APPENDIX PROP ERTY TABLES AND CHARTS (SI UNITS) Table Table Table Table Table Table Table Table A–1 A–2 A–3 A–4 A–5 A–6 A–7 A–8 Molar mass, gas constant, and critical-point properties 898 Ideal-gas specific heats of various common gases 899 Properties of common liquids, solids, and foods 902 Saturated water—T water—Temperature emperature table 904 Saturated water—Pressure table 906 Superheated water 908 Compressed liquid water 912 Saturated ice–water vapor 913 1 898 PROPERTY TABLES AND CHARTS TABLE A–1 Molar mass, gas constant, and critical2point properties Substance Formula Air — Ammonia NH3 Argon Ar Benzene C6H6 Bromine Br2 n2Butane C4H10 Carbon dioxide CO2 Carbon monoxide CO Carbon tetrachloride CCl4 Chlorine Cl2 Chloroform CHCl3 Dichlorodifluoromethane (R212) CCl2F2 Dichlorofluoromethane (R221) CHCl2F Ethane C2H6 Ethyl alcohol C2H5OH Ethylene C2H4 Helium He n2Hexane C6H14 Hydrogen (normal) H2 Molar mass, M kg/kmol 28.97 17.03 39.948 78.115 159.808 58.124 44.01 28.011 153.82 70.906 119.38 120.91 102.92 30.070 46.07 28.054 4.003 86.179 2.016 Gas constant, R kJ/kg·K* 0.2870 0.4882 0.2081 0.1064 0.0520 0.1430 0.1889 0.2968 0.05405 0.1173 0.06964 0.06876 0.08078 0.2765 0.1805 0.2964 2.0769 0.09647 4.1240 Critical-point properties Temperature, K 132.5 405.5 151 562 584 425.2 304.2 133 556.4 417 536.6 384.7 451.7 305.5 516 282.4 5.3 507.9 33.3 Pressure, MPa Volume, m3/kmol 3.77 11.28 4.86 4.92 10.34 3.80 7.39 3.50 4.56 7.71 5.47 4.01 5.17 4.48 6.38 5.12 0.23 3.03 1.30 0.0883 0.0724 0.0749 0.2603 0.1355 0.2547 0.0943 0.0930 0.2759 0.1242 0.2403 0.2179 0.1973 0.1480 0.1673 0.1242 0.0578 0.3677 0.0649 899 APPENDIX 1 TABLE A–2 Ideal2gas specific heats of various common gases (a) At 300 K Gas Formula Air Argon Butane Carbon dioxide Carbon monoxide Ethane Ethylene Helium Hydrogen Methane Neon Nitrogen Octane Oxygen Propane Steam — Ar C4H10 CO2 CO C2H6 C2H4 He H2 CH4 Ne N2 C8H18 O2 C3H8 H2O Gas constant, R kJ/kg·K 0.2870 0.2081 0.1433 0.1889 0.2968 0.2765 0.2964 2.0769 4.1240 0.5182 0.4119 0.2968 0.0729 0.2598 0.1885 0.4615 cp kJ/kg·K 1.005 0.5203 1.7164 0.846 1.040 1.7662 1.5482 5.1926 14.307 2.2537 1.0299 1.039 1.7113 0.918 1.6794 1.8723 c kJ/kg·K v 0.718 0.3122 1.5734 0.657 0.744 1.4897 1.2518 3.1156 10.183 1.7354 0.6179 0.743 1.6385 0.658 1.4909 1.4108 Note: The unit kJ/kg·K is equivalent to kJ/kg· 8C. Source of Data: B. G. Kyle, Chemical and Process Thermodynamics, 3rd ed . (Upper Saddle River, NJ: Prentice Hall, 2000). k 1.400 1.667 1.091 1.289 1.400 1.186 1.237 1.667 1.405 1.299 1.667 1.400 1.044 1.395 1.126 1.327 900 PROPERTY TABLES AND CHARTS TABLE A–2 Ideal2gas specific heats of various common gases (Continued) (b) At various temperatures Temperature, K 250 300 350 400 450 500 550 600 650 700 750 800 900 1000 cp kJ/kg·K c kJ/kg·K v k Air 1.003 1.005 1.008 1.013 1.020 1.029 1.040 1.051 1.063 1.075 1.087 1.099 1.121 1.142 0.716 0.718 0.721 0.726 0.733 0.742 0.753 0.764 0.776 0.788 0.800 0.812 0.834 0.855 cp kJ/kg·K 14.051 14.307 9.927 10.183 v k Carbon dioxide, CO2 1.401 1.400 1.398 1.395 1.391 1.387 1.381 1.376 1.370 1.364 1.359 1.354 1.344 1.336 0.791 0.846 0.895 0.939 0.978 1.014 1.046 1.075 1.102 1.126 1.148 1.169 1.204 1.234 Hydrogen, H2 250 300 c kJ/kg·K 0.602 0.657 0.706 0.750 0.790 0.825 0.857 0.886 0.913 0.937 0.959 0.980 1.015 1.045 1.314 1.288 1.268 1.252 1.239 1.229 1.220 1.213 1.207 1.202 1.197 1.193 1.186 1.181 cp kJ/kg·K 1.039 1.039 0.742 0.743 v k Carbon monoxide, CO 1.039 1.040 1.043 1.047 1.054 1.063 1.075 1.087 1.100 1.113 1.126 1.139 1.163 1.185 Nitrogen, N2 1.416 1.405 c kJ/kg·K 0.743 0.744 0.746 0.751 0.757 0.767 0.778 0.790 0.803 0.816 0.829 0.842 0.866 0.888 1.400 1.399 1.398 1.395 1.392 1.387 1.382 1.376 1.370 1.364 1.358 1.353 1.343 1.335 Oxygen, O2 1.400 1.400 0.913 0.918 0.653 0.658 1.398 1.395 901 APPENDIX 1 TABLE A–2 Ideal2gas specific heats of various common gases (Concluded) (c) As a function of temperature _ cp 5 a 1 bT 1 cT 2 1 dT 3 (T in K, cp in kJ/kmol·K) Substance Formula Nitrogen Oxygen Air Hydrogen Carbon monoxide Carbon dioxide Water vapor Nitric oxide Nitrous oxide Nitrogen dioxide Ammonia Sulfur Sulfur dioxide N2 O2 — H2 28.90 25.48 28.11 29.11 20.1571 3 1.520 0.1967 20.1916 3 CO 28.16 CO2 H2O NO N2O 22.26 32.24 29.34 24.11 NO2 NH3 S2 22.9 27.568 27.21 SO2 25.78 a b c d 0.8081 20.7155 0.4802 0.4003 3 3 10 22 10 22 10 22 10 22 3 10 25 10 25 10 25 10 25 0.1675 3 10 22 0.5372 3 10 25 5.981 0.1923 20.09395 5.8632 3 5.715 2.5630 2.218 3 5.795 3 3 10 22 2 3 10 2 22 3 10 22 3 10 10 22 22 3 10 22 3 10 10 22 % error Temperature range, K Max. Avg. 3 3 3 10 29 10 29 10 29 10 29 273–1800 273–1800 273–1800 273–1800 0.59 1.19 0.72 1.01 0.34 0.28 0.33 0.26 22.222 3 10 29 273–1800 0.89 0.37 10 29 2 3 10 9 29 3 10 3 10 29 273–1800 273–1800 273–1500 273–1500 0.67 0.53 0.97 0.59 0.22 0.24 0.36 0.26 273–1500 273–1500 273–1800 0.46 0.91 0.99 0.18 0.36 0.38 273–1800 0.45 0.24 22.873 3 1.312 21.966 20.8704 3 3 10 25 1.055 3 10 25 0.9747 3 1025 23.562 3 10 25 7.469 23.595 24.187 10.58 3 10 25 0.99072 3 10 25 25 21.628 3 10 7.87 26.6909 3.986 3 3 10 29 10 29 10 29 10 25 8.612 3 10 29 23.501 3 23.52 3 23.812 3 3 902 PROPERTY TABLES AND CHARTS TABLE A–3 Properties of common liquids, solids, and foods (a) Liquids Boiling data at 1 atm Substance Ammonia Normal boiling point, 8C 233.3 Latent heat of vaporization hfg , kJ/kg 1357 Freezing data Freezing point, 8C 277.7 Latent heat of fusion hif , kJ/kg 322.4 Liquid properties Temperature, 8C 233.3 220 Argon Benzene Brine (20% sodium chloride by mass) n2Butane Carbon dioxide Ethanol Ethyl alcohol Ethylene glycol Glycerine Helium Hydrogen 2185.9 80.2 103.9 20.5 278.4* 78.2 78.6 198.1 179.9 2268.9 2252.8 161.6 394 — 385.2 230.5 (at 08C) 838.3 855 800.1 974 22.8 445.7 2189.3 5.5 217.4 2138.5 28 126 — 80.3 20.5 109 108 181.1 200.6 — 59.5 0 25 20 20 20 2268.9 2252.8 256.6 2114.2 2156 210.8 18.9 — 2259.2 0 25 2185.6 20 20 Density kg/m3 r, 682 665 639 602 1394 879 1150 601 298 783 789 1109 1261 146.2 70.7 Specific heat cp, kJ/kg·K 4.43 4.52 4.60 4.80 1.14 1.72 3.11 2.31 0.59 2.46 2.84 2.84 2.32 22.8 10.0 903 APPENDIX 1 TABLE A–3 Properties of common liquids, solids, and foods (Concluded ) (b) Solids (values are for room temperature unless indicated otherwise) Substance Density, r kg/m3 Specific heat, cp kJ/kg·K Metals Aluminum 200 K 250 K 300 K 350 K 400 K 450 K 500 K Bronze (76% Cu, 2% Zn, 2% Al) Brass, yellow (65% Cu, 35% Zn) Copper 21738C 21008C 2508C 08C 278C 1008C 2008C Substance Density, r kg/m3 Specific heat, cp kJ/kg·K Nonmetals 8,280 0.797 0.859 0.902 0.929 0.949 0.973 0.997 0.400 8,310 0.400 2,700 8,900 0.254 0.342 0.367 0.381 0.386 0.393 0.403 Asphalt Brick, common Brick, fireclay (5008C) Concrete Clay Diamond Glass, window Glass, pyrex Graphite Granite Gypsum or plaster board Ice 200 K 220 K 240 K 260 K 273 K Limestone Marble Plywood (Douglas Fir) 2110 1922 2300 2300 1000 2420 2700 2230 2500 2700 800 0.920 0.79 0.960 0.653 0.920 0.616 0.800 0.840 0.711 1.017 1.09 921 1650 2600 545 1.56 1.71 1.86 2.01 2.11 0.909 0.880 1.21 904 PROPERTY TABLES AND CHARTS TABLE A–4 Saturated water—Temperature table Specific volume, m3/kg Temp., T 8C Sat. press., Psat kPa Sat. liquid, Sat. vapor, vf 0.01 5 10 15 20 0.6117 0.8725 1.2281 1.7057 2.3392 25 30 35 40 45 3.1698 4.2469 5.6291 7.3851 9.5953 Internal energy, kJ/kg vg Sat. liquid, uf Evap., ufg Sat. vapor, ug 0.001000 0.001000 0.001000 0.001001 0.001002 206.00 147.03 106.32 77.885 57.762 0.000 21.019 42.020 62.980 83.913 2374.9 2360.8 2346.6 2332.5 2318.4 2374.9 2381.8 2388.7 2395.5 2402.3 0.001003 0.001004 0.001006 0.001008 0.001010 43.340 32.879 25.205 19.515 15.251 104.83 125.73 146.63 167.53 188.43 2304.3 2290.2 2276.0 2261.9 2247.7 2409.1 2415.9 2422.7 2429.4 2436.1 Enthalpy, kJ/kg Sat. liquid, hf Entropy, kJ/kg·K Evap., hfg Sat. vapor, hg Sat. liquid, sf Sat. Evap., vapor, sfg sg 2500.9 2489.1 2477.2 2465.4 2453.5 2500.9 2510.1 2519.2 2528.3 2537.4 0.0000 0.0763 0.1511 0.2245 0.2965 9.1556 8.9487 8.7488 8.5559 8.3696 9.1556 9.0249 8.8999 8.7803 8.6661 104.83 125.74 146.64 167.53 188.44 2441.7 2429.8 2417.9 2406.0 2394.0 2546.5 2555.6 2564.6 2573.5 2582.4 0.3672 0.4368 0.5051 0.5724 0.6386 8.1895 8.0152 7.8466 7.6832 7.5247 8.5567 8.4520 8.3517 8.2556 8.1633 8.0748 7.9898 7.9082 7.8296 7.7540 0.001 21.020 42.022 62.982 83.915 50 55 60 65 70 12.352 15.763 19.947 25.043 31.202 0.001012 0.001015 0.001017 0.001020 0.001023 12.026 9.5639 7.6670 6.1935 5.0396 209.33 230.24 251.16 272.09 293.04 2233.4 2219.1 2204.7 2190.3 2175.8 2442.7 2449.3 2455.9 2462.4 2468.9 209.34 230.26 251.18 272.12 293.07 2382.0 2369.8 2357.7 2345.4 2333.0 2591.3 2600.1 2608.8 2617.5 2626.1 0.7038 0.7680 0.8313 0.8937 0.9551 7.3710 7.2218 7.0769 6.9360 6.7989 75 80 85 38.597 47.416 57.868 0.001026 0.001029 0.001032 4.1291 3.4053 2.8261 313.99 334.97 355.96 2161.3 2146.6 2131.9 2475.3 2481.6 2487.8 314.03 335.02 356.02 2320.6 2308.0 2295.3 2634.6 2643.0 2651.4 1.0158 1.0756 1.1346 6.6655 7.6812 6.5355 7.6111 6.4089 7.5435 905 APPENDIX 1 TABLE A–4 Saturated water—Temperature table (Concluded ) Specific volume, m3/kg Temp., T 8C Sat. press., Psat kPa Sat. liquid, Sat. vapor, vf vg 205 210 215 220 225 1724.3 1907.7 2105.9 2319.6 2549.7 0.001164 0.001173 0.001181 0.001190 0.001199 230 235 240 245 250 2797.1 3062.6 3347.0 3651.2 3976.2 255 260 265 270 275 280 285 290 Internal energy, kJ/kg Sat. vapor, ug Enthalpy, kJ/kg Sat. liquid, uf Evap., ufg Sat. liquid, hf 0.11508 0.10429 0.094680 0.086094 0.078405 872.86 895.38 918.02 940.79 963.70 1723.5 1702.9 1681.9 1660.5 1638.6 2596.4 2598.3 2599.9 2601.3 2602.3 874.87 897.61 920.50 943.55 966.76 0.001209 0.001219 0.001229 0.001240 0.001252 0.071505 0.065300 0.059707 0.054656 0.050085 986.76 1010.0 1033.4 1056.9 1080.7 1616.1 1593.2 1569.8 1545.7 1521.1 2602.9 2603.2 2603.1 2602.7 2601.8 4322.9 4692.3 5085.3 5503.0 5946.4 0.001263 0.001276 0.001289 0.001303 0.001317 0.045941 0.042175 0.038748 0.035622 0.032767 1104.7 1128.8 1153.3 1177.9 1202.9 1495.8 1469.9 1443.2 1415.7 1387.4 6416.6 6914.6 7441.8 0.001333 0.001349 0.001366 0.030153 0.027756 0.025554 1228.2 1253.7 1279.7 1358.2 1328.1 1296.9 Entropy, kJ/kg·K Sat. vapor, hg Sat. liquid, sf Sat. Evap., vapor, sfg sg 1920.0 1899.7 1878.8 1857.4 1835.4 2794.8 2797.3 2799.3 2801.0 2802.2 2.3776 2.4245 2.4712 2.5176 2.5639 4.0154 3.9318 3.8489 3.7664 3.6844 6.3930 6.3563 6.3200 6.2840 6.2483 990.14 1013.7 1037.5 1061.5 1085.7 1812.8 1789.5 1765.5 1740.8 1715.3 2802.9 2803.2 2803.0 2802.2 2801.0 2.6100 2.6560 2.7018 2.7476 2.7933 3.6028 3.5216 3.4405 3.3596 3.2788 6.2128 6.1775 6.1424 6.1072 6.0721 2600.5 2598.7 2596.5 2593.7 2590.3 1110.1 1134.8 1159.8 1185.1 1210.7 1689.0 1661.8 1633.7 1604.6 1574.5 2799.1 2796.6 2793.5 2789.7 2785.2 2.8390 2.8847 2.9304 2.9762 3.0221 3.1979 3.1169 3.0358 2.9542 2.8723 6.0369 6.0017 5.9662 5.9305 5.8944 2586.4 2581.8 2576.5 1236.7 1263.1 1289.8 1543.2 1510.7 1476.9 2779.9 2773.7 2766.7 3.0681 3.1144 3.1608 2.7898 5.8579 2.7066 5.8210 2.6225 5.7834 Evap., hfg 906 PROPERTY TABLES AND CHARTS TABLE A–5 Saturated water—Pressure table Specific volume, m3/kg Press., P kPa Sat. temp., Tsat 8C Sat. liquid, Sat. vapor, vf vg Internal energy, kJ/kg Sat. liquid, uf Evap., ufg Sat. vapor, ug Enthalpy, kJ/kg Sat. liquid, hf Evap., hfg Entropy, kJ/kg·K Sat. vapor, hg Sat. liquid, sf Evap., sfg Sat. vapor, sg 1.0 1.5 2.0 2.5 3.0 6.97 13.02 17.50 21.08 24.08 0.001000 129.19 0.001001 87.964 0.001001 66.990 0.001002 54.242 0.001003 45.654 29.302 54.686 73.431 88.422 100.98 2355.2 2338.1 2325.5 2315.4 2306.9 2384.5 2392.8 2398.9 2403.8 2407.9 29.303 54.688 73.433 88.424 100.98 2484.4 2470.1 2459.5 2451.0 2443.9 2513.7 2524.7 2532.9 2539.4 2544.8 0.1059 0.1956 0.2606 0.3118 0.3543 8.8690 8.6314 8.4621 8.3302 8.2222 8.9749 8.8270 8.7227 8.6421 8.5765 4.0 5.0 7.5 10 15 28.96 32.87 40.29 45.81 53.97 0.001004 0.001005 0.001008 0.001010 0.001014 121.39 137.75 168.74 191.79 225.93 2293.1 2282.1 2261.1 2245.4 2222.1 2414.5 2419.8 2429.8 2437.2 2448.0 121.39 137.75 168.75 191.81 225.94 2432.3 2423.0 2405.3 2392.1 2372.3 2553.7 2560.7 2574.0 2583.9 2598.3 0.4224 0.4762 0.5763 0.6492 0.7549 8.0510 7.9176 7.6738 7.4996 7.2522 8.4734 8.3938 8.2501 8.1488 8.0071 20 25 30 40 50 60.06 64.96 69.09 75.86 81.32 0.001017 0.001020 0.001022 0.001026 0.001030 7.6481 6.2034 5.2287 3.9933 3.2403 251.40 271.93 289.24 317.58 340.49 2204.6 2190.4 2178.5 2158.8 2142.7 2456.0 2462.4 2467.7 2476.3 2483.2 251.42 271.96 289.27 317.62 340.54 2357.5 2345.5 2335.3 2318.4 2304.7 2608.9 2617.5 2624.6 2636.1 2645.2 0.8320 0.8932 0.9441 1.0261 1.0912 7.0752 6.9370 6.8234 6.6430 6.5019 7.9073 7.8302 7.7675 7.6691 7.5931 75 100 91.76 99.61 0.001037 0.001043 2.2172 1.6941 384.36 417.40 2111.8 2088.2 2496.1 2505.6 384.44 417.51 2278.0 2257.5 2662.4 1.2132 6.2426 7.4558 2675.0 1.3028 6.0562 7.3589 34.791 28.185 19.233 14.670 10.020 907 APPENDIX 1 TABLE A–5 Saturated water—Pressure table (Concluded ) Specific volume, m3/kg Sat. temp., Tsat 8C Sat. liquid, Sat. vapor, vf vg 800 850 900 950 1000 170.41 172.94 175.35 177.66 179.88 0.001115 0.001118 0.001121 0.001124 0.001127 1100 1200 1300 1400 1500 184.06 187.96 191.60 195.04 198.29 1750 2000 2250 2500 3000 3500 4000 Press., P kPa Internal energy, kJ/kg