU/(lbm∙R)] [BTU/(lbm∙R)] 0.218 0.219 0.222 0.225 0.228 0.232 0.236 0.240 0.243 0.246 0.249 0.252 0.254 0.256 0.258 0.260 Oxygen (O2) 0.156 0.157 0.160 0.163 0.166 0.170 0.174 0.177 0.181 0.184 0.187 0.190 0.192 0.194 0.196 0.198 Temp. [oF] –10 80 170 260 350 440 530 620 710 800 890 980 1070 1160 1250 1340 k Temp. [oF] 1.398 1.395 1.389 1.382 1.373 1.365 1.357 1.350 1.343 1.337 1.332 1.327 1.323 1.319 1.316 1.313 Source: Values for cP determined from data available in Tables of Thermal Properties of Gases by Joseph Hilsenrath, Charles W. Beckett, William S. Benedict, Lilla Fano, Harold J. Hoge, Joseph F. Masi, Ralph L. Nuttall, Yeram S. Touloukian, and Harold W. Woolley, National Bureau of Standards Circular 564, U.S. Government Printing Office, Washington 25, D.C., issued November 1, 1955. - Values for cv determined from cv = cP – R. - Values for k determined from k = cP/cv. TE-6 –10 80 170 260 350 440 530 620 710 800 890 980 1070 1160 1250 1340 Table 8E. Ideal Gas Properties of Air when ∆s = 0 when ∆s = 0 T h u so T h u so [R] [BTU/lbm] [BTU/lbm] [BTU/(lbm∙R)] Pr vr [R] [BTU/lbm] [BTU/lbm] [BTU/(lbm∙R)] Pr vr 360 380 400 420 440 460 480 500 520 537 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1040 1080 1120 1160 1200 1240 1280 1320 1360 1400 1440 1480 1520 1560 1600 1650 1700 1750 1800 1850 1900 1950 85.97 90.75 95.53 100.32 105.11 109.90 114.69 119.48 124.27 128.34 129.06 133.86 138.66 143.47 148.28 153.09 157.92 162.73 167.56 172.39 177.23 182.08 186.94 191.81 196.69 201.56 206.46 211.35 216.26 221.18 226.11 231.06 236.02 240.98 250.95 260.97 271.03 281.14 291.30 301.52 311.79 322.11 332.48 342.90 353.37 363.89 374.47 385.08 395.74 409.13 422.59 436.12 449.71 463.37 477.09 490.88 61.29 64.70 68.11 71.52 74.93 78.36 81.77 85.20 88.62 91.53 92.04 95.47 98.90 102.34 105.78 109.21 112.67 116.12 119.58 123.04 126.51 129.99 133.47 136.97 140.47 143.98 147.50 151.02 154.57 158.12 161.68 165.26 168.83 172.43 179.66 186.93 194.25 201.63 209.05 216.53 224.05 231.63 239.25 246.93 254.66 262.44 270.26 278.13 286.06 296.03 306.06 316.16 326.32 336.55 346.85 357.20 0.50369 0.51663 0.52890 0.54058 0.55172 0.56235 0.57255 0.58233 0.59172 0.59945 0.60078 0.60950 0.61793 0.62607 0.63395 0.64159 0.64902 0.65621 0.66321 0.67002 0.67665 0.68312 0.68942 0.69558 0.70160 0.70747 0.71323 0.71886 0.72438 0.72979 0.73509 0.74030 0.74540 0.75042 0.76019 0.76964 0.77880 0.78767 0.79628 0.80466 0.81280 0.82075 0.82848 0.83604 0.84341 0.85062 0.85767 0.86456 0.87130 0.87954 0.88758 0.89542 0.90308 0.91056 0.91788 0.92504 0.3363 0.4061 0.4858 0.5760 0.6776 0.7913 0.9182 1.0590 1.2147 1.3593 1.3860 1.5742 1.7800 2.005 2.249 2.514 2.801 3.111 3.446 3.806 4.193 4.607 5.051 5.526 6.033 6.573 7.149 7.761 8.411 9.102 9.834 10.61 11.43 12.30 14.18 16.28 18.60 21.18 24.01 27.13 30.55 34.31 38.41 42.88 47.75 53.04 58.78 65.00 71.73 80.89 90.95 101.98 114.0 127.2 141.5 157.1 396.6 346.6 305.0 270.1 240.6 215.33 193.65 174.90 158.58 146.34 144.32 131.78 120.70 110.88 102.12 94.30 87.27 80.96 75.25 70.07 65.38 61.10 57.20 53.63 50.35 47.34 44.57 42.01 39.64 37.44 35.41 33.52 31.76 30.12 27.17 24.58 22.30 20.29 18.51 16.93 15.52 14.25 13.12 12.10 11.17 10.34 9.578 8.890 8.263 7.556 6.924 6.357 5.847 5.388 4.974 4.598 2000 2050 2100 2150 2200 2250 2300 2350 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000 3050 3100 3150 3200 3250 3300 3350 3400 3450 3500 3550 3600 3650 3700 3750 3800 3850 3900 3950 4000 4050 4100 4150 4200 4300 4400 4500 4600 4700 4800 4900 5000 5100 5200 5300 504.71 518.61 532.55 546.54 560.59 574.69 588.82 603.00 617.22 631.48 645.78 660.12 674.49 688.90 703.35 717.83 732.33 746.88 761.45 776.05 790.68 805.34 820.03 834.75 849.48 864.24 879.02 893.83 908.66 923.52 938.40 953.30 968.21 983.15 998.11 1013.1 1028.1 1043.1 1058.1 1073.2 1088.3 1103.4 1118.5 1133.6 1148.7 1179.0 1209.4 1239.9 1270.4 1300.9 1331.5 1362.2 1392.9 1423.6 1454.4 1485.3 367.61 378.08 388.60 399.17 409.78 420.46 431.16 441.91 452.70 463.54 474.40 485.31 496.26 507.25 518.26 529.31 540.40 551.52 562.66 573.84 585.04 596.28 607.53 618.82 630.12 641.46 652.81 664.20 675.60 687.04 698.48 709.95 721.44 732.95 744.48 756.04 767.60 779.19 790.80 802.43 814.06 825.72 837.40 849.09 860.81 884.28 907.81 931.39 955.04 978.73 1002.5 1026.3 1050.1 1074.0 1098.0 1122.0 0.93205 0.93891 0.94564 0.95222 0.95868 0.96501 0.97123 0.97732 0.98331 0.98919 0.99497 1.00064 1.00623 1.01172 1.01712 1.02244 1.02767 1.03282 1.03788 1.04288 1.04779 1.05264 1.05741 1.06212 1.06676 1.07134 1.07585 1.08031 1.08470 1.08904 1.09332 1.09755 1.10172 1.10584 1.10991 1.11393 1.11791 1.12183 1.12571 1.12955 1.13334 1.13709 1.14079 1.14446 1.14809 1.15522 1.16221 1.16905 1.17575 1.18232 1.18876 1.19508 1.20129 1.20738 1.21336 1.21923 174.0 192.3 212.1 233.5 256.6 281.4 308.1 336.8 367.6 400.5 435.7 473.3 513.5 556.3 601.9 650.4 702.0 756.7 814.8 876.4 941.4 1011 1083 1161 1242 1328 1418 1513 1613 1719 1829 1946 2068 2196 2330 2471 2618 2773 2934 3103 3280 3464 3656 3858 4067 4513 4997 5521 6089 6701 7362 8073 8837 9658 10539 11481 4.258 3.949 3.667 3.410 3.176 2.961 2.765 2.585 2.419 2.266 2.125 1.996 1.876 1.765 1.662 1.566 1.478 1.395 1.318 1.247 1.180 1.118 1.060 1.006 0.9546 0.9069 0.8621 0.8202 0.7807 0.7436 0.7087 0.6759 0.6449 0.6157 0.5882 0.5621 0.5376 0.5143 0.4923 0.4715 0.4518 0.4331 0.4154 0.3985 0.3826 0.3529 0.3262 0.3019 0.2799 0.2598 0.2415 0.2248 0.2096 0.1956 0.1828 0.1710 Source: M. J. Moran and H. N. Shapiro, Fundamentals of Engineering Thermodynamics, 6th Ed.,John Wiley & Sons, Inc., 2008, pp. 903904. This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. TE-7 Table 9E. Ideal Gas Properties of Selected Gases Carbon Dioxide (CO2) Carbon Monoxide (CO) Water Vapor (H2O) T h u so h u so h u so T [R] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [R] 300 320 340 360 380 400 420 440 460 480 500 520 537 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 2108.2 2256.6 2407.3 2560.5 2716.4 2874.7 3035.7 3199.4 3365.7 3534.7 3706.2 3880.3 4027.5 4056.8 4235.8 4417.2 4600.9 4786.6 4974.9 5165.2 5357.6 5552.0 5748.4 5946.8 6147.0 6349.1 6552.9 6758.3 6965.7 7174.7 7385.3 7597.6 7811.4 8026.8 8243.8 8462.2 8682.1 8903.4 9126.2 9350.3 9575.8 9802.6 10,030.6 10,260.1 10,490.6 10,722.3 10,955.3 11,189.4 11,424.6 11,661.0 11,898.4 12,136.9 12,376.4 12,617.0 12,858.5 13,101.0 1512.4 1621.1 1732.1 1845.6 1961.8 2080.4 2201.7 2325.6 2452.2 2581.5 2713.3 2847.7 2963.8 2984.4 3123.7 3265.4 3409.4 3555.6 3704.0 3854.6 4007.2 4161.9 4318.6 4477.3 4637.9 4800.1 4964.2 5129.9 5297.6 5466.9 5637.7 5810.3 5984.4 6160.1 6337.4 6516.1 6696.2 6877.8 7060.9 7245.3 7431.1 7618.1 7806.4 7996.2 8187.0 8379.0 8572.3 87.66.6 8962.1 9158.8 9356.5 9555.3 9755.0 9955.9 10,157.7 10,360.5 46.353 46.832 47.289 47.728 48.148 48.555 48.947 49.329 49.698 50.058 50.408 50.750 51.032 51.082 51.408 51.726 52.038 52.343 52.641 52.934 53.225 53.503 53.780 54.051 54.319 54.582 54.839 55.093 55.343 55.589 55.831 56.070 56.305 56.536 56.765 56.990 57.212 57.432 57.647 57.861 58.072 58.281 58.485 58.689 58.889 59.088 59.283 59.477 59.668 59.858 60.044 60.229 60.412 60.593 60.772 60.949 2081.9 2220.9 2359.9 2498.8 2637.9 2776.9 2916.0 3055.0 3194.0 3333.0 3472.1 3611.2 3725.1 3750.3 3889.5 4028.7 4168.0 4307.4 4446.9 4586.6 4726.2 4866.0 5006.1 5146.4 5286.8 5427.4 5568.2 5709.4 5850.7 5992.3 6134.2 6276.4 6419.0 6561.7 6704.9 6848.4 6992.2 7136.4 7281.0 7425.9 7571.1 7716.8 7862.9 8009.2 8156.1 8303.3 8450.8 8598.8 8747.2 8896.0 9045.0 9194.6 9344.6 9494.8 9645.5 9796.6 1486.1 1585.4 1684.7 1783.9 1883.3 1982.6 2081.9 2181.2 2280.5 2379.8 2479.2 2578.6 2663.1 2677.9 2777.4 2876.9 2976.5 3076.2 3175.9 3275.8 3375.8 3475.9 3576.3 3676.9 3777.5 3878.4 3979.5 4081.0 4182.6 4284.5 4386.6 4489.1 4592.0 4695.0 4798.5 4902.3 5006.3 5110.8 5215.7 5320.9 5426.4 5532.3 5638.7 5745.4 5851.5 5960.0 6067.8 6176.0 6284.7 6393.8 6503.1 6613.0 3723.2 6833.7 6944.7 7056.1 43.223 43.672 44.093 44.490 44.866 45.223 45.563 45.886 46.194 46.491 46.775 47.048 47.272 47.310 47.563 47.807 48.044 48.272 48.494 48.709 48.917 49.120 49.317 49.509 49.697 49.880 50.058 50.232 50.402 50.569 50.732 50.892 51.048 51.202 51.353 51.501 51.646 51.788 51.929 52.067 52.203 52.337 52.468 52.598 52.726 52.852 52.976 53.098 53.218 53.337 53.455 53.571 53.685 53.799 53.910 54.021 2367.6 2526.8 2686.0 2845.1 3004.4 3163.8 3323.2 3482.7 3642.3 3802.0 3962.0 4122.0 4258.0 4282.4 4442.8 4603.7 4764.7 4926.1 5087.8 5250.0 5412.5 5575.4 5738.8 5902.6 6066.9 6231.7 6396.9 6562.6 6728.9 6895.6 7062.9 7230.9 7399.4 7568.4 7738.0 7908.2 8078.9 8250.4 8422.4 8595.0 8768.2 8942.0 9116.4 9291.4 9467.1 9643.4 9820.4 9998.0 10,176.1 10,354.9 10,534.4 10,714.5 10,895.3 11,076.6 11,258.7 11,441.4 1771.8 1891.3 2010.8 2130.2 2249.8 2369.4 2489.1 2608.9 2728.8 2848.8 2969.1 3089.4 3191.9 3210.0 3330.7 3451.9 3573.2 3694.9 3816.8 3939.3 4062.1 4185.3 4309.0 4433.1 4557.6 4682.7 4808.2 4934.2 5060.8 5187.8 5315.3 5443.6 5572.4 5701.7 5831.6 5962.0 6093.0 6224.8 6357.1 6490.0 6623.5 6757.5 6892.2 7027.5 7163.5 7300.1 7437.4 7575.2 7713.6 7852.7 7992.5 8132.9 8274.0 8415.5 8557.9 8700.9 40.439 40.952 41.435 41.889 42.320 42.728 43.117 43.487 43.841 44.182 44.508 44.821 45.079 45.124 45.415 45.696 45.970 46.235 46.492 46.741 46.984 47.219 47.450 47.673 47.893 48.106 48.316 48.520 48.721 48.916 49.109 49.298 49.483 49.665 49.843 50.019 50.191 50.360 50.528 50.693 50.854 51.013 51.171 51.325 51.478 51.630 51.777 51.925 52.070 52.212 52.354 52.494 52.631 52.768 52.903 53.037 300 320 340 360 380 400 420 440 460 480 500 520 537 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 TE-8 Table 9E. Ideal Gas Properties