Enthalpy, kJ/kg Entropy, kJ/kg·K Sat. liquid, uf Evap., ufg Sat. vapor, ug Sat. liquid, hf 0.24035 0.22690 0.21489 0.20411 0.19436 719.97 731.00 741.55 751.67 761.39 1856.1 1846.9 1838.1 1829.6 1821.4 2576.0 2577.9 2579.6 2581.3 2582.8 720.87 731.95 742.56 752.74 762.51 2047.5 2038.8 2030.5 2022.4 2014.6 2768.3 2770.8 2773.0 2775.2 2777.1 2.0457 2.0705 2.0941 2.1166 2.1381 4.6160 4.5705 4.5273 4.4862 4.4470 6.6616 6.6409 6.6213 6.6027 6.5850 0.001133 0.001138 0.001144 0.001149 0.001154 0.17745 0.16326 0.15119 0.14078 0.13171 779.78 796.96 813.10 828.35 842.82 1805.7 1790.9 1776.8 1763.4 1750.6 2585.5 2587.8 2589.9 2591.8 2593.4 781.03 798.33 814.59 829.96 844.55 1999.6 1985.4 1971.9 1958.9 1946.4 2780.7 2783.8 2786.5 2788.9 2791.0 2.1785 2.2159 2.2508 2.2835 2.3143 4.3735 4.3058 4.2428 4.1840 4.1287 6.5520 6.5217 6.4936 6.4675 6.4430 205.72 212.38 218.41 223.95 233.85 0.001166 0.001177 0.001187 0.001197 0.001217 0.11344 876.12 0.099587 906.12 0.088717 933.54 0.079952 958.87 0.066667 1004.6 1720.6 1693.0 1667.3 1643.2 1598.5 2596.7 878.16 2599.1 908.47 2600.9 936.21 2602.1 961.87 2603.2 1008.3 1917.1 1889.8 1864.3 1840.1 1794.9 2795.2 2798.3 2800.5 2801.9 2803.2 2.3844 2.4467 2.5029 2.5542 2.6454 4.0033 3.8923 3.7926 3.7016 3.5402 6.3877 6.3390 6.2954 6.2558 6.1856 242.56 250.35 0.001235 0.001252 0.057061 1045.4 0.049779 1082.4 1557.6 1519.3 2603.0 1049.7 2601.7 1087.4 1753.0 1713.5 2802.7 2.7253 3.3991 6.1244 2800.8 2.7966 3.2731 6.0696 Evap., hfg Sat. vapor, hg Sat. liquid, sf Evap., sfg Sat. vapor, sg 908 PROPERTY TABLES AND CHARTS TABLE A–6 Superheated water T 8C u kJ/kg v 3 m /kg P † Sat. 50 100 150 200 250 300 400 500 600 700 800 900 1000 1100 1200 1300 14.670 14.867 17.196 19.513 21.826 24.136 26.446 31.063 35.680 40.296 44.911 49.527 54.143 58.758 63.373 67.989 72.604 P Sat. 150 5 s kJ/kg·K 0.01 MPa (45.818C)* 2437.2 2443.3 2515.5 2587.9 2661.4 2736.1 2812.3 2969.3 3132.9 3303.3 3480.8 3665.4 3856.9 4055.3 4260.0 4470.9 4687.4 5 h kJ/kg 2583.9 2592.0 2687.5 2783.0 2879.6 2977.5 3076.7 3280.0 3489.7 3706.3 3929.9 4160.6 4398.3 4642.8 4893.8 5150.8 5413.4 8.1488 8.1741 8.4489 8.6893 8.9049 9.1015 9.2827 9.6094 9.8998 10.1631 10.4056 10.6312 10.8429 11.0429 11.2326 11.4132 11.5857 0.20 MPa (120.218C) 0.88578 2529.1 2706.3 0.95986 2577.1 2769.1 7.1270 7.2810 u kJ/kg v 3 m /kg P 5 h kJ/kg s kJ/kg·K 0.05 MPa (81.328C) 2483.2 2645.2 7.5931 3.4187 3.8897 4.3562 4.8206 5.2841 6.2094 7.1338 8.0577 8.9813 9.9047 10.8280 11.7513 12.6745 13.5977 14.5209 2511 .5 2585.7 2660.0 2735.1 2811.6 2968.9 3132.6 3303.1 3480.6 3665.2 3856.8 4055.2 4259.9 4470.8 4687.3 2682.4 2780.2 2877.8 2976.2 3075.8 3279.3 3489.3 3706.0 3929.7 4160.4 4398.2 4642.7 4893.7 5150.7 5413.3 7.6953 7.9413 8.1592 8.3568 8.5387 8.8659 9.1566 9.4201 9.6626 9.8883 10.1000 10.3000 10.4897 10.6704 10.8429 P 5 0.30 MPa (133.528C) 0.60582 2543.2 0.63402 2571.0 2724.9 2761.2 3 m /kg P 3.2403 6.9917 7.0792 u kJ/kg v 5 h kJ/kg s kJ/kg·K 0.10 MPa (99.618C) 1.6941 2505.6 2675.0 1.6959 1.9367 2.1724 2.4062 2.6389 3.1027 3.5655 4.0279 4.4900 4.9519 5.4137 5.8755 6.3372 6.7988 7.2605 2675.8 7.3611 2776.6 7.6148 2875.5 7.8356 2974.5 8.0346 3074.5 8.2172 3278.6 8.5452 3488.7 8.8362 3705.6 9.0999 3929.4 9.3424 4160.2 9.5682 4398.0 9.7800 4642.6 9.9800 4893.6 10.1698 5150.6 10.3504 5413.3 10.5229 P 5 2506.2 2582.9 2658.2 2733.9 2810.7 2968.3 3132.2 3302.8 3480.4 3665.0 3856.7 4055.0 4259.8 4470.7 4687.2 7.3589 0.40 MPa (143.618C) 0.46242 2553.1 0.47088 2564.4 2738.1 2752.8 6.8955 6.9306 909 APPENDIX 1 TABLE A–6 Superheated water (Concluded ) T 8C 3 m /kg P Sat. 200 250 300 350 400 500 600 700 800 900 1000 1100 1200 1300 5 0.19437 0.20602 0.23275 0.25799 0.28250 0.30661 0.35411 0.40111 0.44783 0.49438 0.54083 0.58721 0.63354 0.67983 0.72610 P Sat. 225 250 300 u kJ/kg v 5 0.12374 0.13293 0.14190 0.15866 h kJ/kg s kJ/kg?K 1.00 MPa (179.888C) 2582.8 2622.3 2710.4 2793.7 2875.7 2957.9 3125.0 3297.5 3476.3 3661.7 3853.9 4052.7 4257.9 4469.0 4685.8 2777.1 2828.3 2943.1 3051.6 3158.2 3264.5 3479.1 3698.6 3924.1 4156.1 4394.8 4640.0 4891.4 5148.9 5411.9 6.5850 6.6956 6.9265 7.1246 7.3029 7.4670 7.7642 8.0311 8.2755 8.5024 8.7150 8.9155 9.1057 9.2866 9.4593 1.60 MPa (201.378C) 2594.8 2645.1 2692.9 2781.6 2792.8 2857.8 2919.9 3035.4 6.4200 6.5537 6.6753 6.8864 u kJ/kg v 3 m /kg P 5 0.16326 0.16934 0.19241 0.21386 0.23455 0.25482 0.29464 0.33395 0.37297 0.41184 0.45059 0.48928 0.52792 0.56652 0.60509 P 5 0.11037 0.11678 0.12502 0.14025 h kJ/kg s kJ/kg·K 1.20 MPa (187.968C) 2587.8 2612.9 2704.7 2789.7 2872.7 2955.5 3123.4 3296.3 3475.3 3661.0 3853.3 4052.2 4257.5 4468.7 4685.5 2783.8 2816.1 2935.6 3046.3 3154.2 3261.3 3477.0 3697.0 3922.9 4155.2 4394.0 4639.4 4891.0 5148.5 5411.6 6.5217 6.5909 6.8313 7.0335 7.2139 7.3793 7.6779 7.9456 8.1904 8.4176 8.6303 8.8310 9.0212 9.2022 9.3750 1.80 MPa (207.118C) 2597.3 2637.0 2686.7 2777.4 2795.9 2847.2 2911.7 3029.9 6.3775 6.4825 6.6088 6.8246 u kJ/kg v 3 m /kg P 5 0.14078 0.14303 0.16356 0.18233 0.20029 0.21782 0.25216 0.28597 0.31951 0.35288 0.38614 0.41933 0.45247 0.48558 0.51866 P 5 0.09959 0.10381 0.11150 0.12551 h kJ/kg s kJ/kg·K 1.40 MPa (195.048C) 2591.8 2602.7 2698.9 2785.7 2869.7 2953.1 3121.8 3295.1 3474.4 3660.3 3852.7 4051.7 4257.0 4468.3 4685.1 2788.9 2803.0 2927.9 3040.9 3150.1 3258.1 3474.8 3695.5 3921.7 4154.3 4393.3 4638.8 4890.5 5148.1 5411.3 6.4675 6.4975 6.7488 6.9553 7.1379 7.3046 7.6047 7.8730 8.1183 8.3458 8.5587 8.7595 8.9497 9.1308 9.3036 2.00 MPa (212.388C) 2599.1 2628.5 2680.3 2773.2 2798.3 2836.1 2903.3 3024.2 6.3390 6.4160 6.5475 6.7684 910 PROPERTY TABLES AND CHARTS TABLE A–6 Superheated water (Continued) T 8C u kJ/kg v 3 m /kg P Sat. 275 300 350 400 450 500 600 700 800 900 1000 1100 1200 1300 0.04978 0.05461 0.05887 0.06647 0.07343 0.08004 0.08644 0.09886 0.11098 0.12292 0.13476 0.14653 0.15824 0.16992 0.18157 P Sat. 300 350 400 5 0.03245 0.03619 0.04225 0.04742 s kJ/kg·K 4.0 MPa (250.358C) 2601.7 2668.9 2726.2 2827.4 2920.8 3011.0 3100.3 3279.4 3462.4 3650.6 3844.8 4045.1 4251.4 4463.5 4680.9 5 h kJ/kg 2800.8 2887.3 2961.7 3093.3 3214.5 3331.2 3446.0 3674.9 3906.3 4142.3 4383.9 4631.2 4884.4 5143.2 5407.2 6.0696 6.2312 6.3639 6.5843 6.7714 6.9386 7.0922 7.3706 7.6214 7.8523 8.0675 8.2698 8.4612 8.6430 8.8164 6.0 MPa (275.598C) 2589.9 2668.4 2790.4 2893.7 2784.6 2885.6 3043.9 3178.3 5.8902 6.0703 6.3357 6.5432 u kJ/kg v 3 m /kg P 5 0.04406 0.04733 0.05138 0.05842 0.06477 0.07076 0.07652 0.08766 0.09850 0.10916 0.11972 0.13020 0.14064 0.15103 0.16140 P 0.027378 0.029492 0.035262 0.039958 s kJ/kg·K 4.5 MPa (257.448C) 2599.7 2651.4 2713.0 2818.6 2914.2 3005.8 3096.0 3276.4 3460.0 3648.8 3843.3 4043.9 4250.4 4462.6 4680.1 5 h kJ/kg 2798.0 2864.4 2944.2 3081.5 3205.7 3324.2 3440.4 3670.9 3903.3 4140.0 4382.1 4629.8 4883.2 5142.2 5406.5 2772.6 2839.9 3016.9 3159.2 3 m /kg P 6.0198 6.1429 6.2854 6.5153 6.7071 6.8770 7.0323 7.3127 7.5647 7.7962 8.0118 8.2144 8.4060 8.5880 8.7616 7.0 MPa (285.838C) 2581.0 2633.5 2770.1 2879.5 u kJ/kg v 0.03945 0.04144 0.04535 0.05197 0.05784 0.06332 0.06858 0.07870 0.08852 0.09816 0.10769 0.11715 0.12655 0.13592 0.14527 P 5.8148 5.9337 6.2305 6.4502 5 5 0.023525 0.024279 0.029975 0.034344 h kJ/kg s kJ/kg·K 5.0 MPa (263.948C) 2597.0 2632.3 2699.0 2809.5 2907.5 3000.6 3091.8 3273.3 3457.7 3646.9 3841.8 4042.6 4249.3 4461.6 4679.3 2794.2 2839.5 2925.7 3069.3 3196.7 3317.2 3434.7 3666.9 3900.3 4137.7 4380.2 4628.3 4882.1 5141.3 5405.7 5.9737 6.0571 6.2111 6.4516 6.6483 6.8210 6.9781 7.2605 7.5136 7.7458 7.9619 8.1648 8.3566 8.5388 8.7124 8.0 MPa (295.018C) 2570.5 2592.3 2748.3 2864.6 2758.7 2786.5 2988.1 3139.4 5.7450 5.7937 6.1321 6.3658 911 APPENDIX 1 TABLE A–6 Superheated water (Concluded ) T 8C u kJ/kg v 3 m /kg P Sat. 350 400 450 500 550 600 650 700 800 900 1000 1100 1200 1300 5 0.010341 0.011481 0.015671 0.018477 0.020828 0.022945 0.024921 0.026804 0.028621 0.032121 0.035503 0.038808 0.042062 0.045279 0.048469 0.001978 0.006005 0.007886 0.009176 s kJ/kg·K 15.0 MPa (342.168C) 2455.7 2520.9 2740.6 2880.8 2998.4 3106.2 3209.3 3310.1 3409.8 3609.3 3811.2 4017.1 4227.7 4443.1 4663.3 P 375 400 425 450 h kJ/kg 5 2610.8 2693.1 2975.7 3157.9 3310.8 3450.4 3583.1 3712.1 3839.1 4091.1 4343.7 4599.2 4858.6 5122.3 5390.3 5.3108 5.4438 5.8819 6.1434 6.3480 6.5230 6.6796 6.8233 6.9573 7.2037 7.4288 7.6378 7.8339 8.0192 8.1952 u kJ/kg v 3 m /kg P 5 1849.4 2578.7 2805.0 2950.6 u kJ/kg v 3 m /kg P 5 h kJ/kg s kJ/kg·K 20.0 MPa (365.758C) 0.007932 2390.7 2529.5 5.1435 0.005862 2294.8 2412.1 4.9310 0.012463 0.015204 0.017385 0.019305 0.021073 0.022742 0.024342 0.027405 0.030348 0.033215 0.036029 0.038806 0.041556 2684.3 2845.4 2972.4 3085.8 3192.5 3295.8 3397.5 3599.7 3803.5 4010.7 4222.3 4438.5 4659.2 0.009950 0.012721 0.014793 0.016571 0.018185 0.019695 0.021134 0.023870 0.026484 0.029020 0.031504 0.033952 0.036371 5.5526 5.9043 6.1446 6.3390 6.5075 6.6593 6.7991 7.0531 7.2829 7.4950 7.6933 7.8802 8.0574 P 4.0345 5.1400 5.4708 5.6759 s kJ/kg·K 17.5 MPa (354.678C) 25.0 MPa 1799.9 2428.5 2607.8 2721.2 h kJ/kg 0.001792 0.002798 0.005299 0.006737 5 2902.4 3111.4 3276.7 3423.6 3561.3 3693.8 3823.5 4079.3 4334.6 4592.0 4852.8 5117.6 5386.5 5.7211 6.0212 6.2424 6.4266 6.5890 6.7366 6.8735 7.1237 7.3511 7.5616 7.7588 7.9449 8.1215 30.0 MPa 1738.1 2068.9 2452.9 2618.9 1791.9 2152.8 2611.8 2821.0 2617.9 2807.3 2945.3 3064.7 3175.3 3281.4 3385.1 3590.1 3795.7 4004.3 4216.9 4433.8 4655.2 P 3.9313 4.4758 5.1473 5.4422 0.001701 0.002105 0.003434 0.004957 5 2816.9 3061.7 3241.2 3396.2 3539.0 3675.3 3807.8 4067.5 4325.4 4584.7 4847.0 5112.9 5382.7 35.0 MPa 1702.8 1914.9 2253.3 2497.5 1762.4 1988.6 2373.5 2671.0 3.8724 4.2144 4.7751 5.1946 912 PROPERTY TABLES AND CHARTS TABLE A–7 Compressed liquid water T 8C u kJ/kg v 3 m /kg P Sat. 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 5 h kJ/kg s kJ/kg·K 5 MPa (263.948C) 0.0012862 1148.1 1154.5 0.0009977 0.04 5.03 0.0009996 83.61 88.61 0.0010057 166.92 171.95 0.0010149 250.29 255.36 0.0010267 333.82 338.96 0.0010410 417.65 422.85 0.0010576 501.91 507.19 0.0010769 586.80 592.18 0.0010988 672.55 678.04 0.0011240 759.47 765.09 0.0011531 847.92 853.68 0.0011868 938.39 944.32 0.0012268 1031.6 1037.7 0.0012755 1128.5 1134.9 P 5 20 MPa (365.758C) u kJ/kg v 3 m /kg P 2.9207 0.0001 0.2954 0.5705 0.8287 1.0723 1.3034 1.5236 1.7344 1.9374 2.1338 2.3251 2.5127 2.6983 2.8841 5 0.0014522 0.0009952 0.0009973 0.0010035 0.0010127 0.0010244 0.0010385 0.0010549 0.0010738 0.0010954 0.0011200 0.0011482 0.0011809 0.0012192 0.0012653 0.0013226 0.0013980 h kJ/kg s kJ/kg·K 10 MPa (311.008C) 1393.3 0.12 83.31 166.33 249.43 332.69 416.23 500.18 584.72 670.06 756.48 844.32 934.01 1026.2 1121.6 1221.8 1329.4 P 5 1407.9 10.07 93.28 176.37 259.55 342.94 426.62 510.73 595.45 681.01 767.68 855.80 945.82 1038.3 1134.3 1235.0 1343.3 30 MPa u kJ/kg v 3 m /kg P 3.3603 0.0003 0.2943 0.5685 0.8260 1.0691 1.2996 1.5191 1.7293 1.9316 2.1271 2.3174 2.5037 2.6876 2.8710 3.0565 3.2488 5 0.0016572 0.0009928 0.0009951 0.0010013 0.0010105 0.0010221 0.0010361 0.0010522 0.0010708 0.0010920 0.0011160 0.0011435 0.0011752 0.0012121 0.0012560 0.0013096 0.0013783 0.0014733 0.0016311 h kJ/kg s kJ/kg·K 15 MPa (342.168C) 1585.5 0.18 83.01 165.75 248.58 331.59 414.85 498.50 582.69 667.63 753.58 840.84 929.81 1021.0 1115.1 1213.4 1317.6 1431.9 1567.9 P 5 1610.3 15.07 97.93 180.77 263.74 346.92 430.39 514.28 598.75 684.01 770.32 858.00 947.43 1039.2 1134.0 1233.0 1338.3 1454.0 1592.4 50 MPa 3.6848 0.0004 0.2932 0.5666 0.8234 1.0659 1.2958 1.5148 1.7243 1.9259 2.1206 2.3100 2.4951 2.6774 2.8586 3.0410 3.2279 3.4263 3.6555 913 APPENDIX 1 TABLE A–8 Saturated ice–water vapor Specific volume, m3/kg Temp., T 8C Sat. press., Psat kPa Sat. ice, Sat. vapor, vi vg 0.01 0 22 24 26 28 210 212 214 216 218 220 222 224 226 228 230 232 34 0.61169 0.61115 0.51772 0.43748 0.36873 0.30998 0.25990 0.21732 0.18121 0.15068 0.12492 0.10326 0.08510 0.06991 0.05725 0.04673 0.03802 0.03082 0.02490 0.001091 0.001091 0.001091 0.001090 0.001090 0.001090 0.001089 0.001089 0.001088 0.001088 0.001088 0.001087 0.001087 0.001087 0.001087 0.001086 0.001086 0.001086 0.001085 205.99 206.17 241.62 283.84 334.27 394.66 467.17 554.47 659.88 787.51 942.51 1131.3 1362.0 1644.7 1992.2 2421.0 2951.7 3610.9 4432.4 Internal energy, kJ/kg Sat. ice, ui 2333.40 2333.43 2337.63 2341.80 2345.94 2350.04 2354.12 2358.17 2362.18 2366.17 2370.13 2374.06 2377.95 2381.82 2385.66 2389.47 2393.25 2397.00 400.72 Enthalpy, kJ/kg Subl., uig Sat. vapor, ug Sat. ice, hi 2707.9 2707.9 2709.4 2710.8 2712.2 2713.5 2714.8 2716.1 2717.3 2718.6 2719.7 2720.9 2722.0 2723.1 2724.2 2725.2 2726.2 2727.2 2728.1 2374.5 2374.5 2371.8 2369.0 2366.2 2363.5 2360.7 2357.9 2355.2 2352.4 2349.6 2346.8 2344.1 2341.3 2338.5 2335.7 2332.9 2330.2 2327.4 2333.40 2333.43 2337.63 2341.80 2345.93 2350.04 2354.12 2358.17 2362.18 2366.17 2370.13 2374.06 2377.95 2381.82 2385.66 2389.47 2393.25 2397.00 400.72 Entropy, kJ/kg·K Subl., hig Sat. vapor, hg Sat. ice, si 2833.9 2833.9 2834.5 2835.0 2835.4 2835.8 2836.2 2836.6 2836.9 2837.2 2837.5 2837.7 2837.9 2838.1 2838.2 2838.3 2838.4 2838.4 2838.5 2500.5 2500.5 2496.8 2493.2 2489.5 2485.8 2482.1 2478.4 2474.7 2471.0 2467.3 2463.6 2459.9 2456.2 2452.5 2448.8 2445.1 2441.4 2437.7 21.2202 21.2204 21.2358 21.2513 21.2667 21.2821 21.2976 21.3130 21.3284 21.3439 21.3593 21.3748 21.3903 21.4057 21.4212 21.4367 21.4521 21.4676 1.4831 Subl., sig Sat. vapor, sg 10.374 10.375 10.453 10.533 10.613 10.695 10.778 10.862 10.947 11.033 11.121 11.209 11.300 11.391 11.484 11.578 11.673 11.770 11.869 9.154 9.154 9.218 9.282 9.347 9.413 9.480 9.549 9.618 9.689 9.761 9.835 9.909 9.985 10.063 10.141 10.221 10.303 10.386 0 1200 1 2 3 4 5 6 5 0 5 0 5 00 7 8 9 0 10 1200 h = 5000 kJ/kg 5000 4500 1100 4900 1100 4800 h = 4200 kJ 1000 3 900 en D 800 P = 3 0 0 700 a b ty si = 3800 0 2 2800 h 0 1 0 k J/kg 00 10 200 100 ty ali Qu h 6 = 4 2 0 0 0 0 0 % 1 liq 1 0 0 % 20 2 0 0 30 1 0 4 0 1 0 % 4 % 0 0 1 J 6 1 0 0 5 0 0 0 k 0 0 0 = 18 ted ra tu Sa Sa t d ui % 8 00 20 00 6 4000 3 g k 3800 3 g k /m ur at ed k g 3600 /m 0 % 00 24 70 % 00 3 4 5 Entropy, kJ/kg·K 6 /m 8 6 =2 k g 60 0k 3 /m 3300 3 .1 0 g k /m 3 3200 0.0 k /m g 3000 4 3 400 3 3100 2 1.5 1.0 2900 5 .8 .6 .4 3 2 1 1 0 0 0 0 . 0. 0. 0 . ty si en D = .0 0 1 g k g 0 80 % 8 /m 300 200 2800 5 8 8 6 4 3 2 1 00 .0 0.0 .0 . 0 0.0 0.0 0. 0 0 2650 h = 2600 kJ/kg 6 00 04 0. 0.0 003 02 2550 . 0 0 0. J/ k 7 500 3400 3 20 5 1 10 g 2 k g .3 0 r h 22 3500 3 1 va po 600 3700 3 3 40 0 3 700 3900 /m / k 800 4100 0 1 0 10 80 0 6 00 00 /m 0 15 0 160 12 g 0 3 0 14 0 k 0 0 180 300 4300 0 60 0 50 0 40 0 35 0 30 0 25 0 20 220 900 4400 /m 0 80 2000 400 0 g 3 10 2400 = 0 3 k 4200 00 15 2600 500 3 3600 3400 0 0 0 0 0 0 0 0 0 0 0 0 0 6 3200 2 15 0 0 0 0 0 0 0 1 8 0 0 0 5 40 00 0 3 0 0 0 1000 4600 4500 r 0 300 C ° , re u t 600 ra e p m e T k 4700 /kg 4000 /m g 9 FIGURE A–9 T-s diagram for water. Source of Data: From NBS/NRC Steam Tables/1 by Lester Haar, John S. Gallagher, and George S. Kell. Routledge/Taylor & Francis Books, Inc., 1984 . 100 0 10 P R O P E R T Y T A B L 9 E 1 4 S A N D C H A R T S S o u rc e o f D a ta : F ro m N B S /N R C S te a m T a b le s/ 1 b y L es t re H a a r, Jo h n S . G a ll a g h re, a n d G eo rg e S . K el l. R o u tl ed g e/ T a yl o r & F ra n ci s B o o ks , In c. , 1 9 8 4 . M o ll ie r d ia g ra m fo r w a t re . F I G U R E A 1 0 2 1 0 0 0 Enthalpy, kJ/kg 3 0 0 0 2 0 0 0 4 0 0 0 T C° 003 = P C° 004 3 =3 00 00 5 0 0 0 2 ba r 3 25 00 0 200 00 C° 005 % 04 4 C° 006 % 24 % 44 %64 %84 E n rto p y , 6 k J/ k g ·K %45 %65 5 %8 6 %0 6 %2 6 %4 6 %6 86 % 07 % 30 20 0 15 0 80 0 1 0 60 0 40 50 30 20 27 % 47 % 67 % 87 % 08 % 7 28 % 48 % 68 % Q au il yt 8 8 = % 9 0 % 29 % 9 4 % 8 6 4 9 6 % 9 8 % 0 0. .8 6 0. 4 8 0 1 0 1 0 0 0 Densi .0 2 0 P 2 0 0 0 .0 ty = 1 0 00 k g/m 3 C° 008 C° 009 1 C° 001 100 kg/m 3 6 T = 15 10 10 k g/m 3 1k g/m 3 8 0. 0 0. 5 03 0.1 kg/ 3 m 9 15 = 0. 0 0. 1 0 08 ba r 1 1 0 0 °C 7 5 3 2 1.5 1.0 5 1 C° 000 0. 0. 3 0. 2 1 0. 5 1 0 0 .0 8 .0 0 6 .0 4 9 4 C° 007 100 00 800 0 600 500 0 400 0 0 300 0 200 150 0 800 10 0 00 60 4000 5 00 %05 %25 5 150 00 De nsi ty =0 .01 kg 3 0 0 0 /m 3 4 0 0 0 1 5 0 0 0 0 A P P E 9 N 1 D 5 I X 1 916 PROPERTY TABLES AND CHARTS TABLE A–11 Saturated refrigerant-134a—Temperature table Specific volume, m3/kg Sat. Temp., press., T 8C Psat kPa Sat. liquid, Sat. vapor, vf vg 240 0.0007053 0.0007082 0.0007111 0.0007141 0.0007171 0.0007201 0.0007232 0.0007264 0.0007296 0.0007328 0.0007361 0.0007394 0.0007428 0.0007463 0.0007498 0.0007533 0.0007570 0.0007607 0 0007644 0.36064 0.32718 0.29740 0.27082 0.24706 0.22577 0.20666 0.18947 0.17398 0.15999 0.14735 0.13589 0.12550 0.11605 0.10744 0.099600 0.092438 0.085888 0 079889 238 236 234 232 230 228 226 224 222 220 218 216 214 212 210 28 26 24 51.25 56.86 62.95 69.56 76.71 84.43 92.76 101.73 111.37 121.72 132.82 144.69 157.38 170.93 185.37 200.74 217.08 234.44 252 85 Internal energy, kJ/kg Sat. liquid, uf 20.036 2.472 4.987 7.509 10.04 12.58 15.12 17.67 20.23 22.80 25.37 27.96 30.55 33.15 35.76 38.38 41.01 43.64 46 29 Evap., ufg Sat. vapor, ug 207.42 207.38 206.06 208.53 204.69 209.68 203.32 210.83 201.94 211.97 200.55 213.12 199.15 214.27 197.75 215.42 196.34 216.57 194.92 217.71 193.49 218.86 192.05 220.00 190.60 221.15 189.14 222.29 187.66 223.42 186.18 224.56 184.69 225.69 183.18 226.82 181 66 227 94 Enthalpy, kJ/kg Sat. liquid, hf 0.00 2.512 5.032 7.559 10.09 12.64 15.19 17.75 20.31 22.89 25.47 28.07 30.67 33.28 35.90 38.53 41.17 43.82 46 48 Evap., hfg 225.86 224.62 223.37 222.10 220.83 219.55 218.25 216.95 215.63 214.30 212.96 211.60 210.23 208.84 207.44 206.02 204.59 203.14 201 66 Entropy, kJ/kg∙K Sat. vapor, hg Sat. liquid, sf Evap., sfg Sat. vapor, sg 225.86 227.13 228.40 229.66 230.93 232.19 233.44 234.70 235.94 237.19 238.43 239.67 240.90 242.12 243.34 244.55 245.76 246.95 248 14 0.00000 0.01071 0.02137 0.03196 0.04249 0.05297 0.06339 0.07376 0.08408 0.09435 0.10456 0.11473 0.12486 0.13493 0.14497 0.15496 0.16491 0.17482 0 18469 0.96869 0.95516 0.94182 0.92867 0.91569 0.90289 0.89024 0.87776 0.86542 0.85323 0.84119 0.82927 0.81749 0.80583 0.79429 0.78286 0.77154 0.76033 0 74921 0.96869 0.96588 0.96319 0.96063 0.95819 0.95586 0.95364 0.95152 0.94950 0.94758 0.94575 0.94401 0.94234 0.94076 0.93925 0.93782 0.93645 0.93514 0 93390 917 APPENDIX 1 TABLE A–11 Saturated refrigerant-134a—Temperature table (Concluded) Specific volume, m3/kg Sat. Temp., press., T 8C Psat kPa Sat. liquid, Sat. vapor, vf vg 46 48 52 56 60 65 70 75 80 85 90 95 100 0.0008924 0.0008997 0.0009151 0.0009317 0.0009498 0.0009751 0.0010037 0.0010373 0.0010774 0.0011273 0.0011938 0.0012945 0.0015269 0.016866 0.015951 0.014276 0.012782 0.011434 0.009959 0.008650 0.007486 0.006439 0.005484 0.004591 0.003713 0.002657 1191.0 1253.6 1386.2 1529.1 1682.8 1891.0 2118.2 2365.8 2635.3 2928.2 3246.9 3594.1 3975.1 Internal energy, kJ/kg Sat. liquid, uf 116.28 119.28 125.35 131.52 137.79 145.80 154.03 162.55 171.43 180.81 190.94 202.49 218.73 Evap., ufg 137.43 135.30 130.89 126.29 121.45 115.06 108.17 100.62 92.22 82.64 71.19 56.25 29.72 Enthalpy, kJ/kg Sat. vapor, ug Sat. liquid, hf 253.71 254.58 256.24 257.81 259.23 260.86 262.20 263.17 263.66 263.45 262.13 258.73 248.46 117.34 120.41 126.62 132.94 139.38 147.64 156.15 165.01 174.27 184.11 194.82 207.14 224.80 Evap., hfg 156.46 154.17 149.41 144.41 139.09 132.05 124.37 115.87 106.35 95.39 82.22 64.94 34.22 Entropy, kJ/kg∙K Sat. vapor, hg 273.80 274.57 276.03 277.35 278.47 279.69 280.52 280.88 280.63 279.51 277.04 272.08 259.02 Sat. liquid, sf 0.42311 0.43251 0.45136 0.47028 0.48930 0.51330 0.53763 0.56252 0.58812 0.61487 0.64354 0.67605 0.72224 Evap., sfg Sat. vapor, sg 0.49020 0.48001 0.45948 0.43870 0.41746 0.39048 0.36239 0.33279 0.30113 0.26632 0.22638 0.17638 0.09169 0.91331 0.91252 0.91084 0.90898 0.90676 0.90379 0.90002 0.89531 0.88925 0.88120 0.86991 0.85243 0.81393 Source of Data: Tables A211 through A213 are generated using the Engineering Equation Solver (EES) software developed by S. A. Klein and F. L. Alvarado. The routine used in calculations is the R134a, which is based on the fundamental equation of state developed by R. Tillner2Roth and H.D. Baehr, “An International Standard Formulation for the Thermodynamic Properties of 1,1,1,2-Tetrafluoroethane (HFC-134a) for temperatures from 170 K to 455 K and pressures up to 70 MPa,” J. Phys. Chem, Ref. Data, Vol. 23, No. 5, 1994. The enthalpy and entropy values of saturated liquid are set to zero at 2408C (and 2408F). 918 PROPERTY TABLES AND CHARTS TABLE A–12 Saturated refrigerant-134a—Pressure table Specific volume, m3/kg Press., Sat. P temp., Tsat 8C kPa 60 70 80 90 100 120 140 160 180 200 240 280 320 360 400 450 500 550 600 236.95 233.87 231.13 228.65 226.37 222.32 218.77 215.60 212.73 210.09 25.38 21.25 2.46 5.82 8.91 12.46 15.71 18.73 21 55 Sat. liquid, Sat. vapor, vf vg 0.0007097 0.0007143 0.0007184 0.0007222 0.0007258 0.0007323 0.0007381 0.0007435 0.0007485 0.0007532 0.0007618 0.0007697 0.0007771 0.0007840 0.0007905 0.0007983 0.0008058 0.0008129 0 0008198 0.31108 0.26921 0.23749 0.21261 0.19255 0.16216 0.14020 0.12355 0.11049 0.099951 0.083983 0.072434 0.063681 0.056809 0.051266 0.045677 0.041168 0.037452 0 034335 Internal energy, kJ/kg Sat. liquid, uf 3.795 7.672 11.14 14.30 17.19 22.38 26.96 31.06 34.81 38.26 44.46 49.95 54.90 59.42 63.61 68.44 72.92 77.09 81 01 Evap., ufg Sat. vapor, ug 205.34 203.23 201.33 199.60 198.01 195.15 192.60 190.31 188.20 186.25 182.71 179.54 176.65 173.99 171.49 168.58 165.86 163.29 160 84 209.13 210.90 212.48 213.90 215.21 217.53 219.56 221.37 223.01 224.51 227.17 229.49 231.55 233.41 235.10 237.03 238.77 240.38 241 86 Enthalpy, kJ/kg Sat. liquid, hf 3.837 7.722 11.20 14.36 17.27 22.47 27.06 31.18 34.94 38.41 44.64 50.16 55.14 59.70 63.92 68.80 73.32 77.54 81 50 Evap., hfg 223.96 222.02 220.27 218.67 217.19 214.52 212.13 209.96 207.95 206.09 202.68 199.61 196.78 194.15 191.68 188.78 186.04 183.44 180 95 Entropy, kJ/kg∙K Sat. vapor, hg Sat. liquid, sf Evap., sfg Sat. vapor, sg 227.80 229.74 231.47 233.04 234.46 236.99 239.19 241.14 242.90 244.50 247.32 249.77 251.93 253.86 255.61 257.58 259.36 260.98 262 46 0.01633 0.03264 0.04707 0.06003 0.07182 0.09269 0.11080 0.12686 0.14131 0.15449 0.17786 0.19822 0.21631 0.23265 0.24757 0.26462 0.28021 0.29460 0 30799 0.94812 0.92783 0.91009 0.89431 0.88008 0.85520 0.83387 0.81517 0.79848 0.78339 0.75689 0.73406 0.71395 0.69591 0.67954 0.66093 0.64399 0.62842 0 61398 0.96445 0.96047 0.95716 0.95434 0.95191 0.94789 0.94467 0.94202 0.93979 0.93788 0.93475 0.93228 0.93026 0.92856 0.92711 0.92555 0.92420 0.92302 0 92196 919 APPENDIX 1 TABLE A–13 Superheated refrigerant-134a T 8C m3/kg P Sat. 220 210 0 10 20 30 40 50 60 70 80 90 100 5 h kJ/kg 0.06 MPa (Tsat 5 0.31108 0.33608 0.35048 0.36476 0.37893 0.39302 0.40705 0.42102 0.43495 0.44883 0.46269 0.47651 0.49032 0.50410 P Sat. 210 0 10 20 u kJ/kg v 5 209.13 220.62 227.57 234.67 241.94 249.37 256.97 264.73 272.66 280.75 289.01 297.43 306.02 314.76 0.11049 0.11189 0.11722 0.12240 0.12748 223.01 225.04 232.49 240.02 247.66 236.958C) 227.80 240.78 248.60 256.56 264.68 272.95 281.39 289.99 298.75 307.68 316.77 326.02 335.43 345.01 0.18 MPa (Tsat s kJ/kg·K 0.9645 1.0175 1.0478 1.0775 1.1067 1.1354 1.1637 1.1916 1.2192 1.2464 1.2732 1.2998 1.3261 1.3521 5 212.738C) 242.90 245.18 253.59 262.05 270.60 0.9398 0.9485 0.9799 1.0103 1.0400 m3/kg u kJ/kg P 0.10 MPa (Tsat v 5 0.19255 0.19841 0.20743 0.21630 0.22506 0.23373 0.24233 0.25088 0.25937 0.26783 0.27626 0.28465 0.29303 0.30138 P 5 215.21 219.68 226.77 233.97 241.32 248.81 256.46 264.27 272.24 280.36 288.65 297.10 305.71 314.48 h kJ/kg 0.09995 0.09991 0.10481 0.10955 0.11418 224.51 224.57 232.11 239.69 247.36 5 226.378C) 234.46 239.52 247.51 255.60 263.82 272.18 280.69 289.36 298.17 307.15 316.28 325.57 335.01 344.61 0.20 MPa (Tsat s kJ/kg·K 0.9519 0.9721 1.0031 1.0333 1.0628 1.0919 1.1204 1.1485 1.1762 1.2036 1.2306 1.2573 1.2836 1.3097 5 210.098C) 244.50 244.56 253.07 261.60 270.20 0.9379 0.9381 0.9699 1.0005 1.0304 u kJ/kg v m3/kg P 5 h kJ/kg 0.14 MPa (Tsat s kJ/kg·K 5 218.778C) 0.14020 219.56 239.19 0.9447 0.14605 0.15263 0.15908 0.16544 0.17172 0.17794 0.18412 0.19025 0.19635 0.20242 0.20847 0.21449 225.93 233.25 240.68 248.24 255.95 263.80 271.81 279.97 288.29 296.77 305.40 314.19 246.37 254.61 262.95 271.40 279.99 288.72 297.59 306.61 315.78 325.11 334.59 344.22 0.9724 1.0032 1.0331 1.0625 1.0913 1.1196 1.1475 1.1750 1.2021 1.2289 1.2554 1.2815 P 0.24 MPa (Tsat 5 5 25.388C) 0.08398 227.17 247.32 0.9348 0.08617 0.09026 0.09423 231.30 239.00 246.76 251.98 260.66 269.38 0.9520 0.9832 1.0134 920 PROPERTY TABLES AND CHARTS TABLE A–13 Superheated refrigerant-134a (Concluded ) T 8C m3/kg P Sat. 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 5 5 h kJ/kg 0.50 MPa (Tsat 0.041168 0.042115 0.044338 0.046456 0.048499 0.050485 0.052427 0.054331 0.056205 0.058053 0.059880 0.061687 0.063479 0.065256 0.067021 0.068775 P Sat. 40 50 u kJ/kg v 238.77 242.42 250.86 259.27 267.73 276.27 284.91 293.65 302.52 311.52 320.65 329.91 339.31 348.85 358.52 368.34 246.82 254.84 263.87 15.718C) 259.36 263.48 273.03 282.50 291.98 301.51 311.12 320.82 330.63 340.55 350.59 360.75 371.05 381.47 392.04 402.73 0.80 MPa (Tsat 0.025645 0.027035 0.028547 5 5 s kJ/kg·K 0.9242 0.9384 0.9704 1.0011 1.0309 1.0600 1.0884 1.1163 1.1436 1.1706 1.1971 1.2233 1.2492 1.2747 1.3000 1.3250 31.318C) 267.34 0.9185 276.46 0.9481 286.71 0.9803 u kJ/kg v m3/kg P 5 h kJ/kg s kJ/kg·K 0.60 MPa (Tsat 5 21.558C) m3/kg u kJ/kg P 0.70 MPa (Tsat v 5 h kJ/kg 5 s kJ/kg·K 26.698C) 0.034335 241.86 262.46 0.9220 0.029392 244.51 265.08 0.9201 0.035984 0.037865 0.039659 0.041389 0.043069 0.044710 0.046318 0.047900 0.049458 0.050997 0.052519 0.054027 0.055522 0.057006 270.83 280.60 290.30 300.00 309.75 319.57 329.48 339.49 349.61 359.84 370.20 380.68 391.29 402.03 0.029966 0.031696 0.033322 0.034875 0.036373 0.037829 0.039250 0.040642 0.042010 0.043358 0.044688 0.046004 0.047306 0.048597 268.47 278.59 288.54 298.44 308.34 318.29 328.31 338.41 348.61 358.92 369.34 379.88 390.54 401.32 P 5 249.24 257.88 266.50 275.17 283.91 292.74 301.69 310.75 319.93 329.24 338.69 348.26 357.98 367.83 0.90 MPa (Tsat 0.022686 248.82 0.023375 253.15 0.024809 262.46 5 0.9500 0.9817 1.0122 1.0417 1.0706 1.0988 1.1265 1.1536 1.1804 1.2068 1.2328 1.2585 1.2838 1.3089 35.518C) 269.25 0.9169 274.19 0.9328 284.79 0.9661 P 5 247.49 256.41 265.22 274.03 282.88 291.81 300.84 309.96 319.21 328.57 338.06 347.67 357.42 367.31 1.00 MPa (Tsat 0.020319 0.020406 0.021796 5 0.9314 0.9642 0.9955 1.0257 1.0550 1.0835 1.1115 1.1389 1.1659 1.1925 1.2186 1.2445 1.2700 1.2952 39.378C) 250.71 271.04 0.9157 251.32 271.73 0.9180 260.96 282.76 0.9526 S o u rc e o f D a ta : A m rei ca n S o ci et y o f H ea ti n g , R e rfi g rea ti n g , a n d A r-i C o n d it io n in g E n g in e res , In c. , A tl a n ta , G A . d a ta e it h re fr o m t h e ta b le s o r fr o m t h e c h ra t, b u t n o t fr o m b o t h . N o te : T h e re fe re n c e p o in t u se d fo r t h e c h a rt is d if fe re n t t h a n t h a t u se d in t h e R -1 3 4 a ta b le s. T h e re fo re , p ro b le m s s h o u ld b e so lv e d u s in g a ll p ro p e rt y 0 .0 11 0 0 0 .0 2 0 .0 4 0 . 