of Selected Gases Oxygen (O2) Nitrogen (N2) T h u so h u so T [R] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [R] 300 320 340 360 380 400 420 440 460 480 500 520 537 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 2073.5 2212.6 2351.7 2490.8 2630.0 2769.1 2908.3 3047.5 3186.9 3326.5 3466.2 3606.1 3725.1 3746.2 3886.6 4027.3 4168.3 4309.7 4451.4 4593.5 4736.2 4879.3 5022.9 5167.0 5311.4 5456.4 5602.0 5748.1 5894.8 6041.9 6189.6 6337.9 6486.7 6636.1 6786.0 6936.4 7087.5 7238.9 7391.0 7543.6 7696.8 7850.4 8004.5 8159.1 8314.2 8469.8 8625.8 8782.4 8939.4 9096.7 9254.6 9412.9 9571.6 9730.7 9890.2 10,050.1 1477.8 1577.1 1676.5 1775.9 1875.3 1974.8 2074.3 2173.8 2273.4 2373.3 2473.2 2573.4 2658.7 2673.8 2774.5 2875.5 2976.8 3078.4 3180.4 3282.9 3385.8 3489.2 3593.1 3697.4 3802.2 3907.5 4013.3 4119.7 4226.6 4334.1 4442.0 4550.6 4659.7 4769.4 4879.5 4990.3 5101.6 5213.3 5325.7 5438.6 5552.1 5665.9 5780.3 5895.2 6010.6 6126.5 6242.8 6359.6 6476.9 6594.5 6712.7 6831.3 6950.2 7069.6 7189.4 7309.6 44.927 45.375 45.797 46.195 46.571 46.927 47.267 47.591 47.900 48.198 48.483 48.757 48.982 49.021 49.276 49.522 49.762 49.993 50.218 50.437 50.650 50.858 51.059 51.257 51.450 51.638 51.821 52.002 52.179 52.352 52.522 52.688 52.852 53.012 53.170 53.326 53.477 53.628 53.775 53.921 54.064 54.204 54.343 54.480 54.614 54.748 54.879 55.008 55.136 55.262 55.386 55.508 55.630 55.750 55.867 55.984 2082.0 2221.0 2360.0 2498.9 2638.0 2777.0 2916.1 3055.1 3194.1 3333.1 3472.2 3611.3 3729.5 3750.3 3889.5 4028.7 4167.9 4307.1 4446.4 4585.8 4725.3 4864.9 5004.5 5144.3 5284.1 5424.2 5564.4 5704.7 5845.3 5985.9 6126.9 6268.1 6409.6 6551.2 6693.1 6835.4 6977.9 7120.7 7263.8 7407.2 7551.0 7695.0 7839.3 7984.0 8129.0 8274.4 8420.0 8566.1 8712.6 8859.3 9006.4 9153.9 9301.8 9450.0 9598.6 9747.5 1486.2 1585.5 1684.4 1784.0 1883.4 1982.6 2082.0 2181.3 2280.6 2379.9 2479.3 2578.6 2663.1 2678.0 2777.4 2876.9 2976.4 3075.9 3175.5 3275.2 3374.9 3474.8 3574.7 3674.7 3774.9 3875.2 3975.7 4076.3 4177.1 4278.1 4379.4 4480.8 4582.6 4684.5 4786.7 4889.3 4992.0 5095.1 5198.5 5302.2 5406.2 5510.5 5615.2 5720.1 5825.4 5931.0 6037.0 6143.4 6250.1 6357.2 6464.5 6572.3 6680.4 6788.9 6897.8 7007.0 41.695 42.143 42.564 42.962 43.337 43.694 44.034 44.357 44.665 44.962 45.246 45.519 45.743 45.781 46.034 46.278 46.514 46.742 46.964 47.178 47.386 47.588 47.785 47.977 48.164 48.345 48.522 48.696 48.865 49.031 49.193 49.352 49.507 49.659 49.808 49.955 50.099 50.241 50.380 50.516 50.651 50.783 50.912 51.040 51.167 51.291 51.413 51.534 51.653 51.771 51.887 51.001 52.114 52.225 52.335 52.444 300 320 340 360 380 400 420 440 460 480 500 520 537 540 560 580 600 620 640 660 680 700 720 740 760 780 800 820 840 860 880 900 920 940 960 980 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 TE-9 Table 9E. Ideal Gas Properties of Selected Gases Carbon Dioxide (CO2) Carbon Monoxide (CO) Water Vapor (H2O) T h u so h u so h u so T [R] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [R] 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 1640 1660 1680 1700 1720 1740 1760 1780 1800 1820 1840 1860 1900 1940 1980 2020 2060 2100 2140 2180 2220 2260 2300 2340 2380 2420 2460 2500 2540 2580 2620 2660 2700 2740 2780 2820 2860 2900 2940 2980 3020 3060 3100 3140 13,344.7 13,589.1 13,834.5 14,080.8 14,328.0 14,576.0 14,824.9 15,074.7 15,325.3 15,576.7 15,829.0 16,081.9 16,335.7 16,590.2 16,845.5 17,101.4 17,358.1 17,615.5 17,873.5 18,132.2 18,391.5 18,651.5 18,912.2 19,173.4 19,698 20,224 20,753 21,284 21,818 22,353 22,890 23,429 23,970 24,512 25,056 25,602 26,150 26,699 27,249 27,801 28,355 28,910 29,465 30,023 30,581 31,141 31,702 32,264 32,827 33,392 33,957 34,523 35,090 35,659 36,228 36,798 10,564.5 10,769.2 10,974.8 11,181.4 11,388.9 11,597.2 11,806.4 12,016.5 12,227.3 12,439.0 12,651.6 12,864.8 13,078.9 13,293.7 13,509.2 13,725.4 13,942.4 14,160.1 14,378.4 14,597.4 14,816.9 15,037.2 15,258.2 15,479.7 15,925 16,372 16,821 17,273 17,727 18,182 18,640 19,101 19,561 20,024 20,489 20,955 21,423 21,893 22,364 22,837 23,310 23,786 24,262 24,740 25,220 25,701 26,181 26,664 27,148 27,633 28,118 28,605 29,093 29,582 30,072 30,562 61.124 61.298 61.469 61.639 61.800 61.974 62.138 62.302 62.464 62.624 62.783 62.939 63.095 63.250 63.403 63.555 63.704 63.853 64.001 64.147 64.292 64.435 64.578 64.719 64.999 65.272 65.543 65.809 66.069 66.327 66.581 66.830 67.076 67.319 67.557 67.792 68.025 68.253 68.479 68.702 68.921 69.138 69.352 69.563 69.771 69.977 70.181 70.382 70.580 70.776 70.970 71.160 71.350 71.537 71.722 71.904 9948.1 10,100.0 10,252.2 10,404.8 10,557.8 10,711.1 10,864.9 11,019.0 11,173.4 11,328.2 11,483.4 11,638.9 11,794.7 11,950.9 12,107.5 12,264.3 12,421.4 12,579.0 12,736.7 12,894.9 13,053.2 13,212.0 13,371.0 13,530.2 13,850 14,170 14,492 14,815 15,139 15,463 15,789 16,116 16,443 16,722 17,101 17,431 17,762 18,093 18,426 18,759 19,093 19,427 19,762 20,098 20,434 20,771 21,108 21,446 21,785 22,124 22,463 22,803 23,144 23,485 23,826 24,168 7167.9 7280.1 7392.6 7505.4 7618.7 7732.3 7846.4 7960.8 8075.4 8190.5 8306.0 8421.8 8537.9 8654.4 8771.2 8888.3 9005.7 9123.6 9241.6 9360.0 9478.6 9597.7 9717.0 9836.5 10,077 10,318 10,560 10,803 11,048 11,293 11,539 11,787 12,035 12,284 12,534 12,784 13,035 13,287 13,541 13,794 14,048 14,303 14,559 14,815 15,072 15,330 15,588 15,846 16,105 16,365 16,625 16,885 17,146 17,408 17,670 17,932 54.129 54.237 54.344 54.448 54.522 54.665 54.757 54.858 54.958 55.056 55.154 55.251 55.347 55.411 55.535 55.628 55.720 55.811 55.900 55.990 56.078 56.166 56.253 56.339 56.509 56.677 56.841 57.007 57.161 57.317 57.470 57.621 57.770 57.917 58.062 58.204 58.344 58.482 58.619 58.754 58.885 59.016 59.145 59.272 59.398 59.521 59.644 59.765 59.884 60.002 60.118 60.232 60.346 60.458 60.569 60.679 11,624.8 11,808.8 11,993.4 12,178.8 12,364.8 12,551.4 12,738.8 12,926.8 13,115.6 13,305.0 13,494.4 13,685.7 13,877.0 14,069.2 14,261.9 14,455.4 14,649.5 14,844.3 15,039.8 15,236.1 15,433.0 15,630.6 15,828.7 16,027.6 16,428 16,830 17,235 17,643 18,054 18,467 18,883 19,301 19,722 20,145 20,571 20,999 21,429 21,862 22,298 22,735 23,175 23,618 24,062 24,508 24,957 25,408 25,861 26,316 26,773 27,231 27,692 28,154 28,619 29,085 29,553 30,023 8844.6 8988.9 9133.8 9279.4 9425.7 9572.7 9720.3 9868.6 10,017.6 10,167.3 10,317.6 10,468.6 10,620.2 10,772.7 10,925.6 11,079.4 11,233.8 11,388.9 11,544.7 11,701.2 11,858.4 12,016.3 12,174.7 12,333.9 12,654 12,977 13,303 13,632 13,963 14,297 14,633 14,972 15,313 15,657 16,003 16,352 16,703 17,057 17,413 17,771 18,131 18,494 18,859 19,226 19,595 19,967 20,340 20,715 21,093 21,472 21,853 22,237 22,621 23,085 23,397 23,787 53.168 53.299 53.428 53.556 53.682 53.808 53.932 54.055 54.117 54.298 54.418 54.535 54.653 54.770 54.886 54.999 55.113 55.226 55.339 55.449 55.559 55.668 55.777 55.884 56.097 56.307 56.514 56.719 56.920 57.119 57.315 57.509 57.701 57.889 58.077 58.261 58.445 58.625 58.803 58.980 59.155 59.328 59.500 59.669 59.837 60.003 60.167 60.330 60.490 60.650 60.809 60.965 61.120 61.274 61.426 61.577 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 1640 1660 1680 1700 1720 1740 1760 1780 1800 1820 1840 1860 1900 1940 1980 2020 2060 2100 2140 2180 2220 2260 2300 2340 2380 2420 2460 2500 2540 2580 2620 2660 2700 2740 2780 2820 2860 2900 2940 2980 3020 3060 3100 3140 TE-10 Table 9E. Ideal Gas Properties of Selected Gases Oxygen (O2) Nitrogen (N2) T h u so h u so T [R] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [R] 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 1640 1660 1680 1700 1720 1740 1760 1780 1800 1820 1840 1860 1900 1940 1980 2020 2060 2100 2140 2180 2220 2260 2300 2340 2380 2420 2460 2500 2540 2580 2620 2660 2700 2740 2780 2820 2860 2900 2940 2980 3020 3060 3100 3140 10,210.4 10,371.0 10,532.0 10,693.3 10,855.1 11,017.1 11,179.6 11,342.4 11,505.4 11,668.8 11,832.5 11,996.6 12,160.9 12,325.5 12,490.4 12,655.6 12,821.1 12,986.9 13,153.0 13,319.2 13,485.8 13,652.5 13,819.6 13,986.8 14,322 14,658 14,995 15,333 15,672 16,011 16,351 16,692 17,036 17,376 17,719 18,062 18,407 18,572 19,097 19,443 19,790 20,138 20,485 20,834 21,183 21,533 21,883 22,232 22,584 22,936 23,288 23,641 23,994 24,348 24,703 25,057 7430.1 7551.1 7672.4 7793.9 7916.0 8038.3 8161.1 8284.2 8407.4 8531.1 8655.1 8779.5 8904.1 9029.0 9154.1 9279.6 9405.4 9531.5 9657.9 9784.4 9911.2 10,038.2 10,165.6 10,293.1 10,549 10,806 11,063 11,321 11,581 11,841 12,101 12,363 12,625 12,888 13,151 13,416 13,680 13,946 14,212 14,479 14,746 15,014 15,282 15,551 15,821 16,091 16,362 16,633 16,905 17,177 17,450 17,723 17,997 18,271 18,546 18,822 56.099 56.213 56.326 56.437 56.547 56.656 56.763 56.869 56.975 57.079 57.182 57.284 57.385 57.484 57.582 57.680 57.777 57.873 57.968 58.062 58.155 58.247 58.339 58.428 58.607 58.782 58.954 59.123 59.289 59.451 59.612 59.770 59.926 60.077 60.228 60.376 60.522 60.666 60.808 60.946 61.084 61.220 61.354 61.486 61.616 61.744 61.871 61.996 62.120 62.242 62.363 62.483 62.599 62.716 62.831 62.945 9896.9 10,046.6 10,196.6 10,347.0 10,497.8 10,648.0 10,800.4 10,952.2 11,104.3 11,256.9 11,409.7 11,562.8 11,716.4 11,870.2 12,024.3 12,178.9 12,333.7 12,488.8 12,644.3 12,800.2 12,956.3 13,112.7 13,269.5 13,426.5 13,742 14,058 14,375 14,694 15,013 15,334 15,656 15,978 16,302 16,626 16,951 17,277 17,604 17,932 18,260 18,590 18,919 19,250 19,582 19,914 20,246 20,580 20,914 21,248 21,584 21,920 22,256 22,593 22,930 23,268 23,607 23,946 7116.7 7226.7 7337.0 7447.6 7558.7 7670.1 7781.9 7893.9 8006.4 8119.2 8232.3 8345.7 8459.6 8573.6 8688.1 8802.9 8918.0 9033.4 9149.2 9265.3 9381.7 9498.4 9615.5 9732.8 9968 10,205 10,443 10,682 10,923 11,164 11,406 11,649 11,893 12,138 12,384 12,630 12,878 13,126 13,375 13,625 13,875 14,127 14,379 14,631 14,885 15,139 15,393 15,648 15,905 16,161 16,417 16,675 16,933 17,192 17,451 17,710 52.551 52.658 52.763 52.867 52.969 53.071 53.171 53.271 53.369 53.465 53.561 53.656 53.751 53.844 53.936 54.028 54.118 54.208 54.297 54.385 54.472 54.559 54.645 54.729 54.896 55.061 55.223 55.383 55.540 55.694 55.846 55.995 56.141 56.286 56.429 56.570 56.708 56.845 56.980 57.112 57.243 57.372 57.499 57.625 57.750 57.872 57.993 58.113 58.231 58.348 58.463 58.576 58.688 58.800 58.910 59.019 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 1640 1660 1680 1700 1720 1740 1760 1780 1800 1820 1840 1860 1900 1940 1980 2020 2060 2100 2140 2180 2220 2260 2300 2340 2380 2420 2460 2500 2540 2580 2620 2660 2700 2740 2780 2820 2860 2900 2940 2980 3020 3060 3100 3140 TE-11 Table 9E. Ideal Gas Properties of Selected Gases Carbon Dioxide (CO2) Carbon Monoxide (CO) Water Vapor (H2O) T h u so h u so h u so T [R] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [R] 3180 3220 3260 3300 3340 3380 3420 3460 3500 3540 3580 3620 3660 3700 3740 3780 3820 3860 3900 3940 3980 4020 4060 4100 4140 4180 4220 4260 4300 4340 4380 4420 4460 4500 4540 4580 4620 4660 4700 4740 4780 4820 4860 4900 5000 5100 5200 5300 37,369 37,941 38,513 39,087 39,661 40,236 40,812 41,338 41,965 42,543 43,121 43,701 44,280 44,861 45,442 46,023 46,605 47,188 47,771 48,355 48,939 49,524 50,109 50,695 51,282 51,868 52,456 53,044 53,632 54,221 54,810 55,400 55,990 56,581 57,172 57,764 58,356 58,948 59,541 60,134 60,728 61,322 61,916 62,511 64,000 65,491 66,984 68,471 31,054 31,546 32,039 32,533 33,028 33,524 34,020 34,517 35,015 35,513 36,012 36,512 37,012 37,513 38,014 38,517 39,019 39,522 40,026 40,531 41,035 41,541 42,047 42,553 43,060 43,568 44,075 44,584 45,093 45,602 46,112 46,622 47,133 47,645 48,156 48,668 49,181 49,694 50,208 50,721 51,236 51,750 52,265 52,781 54,071 55,363 56,658 57,954 72.085 72.264 72.441 72.616 72.788 72.960 73.129 73.297 73.462 73.627 73.789 73.951 74.110 74.267 74.423 74.578 74.732 74.884 75.033 75.182 75.330 75.477 75.622 75.765 75.907 76.048 76.188 76.327 76.464 76.601 76.736 76.870 77.003 77.135 77.266 77.395 77.581 77.652 77.779 77.905 78.029 78.153 78.276 78.398 78.698 78.994 79.284 79.569 24,510 24,853 25,196 25,539 25,883 26,227 26,572 26,917 27,262 27,608 27,954 28,300 28,647 28,994 29,341 29,688 30,036 30,384 30,733 31,082 31,431 31,780 32,129 32,479 32,829 33,179 33,530 33,880 34,231 34,582 34,934 35,285 35,637 35,989 36,341 36,693 37,046 37,398 37,751 38,104 38,457 38,811 39,164 39,518 40,403 41,289 42,176 43,063 18,195 18,458 18,722 18,986 19,250 19,515 19,780 20,045 20,311 20,576 20,844 21,111 21,378 21,646 21,914 22,182 22,450 22,719 22,988 23,257 23,527 23,797 24,067 24,337 24,608 24,878 25,149 25,421 25,692 25,934 26,235 26,508 26,780 27,052 27,325 27,598 27,871 28,144 28,417 28,691 28,965 29,239 29,513 29,787 30,473 31,161 31,849 32,538 60.787 60.894 61.000 61.105 61.209 61.311 61.412 61.513 61.612 61.710 61.807 61.903 61.998 62.093 62.186 62.279 62.370 62.461 61.511 62.640 62.728 62.816 62.902 62.988 63.072 63.156 63.240 63.323 63.405 63.486 63.567 63.647 63.726 63.805 63.883 63.960 64.036 64.113 64.188 64.263 64.337 64.411 64.484 64.556 64.735 64.910 65.082 65.252 30,494 30,967 31,442 31,918 32,396 32,876 33,357 33,839 34,324 34,809 35,296 35,785 36,274 36,765 37,258 37,752 38,247 38,743 39,240 39,739 40,239 40,740 41,242 41,745 42,250 42,755 43,267 43,769 44,278 44,788 45,298 45,810 46,322 46,836 47,350 47,866 48,382 48,899 49,417 49,936 50,455 50,976 51,497 52,019 53,327 54,640 55,957 57,279 24,179 24,572 24,968 25,365 25,763 26,164 26,565 26,968 27,373 27,779 28,187 28,596 29,006 29,418 29,831 30,245 30,661 31,077 31,495 31,915 32,335 32,757 33,179 33,603 34,028 34,454 34,881 35,310 35,739 36,169 36,600 37,032 37,465 37,900 38,334 38,770 39,207 39,645 40,083 40,523 40,963 41,404 41,856 42,288 43,398 44,512 45,631 46,754 61.727 61.874 62.022 62.167 62.312 62.454 62.597 62.738 62.875 63.015 63.153 63.288 63.423 63.557 63.690 63.821 63.952 64.082 64.210 64.338 64.465 64.591 64.715 64.839 64.962 65.084 65.204 65.325 65.444 65.563 65.680 65.797 65.913 66.028 66.142 66.255 66.368 66.480 66.591 66.701 66.811 66.920 67.028 67.135 67.401 67.662 67.918 68.172 3180 3220 3260 3300 3340 3380 3420 3460 3500 3540 3580 3620 3660 3700 3740 3780 3820 3860 3900 3940 3980 4020 4060 4100 4140 4180 4220 4260 4300 4340 4380 4420 4460 4500 4540 4580 4620 4660 4700 4740 4780 4820 4860 4900 5000 5100 5200 5300 TE-12 Table 9E. Ideal Gas Properties of Selected Gases Oxygen (O2) Nitrogen (N2) T h u so h u so T [R] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [R] 3180 3220 3260 3300 3340 3380 3420 3460 3500 3540 3580 3620 3660 3700 3740 3780 3820 3860 3900 3940 3980 4020 4060 4100 4140 4180 4220 4260 4300 4340 4380 4420 4460 4500 4540 4580 4620 4660 4700 4740 4780 4820 4860 4900 5000 5100 5200 5300 25,413 25,769 26,175 26,412 26,839 27,197 27,555 27,914 28,273 28,633 28,994 29,354 29,716 30,078 30,440 30,803 31,166 31,529 31,894 32,258 32,623 32,989 33,355 33,722 34,089 34,456 34,824 35,192 35,561 35,930 36,300 36,670 37,041 37,412 37,783 38,155 38,528 38,900 39,274 39,647 40,021 40,396 40,771 41,146 42,086 43,021 43,974 44,922 19,098 19,374 19,651 19,928 20,206 20,485 20,763 21,043 21,323 21,603 21,884 22,165 22,447 22,730 23,013 23,296 23,580 23,864 24,149 24,434 24,720 25,006 25,292 25,580 25,867 26,155 26,444 26,733 27,022 27,312 27,602 27,823 28,184 28,475 28,768 29,060 29,353 29,646 29,940 30,234 30,529 30,824 31,120 31,415 32,157 32,901 33,648 34,397 63.057 63.169 63.279 63.386 63.494 63.601 63.706 63.811 63.914 64.016 64.114 64.217 64.316 64.415 64.512 64.609 64.704 64.800 64.893 64.986 65.078 65.169 65.260 65.350 65.439 65.527 65.615 65.702 65.788 65.873 65.958 66.042 66.125 66.208 66.290 66.372 66.453 66.533 66.613 66.691 66.770 66.848 66.925 67.003 67.193 67.380 67.562 67.743 24,285 24,625 24,965 25,306 25,647 25,989 26,331 26,673 27,016 27,359 27,703 28,046 28,391 28,735 29,080 29,425 29,771 30,117 30,463 30,809 31,156 31,503 31,850 32,198 32,546 32,894 33,242 33,591 33,940 34,289 34,638 34,988 35,338 35,688 36,038 36,389 36,739 37,090 37,441 37,792 38,144 38,495 38,847 39,199 40,080 40,962 41,844 42,728 17,970 18,231 18,491 18,753 19,014 19,277 19,539 19,802 20,065 20,329 20,593 20,858 21,122 21,387 21,653 21,919 22,185 22,451 22,718 22,985 23,252 23,520 23,788 24,056 24,324 24,593 24,862 25,131 25,401 25,670 25,940 26,210 26,481 26,751 27,022 27,293 27,565 27,836 28,108 28,379 28,651 28,924 29,196 29,468 30,151 30,834 31,518 32,203 59.126 59.232 59.338 59.442 59.544 59.646 59.747 59.846 59.944 60.041 60.138 60.234 60.328 60.422 60.515 60.607 60.698 60.788 60.877 60.966 61.053 61.139 61.225 61.310 61.395 61.479 61.562 61.644 61.726 61.806 61.887 61.966 62.045 62.123 62.201 62.278 62.354 62.429 62.504 62.578 62.652 62.725 62.798 62.870 63.049 63.223 63.395 63.563 3180 3220 3260 3300 3340 3380 3420 3460 3500 3540 3580 3620 3660 3700 3740 3780 3820 3860 3900 3940 3980 4020 4060 4100 4140 4180 4220 4260 4300 4340 4380 4420 4460 4500 4540 4580 4620 4660 4700 4740 4780 4820 4860 4900 5000 5100 5200 5300 Source: M. J. Moran and H. N. Shapiro, Fundamentals of Engineering Thermodynamics, 6th Ed., John Wiley & Sons, Inc., 2008, pp. 905908. This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. TE-13 Table 10E. Properties of Saturated Water (Liquid-Vapor): Temperature Table Specific Volume [ft3/lbm] Sat. Sat. Liquid Vapor (vf) (vg) 0.01602 3305 0.01602 2948 0.01602 2445 0.01602 2037 0.01602 1704 0.01603 1589 Specific Internal Energy [BTU/lbm] Sat. Sat. Liquid Vapor (uf) (ug) –0.01 1021.2 2.99 1022.2 8.02 1023.9 13.04 1025.5 18.06 1027.2 20.06 1027.8 Specific Enthalpy [BTU/lbm] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) –0.01 1075.4 1075.4 3.00 1073.7 1076.7 8.02 1070.9 1078.9 13.04 1068.1 1081.1 18.06 1065.2 1083.3 20.07 1064.1 1084.2 Specific Entropy [BTU/(lbm∙R)] Sat. Sat. Liquid Vapor (sf) (sg) –0.00003 2.1870 0.00607 2.1764 0.01617 2.1592 0.02618 2.1423 0.03607 2.1259 0.04000 2.1195 Temp [oF] 32 35 40 45 50 52 Sat Pressure [lbf/in2] 0.0886 0.0999 0.1217 0.1475 0.1780 0.1917 54 56 58 60 62 64 0.2064 0.2219 0.2386 0.2563 0.2751 0.2952 0.01603 0.01603 0.01603 0.01604 0.01604 0.01604 1482 1383 1292 1207 1129 1056 22.07 24.08 26.08 28.08 30.09 32.09 1028.5 1029.1 1029.8 1030.4 1031.1 1031.8 22.07 24.08 26.08 28.08 30.09 32.09 1063.0 1061.9 1060.7 1059.6 1058.5 1057.3 1085.1 1085.9 1086.8 1087.7 1088.6 1089.4 0.04391 0.04781 0.05159 0.05555 0.05940 0.06323 2.1131 2.1068 2.1005 2.0943 2.0882 2.0821 54 56 58 60 62 64 66 68 70 72 74 76 0.3165 0.3391 0.3632 0.3887 0.4158 0.4446 0.01604 0.01605 0.01605 0.01606 0.01606 0.01606 988.4 925.8 867.7 813.7 763.5 716.8 34.09 36.09 38.09 40.09 42.09 44.09 1032.4 1033.1 1033.7 1034.4 1035.0 1035.7 34.09 36.09 38.09 40.09 42.09 44.09 1056.2 1055.1 1054.0 1052.8 1051.7 1050.6 1090.3 1091.2 1092.0 1092.9 1093.8 1094.7 0.06704 0.07084 0.07463 0.07839 0.08215 0.08589 2.0761 2.0701 2.0642 2.0584 2.0526 2.0469 66 68 70 72 74 76 78 80 82 84 86 88 90 0.4750 0.5073 0.5414 0.5776 0.6158 0.6562 0.6988 0.01607 0.01607 0.01608 0.01608 0.01609 0.01609 0.01610 673.3 632.8 595.0 559.8 527.0 496.3 467.7 46.09 48.08 50.08 52.08 54.08 56.07 58.07 1036.3 1037.0 1037.6 1038.3 1038.9 1039.6 1040.2 46.09 48.09 50.08 52.08 54.08 56.07 58.07 1049.4 1048.3 1047.2 1046.0 1044.9 1043.8 1042.7 1095.5 1096.4 1097.3 1098.1 1099.0 1099.9 1100.7 0.08961 0.09332 0.09701 0.1007 0.1044 0.1080 0.1117 2.0412 2.0356 2.0300 2.0245 2.0190 2.0136 2.0083 78 80 82 84 86 88 90 92 94 96 98 100 110 0.7439 0.7914 0.8416 