1 1 0 4 2 0.64 06 – 1 5 0 satur ated liquid s 0.1 R -1 3 4 a 04– 0.80 1400 0.88 02– 0.96 0.3 1350 C° 0 = T 1.04 X=0 .5 0.6 1.28 3 0 0 0.7 1.36 3 5 0 0.9 1.20 0.8 10 50 10 00 08 4 0 0 1 00 1.60 1.76 0 1.84 85 0 80 0 7 20 6 0 1.92 40 4 5 0 60 3 5 0 95 0 90 0 1.68 –20 2 5 0 3 0 0 11 00 1.52 satura ted v apor kg/m 3 115 0 06 1.44 5 0 2.00 0 4 0 0 0 0 4 5 0 0 80 5 0 0 2.0 8 100 120 s 140 5 5 0 2. 48 s 4 0 g·K 5 5 0 0 = DD ee nn ssi yityt h == 220 2. 56 2.4 0 240 260 2. 64 2 .4 8 280 2. 72 0 .3 1 300 0 . 4 0 .0 2 0 .6 0 .8 0 .0 4 6 0 0 2.3 2 200 6 5 0 7 5 00 .0 1 =2 .16 kJ/ k 2.2 4 180 7 0 0 5 0 0 T = 160∞C 6 0 0 A – 1 4 120 0 04 –40 F I G U R E 1250 02 2 5 0 2 0 0 1300 1.12 P -h d ia g ra m fo r re fr ig re a n t -1 3 4 a . 1 5 0 1450 0.4 E n t h a lp y , k J/ k g 2 0 1 0 0 1500 0.72 0.2 2 0 0 Pressure, MPa 0 . 1 4 0 . 2 1 . 2 1 .6 2 . 4 0 . 1 3 . 2 4 0 . 2 6 1 2 8 0 . 4 2 1 4 6 1 3 2 4 0 2 5 0 6 0 7 0 9 0 4 6 0 1 2 22 00 00 kk gg / 6 5 0 3 /mm 3 0 0 7 0 0 0 1 0 7 5 2 0 0 A P P E 9 N 2 D 1 I X 1 922 PROPERTY TABLES AND CHARTS (a) Low pressures, 0 < P < 1.0 R T = 5.00 R 3.00 1.0 8.00 0 .6 0 0.9 6.00 5.00 4.00 .50 3 0 0 .7 .6 5 5 . 0 7 2.00 3.00 0 2.6 2.40 20 2. 1.60 0 2.0 0 1.40 0 1.8 0. 80 0 1.6 0. 85 0.8 1.30 T = 2.5 R T = 15 NOTE R Z 1.00 0 1 .4 0.9 0 v– T P—R = Z , 0.7 R O T C A F Y IT L I IB S S E R P M O C 0 1 .5 0 1.3 0 1.2 1.20 0 1.1 1.15 0 1.0 0 0.9 ≈ ≈ 0. 95 TR = 3.00 1.0 5 vR NELSON — OBERT GENERALIZED COMPRESSIBILITY CHARTS 1.00 REDUCED PRESSURE, P = —– R Pcr T REDUCED TEMPERATURE, T = —– R Tcr v CHART No. 1 Z 20 0.95 0 . 6 0 0 .6 5 15 0 10 .7 0 0.90 0.00 = 1 .7 .0 0.80 v R 0.4 T R =0 0.85 12 PSEUDO REDUCED VOLUME, v = ––—––– R RTcr / Pcr 0.05 0.75 0.10 PR 1953 0.3 0.0 2.00 1.60 1.40 1.20 1.10 1.05 1.00 0.95 0.90 30 P 0.5 0 0 0.8 ---DEVIATION > 1.0% 0.6 1.1 0.1 0.2 0.3 0.4 0.5 REDUCED PRESSURE, 0.6 PR 0.7 0.8 0.9 1.0 923 APPENDIX 1 TABLE A–16 Properties of the atmosphere at high altitude Altitude, m Temperature, 8C Pressure, kPa Gravity g, m/s2 Speed of Sound, m/s Density, kg/m3 Thermal Conductivity, W/m·K Viscosity kg/m·s m, 0 200 400 600 800 15.00 13.70 12.40 11.10 9.80 101.33 98.95 96.61 94.32 92.08 9.807 9.806 9.805 9.805 9.804 340.3 339.5 338.8 338.0 337.2 1.225 1.202 1.179 1.156 1.134 1.789 1.783 1.777 1.771 1.764 3 1025 25 3 10 5 3 102 25 3 10 5 3 102 0.0253 0.0252 0.0252 0.0251 0.0250 1000 1200 1400 1600 1800 8.50 7.20 5.90 4.60 3.30 89.88 87.72 85.60 83.53 81.49 9.804 9.803 9.802 9.802 9.801 336.4 335.7 334.9 334.1 333.3 1.112 1.090 1.069 1.048 1.027 1.758 1.752 1.745 1.739 1.732 3 1025 25 3 10 25 3 10 3 1025 25 3 10 0.0249 0.0248 0.0247 0.0245 0.0244 2000 2200 2400 2600 2800 2.00 0.70 20.59 21.89 23.19 79.50 77.55 75.63 73.76 71.92 9.800 9.800 9.799 9.799 9.798 332.5 331.7 331.0 330.2 329.4 1.007 0.987 0.967 0.947 0.928 1.726 1.720 1.713 1.707 1.700 3 1025 5 3 102 25 3 10 25 3 10 5 3 102 0.0243 0.0242 0.0241 0.0240 0.0239 3000 3200 3400 24.49 70.12 68.36 66.63 9.797 9.797 9.796 328.6 327.8 327.0 0.909 0.891 0.872 1.694 1.687 1.681 3 1025 25 3 10 5 3 102 0.0238 0.0237 0.0236 25.79 27.09 5 924 PROPERTY TABLES AND CHARTS TABLE A–17 Ideal-gas properties of air T K h kJ/kg Pr u kJ/kg vr s8 kJ/kg·K T K h kJ/kg Pr u kJ/kg 200 210 220 230 240 199.97 209.97 219.97 230.02 240.02 0.3363 0.3987 0.4690 0.5477 0.6355 142.56 149.69 156.82 164.00 171.13 1707.0 1512.0 1346.0 1205.0 1084.0 1.29559 1.34444 1.39105 1.43557 1.47824 580 590 600 610 620 586.04 596.52 607.02 617.53 628.07 14.38 15.31 16.28 17.30 18.36 419.55 427.15 434.78 442.42 450.09 115.7 110.6 105.8 101.2 96.92 2.37348 2.39140 2.40902 2.42644 2.44356 250 260 270 280 285 250.05 260.09 270.11 280.13 285.14 0.7329 0.8405 0.9590 1.0889 1.1584 178.28 185.45 192.60 199.75 203.33 979.0 887.8 808.0 738.0 706.1 1.51917 1.55848 1.59634 1.63279 1.65055 630 640 650 660 670 638.63 649.22 659.84 670.47 681.14 19.84 20.64 21.86 23.13 24.46 457.78 465.50 473.25 481.01 488.81 92.84 88.99 85.34 81.89 78.61 2.46048 2.47716 2.49364 2.50985 2.52589 290 295 298 300 305 290.16 295.17 298.18 300.19 305.22 1.2311 1.3068 1.3543 1.3860 1.4686 206.91 210.49 212.64 214.07 217.67 676.1 647.9 631.9 621.2 596.0 1.66802 1.68515 1.69528 1.70203 1.71865 680 690 700 710 720 691.82 702.52 713.27 724.04 734.82 25.85 27.29 28.80 30.38 32.02 496.62 504.45 512.33 520.23 528.14 75.50 72.56 69.76 67.07 64.53 2.54175 2.55731 2.57277 2.58810 2.60319 310 315 320 325 330 310.24 315.27 320.29 325.31 330.34 1.5546 1.6442 1.7375 1.8345 1.9352 221.25 224.85 228.42 232.02 235.61 572.3 549.8 528.6 508.4 489.4 1.73498 1.75106 1.76690 1.78249 1.79783 730 740 750 760 780 745.62 756.44 767.29 778.18 800.03 33.72 35.50 37.35 39.27 43.35 536.07 544.02 551.99 560.01 576.12 62.13 59.82 57.63 55.54 51.64 2.61803 2.63280 2.64737 2.66176 2.69013 vr s8 kJ/kg·K 925 APPENDIX 1 TABLE A–17 Ideal-gas properties of air (Concluded) T K h kJ/kg Pr u kJ/kg vr s8 kJ/kg·K T K h kJ/kg 1260 1280 1348.55 1372.24 290.8 310.4 986.90 1004.76 12.435 3.23638 11.835 3.25510 1600 1757.57 1620 1782.00 1300 1320 1340 1360 1380 1395.97 1419.76 1443.60 1467.49 1491.44 330.9 352.5 375.3 399.1 424.2 1022.82 1040.88 1058.94 1077.10 1095.26 11.275 10.747 10.247 9.780 9.337 3.27345 3.29160 3.30959 3.32724 3.34474 1640 1660 1680 1700 1750 1806.46 878.9 1830.96 925.6 1855.50 974.2 1880.1 1025 1941.6 1161 1335.72 5.355 1354.48 5.147 1373.24 4.949 1392.7 4.761 1439.8 4.328 3.55381 3.56867 3.58335 3.5979 3.6336 1400 1420 1440 1460 1480 1515.42 1539.44 1563.51 1587.63 1611.79 450.5 478.0 506.9 537.1 568.8 1113.52 1131.77 1150.13 1168.49 1186.95 8.919 8.526 8.153 7.801 7.468 3.36200 3.37901 3.39586 3.41247 3.42892 1800 1850 1900 1950 2000 2003.3 2065.3 2127.4 2189.7 2252.1 1310 1475 1655 1852 2068 1487.2 1534.9 1582.6 1630.6 1678.7 3.994 3.601 3.295 3.022 2.776 3.6684 3.7023 3.7354 3.7677 3.7994 1500 1520 1540 1560 1580 1635.97 1660.23 1684.51 1708.82 1733.17 601.9 636.5 672.8 710.5 750.0 1205.41 1223.87 1242.43 1260.99 1279.65 7.152 6.854 6.569 6.301 6.046 3.44516 3.46120 3.47712 3.49276 3.50829 2050 2100 2150 2200 2250 2314.6 2377.7 2440.3 2503.2 2566.4 2303 2559 2837 3138 3464 1726.8 1775.3 1823.8 1872.4 1921.3 2.555 2.356 2.175 2.012 1.864 3.8303 3.8605 3.8901 3.9191 3.9474 Pr u kJ/kg vr 791.2 1298.30 5.804 834.1 1316.96 5.574 s8 kJ/kg·K 3.52364 3.53879 Note: The properties Pr (relative pressure) and vr (relative specific volume) are dimensionless quantities used in the analysis of isentropic processes, and should not be confused with the properties pressure and specific volume. 926 PROPERTY TABLES AND CHARTS TABLE A–18 Ideal-gas properties of nitrogen, N2 _ _ T h u K kJ/kmol kJ/kmol _ s8 kJ/kmol·K T K _ h kJ/kmol _ u kJ/kmol _ s8 kJ/kmol·K 0 220 230 240 250 0 6,391 6,683 6,975 7,266 0 4,562 4,770 4,979 5,188 0 182.639 183.938 185.180 186.370 600 610 620 630 640 17,563 17,864 18,166 18,468 18,772 12,574 12,792 13,011 13,230 13,450 212.066 212.564 213.055 213.541 214.018 260 270 280 290 298 7,558 7,849 8,141 8,432 8,669 5,396 5,604 5,813 6,021 6,190 187.514 188.614 189.673 190.695 191.502 650 660 670 680 690 19,075 19,380 19,685 19,991 20,297 13,671 13,892 14,114 14,337 14,560 214.489 214.954 215.413 215.866 216.314 300 310 320 330 340 8,723 9,014 9,306 9,597 9,888 6,229 6,437 6,645 6,853 7,061 191.682 192.638 193.562 194.459 195.328 700 710 720 730 740 20,604 20,912 21,220 21,529 21,839 14,784 15,008 15,234 15,460 15,686 216.756 217.192 217.624 218.059 218.472 350 360 370 380 10,180 10,471 10,763 11,055 7,270 7,478 7,687 7,895 196.173 196.995 197.794 198.572 750 760 770 780 22,149 22,460 22,772 23,085 15,913 16,141 16,370 16,599 218.889 219.301 219.709 220.113 927 APPENDIX 1 TABLE A–18 Ideal-gas properties of nitrogen, N2 ( Concluded) _ _ _ T h u s8 K kJ/kmol kJ/kmol kJ/kmol·K T _ h _ u _ s8 K kJ/kmol kJ/kmol kJ/kmol·K 1000 1020 1040 1060 1080 30,129 30,784 31,442 32,101 32,762 21,815 22,304 22,795 23,288 23,782 228.057 228.706 229.344 229.973 230.591 1760 1780 1800 1820 1840 56,227 56,938 57,651 58,363 59,075 41,594 42,139 42,685 43,231 43,777 247.396 247.798 248.195 248.589 248.979 1100 1120 1140 1160 1180 33,426 34,092 34,760 35,430 36,104 24,280 24,780 25,282 25,786 26,291 231.199 231.799 232.391 232.973 233.549 1860 1880 1900 1920 1940 59,790 60,504 61,220 61,936 62,654 44,324 44,873 45,423 45,973 46,524 249.365 249.748 250.128 250.502 250.874 1200 1220 1240 1260 1280 36,777 37,452 38,129 38,807 39,488 26,799 27,308 27,819 28,331 28,845 234.115 234.673 235.223 235.766 236.302 1960 1980 2000 2050 2100 63,381 64,090 64,810 66,612 68,417 47,075 47,627 48,181 49,567 50,957 251.242 251.607 251.969 252.858 253.726 1300 1320 1340 1360 40,170 40,853 41,539 42,227 29,361 29,378 30,398 30,919 236.831 237.353 237.867 238.376 2150 2200 2250 2300 70,226 72,040 73,856 75,676 52,351 53,749 55,149 56,553 254.578 255.412 256.227 257.027 928 PROPERTY TABLES AND CHARTS TABLE A–19 Ideal-gas properties of oxygen, O2 _ _ T h u K kJ/kmol kJ/kmol _ s8 T _ h _ u _ s8 kJ/kmol·K K kJ/kmol kJ/kmol kJ/kmol·K 0 220 230 240 250 0 6,404 6,694 6,984 7,275 0 4,575 4,782 4,989 5,197 0 196.171 197.461 198.696 199.885 600 610 620 630 640 17,929 18,250 18,572 18,895 19,219 12,940 13,178 13,417 13,657 13,898 226.346 226.877 227.400 227.918 228.429 260 270 280 290 298 7,566 7,858 8,150 8,443 8,682 5,405 5,613 5,822 6,032 6,203 201.027 202.128 203.191 204.218 205.033 650 660 670 680 690 19,544 19,870 20,197 20,524 20,854 14,140 14,383 14,626 14,871 15,116 228.932 229.430 229.920 230.405 230.885 300 310 320 330 340 8,736 9,030 9,325 9,620 9,916 6,242 6,453 6,664 6,877 7,090 205.213 206.177 207.112 208.020 208.904 700 710 720 730 740 21,184 21,514 21,845 22,177 22,510 15,364 15,611 15,859 16,107 16,357 231.358 231.827 232.291 232.748 233.201 350 360 370 380 10,213 10,511 10,809 11,109 7,303 7,518 7,733 7,949 209.765 210.604 211.423 212.222 750 760 770 780 22,844 23,178 23,513 23,850 16,607 16,859 17,111 17,364 233.649 234.091 234.528 234.960 929 APPENDIX 1 TABLE A–19 Ideal-gas properties of oxygen, O2 (Concluded ) _ _ _ T h u s8 K kJ/kmol kJ/kmol kJ/kmol·K T _ h _ u _ s8 K kJ/kmol kJ/kmol kJ/kmol·K 1000 1020 1040 1060 1080 31,389 32,088 32,789 33,490 34,194 23,075 23,607 24,142 24,677 25,214 243.471 244.164 244.844 245.513 246.171 1760 1780 1800 1820 1840 58,880 59,624 60,371 61,118 61,866 44,247 44,825 45,405 45,986 46,568 263.861 264.283 264.701 265.113 265.521 1100 1120 1140 1160 1180 34,899 35,606 36,314 37,023 37,734 25,753 26,294 26,836 27,379 27,923 246.818 247.454 248.081 248.698 249.307 1860 1880 1900 1920 1940 62,616 63,365 64,116 64,868 65,620 47,151 47,734 48,319 48,904 49,490 265.925 266.326 266.722 267.115 267.505 1200 1220 1240 1260 1280 38,447 39,162 39,877 40,594 41,312 28,469 29,018 29,568 30,118 30,670 249.906 250.497 251.079 251.653 252.219 1960 1980 2000 2050 2100 66,374 67,127 67,881 69,772 71,668 50,078 50,665 51,253 52,727 54,208 267.891 268.275 268.655 269.588 270.504 1300 1320 1340 1360 42,033 42,753 43,475 44,198 31,224 31,778 32,334 32,891 252.776 253.325 253.868 254.404 2150 2200 2250 2300 73,573 75,484 77,397 79,316 55,697 57,192 58,690 60,193 271.399 272.278 273.136 273.891 930 PROPERTY TABLES AND CHARTS TABLE A–20 Ideal-gas properties of carbon dioxide, CO2 _ _ T h u _ s8 T _ h _ u _ s8 K kJ/kmol kJ/kmol kJ/kmol·K K kJ/kmol kJ/kmol kJ/kmol·K 0 220 230 240 250 0 6,601 6,938 7,280 7,627 0 4,772 5,026 5,285 5,548 0 202.966 204.464 205.920 207.337 600 610 620 630 640 22,280 22,754 23,231 23,709 24,190 17,291 17,683 18,076 18,471 18,869 243.199 243.983 244.758 245.524 246.282 260 270 280 290 298 7,979 8,335 8,697 9,063 9,364 5,817 6,091 6,369 6,651 6,885 208.717 210.062 211.376 212.660 213.685 650 660 670 680 690 24,674 25,160 25,648 26,138 26,631 19,270 19,672 20,078 20,484 20,894 247.032 247.773 248.507 249.233 249.952 300 310 320 330 340 9,431 9,807 10,186 10,570 10,959 6,939 7,230 7,526 7,826 8,131 213.915 215.146 216.351 217.534 218.694 700 710 720 730 740 27,125 27,622 28,121 28,622 29,124 21,305 21,719 22,134 22,522 22,972 250.663 251.368 252.065 252.755 253.439 350 360 370 380 11,351 11,748 12,148 12,552 8,439 8,752 9,068 9,392 219.831 220.948 222.044 223.122 750 760 770 780 29,629 30,135 30,644 31,154 23,393 23,817 24,242 24,669 254.117 254.787 255.452 256.110 931 APPENDIX 1 TABLE A–20 Ideal-gas properties of carbon dioxide, CO2 (Concluded) _ _ _ T h u s8 T _ h _ u _ s8 K kJ/kmol kJ/kmol kJ/kmol·K K kJ/kmol kJ/kmol kJ/kmol·K 1000 1020 1040 1060 1080 42,769 43,859 44,953 46,051 47,153 