0.8945 0.9503 1.276 0.01611 0.01611 0.01612 0.01612 0.01613 0.01617 440.9 415.9 392.4 370.5 350.0 265.1 60.06 62.06 64.05 66.05 68.04 78.02 1040.9 1041.5 1041.2 1042.8 1043.5 1046.7 60.06 62.06 64.06 66.05 68.05 78.02 1041.5 1040.4 1039.2 1038.1 1037.0 1031.3 1101.6 1102.4 1103.3 1104.2 1105.0 1109.3 0.1153 0.1189 0.1225 0.1261 0.1296 0.1473 2.0030 1.9977 1.9925 1.9874 1.9822 1.9574 92 94 96 98 100 110 120 130 140 150 160 1.695 2.225 2.892 3.722 4.745 0.01621 0.01625 0.01629 0.01634 0.01640 203.0 157.2 122.9 97.0 77.2 87.99 97.97 107.95 117.95 127.94 1049.9 1053.0 1056.2 1059.3 1062.3 88.00 97.98 107.96 117.96 127.96 1025.5 1019.8 1014.0 1008.1 1002.2 1113.5 1117.8 1121.9 1126.1 1130.1 0.1647 0.1817 0.1985 0.2150 0.2313 1.9336 1.9109 1.8892 1.8684 1.8484 120 130 140 150 160 TE-14 Temp [oF] 32 35 40 45 50 52 Table 10E. Properties of Saturated Water (Liquid-Vapor): Temperature Table Specific Volume [ft3/lbm] Sat. Sat. Liquid Vapor (vf) (vg) 0.01645 62.0 0.01651 50.2 0.01657 41.0 0.01663 33.6 0.01670 27.82 0.01672 26.80 Specific Internal Energy [BTU/lbm] Sat. Sat. Liquid Vapor (uf) (ug) 137.95 1065.4 147.97 1068.3 158.00 1071.3 168.04 1074.2 178.1 1077.0 180.1 1077.6 Specific Enthalpy [BTU/lbm] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) 137.97 996.2 1134.2 147.99 990.2 1138.2 158.03 984.1 1142.1 168.07 977.9 1145.9 178.1 971.6 1149.7 180.2 970.3 1150.5 Specific Entropy [BTU/(lbm∙R)] Sat. Sat. Liquid Vapor (sf) (sg) 0.2473 1.8293 0.2631 1.8109 0.2787 1.7932 0.2940 1.7762 0.3091 1.7599 0.3121 1.7567 Temp [oF] 170 180 190 200 210 212 Sat Pressure [lbf/in2] 5.996 7.515 9.343 11.529 14.13 14.70 220 230 240 250 260 270 17.19 20.78 24.97 29.82 35.42 41.85 0.01677 0.01685 0.01692 0.01700 0.01708 0.01717 23.15 19.39 16.33 13.83 11.77 10.07 188.2 198.3 208.4 218.5 228.6 238.8 1079.8 1082.6 1085.3 1087.9 1090.5 1093.0 188.2 198.3 208.4 218.6 228.8 239.0 965.3 958.8 952.3 945.6 938.8 932.0 1153.5 1157.1 1160.7 1164.2 1167.6 1170.9 0.3241 0.3388 0.3534 0.3677 0.3819 0.3960 1.7441 1.7289 1.7143 1.7001 1.6864 1.6731 220 230 240 250 260 270 280 290 300 310 320 330 49.18 57.53 66.98 77.64 89.60 103.00 0.01726 0.01735 0.01745 0.01755 0.01765 0.01776 8.65 7.47 6.472 5.632 4.919 4.312 249.0 259.3 269.5 279.8 290.1 300.5 1095.4 1097.7 1100.0 1102.1 1104.2 1106.2 249.2 259.4 269.7 280.1 290.4 300.8 924.9 917.8 910.4 903.0 895.3 887.5 1174.1 1177.2 1180.2 1183.0 1185.8 1188.4 0.4099 0.4236 0.4372 0.4507 0.4640 0.4772 1.6602 1.6477 1.6356 1.6238 1.6123 1.6010 280 290 300 310 320 330 340 350 360 370 380 390 400 117.93 134.53 152.92 173.23 195.60 220.2 247.1 0.01787 0.01799 0.01811 0.01823 0.01836 0.01850 0.01864 3.792 3.346 2.961 2.628 2.339 2.087 1.866 310.9 321.4 331.8 342.4 353.0 363.6 374.3 1108.0 1109.8 1111.4 1112.9 1114.3 1115.6 1116.6 311.3 321.8 332.4 343.0 353.6 364.3 375.1 879.5 871.3 862.9 854.2 845.4 836.2 826.8 1190.8 1193.1 1195.2 1197.2 1199.0 1200.6 1202.0 0.4903 0.5033 0.5162 0.5289 0.5416 0.5542 0.5667 1.5901 1.5793 1.5688 1.5585 1.5483 1.5383 1.5284 340 350 360 370 380 390 400 410 420 430 440 450 460 276.5 308.5 343.3 381.2 422.1 466.3 0.01878 0.01894 0.01909 0.01926 0.01943 0.01961 1.673 1.502 1.352 1.219 1.1011 0.9961 385.0 395.8 406.7 417.6 428.6 439.7 1117.6 1118.3 1118.9 1119.3 1119.5 1119.6 386.0 396.9 407.9 419.0 430.2 441.1 817.2 807.2 796.9 786.3 775.4 764.1 1203.1 1204.1 1204.8 1205.3 1205.6 1205.5 0.5792 0.5915 0.6038 0.6161 0.6282 0.6404 1.5187 1.5091 1.4995 1.4900 1.4806 1.4712 410 420 430 440 450 460 470 480 490 500 520 514.1 565.5 620.7 680.0 811.4 0.01980 0.02000 0.02021 0.02043 0.02091 0.9025 0.8187 0.7436 0.6761 0.5605 450.9 462.2 473.6 485.1 508.5 1119.4 1118.9 1118.3 1117.4 1114.8 452.8 464.3 475.9 487.7 511.7 752.4 740.3 727.8 714.8 687.3 1205.2 1204.6 1203.7 1202.5 1198.9 0.6525 0.6646 0.6767 0.6888 0.7130 1.4618 1.4524 1.4430 1.4335 1.4145 470 480 490 500 520 TE-15 Temp [oF] 170 180 190 200 210 212 Table 10E. Properties of Saturated Water (Liquid-Vapor): Temperature Table Temp [oF] 540 560 580 600 620 640 Sat Pressure [lbf/in2] 961.5 1131.8 1324.3 1541.0 1784.4 2057.1 660 680 700 705.4 2362 2705 3090 3204 Specific Volume [ft3/lbm] Sat. Sat. Liquid Vapor (vf) (vg) 0.02145 0.4658 0.02207 0.3877 0.02278 0.3225 0.02363 0.2677 0.02465 0.2209 0.02593 0.1805 0.02767 0.03032 0.03666 0.05053 0.1446 0.1113 0.0744 0.05053 Specific Internal Energy [BTU/lbm] Sat. Sat. Liquid Vapor (uf) (ug) 532.6 1111.0 548.4 1105.8 583.1 1098.9 609.9 1090.0 638.3 1078.5 668.7 1063.2 702.3 741.7 801.7 872.6 Specific Enthalpy [BTU/lbm] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) 536.4 657.5 1193.8 562.0 625.0 1187.0 588.6 589.3 1178.0 616.7 549.7 1166.4 646.4 505.0 1151.4 678.6 453.4 1131.9 1042.3 1011.0 947.7 872.6 714.4 756.9 822.7 902.5 391.1 309.8 167.5 0 1105.5 1066.7 990.2 902.5 Specific Entropy [BTU/(lbm∙R)] Sat. Sat. Liquid Vapor (sf) (sg) 0.7374 1.3950 0.7620 1.3749 0.7872 1.3540 0.8130 1.3317 0.8398 1.3075 0.8681 1.2803 Temp [oF] 540 560 580 600 620 640 0.8990 0.9350 0.9902 1.0580 660 680 700 705.4 1.2483 1.2068 1.1346 1.0580 Source: Tables 10E through 13E are extracted from J. H. Keenan, F. G. Keyes, P. G. Hill, and J. G. Moore, Steam Tables, Wiley, New York, 1969. This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. TE-16 Table 11E. Properties of Saturated Water (Liquid-Vapor): Pressure Table Press. (P) [lbf/in2] 0.4 0.6 0.8 1.0 1.2 1.5 Sat Temp. (Tsat) [oF] 72.84 85.19 94.35 101.70 107.88 115.65 Specific Volume [ft3/lbm] Sat. Sat. Liquid Vapor (vf) (vg) 0.01606 792.0 0.01609 540.0 0.01611 411.7 0.01614 333.6 0.01616 280.9 0.01619 227.7 Specific Internal Energy [BTU/lbm] Sat. Sat. Liquid Vapor (uf) (ug) 40.94 1034.7 53.26 1038.7 62.41 1041.7 69.74 1044.0 75.90 1046.0 83.65 1048.5 Specific Enthalpy [BTU/lbm] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) 40.94 1052.3 1093.3 53.27 1045.4 1098.6 62.41 1040.2 1102.6 69.74 1036.0 1105.8 75.90 1032.5 1108.4 83.65 1028.0 1111.7 Specific Entropy [BTU/(lbm∙R)] Sat. Sat. Liquid Vapor (sf) (sg) 0.0800 2.0559 0.1029 2.0213 0.1195 1.9968 0.1327 1.9779 0.1436 1.9626 0.1571 1.9438 2.0 3.0 4.0 5.0 6.0 7.0 126.04 141.43 152.93 162.21 170.03 176.82 0.01623 0.01630 0.01636 0.01641 0.01645 0.01649 173.75 118.72 90.64 73.53 61.98 53.65 94.02 109.38 120.88 130.15 137.98 144.78 1051.8 1056.6 1060.2 1063.0 1065.4 1067.4 94.02 109.39 120.89 130.17 138.00 144.80 1022.1 1013.1 1006.4 1000.9 996.2 992.1 1116.1 1122.5 1127.3 1131.0 1134.2 1136.9 0.1750 0.2009 0.2198 0.2349 0.2474 0.2581 1.9198 1.8861 1.8624 1.8441 1.8292 1.8167 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10 14.696 15 20 182.84 188.26 193.19 211.99 213.03 227.96 0.01653 0.01656 0.01659 0.01672 0.01672 0.01683 47.35 42.41 38.42 26.80 26.29 20.09 150.81 156.25 161.20 180.10 181.14 196.19 1069.2 1070.8 1072.2 1077.6 1077.9 1082.0 150.84 156.27 161.23 180.15 181.19 196.26 988.4 985.1 982.1 970.4 969.7 960.1 1139.3 1141.4 1143.3 1150.5 1150.9 1156.4 0.2675 0.2760 0.2836 0.3121 0.3137 0.3358 1.8058 1.7963 1.7877 1.7567 1.7551 1.7320 8.0 9.0 10 14.696 15 20 25 30 35 40 45 50 55 240.08 250.34 259.30 267.26 274.46 281.03 287.10 0.01692 0.01700 0.01708 0.01715 0.01721 0.01727 0.01733 13.31 13.75 11.90 10.50 9.40 8.52 7.79 208.44 218.84 227.93 236.03 243.37 250.08 256.28 1085.3 1088.0 1090.3 1092.3 1094.0 1095.6 1097.0 208.52 218.93 228.04 236.16 243.51 250.24 256.46 952.2 945.4 939.3 933.8 928.8 924.2 919.9 1160.7 1164.3 1167.4 1170.0 1172.3 1174.4 1176.3 0.3535 0.3682 0.3809 0.3921 0.4022 0.4113 0.4196 1.7142 1.6996 1.6873 1.6767 1.6673 1.6589 1.6513 25 30 35 40 45 50 55 60 65 70 75 80 85 292.73 298.00 302.96 307.63 312.07 316.29 0.01738 0.01743 0.01748 0.01752 0.01757 0.01761 7.177 6.647 6.209 5.818 5.474 5.170 262.1 267.5 272.6 277.4 282.0 286.3 1098.3 1099.5 1100.6 1101.6 1102.6 1103.5 262.2 267.7 272.8 277.6 282.2 286.6 915.8 911.9 908.3 904.8 901.4 898.2 1178.0 1179.6 1181.0 1182.4 1183.6 1184.8 0.4273 0.4345 0.4412 0.4475 0.4534 0.4591 1.6443 1.6380 1.6321 1.6265 1.6213 1.6165 60 65 70 75 80 85 90 95 100 110 120 320.31 324.16 327.86 334.82 341.30 0.01766 0.01770 0.01774 0.01781 0.01789 4.898 4.654 4.434 4.051 3.730 290.5 294.5 298.3 305.5 312.3 1104.3 1105.0 1105.8 1107.1 1108.3 290.8 294.8 298.6 305.9 312.7 895.1 892.1 889.2 883.7 878.5 1185.9 1186.9 1187.8 1189.6 1191.1 0.4644 0.4695 0.4744 0.4836 0.4920 1.6119 1.6075 1.6034 1.5958 1.5886 90 95 100 110 120 TE-17 Press. (P) [lbf/in2] 0.4 0.6 0.8 1.0 1.2 1.5 Table 11E. Properties of Saturated Water (Liquid-Vapor): Pressure Table Specific Internal Energy [BTU/lbm] Sat. Sat. Liquid Vapor (uf) (ug) 318.6 1109.4 324.6 1110.3 330.2 1111.2 335.6 1112.0 340.8 1112.7 345.7 1113.4 Press. (P) [lbf/in2] 130 140 150 160 170 180 Sat Temp. (Tsat) [oF] 347.37 353.08 358.48 363.60 368.47 373.13 Specific Volume [ft3/lbm] Sat. Sat. Liquid Vapor (vf) (vg) 0.01796 3.457 0.01802 3.221 0.01809 3.016 0.01815 2.836 0.01821 2.676 0.01827 2.553 190 200 250 300 350 400 377.59 381.86 401.04 417.43 431.82 444.70 0.01833 0.01839 0.01865 0.01890 0.01912 0.01934 2.405 2.289 1.845 1.544 1.327 1.162 350.4 354.9 375.4 393.0 408.7 422.8 1114.0 1114.6 1116.7 1118.2 1119.0 1119.5 351.0 355.6 376.2 394.1 409.9 424.2 847.5 843.7 825.8 809.8 795.0 781.2 1198.6 1199.3 1202.1 1203.9 1204.9 1205.5 0.5386 0.5440 0.5680 0.5883 0.6060 0.6218 1.5508 1.5465 1.5274 1.5115 1.4977 1.4856 190 200 250 300 350 400 450 500 550 600 700 800 456.39 467.13 477.07 486.33 503.23 518.36 0.01955 0.01975 0.01994 0.02013 0.02051 0.02087 1.033 0.928 0.842 0.770 0.656 0.569 435.7 447.7 458.9 469.4 488.9 506.6 1119.6 1119.4 1119.1 1118.6 1117.0 1115.0 437.4 449.5 460.9 471.7 491.5 509.7 768.2 755.8 743.9 732.4 710.5 689.6 1205.6 1205.3 1204.8 