34,455 35,378 36,306 37,238 38,174 269.215 270.293 271.354 272.400 273.430 1760 1780 1800 1820 1840 86,420 87,612 88,806 90,000 91,196 71,787 72,812 73,840 74,868 75,897 301.543 302.217 302.884 303.544 304.198 1100 1120 1140 1160 1180 48,258 49,369 50,484 51,602 52,724 39,112 40,057 41,006 41,957 42,913 274.445 275.444 276.430 277.403 278.361 1860 1880 1900 1920 1940 92,394 93,593 94,793 95,995 97,197 76,929 77,962 78,996 80,031 81,067 304.845 305.487 306.122 306.751 307.374 1200 1220 1240 1260 1280 53,848 54,977 56,108 57,244 58,381 43,871 44,834 45,799 46,768 47,739 297.307 280.238 281.158 282.066 282.962 1960 1980 2000 2050 2100 98,401 99,606 100,804 103,835 106,864 82,105 83,144 84,185 86,791 89,404 307.992 308.604 309.210 310.701 312.160 1300 1320 1340 1360 59,522 60,666 61,813 62,963 48,713 49,691 50,672 51,656 283.847 284.722 285.586 286.439 2150 2200 2250 2300 109,898 112,939 115,984 119,035 92,023 94,648 97,277 99,912 313.589 314.988 316.356 317.695 932 PROPERTY TABLES AND CHARTS TABLE A–21 Ideal-gas properties of carbon monoxide, CO _ _ _ T h u s8 T _ h _ u _ s8 K kJ/kmol kJ/kmol kJ/kmol·K K kJ/kmol kJ/kmol kJ/kmol·K 0 220 230 240 250 0 6,391 6,683 6,975 7,266 0 4,562 4,771 4,979 5,188 0 188.683 189.980 191.221 192.411 600 610 620 630 640 17,611 17,915 18,221 18,527 18,833 12,622 12,843 13,066 13,289 13,512 218.204 218.708 219.205 219.695 220.179 260 270 280 290 298 7,558 7,849 8,140 8,432 8,669 5,396 5,604 5,812 6,020 6,190 193.554 194.654 195.713 196.735 197.543 650 660 670 680 690 19,141 19,449 19,758 20,068 20,378 13,736 13,962 14,187 14,414 14,641 220.656 221.127 221.592 222.052 222.505 300 310 320 330 340 8,723 9,014 9,306 9,597 9,889 6,229 6,437 6,645 6,854 7,062 197.723 198.678 199.603 200.500 201.371 700 710 720 730 740 20,690 21,002 21,315 21,628 21,943 14,870 15,099 15,328 15,558 15,789 222.953 223.396 223.833 224.265 224.692 350 360 370 380 10,181 10,473 10,765 11,058 7,271 7,480 7,689 7,899 202.217 203.040 203.842 204.622 750 760 770 780 22,258 22,573 22,890 23,208 16,022 16,255 16,488 16,723 225.115 225.533 225.947 226.357 933 APPENDIX 1 TABLE A–21 Ideal-gas properties of carbon monoxide, CO (Concluded) _ _ _ T h u s8 K kJ/kmol kJ/kmol kJ/kmol·K T _ h _ u _ s8 K kJ/kmol kJ/kmol kJ/kmol·K 1000 1020 1040 1060 1080 30,355 31,020 31,688 32,357 33,029 22,041 22,540 23,041 23,544 24,049 234.421 235.079 235.728 236.364 236.992 1760 1780 1800 1820 1840 56,756 57,473 58,191 58,910 59,629 42,123 42,673 43,225 43,778 44,331 253.991 254.398 254.797 255.194 255.587 1100 1120 1140 1160 1180 33,702 34,377 35,054 35,733 36,406 24,557 25,065 25,575 26,088 26,602 237.609 238.217 238.817 239.407 239.989 1860 1880 1900 1920 1940 60,351 61,072 61,794 62,516 63,238 44,886 45,441 45,997 46,552 47,108 255.976 256.361 256.743 257.122 257.497 1200 1220 1240 1260 1280 37,095 37,780 38,466 39,154 39,844 27,118 27,637 28,426 28,678 29,201 240.663 241.128 241.686 242.236 242.780 1960 1980 2000 2050 2100 63,961 64,684 65,408 67,224 69,044 47,665 48,221 48,780 50,179 51,584 257.868 258.236 258.600 259.494 260.370 1300 1320 1340 1360 40,534 41,226 41,919 42,613 29,725 30,251 30,778 31,306 243.316 243.844 244.366 244.880 2150 2200 2250 2300 70,864 72,688 74,516 76,345 52,988 54,396 55,809 57,222 261.226 262.065 262.887 263.692 934 PROPERTY TABLES AND CHARTS TABLE A–22 Ideal-gas properties of hydrogen, H2 _ _ T h u _ s8 T _ h _ u _ s8 K kJ/kmol kJ/kmol kJ/kmol·K K kJ/kmol kJ/kmol kJ/kmol·K 0 260 270 280 290 0 7,370 7,657 7,945 8,233 0 5,209 5,412 5,617 5,822 0 126.636 127.719 128.765 129.775 1440 1480 1520 1560 1600 42,808 44,091 45,384 46,683 47,990 30,835 31,786 32,746 33,713 34,687 177.410 178.291 179.153 179.995 180.820 298 300 320 340 360 8,468 8,522 9,100 9,680 10,262 5,989 6,027 6,440 6,853 7,268 130.574 130.754 132.621 134.378 136.039 1640 1680 1720 1760 1800 49,303 50,622 51,947 53,279 54,618 35,668 36,654 37,646 38,645 39,652 181.632 182.428 183.208 183.973 184.724 380 400 420 440 460 10,843 11,426 12,010 12,594 13,179 7,684 8,100 8,518 8,936 9,355 137.612 139.106 140.529 141.888 143.187 1840 1880 1920 1960 2000 55,962 57,311 58,668 60,031 61,400 40,663 41,680 42,705 43,735 44,771 185.463 186.190 186.904 187.607 188.297 480 500 520 560 13,764 14,350 14,935 16,107 9,773 10,193 10,611 11,451 144.432 145.628 146.775 148.945 2050 2100 2150 2200 63,119 64,847 66,584 68,328 46,074 47,386 48,708 50,037 189.148 189.979 190.796 191.598 935 APPENDIX 1 TABLE A–23 Ideal-gas properties of water vapor, H2O _ _ T h u _ s8 T _ h _ u _ s8 K kJ/kmol kJ/kmol kJ/kmol·K K kJ/kmol kJ/kmol kJ/kmol·K 0 220 230 240 250 0 7,295 7,628 7,961 8,294 0 5,466 5,715 5,965 6,215 0 178.576 180.054 181.471 182.831 600 610 620 630 640 20,402 20,765 21,130 21,495 21,862 15,413 15,693 15,975 16,257 16,541 212.920 213.529 214.122 214.707 215.285 260 270 280 290 298 8,627 8,961 9,296 9,631 9,904 6,466 6,716 6,968 7,219 7,425 184.139 185.399 186.616 187.791 188.720 650 660 670 680 690 22,230 22,600 22,970 23,342 23,714 16,826 17,112 17,399 17,688 17,978 215.856 216.419 216.976 217.527 218.071 300 310 320 330 340 9,966 10,302 10,639 10,976 11,314 7,472 7,725 7,978 8,232 8,487 188.928 190.030 191.098 192.136 193.144 700 710 720 730 740 24,088 24,464 24,840 25,218 25,597 18,268 18,561 18,854 19,148 19,444 218.610 219.142 219.668 220.189 220.707 350 360 370 380 11,652 11,992 12,331 12,672 8,742 8,998 9,255 9,513 194.125 195.081 196.012 196.920 750 760 770 780 25,977 26,358 26,741 27,125 19,741 20,039 20,339 20,639 221.215 221.720 222.221 222.717 936 PROPERTY TABLES AND CHARTS TABLE A–23 Ideal-gas properties of water vapor, H2O ( Continued ) _ _ _ T h u s8 K kJ/kmol kJ/kmol kJ/kmol·K T _ h _ u _ s8 K kJ/kmol kJ/kmol kJ/kmol·K 1000 1020 1040 1060 1080 35,882 36,709 37,542 38,380 39,223 27,568 28,228 28,895 29,567 30,243 232.597 233.415 234.223 235.020 235.806 1760 1780 1800 1820 1840 70,535 71,523 72,513 73,507 74,506 55,902 56,723 57,547 58,375 59,207 258.151 258.708 259.262 259.811 260.357 1100 1120 1140 1160 1180 40,071 40,923 41,780 42,642 43,509 30,925 31,611 32,301 32,997 33,698 236.584 237.352 238.110 238.859 239.600 1860 1880 1900 1920 1940 75,506 76,511 77,517 78,527 79,540 60,042 60,880 61,720 62,564 63,411 260.898 261.436 261.969 262.497 263.022 1200 1220 1240 1260 1280 44,380 45,256 46,137 47,022 47,912 34,403 35,112 35,827 36,546 37,270 240.333 241.057 241.773 242.482 243.183 1960 1980 2000 2050 2100 80,555 81,573 82,593 85,156 87,735 64,259 65,111 65,965 68,111 70,275 263.542 264.059 264.571 265.838 267.081 1300 1320 1340 1360 48,807 49,707 50,612 51,521 38,000 38,732 39,470 40,213 243.877 244.564 245.243 245.915 2150 2200 2250 2300 90,330 92,940 95,562 98,199 72,454 74,649 76,855 79,076 268.301 269.500 270.679 271.839 937 APPENDIX 1 TABLE A–24 Ideal-gas properties of monatomic oxygen, O _ _ _ T h u s8 T _ h _ u _ s8 K kJ/kmol kJ/kmol kJ/kmol·K K kJ/kmol kJ/kmol kJ/kmol·K 0 298 300 500 1000 1500 1600 1700 1800 1900 2000 2050 2100 2150 2200 2250 2300 2350 0 6,852 6,892 11,197 21,713 32,150 34,234 36,317 38,400 40,482 42,564 43,605 44,646 45,687 46,728 47,769 48,811 49,852 0 4,373 4,398 7,040 13,398 19,679 20,931 22,183 23,434 24,685 25,935 26,560 27,186 27,811 28,436 29,062 29,688 30,314 0 160.944 161.079 172.088 186.678 195.143 196.488 197.751 198.941 200.067 201.135 201.649 202.151 202.641 203.119 203.588 204.045 204.493 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000 3100 3200 3300 3400 3500 50,894 51,936 52,979 54,021 55,064 56,108 57,152 58,196 59,241 60,286 61,332 62,378 63,425 65,520 67,619 69,720 71,824 73,932 30,940 31,566 32,193 32,820 33,447 34,075 34,703 35,332 35,961 36,590 37,220 37,851 38,482 39,746 41,013 42,283 43,556 44,832 204.932 205.362 205.783 206.196 206.601 206.999 207.389 207.772 208.148 208.518 208.882 209.240 209.592 210.279 210.945 211.592 212.220 212.831 938 PROPERTY TABLES AND CHARTS TABLE A–26 Enthalpy of formation, Gibbs function of formation, and absolute entropy at 258C, 1 atm _ _ _ hf8 gf8 s8 Substance Formula kJ/kmol kJ/kmol kJ/kmol·K Carbon Hydrogen Nitrogen Oxygen Carbon monoxide Carbon dioxide Water vapor Water Hydrogen peroxide Ammonia Methane Acetylene Ethylene Ethane Propylene Propane n-Butane n-Octane n-Octane C(s) H2(g) N2(g) O2(g) CO(g) CO2(g) H2O(g) H2O(,) H2O2(g) NH3(g) CH4(g) C2H2(g) C2H4(g) C2H6(g) C3H6(g) C3H8(g) C4H10(g) C8H18(g) C8H18(,) 0 0 0 0 2110,530 2393,520 2241,820 2285,830 2136,310 246,190 274,850 1226,730 +52,280 284,680 +20,410 2103,850 2126,150 2208,450 2249,950 0 0 0 0 2137,150 2394,360 2228,590 2237,180 2105,600 216,590 250,790 1209,170 168,120 232,890 162,720 223,490 215,710 116,530 +6,610 5.74 130.68 191.61 205.04 197.65 213.80 188.83 69.92 232.63 192.33 186.16 200.85 219.83 229.49 266.94 269.91 310.12 466.73 360.79 939 APPENDIX 1 TABLE A–27 Properties of some common fuels and hydrocarbons Fuel (phase) Formula Molar mass, kg/kmol Carbon (s) Hydrogen (g) Carbon monoxide (g) Methane (g) Methanol (,) Acetylene (g) Ethane (g) Ethanol (,) Propane (,) Butane (,) 1-Pentene (,) Isopentane (,) Benzene (,) Hexene (,) Hexane (,) Toluene (,) Heptane (,) Octane (,) C H2 CO CH4 CH4O C2H2 C2H6 C2H6O C3H8 C4H10 C5H10 C5H12 C6H6 C6H12 C6H14 C7H8 C7H16 C8H18 12.011 2.016 28.013 16.043 32.042 26.038 30.070 46.069 44.097 58.123 70.134 72.150 78.114 84.161 86.177 92.141 100.204 114.231 Density,1 kg/L 2 — — — 0.790 — — 0.790 0.500 0.579 0.641 0.626 0.877 0.673 0.660 0.867 0.684 0.703 Enthalpy of vaporization,2 kJ/kg Specific heat,1 cp kJ/kg·K Higher heating value,3 kJ/kg — — — 509 1168 — 172 919 335 362 363 — 433 392 366 412 365 363 0.708 14.4 1.05 2.20 2.53 1.69 1.75 2.44 2.77 2.42 2.20 2.32 1.72 1.84 2.27 1.71 2.24 2.23 32,800 141,800 10,100 55,530 22,660 49,970 51,900 29,670 50,330 49,150 47,760 48,570 41,800 47,500 48,310 42,400 48,100 47,890 Lower heating value,3 kJ/kg 32,800 120,000 10,100 50,050 19,920 48,280 47,520 26,810 46,340 45,370 44,630 44,910 40,100 44,400 44,740 40,500 44,600 44,430 940 PROPERTY TABLES AND CHARTS TABLE A–28 Natural logarithms of the equilibrium constant Kp The equilibrium constant Kp for the reaction nA A + nB B ∆ nC C + nD D is defined as Kp ; PCnC PDnD PAnA PBnB Temp., K 298 500 1000 1200 1400 1600 1800 2000 2200 2400 2600 2800 3000 3200 3400 3600 3800 4000 4500 H2 ∆ 2H O2 ∆ 2O N2 ∆ 2N H2O ∆ H 2 + 1/2O2 H2O ∆ 1/2H2 + OH CO2 ∆ CO + 1/2O2 1 /2N2 + 1/2O2 ∆ 2164.005 2186.975 2367.480 292.208 2106.208 2103.762 235.052 292.827 2105.630 2213.372 252.691 260.281 257.616 220.295 239.803 245.150 299.127 223.163 226.034 223.529 29.388 230.874 235.005 280.011 218.182 220.283 217.871 27.569 224.463 227.742 266.329 214.609 216.099 213.842 26.270 219.637 222.285 256.055 211.921 213.066 210.830 25.294 215.866 218.030 248.051 29.826 210.657 28.497 24.536 212.840 214.622 241.645 28.145 28.728 26.635 23.931 210.353 211.827 236.391 26.768 27.148 25.120 23.433 28.276 29.497 232.011 25.619 25.832 23.860 23.019 26.517 27.521 228.304 24.648 24.719 22.801 22.671 25.002 25.826 225.117 23.812 23.763 21.894 22.372 23.685 24.357 222.359 23.086 22.937 21.111 22.114 22.534 23.072 219.937 22.451 22.212 20.429 21.888 21.516 21.935 217.800 21.891 21.576 21.690 20.609 20.926 215.898 21.392 21.088 0.202 0.934 2.486 20.019 214.199 20.945 20.501 0.796 2.513 212.660 20.542 20.044 29.414 0.312 0.920 0.169 0.701 1.176 1.599 2.490 21.513 21.356 21.216 20.921 NO 941 APPENDIX 1 7.5 0.50 7.0 0.55 T R 0.60 6.5 0.65 0.70 6.0 Sa tur ate dl iqu id 5.5 0.75 0.80 0.90 5.0 0.94 0.92 0.98 0.96 0.75 0.80 – 4.5 h – —rc ael —T 4.0 id —R h — = 3.5 – – h —r – c l —T 3.0 ea u di —R –h — 2.5 = 0.85 1.02 0.85 1.06 0.90 1.00 1.04 1.08 1.10 1.15 0.92 0.94 1.20 0.96 1.25 1.30 0.98 1.40 h Z er tru a pe d y lpa h 2.0 1.50 1.5 1.70 1.80 1.0 0 10 0 1. .2 0 1 3 1.60 1.90 2.00 2.20 942 PROPERTY TABLES AND CHARTS 10.0 – 0.500 — la —R 0.400 die — s — s – er tru ap de y p o tr n E 9.0 = 0.300 Z TR = 0.60 S Sat aut rua rta etd ed li gq aus id 6.0 – s –— la —u e R id — s — 5.0 =s Z er ra p ed y 0.55 0.65 0.70 0.75 0.75 0.80 0.80 u t 0.85 4.0 0.90 0.90 0.94 0.85 0.92 TR 0 1.0 1.10 1.40 1.60 0 s – .90 =0 1.20 0.000 0.50 – 7.0 — la —R e d i— s — 0 0.8 – — 0.200 la —u R die — s — 0.100 = s – s 8.0 edd aatte tuurr t a a SS r oour aapp vv 2.00 0.05 0.10 0.15 0.20 0.25 0.30 PR ASHRAE Psychrometric Chart No. 1 Normal Temperature Barometric Pressure: 101.325 kPa ©1992 American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc. 0.36 30 Sea Level 0. 94 100 ∑ 10.0 5.0 1.0 1.5 2.0 4.0 0.8 0.7 0.6 0.5 0.4 0 4. DHS Sensible heat —————– = —— Total heat DHT 3 0. – ∑ – 24.0 –1 .0 . – 0 .2 0 .0 3 – .1 0 0 0 .5 0 .2 30 –∑ 1.0 – 5.0 – 2.0 26 90 0.0 0.45 24 a dry . 5 Enthalpy Dh —————— = —— Humidity ratio D ( lpy th a n E ) h k il es ul ojo r pe 80 ir ram og kil 70 25 60 S 40 rat atu 0. 92 25 % 90 50 t ion e t era mp e ur we % 80 °C t bu lb t em per atu r 0. 90 S vo lu m e cu bi c m et er pe r e °C % 70 20 20 % 60 0. 88 % 50 ki lo gr am dr y ai r ira yr 22 d m ra og 20 ilk re p re 18 tsu io m s 16 am r g ) ( o tia 14 r tiy id m 12 u H 15 0. 86 15 % 40 0.60 0.65 90 0.70 0.75 0.80 0.85 0.90 0.95 1.0 70 6 20% 5 0 0.55 100 T H—H D—D = ta – t he —ae e —h bli —lta s o en—T S— 8 0. 84 10 0. 78 0.50 10 30% 10 20 0 110 80 30 0. 82 5 120 30 1. 0 2. 0 2 0.40 28 l 10% re 0. 