1204.1 1202.0 1199.3 0.6360 0.6490 0.6611 0.6723 0.6927 0.7110 1.4745 1.4644 1.4451 1.4464 1.4305 1.4160 450 500 550 600 700 800 900 1000 1100 1200 1300 1400 1500 532.12 544.75 556.45 567.37 577.60 587.25 596.39 0.02123 0.02159 0.02195 0.02232 0.02269 0.02307 0.02346 0.501 0.446 0.401 0.362 0.330 0.302 0.277 523.0 538.4 552.9 566.7 579.9 592.7 605.0 1112.6 1109.9 1106.8 1103.5 1099.8 1096.0 1091.8 526.6 542.4 557.4 571.7 585.4 598.6 611.5 669.5 650.0 631.0 612.3 593.8 575.5 557.2 1196.0 1192.4 1188.3 1183.9 1179.2 1174.1 1168.7 0.7277 0.7432 0.7576 0.7712 0.7841 0.7964 0.8082 1.4027 1.3903 1.3786 1.3673 1.3565 1.3461 1.3359 900 1000 1100 1200 1300 1400 1500 1600 1700 1800 1900 2000 2250 605.06 613.32 621.21 628.76 636.00 652.90 0.02386 0.02428 0.02472 0.02517 0.02565 0.02698 0.255 0.236 0.218 0.203 0.188 0.157 616.9 628.6 640.0 651.3 662.4 689.9 1087.4 1082.7 1077.7 1072.3 1066.6 1050.6 624.0 636.2 648.3 660.1 671.9 701.1 538.9 520.6 502.1 483.4 464.4 414.8 1162.9 1156.9 1150.4 1143.5 1136.3 1115.9 0.8196 0.8307 0.8414 0.8519 0.8623 0.8876 1.3258 1.3159 1.3060 1.2961 1.2861 1.2604 1600 1700 1800 1900 2000 2250 2500 2750 3000 3203.6 668.31 682.46 695.52 705.44 0.02860 0.03077 0.03431 0.05053 0.131 0.107 0.084 0.0505 717.7 747.36 783.4 872.6 1031.0 1005.9 968.8 872.6 730.9 763.0 802.5 902.5 360.5 297.4 213.0 0 1091.4 1060.4 1015.5 902.5 0.9131 0.9401 0.9732 1.0580 1.2327 1.2005 1.1575 1.0580 2500 2750 3000 3203.6 TE-18 Specific Enthalpy [BTU/lbm] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) 319.0 873.5 1192.5 325.1 868.7 1193.8 330.8 864.2 1194.9 336.2 859.8 1196.0 341.3 855.6 1196.9 346.3 851.5 1197.8 Specific Entropy [BTU/(lbm∙R)] Sat. Sat. Liquid Vapor (sf) (sg) 0.4999 1.5821 0.5073 1.5761 0.5142 1.5704 0.5208 1.5651 0.5270 1.5600 0.5329 1.5552 Press. (P) [lbf/in2] 130 140 150 160 170 180 Table 12E. Properties of Superheated Water Vapor T [oF] v [ft3/lbm] u [BTU/lbm] h [BTU/lbm] s [BTU/(lbm∙R)] v [ft3/lbm] P = 1 lbf/in2 (Tsat = 36.16oF) Sat. 150 200 250 300 400 500 600 700 800 900 1000 333.6 362.6 392.5 422.4 452.3 511.9 571.5 631.1 690.7 750.3 809.9 869.5 1044.0 1060.4 1077.5 1094.7 1112.0 1147.0 1182.8 1219.3 1256.7 1294.4 1333.9 1373.9 1105.8 1127.5 1150.1 1172.8 1195.7 1241.8 1288.5 1336.1 1384.5 1433.7 1483.8 1534.8 38.42 38.85 41.95 44.99 51.03 57.04 63.03 69.01 74.98 80.95 86.91 92.88 1072.2 1074.7 1092.6 1110.4 1146.1 1182.2 1218.9 1256.3 1294.6 1333.7 1373.8 1414.7 1143.3 1146.6 1170.2 1193.7 1240.5 1287.7 1335.5 1384.0 1433.3 1483.5 1534.6 1586.6 1.9779 2.0151 2.0508 2.0839 2.1150 2.1720 2.2235 2.2706 2.3142 2.3550 2.3932 2.4294 20.09 20.79 22.36 23.90 23.43 28.46 31.47 34.47 37.46 40.45 43.44 46.42 1082.0 1090.3 1108.7 1126.9 1145.1 1181.5 1218.4 1255.9 1294.3 1333.5 1373.5 1414.5 1156.4 1167.2 1191.5 1215.4 1239.2 1286.8 1334.8 1383.5 1432.9 1483.2 1534.3 1586.3 s [BTU/(lbm∙R)] 73.53 1063.0 1131.0 1.8441 78.15 84.21 90.24 102.24 114.20 126.15 138.08 150.01 161.94 173.86 1076.0 1093.8 1111.3 1146.6 1182.5 1219.1 1256.5 1294.7 1333.8 1373.9 1148.6 1171.7 1194.8 1241.2 1288.2 1335.8 1384.3 1433.5 1483.7 1534.7 1.8715 1.9052 1.9367 1.9941 2.0458 2.0930 2.1367 2.1775 2.2158 2.2520 T [oF] Sat. 150 200 250 300 400 500 600 700 800 900 1000 P = 14.7 lbf/in2 (Tsat = 212.0oF) 1.7877 1.7927 1.8272 1.8592 1.9171 1.9690 2.0164 2.0601 2.1009 2.1393 2.1755 2.2099 26.80 1077.6 1150.5 1.7567 28.42 30.52 34.67 38.77 42.86 46.93 51.00 55.07 59.13 63.19 1091.5 1109.6 1145.6 1181.8 1218.6 1256.1 1294.4 1333.6 1373.7 1414.6 1168.8 1192.6 1239.9 1287.3 1335.2 1383.8 1433.1 1483.4 1534.5 1586.4 1.7832 1.8157 1.8741 1.9263 1.9737 2.0175 2.0584 2.0967 2.1330 2.1674 P = 20 lbf/in2 (Tsat = 228.0oF) Sat. 250 300 350 400 500 600 700 800 900 1000 1100 h [BTU/lbm] P = 5 lbf/in2 (Tsat = 162.2oF) P = 10 lbf/in2 (Tsat = 193.2oF) Sat. 200 250 300 400 500 600 700 800 900 1000 1100 u [BTU/lbm] Sat. 200 250 300 400 500 600 700 800 900 1000 1100 P = 40 lbf/in2 (Tsat = 267.3oF) 1.7320 1.7475 1.7805 1.8110 1.8395 1.8919 1.9395 1.9834 2.0243 2.0627 2.0989 2.1334 TE-19 10.50 1093.3 1170.0 1.6767 11.04 11.84 12.62 14.16 15.69 17.20 18.70 20.20 21.70 23.20 1105.1 1124.2 1143.0 1180.1 1217.3 1255.1 1293.7 1333.0 1373.1 1414.2 1186.8 1211.8 1236.4 1284.9 1333.4 1382.4 1432.1 1482.5 1533.8 1585.9 1.6993 1.7312 1.7606 1.8140 1.8621 1.9063 1.9474 1.9859 2.0223 2.0568 Sat. 250 300 350 400 500 600 700 800 900 1000 1100 Table 12E. Properties of Superheated Water Vapor T [oF] v [ft3/lbm] u [BTU/lbm] h [BTU/lbm] s [BTU/(lbm∙R)] v [ft3/lbm] P = 60 lbf/in2 (Tsat = 292.7oF) Sat. 300 350 400 500 600 700 800 900 1000 1100 1200 7.17 7.26 7.82 8.35 9.40 10.43 11.44 12.45 13.45 14.45 15.45 16.45 1098.3 1101.3 1121.4 1140.8 1178.6 1216.3 1254.4 1293.0 1332.5 1372.7 1413.8 1455.8 1178.0 1181.9 1208.2 1233.5 1283.0 1332.1 1381.4 1431.2 1481.8 1533.2 1585.4 1638.5 4.434 4.592 4.934 5.265 5.587 6.216 6.834 7.445 8.053 8.657 9.260 9.861 1105.8 1115.4 1136.2 1156.2 1175.7 1214.2 1252.8 1291.8 1331.5 1371.9 1413.1 1455.2 1187.8 1200.4 1227.5 1253.6 1279.1 1329.3 1379.2 1429.6 1480.5 1532.1 1584.5 1637.7 1.6444 1.6496 1.6830 1.7134 1.7678 1.8165 1.8609 1.9022 1.9408 1.9773 2.0119 2.0448 3.221 3.466 3.713 3.952 4.184 4.412 4.860 5.301 5.739 6.173 6.605 7.036 1110.3 1131.4 1152.4 1172.7 1192.5 1212.1 1251.2 1290.5 1330.4 1371.0 1412.4 1454.6 1193.8 1221.2 1248.6 1275.1 1300.9 1326.4 1377.1 1427.9 1479.1 1531.0 1583.6 1636.9 s [BTU/(lbm∙R)] T [oF] 5.47 1102.6 1183.6 1.6214 5.80 6.22 7.02 7.79 8.56 9.32 10.08 10.83 11.58 12.33 1118.5 1138.5 1177.2 1215.3 1253.6 1292.4 1332.0 1372.3 1413.5 1455.5 1204.3 1230.6 1281.1 1330.7 1380.3 1430.4 1481.2 1532.6 1584.9 1638.1 1.6476 1.6790 1.7346 1.7838 1.8285 1.8700 1.9087 1.9453 1.9799 2.0130 Sat. 300 350 400 500 600 700 800 900 1000 1100 1200 1.5886 1.5950 1.6288 1.6590 1.6868 1.7371 1.7825 1.8243 1.8633 1.9000 1.9348 1.9679 Sat. 350 400 450 500 600 700 800 900 1000 1100 1200 1.5651 1.5911 1.6230 1.6518 1.6785 1.7034 1.7494 1.7916 1.8308 1.8677 1.9026 1.9358 Sat. 400 450 500 550 600 700 800 900 1000 1100 1200 P = 120 lbf/in2 (Tsat = 341.3oF) 1.6034 1.6090 1.6517 1.6812 1.7085 1.7582 1.8033 1.8449 1.8838 1.9204 1.9551 1.9882 3.730 3.783 4.079 4.360 4.633 5.164 5.682 6.195 6.703 7.208 7.711 8.213 P = 140 lbf/in2 (Tsat = 353.1oF) Sat. 400 450 500 550 600 700 800 900 1000 1100 1200 h [BTU/lbm] P = 80 lbf/in2 (Tsat = 312.1oF) P = 100 lbf/in2 (Tsat = 327.8oF) Sat. 350 400 450 500 600 700 800 900 1000 1100 1200 u [BTU/lbm] 1108.3 1112.2 1133.8 1154.3 1174.2 1213.2 1252.0 1291.2 1330.9 1371.5 1412.8 1454.9 1191.1 1196.2 1224.4 1251.2 1277.1 1327.8 1378.2 1428.7 1479.8 1531.5 1584.0 1637.3 P = 160 lbf/in2 (Tsat = 363.6oF) 1.5761 1.6088 1.6399 1.6682 1.6945 1.7191 1.7648 1.8068 1.8459 1.8827 1.9176 1.9507 2.836 3.007 3.228 3.440 3.646 3.848 4.243 4.631 5.015 5.397 5.776 6.154 TE-20 1112.0 1128.8 1150.5 1171.2 1191.3 1211.1 1250.4 1289.9 1329.9 1370.6 1412.1 1454.3 1196.0 1217.8 1246.1 1273.0 1299.2 1325.0 1376.0 1427.0 1478.4 1530.4 1583.1 1636.5 Table 12E. Properties of Superheated Water Vapor T [oF] v [ft3/lbm] u [BTU/lbm] h [BTU/lbm] s [BTU/(lbm∙R)] v [ft3/lbm] P = 180 lbf/in2 (Tsat = 373.1oF) Sat. 400 450 500 550 600 700 800 900 1000 1100 1200 2.533 2.648 2.850 3.042 3.228 3.409 3.763 4.110 4.453 4.793 5.131 5.467 1113.4 1126.2 1148.5 1169.6 1190.0 1210.0 1249.6 1289.36 1329.4 1370.2 1411.7 1454.0 1197.8 1214.4 1243.4 1270.9 1297.5 1323.5 1374.9 1426.2 1477.7 1529.8 1582.6 1636.1 1.845 2.002 2.150 2.290 2.426 2.688 2.943 3.193 3.440 3.685 3.929 4.172 1116.7 1141.1 1163.8 1185.3 1206.1 1246.7 1287.0 1327.6 1368.7 1410.5 1453.0 1496.3 1202.1 1233.7 1263.3 1291.3 1318.3 1371.1 1423.2 1475.3 1527.9 1581.0 1634.8 1689.3 1.5553 1.5749 1.6078 1.6372 1.6642 1.6893 1.7357 1.7781 1.8174 1.8545 1.8894 1.9227 2.289 2.361 2.548 2.724 2.893 3.058 3.379 3.693 4.003 4.310 4.615 4.918 1.327 1.373 1.491 1.600 1.703 1.898 2.085 2.267 2.446 2.624 2.799 2.974 1119.0 1129.2 1154.9 1178.3 1200.3 1242.5 1283.8 1325.0 1366.6 1408.7 1451.5 1495.0 1204.9 1218.2 1251.5 1281.9 1310.6 1365.4 1418.8 1471.8 1525.0 1578.6 1632.8 1687.6 s [BTU/(lbm∙R)] T [oF] 1114.6 1123.5 1146.4 1168.0 1188.7 1208.9 1248.8 1288.6 1328.9 1369.8 1411.4 1453.7 1199.3 1210.8 1240.7 1268.8 1295.7 1322.1 1373.8 1425.3 1477.1 1529.3 1582.2 1635.7 1.5464 1.5600 1.5938 1.6239 1.6512 1.6767 1.7234 1.7660 1.8055 1.8425 1.8776 1.9109 Sat. 400 450 500 550 600 700 800 900 1000 1100 1200 1.5115 1.5365 1.5701 1.5997 1.6266 1.6751 1.7187 1.7589 1.7964 1.8317 1.8653 1.8973 Sat. 450 500 550 600 700 800 900 1000 1100 1200 1300 1.4856 1.4901 1.5282 1.5605 1.5892 1.6397 1.6844 1.7252 1.7632 1.7989 1.8327 1.8648 Sat. 450 500 550 600 700 800 900 1000 1100 1200 1300 P = 300 lbf/in2 (Tsat = 417.4oF) 1.5274 1.5632 1.5948 1.6233 1.6494 1.6970 1.7301 1.7799 1.8172 1.8524 1.8858 1.9177 1.544 1.636 1.766 1.888 2.004 2.227 2.442 2.653 2.860 3.066 3.270 3.473 P = 350 lbf/in2 (Tsat = 431.8oF) Sat. 450 500 550 600 700 800 900 1000 1100 1200 1300 h [BTU/lbm] P = 200 lbf/in2 (Tsat = 381.8oF) P = 250 lbf/in2 (Tsat = 401.0oF) Sat. 450 500 550 600 700 800 900 1000 1100 1200 1300 u [BTU/lbm] 1118.2 1135.4 1159.5 1181.9 1203.2 1244.0 1285.4 1326.3 1367.7 1409.6 1452.2 1495.6 1203.9 1226.2 1257.5 1286.7 1314.5 1368.3 1421.0 1473.6 1526.5 1579.8 1633.8 1688.4 P = 400 lbf/in2 (Tsat = 444.7oF) 1.4978 1.5125 1.5482 1.5790 1.6068 1.6562 1.7004 1.7409 1.7787 1.8142 1.8478 1.8799 1.162 1.175 1.284 1.383 1.476 1.650 1.816 1.978 2.136 2.292 2.446 2.599 TE-21 1119.5 1122.6 1150.1 1174.6 1197.3 1240.4 1282.1 1323.7 1365.5 1407.8 1450.7 1494.3 1205.5 1209.5 1245.2 1277.0 1306.6 1362.5 1416.6 1470.1 1523.6 1577.4 1621.8 1686.8 Table 12E. Properties of Superheated Water Vapor T [oF] v [ft3/lbm] u [BTU/lbm] h [BTU/lbm] s [BTU/(lbm∙R)] v [ft3/lbm] P = 450 lbf/in2 (Tsat = 456.4oF) Sat. 500 550 600 700 800 900 1000 1100 1200 1300 1400 1.033 1.123 1.215 1.300 1.458 1.608 1.752 1.894 2.034 2.172 2.308 2.444 1119.6 1145.1 1170.7 1194.3 1238.2 1280.5 1322.4 1364.4 1406.9 1450.0 1493.7 1538.1 1205.6 1238.5 1271.9 1302.5 1359.6 1414.4 1468.3 1522.2 1576.3 1630.8 1685.9 1741.7 0.770 0.795 0.875 0.946 1.073 1.190 1.302 1.411 1.517 1.622 1.726 1.829 1118.6 1128.0 1158.2 1184.5 1231.5 1275.4 1318.4 1361.2 1404.2 1447.7 1491.7 1536.5 1204.1 1216.2 1255.4 1289.5 1350.6 1407.6 1462.9 1517.8 1572.7 1627.8 1683.4 1739.5 1.4746 1.5097 1.5436 1.5732 1..6248 1.6701 1.7113 1.7495 1.7853 1.8192 1.8515 1.8823 0.928 0.992 1.079 1.158 1.304 1.441 1.572 1.701 1.827 1.952 2.075 2.198 0.569 0.615 0.677 0.732 0.783 0.876 0.964 1.048 1.130 1.210 1.289 1.367 1115.0 1138.8 1170.1 1197.2 1222.1 1268.5 1312.9 1356.7 1400.5 1444.6 1489.4 1534.2 1199.3 1229.9 1270.4 1305.6 1338.0 1398.2 1455.6 1511.9 1567.8 1623.8 1680.0 1736.6 s [BTU/(lbm∙R)] T [oF] 1119.4 1139.7 1166.7 1191.1 1236.0 1278.8 1321.0 1363.3 1406.0 1449.2 1493.1 1537.6 1205.3 1231.5 1266.6 1298.3 1356.7 1412.1 1466.5 1520.7 1575.1 1629.8 1685.1 1741.0 1.4645 1.4923 1.5279 1.5585 1.6112 1.6571 1.6987 1.7371 1.7731 1.8072 1.8395 1.8704 Sat. 500 550 600 700 800 900 1000 1100 1200 1300 1400 P = 700 lbf/in2 (Tsat = 503.2oF) 1.4464 1.4592 1.4990 1.5320 1.5872 1.6343 1.6766 1.7155 1.7519 1.7861 1.8186 1.8497 0.656 1117.0 1202.0 1.4305 0.728 0.793 0.907 1.011 1.109 1.204 1.296 1.387 1.476 1.565 1149.0 1177.5 1226.9 1272.0 1315.6 1358.9 1402.4 1446.2 1490.4 1535.3 1243.2 1280.2 1344.4 1402.9 1459.3 1514.9 1570.2 1625.8 1681.7 1738.1 1.4723 1.5081 1.5661 1.6145 1.6576 1.6970 1.7337 1.7682 1.8009 1.8321 Sat. 500 550 600 700 800 900 1000 1100 1200 1300 1400 1.4027 1.4219 1.4652 1.4999 1.5297 1.5810 1.6257 1.6662 1.7036 1.7386 1.7717 1.8031 Sat. 550 600 650 700 800 900 1000 1100 1200 1300 1400 P = 800 lbf/in2 (Tsat = 518.3oF) Sat. 550 600 650 700 800 900 1000 1100 1200 1300 1400 h [BTU/lbm] P = 500 lbf/in2 (Tsat = 467.1oF) P = 600 lbf/in2 (Tsat = 486.3oF) Sat. 500 550 600 700 800 900 1000 1100 1200 1300 1400 u [BTU/lbm] P = 900 lbf/in2 (Tsat = 532.1oF) 1.4160 1.4469 1.4861 1.5186 1.5471 1.5969 1.6408 1.6807 1.7178 1.7526 1.7854 1.8167 0.501 0.527 0.587 0.639 0.686 0.772 0.851 0.927 1.001 1.073 1.144 1.214 TE-22 1112.6 1127.5 1162.2 1191.1 1217.1 1264.9 1310.1 1354.5 1398.7 1443.0 1487.8 1533.0 1196.0 1215.2 1260.0 1297.5 1331.4 1393.4 1451.9 1508.9 1565.4 1621.7 1687.3 1735.1 Table 12E. Properties of Superheated Water Vapor T [oF] v [ft3/lbm] u [BTU/lbm] h [BTU/lbm] s [BTU/(lbm∙R)] v [ft3/lbm] P = 1000 lbf/in2 (Tsat = 544.7oF) Sat. 600 650 700 800 900 1000 1100 1200 1300 1400 1600 0.446 0.514 0.564 0.608 0.688 0.761 0.831 0.898 0.963 1.027 1.091 1.215 1109.0 1153.7 1184.7 1212.0 1261.2 1307.3 1352.2 1396.8 1441.5 1486.5 1531.9 1624.4 1192.4 1248.8 1289.1 1324.6 1388.5 1448.1 1505.9 1562.9 1619.7 1676.5 1733.7 1849.3 0.302 0.318 0.367 0.406 0.471 0.529 0.582 0.632 0.681 0.728 0.774 0.865 1096.0 1110.9 1155.5 1189.6 1245.8 1295.6 1342.8 1389.1 1435.1 1481.1 1527.2 1620.8 1174.1 1193.1 1250.5 1294.8 1367.9 1432.5 1493.5 1552.8 1611.4 1669.6 1727.8 1844.8 1.3903 1.4450 1.4822 1.5135 1.5665 1.6120 1.6530 1.6908 1.7261 1.7593 1.7909 1.8499 0.362 0.402 0.450 0.491 0.562 0.626 0.685 0.743 0.798 0.853 0.906 1.011 0.218 0.251 0.291 0.322 0.350 0.399 0.443 0.484 0.524 0.561 0.598 0.670 1077.7 1117.0 1163.1 1198.6 1229.1 12283.2 1333.1 1381.2 1428.5 1475.5 1522.5 1617.2 1150.4 1200.4 1259.9 1305.9 1345.7 1416.1 1480.7 1542.5 1602.9 1662.5 1721.8 1840.4 s [BTU/(lbm∙R)] T [oF] 1103.5 1134.4 1170.9 1201.3 1253.7 1301.5 1347.5 1393.0 1438.3 1483.8 1529.6 1622.6 1183.9 1223.6 1270.8 1310.2 1378.4 1440.4 1499.7 1557.9 1615.5 1673.1 1730.7 1847.1 1.3673 1.4054 1.4490 1.4837 1.5402 1.5876 1.6297 1.6682 1.7040 1.7377 1.7696 1.8290 Sat. 600 650 700 800 900 1000 1100 1200 1300 1400 1600 P = 1600 lbf/in2 (Tsat = 605.1oF) 1.3461 1.3641 1.4171 1.4562 1.5168 1.5661 1.6094 1.6487 1.3851 1.7192 1.7513 1.8111 0.255 1087.4 1162.9 1.3258 0.303 0.342 0.403 0.466 0.504 0.549 0.592 0.634 0.675 0.755 1137.8 1177.0 1237.7 1289.5 1338.0 1385.2 1431.8 1478.3 1524.9 1619.0 1227.4 1278.1 1357.0 1424.4 1487.1 1547.7 1607.1 1666.1 1724.8 1842.6 1.3852 1.4299 1.4953 1.5468 1.5913 1.6315 1.6684 1.7029 1.7354 1.7955 Sat. 600 650 700 800 900 1000 1100 1200 1300 1400 1600 1.2861 1.3141 1.3782 1.4216 1.4562 1.5126 1.5598 1.6017 1.6398 1.6751 1.7082 1.7692 Sat. 650 700 750 800 900 1000 1100 1200 1300 1400 1600 P = 1800 lbf/in2 (Tsat = 621.2oF) Sat. 650 700 750 800 900 1000 1100 1200 1300 1400 1600 h [BTU/lbm] P = 1200 lbf/in2 (Tsat = 567.4oF) P = 1400 lbf/in2 (Tsat = 587.2oF) Sat. 600 650 700 800 900 1000 1100 1200 1300 1400 1600 u [BTU/lbm] P = 2000 lbf/in2 (Tsat = 636.0oF) 1.3060 1.3517 1.4042 1.4430 1.4753 1.5291 1.5749 1.6159 1.6534 1.6883 1.7211 1.7817 0.188 0.206 0.249 0.280 0.307 0.353 0.395 0.433 0.469 0.503 0.537 0.602 TE-23 1066.6 1091.1 1147.7 1187.3 1220.1 1276.8 1328.1 1377.2 1425.2 1472.7 1520.2 1615.4 1136.3 1167.2 1239.8 1291.1 1333.8 1407.6 1474.1 1537.2 1598.6 1659.0 1718.8 1838.2 Table 12E. Properties of Superheated Water Vapor T [oF] v [ft3/lbm] u [BTU/lbm] h [BTU/lbm] s [BTU/(lbm∙R)] v [ft3/lbm] P = 2500 lbf/in2 (Tsat = 668.3oF) Sat. 700 750 800 900 1000 1100 1200 1300 1400 1500 1600 0.1306 0.1684 0.2030 0.2291 0.2712 0.3069 0.3393 0.3696 0.3984 0.4261 0.4531 0.4795 1031.0 1098.7 1155.2 1195.7 1259.9 1315.2 1366.8 1416.7 1465.7 1514.2 1562.5 1610.8 1091.4 1176.6 1249.1 1301.7 1385.4 1457.2 1523.8 1587.7 0650.0 1711.3 1772.1 1832.6 0.0249 0.0306 0.1046 0.1363 0.1763 0.2066 0.2328 0.2566 0.2787 0.2997 0.3199 0.3395 663.5 759.5 1058.4 1134.7 1222.4 1287.6 1345.2 1399.2 1451.1 1501.9 1552.0 1601.7 679.7 779.3 1126.1 1223.0 1336.5 1421.4 1496.0 1565.3 1631.7 1696.1 1759.2 1831.6 1.2327 1.3073 1.3686 1.4112 1.4752 1.5262 1.5704 1.6101 1.6465 1.6804 1.7123 1.7424 0.0840 0.0977 0.1483 0.1757 0.2160 0.2485 0.2772 0.3086 0.3285 0.3524 0.3754 0.3978 0.0242 0.0278 0.0415 0.0844 0.1270 0.1552 0.1784 0.1989 0.2176 0.2352 0.2520 0.2681 653.6 732.7 870.8 1056.5 1183.7 1260.8 1324.7 1382.8 1437.7 1490.7 1542.7 1593.4 673.3 755.3 904.6 1125.3 1287.1 1387.2 1469.9 1544.7 1614.9 1682.3 1747.6 1811.7 s [BTU/(lbm∙R)] T [oF] 968.8 1003.9 1114.7 1167.6 1241.8 1301.7 1356.2 1408.0 1458.5 1508.1 1557.3 1606.3 1015.5 1058.1 1197.1 1265.2 1361.7 1439.6 1510.1 1576.6 1640.9 1703.7 1765.7 1827.1 1.1575 1.1944 1.3122 1.3675 1.4414 1.4967 1.5434 1.5848 1.6224 1.6571 1.6896 1.7201 Sat. 700 750 800 900 1000 1100 1200 1300 1400 1500 1600 0.8574 0.9345 1.1395 1.2740 1.3789 1.4449 1.4973 1.5423 1.5823 1.6188 1.6526 1.6841 650 700 750 800 900 1000 1100 1200 1300 1400 1500 1600 0.8499 0.9187 1.0154 1.1827 1.3310 1.4078 1.4653 1.5133 1.5555 1.5934 1.6282 1.6605 650 700 750 800 900 1000 1100 1200 1300 1400 1500 1600 P = 4000 lbf/in2 0.8630 0.9506 1.2440 1.3226 1.4096 1.4699 1.5193 1.5624 1.6012 1.6368 1.6699 1.7010 0.0245 0.0287 0.0633 0.1052 0.1462 0.1752 0.1995 0.2213 0.2414 0.2603 0.2784 0.2959 P = 4400 lbf/in2 650 700 750 800 900 1000 1100 1200 1300 1400 1500 1600 h [BTU/lbm] P = 3000 lbf/in2 (Tsat = 695.5oF) P = 3500 lbf/in2 650 700 750 800 900 1000 1100 1200 1300 1400 1500 1600 u [BTU/lbm] 657.7 742.1 960.7 1095.0 1201.5 1272.9 1333.9 1390.1 1443.7 1495.7 1546.7 1597.1 675.8 763.4 1007.5 1172.9 1309.7 1402.6 1481.6 1553.9 1622.4 1688.4 1752.8 1816.1 P = 4800 lbf/in2 0.8535 0.9257 1.0513 1.2306 1.3548 1.4260 1.4809 1.5274 1.5685 1.6057 1.6399 1.6718 0.0237 0.0271 0.0352 0.0668 0.1109 0.1385 0.1608 0.1802 0.1979 0.2143 0.2300 0.2450 TE-24 649.8 725.1 832.6 1011.2 1164.8 1248.3 1315.3 1375.4 1431.7 1485.7 1538.2 1589.8 671.0 749.1 863.9 1070.5 1263.4 1317.4 1458.1 1535.4 1607.4 1676.1 1742.5 1807.4 Table 13E. Properties of Compressed Liquid Water T [oF] v [ft3/lbm] u [BTU/lbm] h [BTU/lbm] s [BTU/(lbm∙R)] v [ft3/lbm] P = 500 lbf/in2 (Tsat = 467.1oF) 32 50 100 150 200 300 400 Sat. 0.015994 0.015998 0.016106 0.016318 0.016608 0.017416 0.018608 0.019748 0.00 18.02 67.87 117.66 167.65 268.92 373.68 447.70 1.49 19.50 69.36 119.17 169.19 270.53 385.40 449.53 0.015939 0.015946 0.016058 0.016268 0.016554 0.017343 0.018493 0.02024 0.02346 0.05 17.95 67.53 117.10 166.87 267.58 371.45 481.8 605.0 4.47 22.38 71.99 121.62 171.46 272.39 376.59 487.4 611.5 0.00000 0.03599 0.12932 0.21457 0.29341 0.43641 0.56604 0.64904 0.015967 0.015972 0.016082 0.016293 0.016580 0.017379 0.018550 0.021591 0.015859 0.015870 0.015987 0.016196 0.016476 0.017240 0.018334 0.019944 0.034310 0.09 17.84 67.04 116.30 165.74 265.66 368.32 476.2 783.5 8.90 26.65 75.91 125.29 174.89 275.23 378.50 487.3 802.5 s [BTU/(lbm∙R)] T [oF] 0.03 17.99 67.70 117.38 167.26 268.24 372.55 538.39 2.99 20.94 70.68 120.40 170.32 271.46 375.98 542.38 0.00005 0.03592 0.12901 0.21410 0.29281 0.43552 0.56472 0.74320 32 50 100 150 200 300 400 Sat. P = 2000 lbf/in2 (Tsat = 636.0oF) 0.00007 0.03584 0.12870 0.21364 0.29221 0.43463 0.56343 0.6853 0.8082 0.015912 0.015920 0.016034 0.016244 0.016527 0.017308 0.018439 0.02014 0.02565 P = 3000 lbf/in2 (Tsat = 695.5oF) 32 50 100 150 200 300 400 500 Sat. h [BTU/lbm] P = 1000 lbf/in2 (Tsat = 544.7oF) P = 1500 lbf/in2 (Tsat = 596.4oF) 32 50 100 150 200 300 400 500 Sat. u [BTU/lbm] 0.06 17.91 67.37 116.83 166.49 266.93 370.38 479.8 662.4 5.95 23.81 73.30 122.84 172.60 273.33 377.21 487.3 671.9 0.00008 0.03575 0.12839 0.21318 0.29162 0.43376 0.56216 0.6832 0.8623 32 50 100 150 200 300 400 500 Sat. 0.00005 0.03534 0.12714 0.21136 0.28931 0.43038 0.55734 0.6758 32 50 100 150 200 300 400 500 P = 