80 ative h midity 4 u 60 2 10 20 30 40 Dry bulb temperature °C Prepared by Center for Applied Thermodynamic St udies, University of Idaho. FIGURE A–31 Psychrometric chart at 1 atm total pressure. Reprinted by permission of the American Society of Heating, Refrigerating and Air-Conditioning Engineers, Inc., Atlanta, GA; used with permission. 50 A P P E 9 N 4 D 3 I X 1 944 PROPERTY TABLES AND CHARTS TABLE A–32 One-dimensional isentropic compressible-flow functions for an ideal gas with k 5 1.4 Ma Ma* 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0 0 0.1094 0.2182 0.3257 0.4313 0.5345 0.6348 0.7318 0.8251 0.9146 1.0000 1.1583 1.2999 1.4254 1.5360 1.6330 1.7179 1.7922 1.8571 1.9140 1.9640 A/A* ` 5.8218 2.9635 2.0351 1.5901 1.3398 1.1882 1.0944 1.0382 1.0089 1.0000 1.0304 1.1149 1.2502 1.4390 1.6875 2.0050 2.4031 2.8960 3.5001 4.2346 P/P0 r/r0 T/T0 1.0000 0.9930 0.9725 0.9395 0.8956 0.8430 0.7840 0.7209 0.6560 0.5913 0.5283 0.4124 0.3142 0.2353 0.1740 0.1278 0.0935 0.0684 0.0501 0.0368 0.0272 1.0000 0.9950 0.9803 0.9564 0.9243 0.8852 0.8405 0.7916 0.7400 0.6870 0.6339 0.5311 0.4374 0.3557 0.2868 0.2300 0.1841 0.1472 0.1179 0.0946 0.0760 1.0000 0.9980 0.9921 0.9823 0.9690 0.9524 0.9328 0.9107 0.8865 0.8606 0.8333 0.7764 0.7184 0.6614 0.6068 0.5556 0.5081 0.4647 0.4252 0.3894 0.3571 Ma* A A* P P0 r r0 T T0 5 5 5 5 5 Å a ba Ma 1 1 1 (k 2 1)Ma2 2 Ma k a a a 1 2 k 1 1 1 1 1 1 1 k 1 2 1 2 k 2 1 2 k 2 2 1 1 1 Ma2 Ma2 Ma2 b b b k 2 1 2 2k/(k 2 1) 21/(k 2 1) 21 Ma2 bd 0.5(k 1 1)/(k 2 1) 945 APPENDIX 1 T01 Ma2 P2 P1 r2 r1 T2 T1 P02 P01 P02 P1 5 T02 5 Å 5 5 5 5 5 TABLE A–33 2 1)Ma21 1 (k 2kMa21 2 1 1 kMa21 1 2 1 kMa2 P2/P1 5 k 5 (k 1 Ma1 Ma2 P2/P1 r2/r1 T2/T1 P02/P01 P02/P1 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 1.0000 0.9118 0.8422 0.7860 0.7397 0.7011 0.6684 0.6405 0.6165 0.5956 0.5774 0.5613 0.5471 0.5344 0.5231 0.5130 0.5039 0.4956 0.4882 0.4814 0.4752 1.0000 1.2450 1.5133 1.8050 2.1200 2.4583 2.8200 3.2050 3.6133 4.0450 4.5000 4.9783 5.4800 6.0050 6.5533 7.1250 7.7200 8.3383 8.9800 9.6450 10.3333 1.0000 1.1691 1.3416 1.5157 1.6897 1.8621 2.0317 2.1977 2.3592 2.5157 2.6667 2.8119 2.9512 3.0845 3.2119 3.3333 3.4490 3.5590 3.6636 3.7629 3.8571 1.0000 1.0649 1.1280 1.1909 1.2547 1.3202 1.3880 1.4583 1.5316 1.6079 1.6875 1.7705 1.8569 1.9468 2.0403 2.1375 2.2383 2.3429 2.4512 2.5632 2.6790 1.0000 0.9989 0.9928 0.9794 0.9582 0.9298 0.8952 0.8557 0.8127 0.7674 0.7209 0.6742 0.6281 0.5833 0.5401 0.4990 0.4601 0.4236 0.3895 0.3577 0.3283 1.8929 2.1328 2.4075 2.7136 3.0492 3.4133 3.8050 4.2238 4.6695 5.1418 5.6404 6.1654 6.7165 7.2937 7.8969 8.5261 9.1813 9.8624 10.5694 11.3022 12.0610 k 1 1 k 1 1)Ma21 2 1)Ma21 1 (k Ma21(k 2 1 2 1) 2 1 Ma22(k 2 1) c One-dimensional normal-shock functions for an ideal gas with k 1 2kMa21 2 2 T2/T1 2 Ma1 1 1 Ma22(k 2 1)/2 Ma2 1 1 Ma21(k 2 1)/2 1 1 5 d V1 V2 (k 1 1)/[2(k 2 1)] (1 1 kMa21)[ 1 1 Ma22(k 2 1)/2] k/(k21) 1 1 kMa22 5 1.4 946 PROPERTY TABLES AND CHARTS T0 TABLE A–34 Rayleigh flow functions for an ideal gas with k 5 T 0* 1.4 Ma T0/T 0* P0/P 0* T/T * P/P * V /V * 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0 0.0000 0.0468 0.1736 0.3469 0.5290 0.6914 0.8189 0.9085 0.9639 0.9921 1.0000 0.9787 0.9343 0.8842 0.8363 0.7934 0.7561 0.7242 0.6970 0.6738 0.6540 1.2679 1.2591 1.2346 1.1985 1.1566 1.1141 1.0753 1.0431 1.0193 1.0049 1.0000 1.0194 1.0777 1.1756 1.3159 1.5031 1.7434 2.0451 2.4177 2.8731 3.4245 0.0000 0.0560 0.2066 0.4089 0.6151 0.7901 0.9167 0.9929 1.0255 1.0245 1.0000 0.9118 0.8054 0.7017 0.6089 0.5289 0.4611 0.4038 0.3556 0.3149 0.2803 2.4000 2.3669 2.2727 2.1314 1.9608 1.7778 1.5957 1.4235 1.2658 1.1246 1.0000 0.7958 0.6410 0.5236 0.4335 0.3636 0.3086 0.2648 0.2294 0.2004 0.1765 0.0000 0.0237 0.0909 0.1918 0.3137 0.4444 0.5745 0.6975 0.8101 0.9110 1.0000 1.1459 1.2564 1.3403 1.4046 1.4545 1.4938 1.5252 1.5505 1.5711 1.5882 P0 P* 0 T T* P P* V V* 5 5 5 5 5 1 (k 1)Ma2 [2 (1 k a kMa2 a 1 k) 1 1 1 1 1 Ma(1 1 1 kMa2 1 1 k 1 1 r* r 2 b 1 (k 1)Ma2] kMa2)2 1 (k 2 1)Ma2 k 1 1 2 kMa2 5 2 (1 1 k)Ma2 1 1 kMa2 b k/(k 2 1) APPENDIX 2 PROP ERTY T ABLE S AND CHARTS (ENGLISH UNITS) Table A–1E Molar mass, gas constant, and critical-point properties Table A–2E Ideal-gas specific heats of various common gases Table A–3E Properties of common liquids, solids, and foods Table A–4E Saturated water—Temperature table Table A–5E Saturated water—P water—Pressure ressure table Table A–6E Superheated water Table A–7E Compressed liquid water Table A–8E Saturated ice–water vapor 958 962 963 956 954 949 952 948 948 PROPERTY TABLES AND CHARTS TABLE A–1E Molar mass, gas constant, and critical-point properties Substance Molar mass, M Formula lbm/lbmol Air Ammonia Argon Benzene Bromine n-Butane Carbon dioxide Carbon monoxide Carbon tetrachloride Chlorine Chloroform Dichlorodifluoromethane (R-12) Dichlorofluoromethane (R-21) Ethane Ethyl alcohol Ethylene Helium n-Hexane Hydrogen (normal) — NH3 Ar C6H6 Br2 C4H10 CO2 CO CCl4 Cl2 CHCl3 CCl2F2 CHCl2F C2H6 C2H5OH C2H4 He C6H14 H 28.97 17.03 39.948 78.115 159.808 58.124 44.01 28.011 153.82 70.906 119.38 120.91 102.92 30.020 46.07 28.054 4.003 86.178 2.016 Gas constant, R Btu/ lbm?R* psia?ft3/ lbm?R* 0.06855 0.1166 0.04971 0.02542 0.01243 0.03417 0.04513 0.07090 0.01291 0.02801 0.01664 0.01643 0.01930 0.06616 0.04311 0.07079 0.4961 0.02305 0.9851 0.3704 0.6301 0.2686 0.1374 0.06714 0.1846 0.2438 0.3831 0.06976 0.1517 0.08988 0.08874 0.1043 0.3574 0.2329 0.3825 2.6809 0.1245 5.3224 Critical-point properties Temperature, R 238.5 729.8 272 1012 1052 765.2 547.5 240 1001.5 751 965.8 692.4 813.0 549.8 929.0 508.3 9.5 914.2 59.9 Pressure, psia 547 1636 705 714 1500 551 1071 507 661 1120 794 582 749 708 926 742 33.2 439 188.1 Volume, ft3/lbmol 1.41 1.16 1.20 4.17 2.17 4.08 1.51 1.49 4.42 1.99 3.85 3.49 3.16 2.37 2.68 1.99 0.926 5.89 1.04 949 APPENDIX 2 TABLE A–2E Ideal-gas specific heats of various common gases (a) At 808F Gas Formula Air Argon Butane Carbon dioxide Carbon monoxide Ethane Ethylene Helium Hydrogen Methane Neon Nitrogen Octane Oxygen Propane Steam — Ar C4H10 CO2 CO C2H6 C2H4 He H2 CH4 Ne N2 C8H18 O2 C3H8 H2O Gas constant, R Btu/lbm?R 0.06855 0.04971 0.03424 0.04513 0.07090 0.06616 0.07079 0.4961 0.9851 0.1238 0.09840 0.07090 0.01742 0.06206 0.04504 0.1102 cp Btu/lbm?R 0.240 0.1253 0.415 0.203 0.249 0.427 0.411 1.25 3.43 0.532 0.246 0.248 0.409 0.219 0.407 0.445 c Btu/lbm?R k 0.171 0.0756 0.381 0.158 0.178 0.361 0.340 0.753 2.44 0.403 0.1477 0.177 0.392 0.157 0.362 0.335 1.400 1.667 1.09 1.285 1.399 1.183 1.208 1.667 1.404 1.32 1.667 1.400 1.044 1.395 1.124 1.329 v Source of Data: Gordon J. Van Wylen and Richard E. Sonntag, Fundamentals of Classical Thermodynamics, English/SI Version, 3rd ed. (New York: John Wiley & Sons, 1986), p. 687, Table A–8E. 950 PROPERTY TABLES AND CHARTS TABLE A–2E Ideal-gas specific heats of various common gases (Continued ) (b) At various temperatures Temp., 8F cp Btu/lbm?R c Btu/lbm?R v k cp Btu/lbm?R Air c Btu/lbm?R v k Carbon dioxide, C02 40 100 200 300 400 500 600 700 800 900 1000 1500 2000 0.240 0.240 0.241 0.243 0.245 0.248 0.250 0.254 0.257 0.259 0.263 0.276 0.286 0.171 0.172 0.173 0.174 0.176 0.179 0.182 0.185 0.188 0.191 0.195 0.208 0.217 Hydrogen , H2 1.401 1.400 1.397 1.394 1.389 1.383 1.377 1.371 1.365 1.358 1.353 1.330 1.312 0.195 0.205 0.217 0.229 0.239 0.247 0.255 0.262 0.269 0.275 0.280 0.298 0.312 40 100 200 3.397 3.426 3.451 2.412 2.441 2.466 1.409 1.404 1.399 0.248 0.248 0.249 0.150 1.300 0.160 1.283 0.172 1.262 0.184 1.246 0.193 1.233 0.202 1.223 0.210 1.215 0.217 1.208 0.224 1.202 0.230 1.197 0.235 1.192 0.253 1.178 0.267 1.169 Nitrogen , N2 0.177 0.178 0.178 1.400 1.399 1.398 cp Btu/lbm?R c Btu/lbm?R v k Carbon monoxide, CO 0.248 0.249 0.249 0.251 0.253 0.256 0.259 0.262 0.266 0.269 0.273 0.287 0.297 0.177 0.178 0.179 0.180 0.182 0.185 0.188 0.191 0.195 0.198 0.202 0.216 0.226 Oxygen , O2 1.400 1.399 1.397 1.394 1.389 1.384 1.377 1.371 1.364 1.357 1.351 1.328 1.314 0.219 0.220 0.223 0.156 0.158 0.161 1.397 1.394 1.387 951 APPENDIX 2 TABLE A–2E Ideal-gas specific heats of various common gases (Concluded) (c) As a function of temperature c#p 5 a 1 bT 1 cT 2 1 dT 3 (T in R, cp in Btu/lbmol?R) Temperature Substance Formula Nitrogen Oxygen Air Hydrogen Carbon monoxide Carbon dioxide Water vapor Nitric oxide Nitrous oxide Nitrogen dioxide Ammonia Sulfur Sulfur dioxide Sulfur trioxide Acetylene Benzene Methanol N2 O2 — H2 CO CO2 H2O NO N2O NO2 NH3 S2 SO2 SO3 C2H2 C6H6 CH4O a 6.903 6.085 6.713 6.952 6.726 5.316 7.700 7.008 5.758 5.48 6.5846 6.499 6.157 3.918 5.21 28.650 4.55 range, R b c d 1022 0.2017 3 1022 0.02609 3 1022 20.02542 3 1022 0.02222 3 1022 0.79361 3 1022 0.02552 3 1022 20.01247 3 1022 0.7780 3 1022 0.7583 3 1022 0.34028 3 1022 0.2943 3 1022 0.7689 3 1022 1.935 3 1022 1.2227 3 1022 6.4322 3 1022 1.214 3 1022 0.05957 3 1025 20.05275 3 1025 0.03540 3 1025 0.02952 3 1025 0.03960 3 1025 20.2581 3 1025 0.07781 3 1025 0.07185 3 1025 20.2596 3 1025 20.260 3 1025 0.073034 3 1025 20.1200 3 1025 20.2810 3 1025 20.8256 3 1025 20.4812 3 1025 22.327 3 1025 20.0898 3 1025 1029 0.05372 3 1029 20.08052 3 1029 20.03565 3 1029 20.09100 3 1029 0.3059 3 1029 20.1472 3 1029 20.1715 3 1029 0.4331 3 1029 0.322 3 1029 20.27402 3 1029 0.1632 3 1029 0.3527 3 1029 1.328 3 1029 0.7457 3 1029 3.179 3 1029 20.329 3 1029 2 5 9 20.02085 3 20.1176 3 491-3240 491-3240 491-3240 491-3240 491-3240 491-3240 491-3240 491-2700 491-2700 491-2700 491-2700 491-3240 491-3240 491-2340 491-2700 491-2700 491-1800 % error Max. Avg. 0.59 1.19 0.72 1.02 0.89 0.67 0.53 0.97 0.59 0.46 0.91 0.99 0.45 0.29 1.46 0.34 0.18 0.34 0.28 0.33 0.26 0.37 0.22 0.24 0.36 0.26 0.18 0.36 0.38 0.24 0.13 0.59 0.20 0.08 952 PROPERTY TABLES AND CHARTS TABLE A–3E Properties of common liquids, solids, and foods (a) Liquids Boiling data at 1 atm Substance Ammonia Argon Benzene Brine (20% sodium chloride by mass) n-Butane Carbon dioxide Ethanol Ethyl alcohol Ethylene glycol Glycerine Helium Hydrogen Normal boiling point, 8F 227.9 2302.6 176.4 219.0 31.1 2109.2* 172.8 173.5 388.6 355.8 2452.1 423.0 Latent heat of vaporization, hfg Btu/lbm 24.54 69.5 169.4 — 165.6 99.6 (at 328F) 360.5 368 344.0 419 9.80 191.7 Freezing data Freezing point, 8F 2107.9 2308.7 41.9 0.7 2217.3 269.8 2173.6 2248.8 12.6 66.0 — 434.5 Liquid properties Latent heat of fusion, hif Btu/lbm Temperature, 8F Density, r lbm/ft3 Specific heat, cp Btu/lbm?R 138.6 227.9 12.0 54.2 0 40 80 2302.6 68 42.6 41.3 39.5 37.5 87.0 54.9 1.06 1.083 1.103 1.135 0.272 0.411 — 34.5 — 46.9 46.4 77.9 86.3 — 25.6 68 31.1 32 77 68 68 68 2452.1 423.0 71.8 37.5 57.8 48.9 49.3 69.2 78.7 9.13 4.41 0.743 0.552 0.583 0.588 0.678 0.678 0.554 5.45 2.39 953 APPENDIX 2 TABLE A–3E Properties of common liquids, solids, and foods (Concluded ) (b) Solids (values are for room temperature unless indicated otherwise) Substance Density, r lbm/ft3 Specific heat, cp Btu/lbm?R Metals Aluminum 21008F 328F 1008F 2008F 3008F 4008F 5008F Bronze (76% Cu, 2% Zn, 2% Al) Brass, yellow (65% Cu, 35% Zn) Copper 2608F 08F 1008F 2008F 3908F Substance Density, r lbm/ft3 Specific heat, cp Btu/lbm?R Nonmetals 517 0.192 0.212 0.218 0.224 0.229 0.235 0.240 0.0955 519 0.0955 555 0.0862 0.0893 0.0925 0.0938 0.0963 170 Asphalt Brick, common Brick, fireclay (5008C) Concrete Clay Diamond Glass, window Glass, pyrex Graphite Granite Gypsum or plaster board Ice 2508F 08F 208F 328 F Limestone Marble 162 132 120 144 144 62.4 151 169 139 156 169 50 57.5 103 0.210 0.220 0.189 0.229 0.156 0.220 0.147 0.191 0.200 0.170 0.243 0.260 0.424 0.471 0.491 0.502 0.217 954 PROPERTY TABLES AND CHARTS TABLE A–4E Saturated water—Temperature table Specific volume, ft3/lbm Temp., T 8F Sat. press., Psat psia 32.018 0.08871 Sat. liquid, Sat. vapor, vf vg Internal energy, Btu/lbm Sat. liquid, uf Enthalpy, Btu/lbm Entropy, Btu/lbm ?R Evap., ufg Sat. vapor, ug Sat. liquid, hf Evap., hfg Sat. vapor, hg Sat. liquid, sf Evap., sfg Sat. vapor, sg 35 40 45 50 0.09998 0.12173 0.14756 0.17812 0.01602 0.01602 0.01602 0.01602 0.01602 3299.9 2945.7 2443.6 2035.8 1703.1 0.000 3.004 8.032 13.05 18.07 1021.0 1019.0 1015.6 1012.2 1008.9 1021.0 1022.0 1023.7 1025.3 1026.9 0.000 3.004 8.032 13.05 18.07 1075.2 1073.5 1070.7 1067.8 1065.0 1075.2 1076.5 1078.7 1080.9 1083.1 0.00000 0.00609 0.01620 0.02620 0.03609 2.18672 2.17011 2.14271 2.11587 2.08956 2.1867 2.1762 2.1589 2.1421 2.1256 55 60 65 70 75 0.21413 0.25638 0.30578 0.36334 0.43016 0.01603 0.01604 0.01604 0.01605 0.01606 1430.4 1206.1 1020.8 867.18 739.27 23.07 28.08 33.08 38.08 43.07 1005.5 1002.1 998.76 995.39 992.02 1028.6 1030.2 1031.8 1033.5 1035.1 23.07 28.08 33.08 38.08 43.07 1062.2 1059.4 1056.5 1053.7 1050.9 1085.3 1087.4 1089.6 1091.8 1093.9 0.04586 0.05554 0.06511 0.07459 0.08398 2.06377 2.03847 2.01366 1.98931 1.96541 2.1096 2.0940 2.0788 2.0639 2.0494 80 85 90 95 100 0.50745 0.59659 0.69904 0.81643 0.95052 0.01607 0.01609 0.01610 0.01612 0.01613 632.41 542.80 467.40 403.74 349.83 48.06 53.06 58.05 63.04 68.03 988.65 985.28 981.90 978.52 975.14 1036.7 1038.3 1040.0 1041.6 1043.2 48.07 53.06 58.05 63.04 68.03 1048.0 1045.2 1042.4 1039.5 1036.7 1096.1 1098.3 1100.4 1102.6 1104.7 0.09328 0.10248 0.11161 0.12065 0.12961 1.94196 1.91892 1.89630 1.87408 1.85225 2.0352 2.0214 2.0079 1.9947 1.9819 110 120 130 140 1.2767 1.6951 2.2260 2.8931 0.01617 0.01620 0.01625 0.01629 264.96 202.94 157.09 122.81 78.01 88.00 97.99 107.98 968.36 961.56 954.73 947.87 1046.4 1049.6 1052.7 1055.9 78.02 88.00 97.99 107.99 1031.0 1025.2 1019.4 1013.6 1109.0 1113.2 1117.4 1121.6 0.14728 0.16466 0.18174 0.19855 1.80970 1.76856 1.72877 1.69024 1.9570 1.9332 1.9105 1.8888 955 APPENDIX 2 TABLE A–4E Saturated water—Temperature table (Concluded) Specific volume, ft3/lbm Temp., T 8F Sat. press., Psat psia 400 410 420 430 440 247.26 276.69 308.76 343.64 381.49 0.01864 0.01878 0.01894 0.01910 0.01926 450 460 470 480 490 422.47 466.75 514.52 565.96 621.24 500 510 520 530 540 680.56 744.11 812.11 884.74 962.24 550 560 570 580 1044.8 1132.7 1226.2 1325.5 Sat. liquid, Sat. vapor, vf vg Internal energy, Btu/lbm Enthalpy, Btu/lbm Entropy, Btu/lbm ?R Sat. liquid, uf Evap., ufg Sat. vapor, ug Sat. liquid, hf Evap., hfg Sat. vapor, hg Sat. liquid, sf Evap., sfg Sat. vapor, sg 1.8639 1.6706 1.5006 1.3505 1.2178 374.19 384.94 395.76 406.65 417.61 741.97 732.14 722.08 711.80 701.26 1116.2 1117.1 1117.8 1118.4 1118.9 375.04 385.90 396.84 407.86 418.97 826.39 816.71 806.74 796.46 785.87 1201.4 1202.6 1203.6 1204.3 1204.8 0.56663 0.57907 0.59145 0.60377 0.61603 0.96127 0.93908 0.91707 0.89522 0.87349 1.5279 1.5182 1.5085 1.4990 1.4895 0.01944 0.01962 0.01981 0.02001 0.02022 1.0999 0.99510 0.90158 0.81794 0.74296 428.66 439.79 451.01 462.34 473.77 690.47 679.39 668.02 656.34 644.32 1119.1 1119.2 1119.0 1118.7 1118.1 430.18 441.48 452.90 464.43 476.09 774.94 763.65 751.98 739.91 727.40 1205.1 1205.1 1204.9 1204.3 1203.5 0.62826 0.64044 0.65260 0.66474 0.67686 0.85187 0.83033 0.80885 0.78739 0.76594 1.4801 1.4708 1.4615 1.4521 1.4428 0.02044 0.02067 0.02092 0.02118 0.02146 0.67558 0.61489 0.56009 0.51051 0.46553 485.32 496.99 508.80 520.76 532.88 631.94 619.17 605.99 592.35 578.23 1117.3 1116.2 1114.8 1113.1 1111.1 487.89 499.84 511.94 524.23 536.70 714.44 700.99 687.01 672.47 657.31 1202.3 1200.8 1199.0 1196.7 1194.0 0.68899 0.70112 0.71327 0.72546 0.73770 0.74445 0.72290 0.70126 0.67947 0.65751 1.4334 1.4240 1.4145 1.4049 1.3952 0.02176 0.02207 0.02242 0.02279 0.42465 0.38740 0.35339 0.32225 545.18 557.68 570.40 583.37 563.58 548.33 532.45 515.84 1108.8 1106.0 1102.8 1099.2 549.39 562.31 575.49 588.95 641.47 624.91 607.55 589.29 1190.9 1187.2 1183.0 1178.2 0.75000 0.76238 0.77486 0.78748 0.63532 0.61284 0.59003 0.56679 1.3853 1.3752 1.3649 1.3543 956 PROPERTY TABLES AND CHARTS TABLE A–5E Saturated water—Pressure table Specific volume, ft3/lbm Sat. Sat. Sat. Internal energy, Btu/lbm Sat. Sat. Enthalpy, Btu/lbm Sat. Entropy, Btu/lbm ?R Sat. Sat. Sat. Press., temp., liquid, vapor, liquid, Evap., vapor, liquid, Evap., vapor, liquid, Evap., vapor, P psia Tsat 8F v v uf ufg ug hf hfg hg sf sfg sg 1 2 3 4 5 101.69 126.02 141.41 152.91 162.18 0.01614 0.01623 0.01630 0.01636 0.01641 333.49 173.71 118.70 90.629 73.525 69.72 94.02 109.39 120.89 130.17 973.99 957.45 946.90 938.97 932.53 1043.7 1051.5 1056.3 1059.9 1062.7 69.72 94.02 109.40 120.90 130.18 1035.7 1021.7 1012.8 1006.0 1000.5 1105.4 1115.8 1122.2 1126.9 1130.7 0.13262 0.17499 0.20090 0.21985 0.23488 1.84495 1.74444 1.68489 1.64225 1.60894 1.9776 1.9194 1.8858 1.8621 1.8438 6 8 10 14.696 15 170.00 182.81 193.16 211.95 212.99 0.01645 0.01652 0.01659 0.01671 0.01672 61.982 47.347 38.425 26.805 26.297 138.00 150.83 161.22 180.12 181.16 927.08 918.08 910.75 897.27 896.52 1065.1 1068.9 1072.0 1077.4 1077.7 138.02 150.86 161.25 180.16 181.21 995.88 988.15 981.82 970.12 969.47 1133.9 1139.0 1143.1 1150.3 1150.7 0.24739 0.26757 0.28362 0.31215 0.31370 1.58155 1.53800 1.50391 1.44441 1.44441 1.8289 1.8056 1.7875 1.7566 1.7549 20 25 30 35 40 227.92 240.03 250.30 259.25 267.22 0.01683 0.01692 0.01700 0.01708 0.01715 20.093 16.307 13.749 11.901 10.501 196.21 208.45 218.84 227.92 236.02 885.63 876.67 868.98 862.19 856.09 1081.8 1085.1 1087.8 1090.1 1092.1 196.27 208.52 218.93 228.03 236.14 959.93 952.03 945.21 939.16 933.69 1156.2 1160.6 1164.1 1167.2 1169.8 0.33582 0.35347 0.36821 0.38093 0.39213 1.39606 1.36060 1.33132 1.30632 1.28448 1.7319 1.7141 1.6995 1.6872 1.6766 45 50 55 60 274.41 280.99 287.05 292.69 0.01721 0.01727 0.01732 0.01738 243.34 250.05 256.25 262.01 850.52 845.39 840.61 836.13 1093.9 1095.4 1096.9 1098.1 243.49 250.21 256.42 262.20 928.68 924.03 919.70 915.61 1172.2 1174.2 1176.1 1177.8 0.40216 0.41125 0.41958 0.42728 1.26506 1.24756 1.23162 1.21697 1.6672 1.6588 1.6512 1.6442 f g 9.4028 8.5175 7.7882 7.1766 957 APPENDIX 2 TABLE A–5E Saturated water—Pressure table (Concluded) Specific volume, ft3/lbm Sat. Sat. Sat. Internal energy, Btu/lbm Sat. Enthalpy, Btu/lbm Sat. Sat. Entropy, Btu/lbm ?R Sat. Sat. Sat. Press., temp., liquid, vapor, liquid, Evap., vapor, liquid, Evap., vapor, liquid, Evap., vapor, P psia Tsat 8F v v uf ufg ug hf hfg hg sf sfg sg 900 1000 1200 532.02 544.65 567.26 0.02124 0.02159 0.02232 0.50107 0.44604 0.36241 523.19 538.58 566.89 589.54 571.49 536.87 1112.7 1110.1 1103.8 526.73 542.57 571.85 669.46 650.03 612.39 1196.2 1192.6 1184.2 0.72793 0.74341 0.77143 0.67505 1.4030 0.64722 1.3906 0.59632 1.3677 1400 1600 1800 2000 2500 587.14 604.93 621.07 635.85 668.17 0.02307 0.02386 0.02470 0.02563 0.02860 0.30161 0.25516 0.21831 0.18815 0.13076 592.79 616.99 640.03 662.33 717.67 503.50 470.69 437.86 404.46 313.53 1096.3 1087.7 1077.9 1066.8 1031.2 598.76 624.06 648.26 671.82 730.90 575.66 539.18 502.35 464.60 360.79 1174.4 1163.2 1150.6 1136.4 1091.7 0.79658 0.81972 0.84144 0.86224 0.91311 0.54991 0.50645 0.46482 0.42409 0.31988 3000 3200.1 695.41 705.10 0.03433 0.04975 0.08460 0.04975 783.39 866.61 186.41 0 969.8 866.6 802.45 896.07 214.32 0 1016.8 896.1 0.97321 1.05257 0.18554 1.1587 0 1.0526 f g 1.3465 1.3262 1.3063 1.2863 1.2330 958 PROPERTY TABLES AND CHARTS TABLE A–6E Superheated water T 8F u Btu/lbm v ft3/lbm P 5 Sat.† 333.49 200 392.53 240 416.44 280 440.33 320 464.20 360 488.07 400 511.92 440 535.77 500 571.54 600 631.14 700 690.73 800 750.31 1000 869.47 1200 988.62 1400 1107.8 Sat. 240 280 320 26.297 27.429 29.085 30.722 1.0 psia (101.698F)* 1043.7 1077.5 1091.2 1105.0 1118.9 1132.9 1147.1 1161.3 1182.8 1219.4 1256.8 1295.1 1374.2 1457.1 1543.7 P v h s Btu/lbm Btu/lbm?R ft3/lbm 5 1105.4 1150.1 1168.3 1186.5 1204.8 1223.3 1241.8 1260.4 1288.6 1336.2 1384.6 1433.9 1535.1 1640.0 1748.7 1.9776 2.0509 2.0777 2.1030 2.1271 2.1502 2.1722 2.1934 2.2237 2.2709 2.3146 2.3553 2.4299 2.4972 2.5590 v u h s Btu/lbm Btu/lbm Btu/lbm?R ft3/lbm P 73.525 78.153 83.009 87.838 92.650 97.452 102.25 107.03 114.21 126.15 138.09 150.02 173.86 197.70 221.54 15 psia (212.998F) 1077.7 1087.8 1102.4 1116.9 1150.7 1163.9 1183.2 1202.2 1.7549 1.7742 1.8010 1.8260 P 20.093 20.478 21.739 22.980 5 5.0 psia (162.188F) 1062.7 1076.2 1090.3 1104.3 1118.4 1132.5 1146.7 1160.9 1182.6 1219.2 1256.7 1294.9 1374.2 1457.0 1543.7 5 1130.7 1148.5 1167.1 1185.6 1204.1 1222.6 1241.3 1260.0 1288.2 1335.9 1384.4 1433.7 1535.0 1640.0 1748.7 1.8438 1.8716 1.8989 1.9246 1.9490 1.9722 1.9944 2.0156 2.0461 2.0933 2.1371 2.1778 2.2524 2.3198 2.3816 P 38.425 38.849 41.326 43.774 46.205 48.624 51.035 53.441 57.041 63.029 69.007 74.980 86.913 98.840 110.762 20 psia (227.928F) 1081.8 1086.5 1101.4 1116.1 1156.2 1162.3 1181.9 1201.2 1.7319 1.7406 1.7679 1.7933 u h s Btu/lbm Btu/lbm Btu/ lbm?R P 5 10 psia (193.168F) 1072.0 1074.5 1089.1 1103.4 1117.6 1131.9 1146.2 1160.5 1182.2 1219.0 1256.5 1294.8 1374.1 1457.0 1543.6 5 1143.1 1146.4 1165.5 1184.4 1203.1 1221.8 1240.6 1259.4 1287.8 1335.6 1384.2 1433.5 1534.9 1639.9 1748.6 1.7875 1.7926 1.8207 1.8469 1.8716 1.8950 1.9174 1.9388 1.9693 2.0167 2.0605 2.1013 2.1760 2.2433 2.3052 40 psia (267.228F) 10.501 1092.1 1169.8 1.6766 10.713 11.363 1097.3 1176.6 1112.9 1197.1 1.6858 1.7128 959 APPENDIX 2 TABLE A–6E Superheated water (Concluded) T 8F u Btu/lbm v ft3/lbm P 5 Sat. 3.7289 360 3.8446 400 4.0799 450 4.3613 500 4.6340 550 4.9010 600 5.1642 700 5.6829 800 6.1950 1000 7.2083 1200 8.2137 1400 9.2149 1600 10.2135 1800 11.2106 2000 12.2067 P Sat. 400 450 500 2.5322 2.6490 2.8514 3.0433 120 psia (341.258F) 1107.9 1116.7 1134.0 1154.5 1174.4 1193.9 1213.4 1252.2 1291.4 1371.7 1455.3 1542.3 1633.0 1727.2 1824.8 5 v h s Btu/lbm Btu/lbm?R ft3/lbm 1190.8 1202.1 1224.6 1251.4 1277.3 1302.8 1328.0 1378.4 1429.0 1531.8 1637.7 1746.9 1859.8 1976.1 2095.8 1.5883 1.6023 1.6292 1.6594 1.6872 1.7131 1.7375 1.7829 1.8247 1.9005 1.9684 2.0305 2.0881 2.1420 2.1928 180 psia (373.078F) 1113.0 1126.3 1148.7 1169.8 1197.3 1214.5 1243.7 1271.2 1.5548 1.5752 1.6082 1.6376 v u h s Btu/lbm Btu/lbm Btu/lbm?R ft3/lbm P 3.2202 3.2584 3.4676 3.7147 3.9525 4.1845 4.4124 4.8604 5.3017 6.1732 7.0367 7.8961 8.7529 9.6082 10.4624 P 2.2882 2.3615 2.5488 2.7247 5 140 psia (353.038F) 1109.9 1113.4 1131.5 1152.6 1172.9 1192.7 1212.3 1251.4 1290.8 1371.3 1455.0 1542.1 1632.8 1727.0 1824.6 5 1193.4 1197.8 1221.4 1248.9 1275.3 1301.1 1326.6 1377.3 1428.1 1531.3 1637.3 1746.6 1859.5 1975.9 2095.7 1.5757 1.5811 1.6092 1.6403 1.6686 1.6948 1.7195 1.7652 1.8072 1.8832 1.9512 2.0134 2.0711 2.1250 2.1758 200 psia (381.808F) 1114.1 1123.5 1146.7 1168.2 1198.8 1.5460 1210.9 1.5602 1241.0 1.5943 1269.0 1.6243 u h s Btu/lbm Btu/lbm Btu/ lbm?R P 5 160 psia (363.548F) 2.8347 1111.6 1195.5 1.5647 3.0076 3.2293 3.4412 3.6469 3.8484 4.2434 4.6316 5.3968 6.1540 6.9070 7.6574 8.4063 9.1542 1129.0 1150.7 1171.4 1191.4 1211.3 1250.6 1290.2 1370.9 1454.7 1541.8 1632.6 1726.9 1824.5 1.5914 1.6234 1.6522 1.6788 1.7037 1.7498 1.7920 1.8682 1.9363 1.9986 2.0563 2.1102 2.1610 P 2.0423 2.0728 2.2457 2.4059 5 1218.0 1246.3 1273.2 1299.4 1325.2 1376.3 1427.3 1530.7 1636.9 1746.3 1859.3 1975.7 2095.5 225 psia (391.808F) 1115.3 1119.7 1144.1 1166.2 1200.3 1206.0 1237.6 1266.3 1.5360 1.5427 1.5783 1.6091 960 PROPERTY TABLES AND CHARTS TABLE A–6E Superheated water (Continued) T 8F u Btu/lbm v ft3/lbm P Sat. 450 500 550 600 650 700 800 900 1000 1200 1400 1600 1800 2000 1.3263 1.3739 1.4921 1.6004 1.7030 1.8018 1.8979 2.0848 2.2671 2.4464 2.7996 3.1484 3.4947 3.8394 4.1830 350 psia (431.748F) 1118.5 1129.3 1155.2 1178.6 1200.6 1221.9 1242.8 1284.1 1325.3 1366.9 1451.7 1539.6 1630.8 1725.4 1823.3 P Sat. 500 550 600 5 0.92815 0.99304 1.07974 1.15876 5 v h s Btu/lbm Btu/lbm?R ft3/lbm 1204.4 1218.3 1251.9 1282.2 1310.9 1338.6 1365.8 1419.1 1472.2 1525.3 1633.0 1743.5 1857.1 1974.0 2094.2 1.4973 1.5128 1.5487 1.5795 1.6073 1.6328 1.6567 1.7009 1.7414 1.7791 1.8483 1.9111 1.9691 2.0233 2.0742 500 psia (467.048F) 1119.1 1140.1 1167.1 1191.4 1205.0 1231.9 1267.0 1298.6 1.4642 1.4928 1.5284 1.5590 v u h s Btu/lbm Btu/lbm Btu/lbm?R ft3/lbm P 1.1617 1.1747 1.2851 1.3840 1.4765 1.5650 1.6507 1.8166 1.9777 2.1358 2.4465 2.7527 3.0565 3.3586 3.6597 P 0.77020 0.79526 0.87542 0.94605 5 400 psia (444.628F) 1119.0 1205.0 1122.5 1209.4 1150.4 1245.6 1174.9 1277.3 1197.6 1306.9 1219.4 1335.3 1240.7 1362.9 1282.5 1417.0 1324.0 1470.4 1365.8 1523.9 1450.9 1632.0 1539.0 1742.7 1630.3 1856.5 1725.0 1973.6 1823.0 2093.9 5 1.4852 1.4901 1.5288 1.5610 1.5897 1.6158 1.6401 1.6849 1.7257 1.7636 1.8331 1.8960 1.9541 2.0084 2.0594 600 psia (486.248F) 1118.3 1128.2 1158.7 1184.9 1203.9 1216.5 1255.9 1289.9 1.4463 1.4596 1.4996 1.5325 u h s Btu/lbm Btu/lbm Btu/ lbm?R P 5 450 psia (456.318F) 1.0324 1119.2 1205.2 1.4742 1.1233 1.2152 1.3001 1.3807 1.4584 1.6080 1.7526 1.8942 2.1718 2.4450 2.7157 2.9847 3.2527 1145.4 1171.1 1194.6 1216.9 1238.5 1280.8 1322.7 1364.7 1450.1 1538.4 1629.8 1724.6 1822.6 1238.9 1272.3 1302.8 1331.9 1360.0 1414.7 1468.6 1522.4 1631.0 1742.0 1856.0 1973.2 2093.5 P 5 1.5103 1.5441 1.5737 1.6005 1.6253 1.6706 1.7117 1.7499 1.8196 1.8827 1.9409 1.9952 2.0462 700 psia (503.138F) 0.65589 1116.9 1201.9 1.4305 0.72799 1149.5 0.79332 1177.9 1243.8 1280.7 1.4730 1.5087 961 APPENDIX 2 TABLE A–6E Superheated water (Concluded) T 8F u Btu/lbm v ft3/lbm P Sat. 600 650 700 750 800 850 900 1000 1100 1200 1400 1600 1800 2000 5 0.27695 0.28189 0.33310 0.37198 0.40535 0.43550 0.46356 0.49015 0.54031 0.58781 0.63355 0.72172 0.80714 0.89090 0.97358 P Sat. 0.13076 650 700 0.16849 750 0.20327 1500 psia (596.268F) 1092.1 1097.2 1147.2 1183.6 1214.4 1242.2 1268.2 1293.1 1340.9 1387.3 1433.3 1525.7 1619.8 1716.4 1815.9 5 v h s Btu/lbm Btu/lbm?R ft3/lbm 1169.0 1175.4 1239.7 1286.9 1326.9 1363.1 1396.9 1429.2 1490.8 1550.5 1609.2 1726.0 1843.8 1963.7 2086.1 1.3362 1.3423 1.4016 1.4433 1.4771 1.5064 1.5328 1.5569 1.6007 1.6402 1.6767 1.7432 1.8033 1.8589 1.9108 2500 psia (668.178F) P v u h s Btu/lbm Btu/lbm Btu/lbm?R ft3/lbm 5 1750 psia (617.178F) u h s Btu/lbm Btu/lbm Btu/ lbm?R P 5 2000 psia (635.858F) 0.22681 1080.5 1153.9 1.3112 0.18815 1066.8 1136.4 1.2863 0.26292 0.30252 0.33455 0.36266 0.38835 0.41238 0.45719 0.49917 0.53932 0.61621 0.69031 0.76273 0.83406 1207.9 1264.7 1309.8 1349.1 1385.1 1419.0 1482.9 1544.1 1603.9 1722.1 1840.9 1961.5 2084.3 0.20586 0.24894 0.28074 0.30763 0.33169 0.35390 0.39479 0.43266 0.46864 0.53708 0.60269 0.66660 0.72942 1167.6 1239.8 1291.3 1334.3 1372.8 1408.5 1474.9 1537.6 1598.5 1718.3 1838.0 1959.2 2082.6 1.3146 1.3783 1.4218 1.4567 1.4867 1.5134 1.5606 1.6021 1.6400 1.7081 1.7693 1.8255 1.8778 P 1122.8 1166.8 1201.5 1231.7 1259.3 1285.4 1334.9 