4000 lbf/in2 0.00009 0.03555 0.12777 0.21226 0.29046 0.43205 0.55970 0.6794 0.9732 0.015807 0.015821 0.015942 0.016150 0.016425 0.017174 0.018235 0.019766 TE-25 0.10 17.76 66.72 115.77 165.02 264.43 366.35 472.9 11.80 29.47 78.52 127.73 177.18 277.15 379.85 487.5 Table 14E. Properties of Saturated Refrigerant 134a (Liquid-Vapor): Temperature Table Temp [oF] –40 –30 –20 –15 –10 –5 0 5 10 15 20 25 30 40 50 60 70 80 85 90 95 100 105 110 115 120 140 160 180 200 210 Sat Pressure [lbf/in2] 7.490 9.920 12.949 14.718 16.674 18.831 21.203 23.805 26.651 29.756 33.137 36.809 40.788 49.738 60.125 72.092 85.788 101.37 109.92 118.99 128.62 138.83 149.63 161.04 173.10 185.82 243.86 314.63 400.22 503.52 563.51 Specific Volume [ft3/lbm] Sat. Sat. Liquid Vapor (vf) (vg) 0.01130 5.7173 0.01143 4.3911 0.01156 3.4173 0.01163 3.0286 0.01170 2.6918 0.01178 2.3992 0.01185 2.1440 0.01193 1.9208 0.01200 1.7251 0.01208 1.5529 0.01216 1.4009 0.01225 1.2666 0.01233 1.1474 0.01251 0.9170 0.01270 0.7871 0.01290 0.6584 0.01311 0.5538 0.01334 0.4682 0.01346 0.4312 0.01358 0.3975 0.01371 0.3668 0.01385 0.3388 0.01399 0.3131 0.01414 0.2896 0.01429 0.2680 0.01445 0.2481 0.01520 0.1827 0.01617 0.1341 0.01758 0.0964 0.02014 0.0647 0.02329 0.0476 Specific Internal Energy [BTU/lbm] Sat. Sat. Liquid Vapor (uf) (ug) –0.02 87.90 2.81 89.26 5.69 90.62 7.14 91.30 8.61 91.98 10.09 92.66 11.58 93.33 13.09 94.01 14.60 94.68 16.13 95.35 17.67 96.02 19.22 96.69 20.78 97.35 23.94 98.67 27.14 99.98 30.39 101.27 33.68 102.54 37.02 103.78 38.72 104.39 40.42 105.00 42.14 105.60 43.87 106.18 45.62 106.76 47.39 107.33 49.17 107.88 50.97 108.42 58.39 110.41 66.26 111.97 74.83 112.77 84.90 111.66 91.84 108.48 Specific Enthalpy [BTU/lbm] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) 0.00 95.82 95.82 2.83 94.49 97.32 5.71 93.10 98.81 7.17 92.38 99.55 8.65 91.64 100.29 10.13 90.89 101.02 11.63 90.12 101.75 13.14 89.33 102.47 14.66 88.53 103.19 16.20 87.71 103.90 17.74 86.87 104.61 19.30 86.02 105.32 20.87 85.14 106.01 24.05 83.34 107.39 27.28 81.46 108.74 30.56 79.49 110.05 33.89 77.44 111.33 37.27 75.29 112.56 38.99 74.17 113.16 40.72 73.03 113.75 42.47 71.86 114.33 44.23 70.66 114.89 46.01 69.42 115.43 47.81 68.15 115.96 49.63 66.84 116.47 51.47 65.48 116.95 59.08 59.57 118.65 67.20 52.58 119.78 76.13 43.78 119.91 86.77 30.92 117.69 94.27 19.18 113.45 Specific Entropy [BTU/(lbm∙R)] Sat. Sat. Liquid Vapor (sf) (sg) 0.0000 0.2283 0.0067 0.2266 0.0133 0.2250 0.0166 0.2243 0.0199 0.2236 0.0231 0.2230 0.0264 0.2224 0.0296 0.2219 0.0329 0.2214 0.0361 0.2209 0.0393 0.2205 0.0426 0.2200 0.0458 0.2196 0.0522 0.2189 0.0585 0.2183 0.0648 0.2178 0.0711 0.2173 0.0774 0.2169 0.0805 0.2167 0.0836 0.2165 0.0867 0.2163 0.0898 0.2161 0.0930 0.2159 0.0961 0.2157 0.0992 0.2155 0.1023 0.2153 0.1150 0.2143 0.1280 0.2128 0.1417 0.2101 0.1575 0.2044 0.1684 0.1971 Temp [oF] –40 –30 –20 –15 –10 –5 0 5 10 15 20 25 30 40 50 60 70 80 85 90 95 100 105 110 115 120 140 160 180 200 210 Source: Tables 14E through 16E are from M. J. Moran and H. N. Shapiro, Fundamentals of Engineering Thermodynamics, 6th Ed., John Wiley & Sons, Inc., 2008, pp. 883-887 (calculated based on equations for D. P. Wilson and R. S. Basu, “Thermodynamic Properties of a New Stratospherically Safe Working Fluid—Refrigerant 134a,” ASHRAE Trans., Vol. 94, Pt. 2, 1988, pp. 2095-2118). This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. TE-26 Table 15E. Properties of Saturated Refrigerant 134a (Liquid-Vapor): Pressure Table Specific Internal Energy [BTU/lbm] Sat. Sat. Liquid Vapor (uf) (ug) –3.74 86.07 2.89 89.30 7.36 91.40 10.84 93.00 16.24 95.40 20.48 97.23 Press. (P) [lbf/in2] 5 10 15 20 30 40 Sat Temp. (Tsat) [oF] –53.48 –29.71 –14.25 –2.48 15.38 29.04 Specific Volume [ft3/lbm] Sat. Sat. Liquid Vapor (vf) (vg) 0.01113 8.3508 0.01143 4.3581 0.01164 2.9747 0.01181 2.2661 0.01209 1.5408 0.01232 1.1692 Specific Enthalpy [BTU/lbm] Sat. Sat. Liquid Evap. Vapor (hf) (hfg) (hg) –3.73 97.53 93.79 2.91 94.45 97.37 7.40 92.27 99.66 10.89 90.50 101.39 16.31 87.65 103.96 20.57 85.31 105.88 50 60 70 80 90 100 40.27 49.89 58.35 65.93 72.83 79.17 0.01252 0.01270 0.01286 0.01302 0.01317 0.01332 0.9422 0.7887 0.6778 0.5938 0.5278 0.4747 24.02 27.10 29.85 32.33 34.62 36.75 98.71 99.96 101.05 102.02 102.89 103.68 24.14 27.24 31.01 32.53 34.84 36.99 83.29 81.48 79.82 78.28 76.84 75.47 107.43 108.72 109.83 110.81 111.68 112.46 0.0523 0.0584 0.0638 0.0686 0.0729 0.0768 0.2189 0.2183 0.2179 0.2175 0.2172 0.2169 50 60 70 80 90 100 120 140 160 180 200 220 90.54 100.56 109.56 117.74 125.28 132.27 0.01360 0.01386 0.01412 0.01438 0.01463 0.01489 0.3941 0.3358 0.2916 0.2569 0.2288 0.2056 40.61 44.07 47.23 50.16 52.90 55.48 105.06 106.25 107.28 108.18 108.98 109.68 40.91 44.43 47.65 50.64 53.44 56.09 72.91 70.52 68.26 66.10 64.01 61.96 113.82 114.95 115.91 116.74 117.44 118.05 0.0839 0.0902 0.0958 0.1009 0.1057 0.1101 0.2165 0.2161 0.2157 0.2154 0.2151 0.2147 120 140 160 180 200 220 240 260 280 300 350 400 450 138.79 144.92 150.70 156.17 168.72 179.95 190.12 0.01515 0.01541 0.01568 0.01596 0.01671 0.01758 0.01863 0.1861 0.1695 0.1550 0.1424 0.1166 0.0965 0.0800 57.93 60.28 62.53 64.71 69.88 74.81 79.63 110.30 110.84 111.31 111.72 112.45 112.77 112.60 58.61 61.02 63.34 65.59 70.97 76.11 81.18 59.96 57.97 56.00 54.03 49.03 43.80 38.08 118.56 118.99 119.35 119.62 120.00 119.91 119.26 0.1142 0.1181 0.1219 0.1254 0.1338 0.1417 0.1493 0.2144 0.2140 0.2136 0.2132 0.2118 0.2102 0.2079 240 260 280 300 350 400 450 500 199.38 0.02002 0.0657 84.54 111.76 86.39 31.44 117.83 0.1570 0.2047 500 TE-27 Specific Entropy [BTU/(lbm∙R)] Sat. Sat. Liquid Vapor (sf) (sg) –0.0090 0.2311 0.0068 0.2265 0.0171 0.2242 0.0248 0.2227 0.0364 0.2209 0.0452 0.2197 Press. (P) [lbf/in2] 5 10 15 20 30 40 Table 16E. Properties of Superheated Refrigerant 134a Vapor T [oF] v [ft3/lbm] u [BTU/lbm] h [BTU/lbm] s [BTU/(lbm∙R)] v [ft3/lbm] P = 10 lbf/in2 (Tsat = –29.71oF) Sat. –20 0 20 40 60 80 100 120 140 160 180 200 4.3581 4.4718 4.7026 4.9297 5.1539 5.3758 5.5959 5.8145 6.0318 6.2482 6.4638 6.6786 6.8929 89.30 90.89 94.24 97.67 101.19 104.80 108.50 112.29 116.18 120.16 124.23 128.38 132.63 97.37 99.17 102.94 106.79 110.72 114.74 118.85 123.05 127.34 131.72 136.19 140.74 145.39 2.2661 2.2816 2.4046 2.5244 2.6416 2.7569 2.8705 2.9829 3.0942 3.2047 3.3144 3.4236 3.5323 93.00 93.43 96.98 100.59 104.28 108.05 111.90 115.83 119.85 123.95 128.13 132.40 136.76 101.39 101.88 105.88 109.94 114.06 118.25 122.52 126.87 131.30 135.81 140.40 145.07 149.83 0.2265 0.2307 0.2391 0.2472 0.2553 0.2632 0.2709 0.2786 0.2861 0.2935 0.3009 0.3081 0.3152 1.1692 1.2065 1.2723 1.3357 1.3973 1.4575 1.5165 1.5746 1.6319 1.6887 1.7449 1.8006 1.8561 1.9112 97.23 99.33 103.20 107.11 111.08 115.11 119.21 123.38 127.62 131.94 136.34 140.81 145.36 149.98 105.88 108.26 112.62 117.00 121.42 125.90 130.43 135.03 139.70 144.44 149.25 154.14 159.10 164.13 s [BTU/(lbm∙R)] 2.9747 91.40 99.66 0.2242 3.0893 3.2468 3.4012 3.5533 3.7034 3.8520 3.9993 4.1456 4.2911 4.4359 4.5801 93.84 97.33 100.89 104.54 108.28 112.10 116.01 120.00 124.09 128.26 132.52 102.42 106.34 110.33 114.40 118.56 122.79 127.11 131.51 136.00 140.57 145.23 0.2303 0.2386 0.2468 0.2548 0.2626 0.2703 0.2779 0.2854 0.2927 0.3000 0.3072 T [oF] Sat. –20 0 20 40 60 80 100 120 140 160 180 200 P = 30 lbf/in2 (Tsat = 15.38oF) 0.2227 0.2238 0.2323 0.2406 0.2487 0.2566 0.2644 0.2720 0.2795 0.2869 0.2922 0.3014 0.3085 1.5408 95.40 103.96 0.2209 1.5611 1.6465 1.7293 1.8098 1.8887 1.9662 2.0426 2.1181 2.1929 2.2671 2.3407 96.26 99.98 103.75 107.59 111.49 115.47 119.53 123.66 127.88 132.17 136.55 104.92 109.12 113.35 117.63 121.98 126.39 130.87 135.42 140.05 144.76 149.54 0.2229 0.2315 0.2398 0.2478 0.2558 0.2635 0.2711 0.2786 0.2859 0.2932 0.3003 P = 40 lbf/in2 (Tsat = 29.04oF) Sat. 40 60 80 100 120 140 160 180 200 220 240 260 280 h [BTU/lbm] P = 15 lbf/in2 (Tsat = –14.25oF) P = 20 lbf/in2 (Tsat = –2.48oF) Sat. 0 20 40 60 80 100 120 140 160 180 200 220 u [BTU/lbm] Sat. 0 20 40 60 80 100 120 140 160 180 200 220 P = 50 lbf/in2 (Tsat = 40.27oF) 0.2197 0.2245 0.2331 0.2414 0.2494 0.2573 0.2650 0.2725 0.2799 0.2872 0.2944 0.3015 0.3085 0.3154 TE-28 0.9422 98.71 107.43 0.2189 0.9974 1.0508 1.1022 1.1520 1.2007 1.2484 1.2953 1.3415 1.3873 1.4326 1.4775 1.5221 102.62 106.62 110.65 114.74 118.88 123.08 127.36 131.71 136.12 140.61 145.18 149.82 111.85 116.34 120.85 125.39 129.99 134.64 139.34 144.12 148.96 153.87 158.85 163.90 0.2276 0.2361 0.2443 0.2523 0.2601 0.2677 0.2752 0.2825 0.2897 0.2969 0.3039 0.3108 Sat. 40 60 80 100 120 140 160 180 200 220 240 260 280 Table 16E. Properties of Superheated Refrigerant 134a Vapor T [oF] v [ft3/lbm] u [BTU/lbm] h [BTU/lbm] s [BTU/(lbm∙R)] v [ft3/lbm] P = 60 lbf/in2 (Tsat = 49.89oF) Sat. 60 80 100 120 140 160 180 200 220 240 260 280 300 0.7887 0.8135 0.8604 0.9051 0.9482 0.9900 1.0308 1.0707 1.1100 1.1488 1.1871 1.2251 1.2627 1.3001 99.96 102.03 106.11 110.21 114.35 118.54 122.79 127.10 131.47 135.91 140.42 145.00 149.65 154.38 108.72 111.06 115.66 120.26 124.88 129.53 134.23 138.98 143.79 148.66 153.60 158.60 163.67 168.81 0.5938 0.6211 0.6579 0.6927 0.7261 0.7584 0.7898 0.8205 0.8506 0.8803 0.9095 0.9384 0.9671 0.9955 102.02 105.03 109.30 113.56 117.85 122.18 126.55 130.98 135.47 140.02 144.63 149.32 154.06 158.88 110.81 114.23 119.04 123.82 128.60 133.41 138.25 143.13 148.06 153.05 158.10 163.21 168.38 173.62 0.2183 0.2229 0.2316 0.2399 0.2480 0.2559 0.2636 0.2712 0.2786 0.2859 0.2930 0.3001 0.3070 0.3139 0.6778 0.6714 0.7239 0.7640 0.8023 0.8393 0.8752 0.9103 0.9446 0.9784 1.0118 1.0448 1.0774 1.1098 0.4747 0.4761 0.5086 0.5388 0.5674 0.5947 0.6210 0.6446 0.6716 0.6960 0.7201 0.7438 0.7672 0.7904 103.68 103.87 108.32 112.73 117.13 121.55 125.99 130.48 135.02 139.61 144.26 148.98 153.75 158.59 112.46 112.68 117.73 122.70 127.63 132.55 137.49 142.45 147.45 152.49 157.59 162.74 167.95 173.21 s [BTU/(lbm∙R)] T [oF] 101.05 101.40 105.58 109.76 113.96 118.20 122.49 126.83 131.23 135.69 140.22 144.82 149.48 154.22 109.83 110.23 114.96 119.66 124.36 129.07 133.82 138.62 143.46 148.36 153.33 158.35 163.44 168.60 0.2179 0.2186 0.2276 0.2361 0.2444 0.2524 0.2601 0.2678 0.2752 0.2825 0.2897 0.2968 0.3038 0.3107 Sat. 60 80 100 120 140 160 180 200 220 240 260 280 300 0.2172 0.2205 0.2295 0.2380 0.2463 0.2542 0.2620 0.2696 0.2770 0.2843 0.2914 0.2984 0.3054 0.3122 Sat. 80 100 120 140 160 180 200 220 240 260 280 300 320 Sat. 80 100 120 140 160 180 200 220 240 260 280 300 320 P = 90 lbf/in2 (Tsat = 72.83oF) 0.2175 0.2239 0.2327 0.2411 0.2492 0.2570 0.2647 0.2722 0.2796 0.2868 0.2940 0.3010 0.3079 0.3147 0.5278 0.5408 0.5751 0.6073 0.6381 0.6675 0.6961 0.7239 0.7512 0.7779 0.8043 0.8303 0.8561 0.8816 P = 100 lbf/in2 (Tsat = 79.17oF) Sat. 80 100 120 140 160 180 200 220 240 260 280 300 320 h [BTU/lbm] P = 70 lbf/in2 (Tsat = 58.35oF) P = 80 lbf/in2 (Tsat = 65.93oF) Sat. 80 100 120 140 160 180 200 220 240 260 280 300 320 u [BTU/lbm] 102.89 104.46 108.82 113.15 117.50 121.87 126.28 130.73 135.25 139.82 144.45 149.15 153.91 158.73 111.68 113.47 118.39 123.27 128.12 132.98 137.87 142.79 147.76 152.77 157.84 162.97 168.16 173.42 P = 120 lbf/in2 (Tsat = 90.54oF) 0.2169 0.2173 0.2265 0.2352 0.2436 0.2517 0.2595 0.2671 0.2746 0.2819 0.2891 0.2962 0.3031 0.3099 TE-29 0.3941 105.06 113.82 0.2165 0.4080 0.4322 0.4610 0.4852 0.5082 0.5305 0.5520 0.5731 0.5937 0.6140 0.6339 0.6537 107.26 111.84 116.37 120.89 125.42 129.97 134.56 139.20 143.89 148.63 153.43 158.29 116.32 121.52 126.61 131.66 136.70 141.75 146.82 151.92 157.07 162.26 167.51 172.81 0.2210 0.2301 0.2387 0.2470 0.2550 0.2628 0.2704 0.2778 0.2850 0.2921 0.2991 0.3060 Table 16E. Properties of Superheated Refrigerant 134a Vapor T [oF] v [ft3/lbm] u [BTU/lbm] h [BTU/lbm] s [BTU/(lbm∙R)] v [ft3/lbm] P = 140 lbf/in2 (Tsat = 100.56oF) Sat. 120 140 160 180 200 220 240 260 280 300 320 340 360 0.3358 0.3610 0.3846 0.4066 0.4274 0.4474 0.4666 0.4852 0.5034 0.5212 0.5387 0.5559 0.5730 0.5898 106.25 110.90 115.58 120.21 124.82 129.44 134.09 138.77 143.50 148.28 153.11 157.99 162.93 167.93 114.95 120.25 125.54 130.74 135.89 141.03 146.18 151.34 156.54 161.78 167.06 172.39 177.78 183.21 0.2569 0.2595 0.2814 0.3011 0.3191 0.3361 0.3523 0.3678 0.3828 0.3974 0.4116 0.4256 0.4393 0.4529 108.18 108.77 113.83 118.74 123.56 128.34 133.11 137.90 152.71 147.55 152.44 157.38 162.36 167.40 116.74 117.41 123.21 128.77 134.19 139.53 144.84 150.15 155.46 160.79 166.15 171.55 177.00 182.49 0.2161 0.2254 0.2344 0.2429 0.2511 0.2590 0.2667 0.2742 0.2815 0.2887 0.2957 0.3026 0.3094 0.3162 0.2916 0.3044 0.3269 0.3474 0.3666 0.3849 0.4023 0.4192 0.4356 0.4516 0.4672 0.4826 0.4978 0.5128 0.1424 0.1462 0.1633 0.1777 0.1905 0.2021 0.2130 0.2234 0.2333 0.2428 0.2521 0.2611 0.2699 0.2786 111.72 112.95 118.93 124.47 129.79 134.99 140.12 145.23 150.33 155.44 160.57 165.74 170.94 176.18 119.62 121.07 128.00 134.34 140.36 146.21 151.95 157.63 163.28 168.92 174.56 180.23 185.92 191.64 s [BTU/(lbm∙R)] T [oF] 107.28 109.88 114.73 119.49 124.20 128.90 133.61 138.34 143.11 147.92 152.78 157.69 162.65 167.67 115.91 118.89 124.41 129.78 135.06 140.29 145.52 150.75 156.00 161.29 166.61 171.98 177.39 182.85 0.2157 0.2209 0.2303 0.2391 0.2475 0.2555 0.2633 0.2709 0.2783 0.2856 0.2927 0.2996 0.3065 0.3132 Sat. 120 140 160 180 200 220 240 260 280 300 320 340 360 Sat. 120 140 160 180 200 220 240 260 280 300 320 340 360 P = 200 lbf/in2 (Tsat = 125.28oF) 0.2154 0.2166 0.2264 0.2355 0.2441 0.2524 0.2603 0.2680 0.2755 0.2828 0.2899 0.2969 0.3038 0.3106 0.2288 108.98 117.44 0.2151 0.2446 0.2636 0.2809 0.2970 0.3121 0.3266 0.3405 0.3540 0.3671 0.3799 0.3926 0.4050 112.87 117.94 122.88 127.76 132.60 137.44 142.30 147.18 152.10 157.07 162.07 167.13 121.92 127.70 133.28 138.75 144.15 149.53 154.90 160.28 165.69 171.13 176.60 182.12 0.2226 0.2321 0.2410 0.2494 0.2575 0.2653 0.2728 0.2802 0.2874 0.2945 0.3014 0.3082 P = 300 lbf/in2 (Tsat = 156.17oF) Sat. 160 180 200 220 240 260 280 300 320 340 360 380 400 h [BTU/lbm] P = 160 lbf/in2 (Tsat = 381.8oF) P = 180 lbf/in2 (Tsat = 117.74oF) Sat. 120 140 160 180 200 220 240 260 280 300 320 340 360 u [BTU/lbm] P = 400 lbf/in2 (Tsat = 179.95oF) 0.2132 0.2155 0.2265 0.2363 0.2453 0.2537 0.2618 0.2696 0.2772 0.2845 0.2916 0.2986 0.3055 0.3122 TE-30 0.0965 112.77 119.91 0.2102 0.0965 0.1143 0.1275 0.1386 0.1484 0.1575 0.1660 0.1740 0.1816 0.1890 0.1962 0.2032 112.79 120.14 126.35 132.12 137.65 143.06 148.39 153.69 158.97 164.26 169.57 174.90 119.93 128.60 135.79 142.38 148.64 154.72 160.67 166.57 172.42 178.26 184.09 189.94 0.2102 0.2235 0.2343 0.2438 0.2527 0.2610 0.2689 0.2766 0.2840 0.2912 0.2983 0.3051 Sat. 160 180 200 220 240 260 280 300 320 340 360 380 400 Table 17E. Thermochemical Properties of Selected Substances at 537 R and 1 atm Molecular Weight (M) Enthalpy of Formation ( hf° ) Gibbs Function of Formation ( g f° ) Absolute Entropy ( s° ) Higher (HHV) Lower (LHV) Formula C(s) H2(g) N2(g) O2(g) CO(g) [lbm/lbmol] [BTU/lbmol] [BTU/lbmol] [BTU/(lbmol∙R)] [BTU/lbm] [BTU/lbm] 12.01 2.016 28.01 32.00 28.01 0 0 0 0 –47,540 0 0 0 0 –59,010 1.36 31.19 45.74 48.98 47.27 14,100 61,000 ------- 14,100 51,610 ------- Ammonia Oxygen CO2(g) H2O(g) H2O(l) H2O2(g) NH3(g) O(g) 44.01 18.02 18.02 34.02 17.03 16.00 –169,300 –104,040 –122,970 –58,640 –19,750 107,210 –169,680 –98,350 –102,040 –45,430 –7140 99,710 51.03 45.08 16.71 55.60 45.97 38.47 ------------- ------------- Hydrogen Nitrogen Hydroxyl Methane Acetylene Ethylene H(g) N(g) OH(g) CH4(g) C2H2(g) C2H4(g) 1.008 14.01 17.01 16.04 26.04 28.05 93,780 203,340 16,790 –32,210 97,540 22,490 87,460 195,970 14,750 –21,860 87,990 29,306 27.39 36.61 43.92 44.49 48.00 52.54 ------23,880 21,470 21,640 ------21,520 20,740 20,290 Ethane Propylene Propane Butane Pentane Octane C2H6(g) C3H6(g) C3H8(g) C4H10(g) C5H12(g) C8H18(g) 30.07 42.08 44.09 58.12 72.15 114.22 –36,420 8,790 –44,680 –54,270 –62,960 –89,680 –14,150 26,980 –10,105 –6,760 –3,530 7,110 54.85 63.80 64.51 74.11 83.21 111.55 22,320 21,050 21,660 21,300 21,090 20,760 20,430 19,700 19,950 19,670 19,510 19,270 C8H18(l) C6H6(g) CH3OH(g) CH3OH(l) C2H5OH(g) C2H5OH(l) 114.22 78.11 32.04 32.04 46.07 46.07 –107,530 35,680 –86,540 –102,670 –101,230 –119,470 2,840 55,780 –69,700 –71,570 –72,520 75,240 86.23 64.34 57.29 30.30 67.54 38.40 20,610 18,180 10,260 9,760 13,160 12,760 19,110 17,460 9,080 8,570 11,930 11,530 Substance Carbon Hydrogen Nitrogen Oxygen Carbon monoxide Carbon dioxide Water Water Hydrogen peroxide Octane Benzene Methyl alcohol Methyl alcohol Ethyl alcohol Ethyl alcohol Heating Values Source: M. J. Moran and H. N. Shapiro, Fundamentals of Engineering Thermodynamics, 6th Ed., John Wiley & Sons, Inc., 2008, p. 910 (based on the JANAF Thermochemical Tables, NSRDS-NBS-37, 1971; Selected Values of Chemical Thermodynamics Properties, NBS Tech. Note 270-3, 1968; and API Research Project 44, Carnegie Press, 1953. Heating values calculated). This material is reproduced with permission of Wiley Publishing Inc., a subsidiary of John Wiley & Sons, Inc. TE-31 Section 2 List of Figures (English Units) Figure Title / Page 1E Mollier Diagram (English units) FE-1 2E HFC-134a Pressure-Enthalpy Diagram (English units) FE-2 Figure 1E. Mollier Diagram (English units) Courtesy of The Babcock & Wilcox Company FE-1 HFC-134a Pressure-Enthalpy Diagram courtesy of DuPont Refrigerants. Figure 2E. HFC-134a Pressure-Enthalpy Diagram (English units) FE-2 Unit Conversions Length Force 1 m = 100 cm = 1000 mm 1 km = 1000 m 1 ft = 12 in 1 mile (statute) = 1,760 yd = 5,280 ft 1 cm = 0.3937 in 1 m = 39.37 in = 3.2808 ft 1 km = 0.6214 mile (statute) 1 in = 2.54 cm 1 ft = 30.48 cm = 0.3048 m 1 mile (statute) = 1.609 km 1 mile (nautical) = 1.1508 mile (statute) 1 mile (nautical) = 6076.2 ft Volume 1 m3 = 1000 L = 1 × 106 cm3 1 L = 0.001 m3 1 ft3 = 1728 in3 1 gal = 231 in3 = 0.13368 ft3 1 m3 = 35.31 ft3 1 L = 0.0353 ft3 = 0.264 gal 1 ft3 = 0.02832 m3 = 28.32 L 1 gal = 3.785 L = 0.003785 m3 1 N = 1 (kg∙m)/s2 1 kN = 1000 N 1 lbf = 1 (slug∙ft)/s2 = 32.174 (lbm∙ft)/s2 1 N = 0.2248 lbf 1 lbf = 4.448 N Pressure 1 Pa = 1 N/m2 1 kPa = 1,000 Pa 1 MPa = 1,000,000 Pa = 1,000 kPa 1 bar = 100 kPa 1 atm = 14.696 lbf/in2 1 atm = 29.92 in Hg 1 atm = 101.325 kPa = 1.01325 bar = 760 mm Hg 1 lbf/in2 = 6.8947 kPa Energy and Specific Energy 1 J = 1 N∙m 1 kJ = 1000 J 1 kJ = 1 kPa∙m3 1 kJ/kg = 1000 m2/s2 1 BTU = 778.17 ft∙lbf 1 BTU/lbm = 2.3261 kJ/kg 1 BTU/lbm = 25,037 ft2/s2 1 kJ = 737.56 ft∙lbf = 0.9478 BTU 1 ft∙lbf = 1.3558 J 1 BTU = 1.0551 kJ Time 1 min = 60 s 1 hr = 60 min = 3600 s 1 day = 24 hr 1 week = 7 days 1 year = 365 days Energy Transfer Rate Velocity 1 km/hr = 0.6214 mile/hr 1 m/s = 3.2808 ft/s 1 mile/hr = 1.6094 km/hr 1 ft/s = 0.3048 m/s 1 knot = 1 mile (nautical)/hr = 1.688 ft/s 1 W = 1 J/s = 1 volt∙ampere 1 kW = 1000 W = 1000 J/s = 1 kJ/s 1 MW = 1000 kW 1 hp = 550 (ft∙lbf)/s = 2545 BTU/hr 1 kW = 1.341 hp = 737.55 (ft∙lbf)/s = 3413 BTU/hr 1 W = 3.413 BTU/hr 1 hp = 0.7457 kW 1 ton = 200 BTU/min = 3.517 kW Mass 1 kg = 1000 g 1 slug = 32.174 lbm 1 kg = 2.2046 lbm = 0.06852 slug 1 slug = 14.594 kg 1 lbm = 0.4536 kg Temperature T[K] = T[oC] + 273.15 T[R] = T[oF] + 459.67 T[R] = 1.8 T[K] Fundamental Constants Universal Gas Constant Gravitational Acceleration (standard) R = 8.314 kJ/(kmol∙K) R = 1,545 (ft∙lbf)/(lbmol∙R) R = 1.986 BTU/(lbmol∙R) g = 9.81 m/s2 g = 32.174 ft/s2