1382.4 1429.2 1522.6 1617.4 1714.5 1814.2 5 1.3607 1.4108 1.4489 1.4807 1.5088 1.5341 1.5796 1.6201 1.6572 1.7245 1.7852 1.8410 1.8931 3000 psia (695.418F) 1031.2 1091.7 1.2330 0.08460 1098.4 1154.9 1176.3 1.3072 1249.0 1.3686 0.09838 1005.3 0.14840 1114.1 1091.4 1147.6 1187.4 1220.5 1250.0 1277.5 1328.7 1377.5 1425.1 1519.5 1615.0 1712.5 1812.6 P 5 3500 psia 969.8 1016.8 1.1587 1059.9 1.1960 1196.5 1.3118 0.02492 0.03065 0.10460 663.7 679.9 0.8632 760.0 779.9 0.9511 1057.6 1125.4 1.2434 962 PROPERTY TABLES AND CHARTS TABLE A–7E Compressed liquid water T 8F P Sat. 32 50 100 150 200 250 300 350 400 450 500 550 5 0.019750 0.015994 0.015998 0.016107 0.016317 0.016607 0.016972 0.017417 0.017954 0.018609 0.019425 P Sat. 32 50 100 200 300 u h s Btu/lbm Btu/lbm Btu/lbm?R v ft3/lbm 5 500 psia (467.048F) 447.68 0.01 18.03 67.86 117.70 167.70 218.04 268.92 320.64 373.61 428.44 449.51 1.49 19.51 69.35 119.21 169.24 219.61 270.53 322.30 375.33 430.24 0.64900 0.00001 0.03601 0.12930 0.21462 0.29349 0.36708 0.43641 0.50240 0.56595 0.62802 2000 psia (635.858F) 0.025634 662.33 671.82 0.86224 0.015912 0.07 5.96 0.00010 0.015921 17.91 23.80 0.03574 0.016035 67.36 73.30 0.12838 0.016527 166.54 172.66 0.29170 0.017310 266.92 273.33 0.43376 u h s Btu/lbm Btu/lbm Btu/lbm?R v ft3/lbm P 5 1000 psia (544.658F) 0.021595 0.015966 0.015972 0.016083 0.016292 0.016580 0.016941 0.017380 0.017910 0.018552 0.019347 0.020368 P 5 538.58 542.57 0.74341 0.03 2.99 0.00005 17.99 20.95 0.03593 67.69 70.67 0.12899 117.42 120.43 0.21416 167.31 170.38 0.29289 217.51 220.65 0.36634 268.24 271.46 0.43551 319.77 323.08 0.50132 372.48 375.91 0.56463 426.93 430.51 0.62635 484.03 487.80 0.68764 u h Btu/lbm Btu/lbm v ft3/lbm P 5 1500 psia (596.268F) 0.023456 605.07 611.58 0.80836 0.015939 0.05 4.48 0.00008 0.015946 17.95 22.38 0.03584 0.016059 67.53 71.98 0.12869 0.016267 117.14 121.66 0.21369 0.016553 166.92 171.52 0.29229 0.016911 217.00 221.69 0.36560 0.017345 267.57 272.39 0.43463 0.017866 318.91 323.87 0.50025 0.018496 371.37 376.51 0.56333 0.019271 425.47 430.82 0.62472 0.020258 482.01 487.63 0.68550 0.021595 542.50 548.50 0.74731 3000 psia (695.418F) 0.034335 783.39 802.45 0.97321 0.015859 0.10 8.90 0.00011 0.015870 17.83 26.64 0.03554 0.015988 67.04 75.91 0.12776 0.016475 165.79 174.94 0.29053 0.017242 265.65 275.22 0.43204 s Btu/lbm?R P 0.015756 0.015773 0.015897 0.016375 0.017112 5 5000 psia 0.13 14.71 17.65 32.25 66.41 81.12 164.36 179.51 263.24 279.07 0.00002 0.03505 0.12652 0.28824 0.42874 963 APPENDIX 2 TABLE A–8E Saturated ice—water vapor Specific volume, ft3/lbm Temp., T 8F Sat. press., Psat psia Sat. ice, Sat. vapor, v v 32.018 32 30 25 20 15 10 5 0 25 210 215 220 225 230 235 240 0.08871 0.08864 0.08086 0.06405 0.05049 0.03960 0.03089 0.02397 0.01850 0.01420 0.01083 0.00821 0.00619 0.00463 0.00344 0.00254 0.00186 0.01747 3299.6 0.01747 3302.6 0.01747 3605.8 0.01746 4505.8 0.01746 5657.6 0.01745 7138.9 0.01744 9054.0 0.01743 11,543 0.01743 14,797 0.01742 19,075 0.01741 24,731 0.01740 32,257 0.01740 42,335 0.01739 55,917 0.01738 74,345 0.01738 99,526 0.01737 134,182 i g Internal energy, Btu/lbm Sat. ice, ui 2143.34 2143.35 2144.35 2146.85 2149.32 2151.76 2154.18 2156.57 2158.94 2161.28 2163.60 2165.90 2168.16 2170.41 2172.63 2174.83 2177.00 Enthalpy, Btu/lbm Subl., uig Sat. vapor, ug Sat. ice, hi 1164.2 1164.2 1164.6 1165.4 1166.2 1167.0 1167.8 1168.5 1169.2 1169.9 1170.6 1171.2 1171.8 1172.4 1173.0 1173.5 1174.0 1020.9 1020.9 1020.2 1018.6 1016.9 1015.2 1013.6 1011.9 1010.3 1008.6 1007.0 1005.3 1003.6 1002.0 1000.3 998.7 997.0 2143.34 2143.35 2144.35 2146.85 2149.32 2151.76 2154.18 2156.57 2158.94 2161.28 2163.60 2165.90 2168.16 2170.41 2172.63 2174.83 2177.00 Entropy, Btu/Ibm?R Subl., hig Sat. vapor, hg Sat. ice, si 1218.3 1218.4 1218.5 1218.8 1219.1 1219.3 1219.5 1219.7 1219.9 1220.0 1220.1 1220.2 1220.3 1220.3 1220.3 1220.3 1220.3 1075.0 1075.0 1074.2 1072.0 1069.8 1067.6 1065.4 1063.1 1060.9 1058.7 1056.5 1054.3 1052.1 1049.9 1047.7 1045.5 1043.3 20.29146 20.29148 20.29353 20.29865 20.30377 20.30889 20.31401 20.31913 20.32426 20.32938 20.33451 20.33964 20.34478 20.34991 20.35505 20.36019 20.36534 Subl., sig Sat. vapor, sg 2.4779 2.4779 2.4883 2.5146 2.5414 2.5687 2.5965 2.6248 2.6537 2.6832 2.7133 2.7440 2.7754 2.8074 2.8401 2.8735 2.9076 2.1864 2.1865 2.1948 2.2160 2.2376 2.2598 2.2825 2.3057 2.3295 2.3538 2.3788 2.4044 2.4306 2.4575 2.4850 2.5133 2.5423 965 APPENDIX 2 Entropy, Btu/lbm·R 1.5 1.6 1.7 1.8 1.9 2.0 2.1 1100°F 2.2 1600 ia s p 0 1 0 0 ,0 5 0 0 0 1550 4 0 2 3 1000 0 0 2 0 0 0 1 0 0 0 5 1500 900 0 0 3 2 0 0 1450 800 1 700°F 0 0 5 0 a si p 1400 0 2 1350 600 0 1 1300 500 8 6 5 1250 4 400 3 300 2 ia ps 1200 0 1. m lb / u t B , y p l a h t n E 966 PROPERTY TABLES AND CHARTS TABLE A–11E Saturated refrigerant-134a—Temperature table Specific volume, ft3/lbm Sat. Temp., press., T 8F Psat psia 240 235 230 225 220 215 210 25 0 5 10 15 20 25 30 35 40 45 50 7.432 8.581 9.869 11.306 12.906 14.680 16.642 18.806 21.185 23.793 26.646 29.759 33.147 36.826 40.813 45.124 49.776 54.787 60.175 Sat. liquid, Sat. vapor, vf vg 0.01130 0.01136 0.01143 0.01149 0.01156 0.01163 0.01170 0.01178 0.01185 0.01193 0.01200 0.01208 0.01216 0.01225 0.01233 0.01242 0.01251 0.01261 0.01270 5.7769 5.0489 4.4286 3.8980 3.4424 3.0495 2.7097 2.4146 2.1575 1.9328 1.7358 1.5625 1.4097 1.2746 1.1548 1.0482 0.95323 0.86837 0.79236 Internal energy, Btu/lbm Sat. liquid, uf 20.016 1.483 2.987 4.497 6.014 7.536 9.065 10.601 12.143 13.693 15.249 16.813 18.384 19.963 21.550 23.145 24.749 26.361 27.983 Evap., ufg Sat. vapor, ug Enthalpy, Btu/lbm Sat. liquid, hf 89.174 89.16 0.000 88.360 89.84 1.501 87.542 90.53 3.008 86.717 91.21 4.522 85.887 91.90 6.041 85.050 92.59 7.568 84.206 93.27 9.102 83.355 93.96 10.642 82.496 94.64 12.190 81.628 95.32 13.745 80.751 96.00 15.308 79.865 96.68 16.879 78.969 97.35 18.459 78.062 98.03 20.047 77.144 98.69 21.643 76.214 99.36 23.249 75.272 100.02 24.864 74.317 100.68 26.489 73.347 101.33 28.124 Entropy, Btu/lbm?R Evap., hfg Sat. vapor, hg Sat. liquid, sf Evap., sfg 97.104 96.360 95.608 94.849 94.080 93.303 92.515 91.717 90.907 90.085 89.251 88.403 87.541 86.665 85.772 84.863 83.937 82.993 82.029 97.10 97.86 98.62 99.37 100.12 100.87 101.62 102.36 103.10 103.83 104.56 105.28 106.00 106.71 107.42 108.11 108.80 109.48 110.15 0.00000 0.00355 0.00707 0.01057 0.01404 0.01748 0.02090 0.02430 0.02767 0.03103 0.03436 0.03767 0.04097 0.04424 0.04750 0.05074 0.05397 0.05718 0.06038 0.23136 0.22689 0.22250 0.21819 0.21396 0.20981 0.20572 0.20171 0.19775 0.19385 0.19001 0.18623 0.18249 0.17880 0.17515 0.17154 0.16797 0.16443 0.16093 Sat. vapor, sg 0.23136 0.23044 0.22957 0.22876 0.22800 0.22729 0.22662 0.22600 0.22542 0.22488 0.22437 0.22390 0.22345 0.22304 0.22265 0.22228 0.22194 0.22162 0.22131 967 APPENDIX 2 TABLE A–12E Saturated refrigerant-134a—Pressure table Specific volume, ft3/lbm Sat. Press., temp., P psia Tsat 8F Sat. liquid, Sat. vapor, vf vg 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 110 0.01113 0.01143 0.01164 0.01181 0.01196 0.01209 0.01221 0.01232 0.01242 0.01252 0.01261 0.01270 0.01278 0.01287 0.01295 0.01303 0.01310 0.01318 0.01325 0.01332 0.01346 8.3740 4.3740 2.9882 2.2781 1.8442 1.5506 1.3382 1.1773 1.0510 0.94909 0.86509 0.79462 0.73462 0.68290 0.63784 0.59822 0.56309 0.53173 0.50356 0.47811 0.43390 253.09 229.52 214.15 22.43 7.17 15.37 22.57 29.01 34.86 40.23 45.20 49.84 54.20 58.30 62.19 65.89 69.41 72.78 76.02 79.12 85.00 Internal energy, Btu/lbm Sat. liquid, uf 23.914 3.132 7.796 11.393 14.367 16.929 19.195 21.236 23.101 24.824 26.428 27.932 29.351 30.696 31.975 33.198 34.369 35.494 36.577 37.623 39.614 Evap., ufg Sat. vapor, ug 91.283 87.463 84.907 82.915 81.249 79.799 78.504 77.326 76.240 75.228 74.277 73.378 72.523 71.705 70.921 70.167 69.438 68.733 68.048 67.383 66.102 87.37 90.59 92.70 94.31 95.62 96.73 97.70 98.56 99.34 100.05 100.70 101.31 101.87 102.40 102.90 103.36 103.81 104.23 104.63 105.01 105.72 Enthalpy, Btu/lbm Sat. liquid, hf 23.903 3.153 7.828 11.436 14.422 16.996 19.274 21.327 23.205 24.939 26.556 28.073 29.505 30.862 32.155 33.391 34.575 35.713 36.810 37.870 39.888 Entropy, Btu/lbm?R Evap., hfg Sat. vapor, hg 99.021 95.536 93.170 91.302 89.725 88.340 87.093 85.950 84.889 83.894 82.954 82.060 81.205 80.385 79.594 78.830 78.089 77.369 76.668 75.984 74.660 95.12 98.69 101.00 102.74 104.15 105.34 106.37 107.28 108.09 108.83 109.51 110.13 110.71 111.25 111.75 112.22 112.66 113.08 113.48 113.85 114.55 Sat. liquid, sf 20.00944 0.00741 0.01806 0.02603 0.03247 0.03792 0.04265 0.04686 0.05065 0.05412 0.05732 0.06028 0.06306 0.06567 0.06813 0.07047 0.07269 0.07481 0.07684 0.07879 0.08247 Evap., sfg Sat. vapor, sg 0.24353 0.22208 0.20911 0.19967 0.19218 0.18595 0.18058 0.17586 0.17164 0.16780 0.16429 0.16104 0.15801 0.15518 0.15251 0.14998 0.14758 0.14529 0.14311 0.14101 0.13706 0.23409 0.22949 0.22717 0.22570 0.22465 0.22386 0.22324 0.22272 0.22229 0.22192 0.22160 0.22132 0.22107 0.22084 0.22064 0.22045 0.22027 0.22011 0.21995 0.21981 0.21953 968 PROPERTY TABLES AND CHARTS TABLE A–13E Superheated refrigerant-134a T 8F P Sat. 220 0 20 40 60 80 100 120 140 160 180 200 220 5 10 psia (Tsat 4.3740 4.4856 4.7135 4.9380 5.1600 5.3802 5.5989 5.8165 6.0331 6.2490 6.4642 6.6789 6.8930 7.1068 P Sat. 20 40 60 80 u h s Btu/lbm Btu/lbm Btu/lbm?R v ft3/lbm 5 90.59 92.14 95.42 98.77 102.21 105.73 109.33 113.02 116.80 120.66 124.62 128.66 132.78 136.99 5 229.528F) 98.69 100.44 104.14 107.91 111.76 115.68 119.69 123.78 127.96 132.23 136.58 141.01 145.54 150.14 30 psia (Tsat 1.5506 96.73 1.5691 97.56 1.6528 101.18 1.7338 104.83 1.8130 108.54 5 0.22949 0.23351 0.24175 0.24978 0.25763 0.26533 0.27290 0.28035 0.28768 0.29492 0.30205 0.30910 0.31606 0.32293 15.378F) 105.34 106.27 110.35 114.45 118.60 0.22386 0.22583 0.23416 0.24220 0.25003 u Btu/lbm v ft3/lbm P 5 h s Btu/lbm Btu/lbm?R 15 psia (Tsat 5 214.158F) u Btu/lbm v ft3/lbm P 5 h s Btu/lbm Btu/lbm?R 20 psia (Tsat 5 22.438F) 2.9882 92.70 101.00 0.22717 2.2781 94.31 102.74 0.22570 3.1001 3.2551 3.4074 3.5577 3.7064 3.8540 4.0006 4.1464 4.2915 4.4361 4.5802 4.7239 95.08 98.49 101.96 105.51 109.14 112.85 116.64 120.52 124.49 128.53 132.67 136.89 103.69 107.52 111.42 115.38 119.42 123.54 127.75 132.03 136.40 140.85 145.38 150.00 0.23312 0.24129 0.24924 0.25702 0.26465 0.27214 0.27952 0.28678 0.29395 0.30102 0.30800 0.31489 2.2922 2.4130 2.5306 2.6461 2.7600 2.8726 2.9842 3.0950 3.2051 3.3146 3.4237 3.5324 94.73 98.19 101.71 105.29 108.94 112.67 116.48 120.38 124.35 128.41 132.56 136.78 103.21 107.12 111.07 115.08 119.15 123.30 127.53 131.83 136.22 140.68 145.23 149.86 0.22673 0.23506 0.24313 0.25099 0.25868 0.26623 0.27364 0.28094 0.28814 0.29523 0.30223 0.30914 P 5 40 psia (Tsat 5 29.018F) P 5 50 psia (Tsat 5 40.238F) 1.1773 98.56 107.28 0.22272 0.9491 100.05 108.83 0.22192 1.2126 1.2768 1.3389 100.61 104.35 108.12 109.59 113.80 118.03 0.22740 0.23567 0.24365 1.0019 1.0540 103.85 113.12 107.69 117.44 0.23033 0.23849 969 APPENDIX 2 TABLE A–13E Superheated refrigerant-134a (Concluded ) T 8F P Sat. 80 100 120 140 160 180 200 220 240 260 280 300 320 5 90 psia (Tsat 0.53173 0.54388 0.57729 0.60874 0.63885 0.66796 0.69629 0.72399 0.75119 0.77796 0.80437 0.83048 0.85633 0.88195 P Sat. 120 140 160 180 u h s Btu/lbm Btu/lbm Btu/lbm?R v ft3/lbm 5 104.23 105.75 109.91 114.05 118.20 122.39 126.63 130.92 135.28 139.70 144.19 148.75 153.39 158.09 72.788F) P 113.08 0.22011 114.81 0.22332 119.53 0.23191 124.19 0.24009 128.84 0.24799 133.51 0.25565 138.22 0.26313 142.98 0.27045 147.79 0.27763 152.66 0.28469 157.59 0.29164 162.58 0.29849 167.65 0.30524 172.78 0.31191 0.47811 0.47906 0.51076 0.54022 0.56821 0.59513 0.62122 0.64667 0.67158 0.69605 0.72016 0.74396 0.76749 0.79079 140 psia (Tsat 0.33800 0.36243 0.38551 0.40711 0.42766 107.52 111.97 116.42 120.82 125.23 u Btu/lbm v ft3/lbm 5 5 100 psia (Tsat 100.518F) P 116.28 0.21883 121.36 0.22775 126.40 0.23630 131.37 0.24444 136.31 0.25229 0.29339 0.30578 0.32774 0.34790 0.36686 5 5 h s Btu/lbm Btu/lbm?R 105.01 105.19 109.46 113.66 117.86 122.09 126.36 130.68 135.05 139.50 144.00 148.58 153.22 157.94 79.128F) 113.85 114.06 118.91 123.66 128.38 133.10 137.85 142.64 147.48 152.38 157.33 162.34 167.42 172.57 160 psia (Tsat 108.51 111.01 115.63 120.14 124.63 5 5 0.21981 0.22018 0.22902 0.23735 0.24535 0.25310 0.26065 0.26802 0.27525 0.28234 0.28932 0.29620 0.30297 0.30966 109.508F) 117.20 120.07 125.33 130.44 135.49 0.21840 0.22339 0.23232 0.24070 0.24872 u h s Btu/lbm Btu/lbm Btu/lbm?R v ft3/lbm P 5 120 psia (Tsat 5 90.498F) 0.39681 106.37 115.18 0.41013 0.43692 0.46190 0.48563 0.50844 0.53054 0.55206 0.57312 0.59379 0.61413 0.63420 0.65402 P 5 108.49 112.85 117.16 121.47 125.80 130.18 134.60 139.08 143.62 148.22 152.89 157.62 117.59 122.55 127.42 132.25 137.09 141.96 146.86 151.80 156.80 161.86 166.97 172.15 180 psia (Tsat 0.25833 0.26083 0.28231 0.30154 0.31936 109.38 109.95 114.78 119.43 124.01 5 0.21928 0.22364 0.23234 0.24059 0.24853 0.25621 0.26370 0.27102 0.27819 0.28523 0.29216 0.29898 0.30571 117.698F) 117.98 118.64 124.18 129.47 134.65 0.21799 0.21912 0.22852 0.23720 0.24542 970 PROPERTY TABLES AND CHARTS –20 3000 20 2000 5 9 9 60 0 3 /f 0 5 8 8 7 1000 5 t 7 m lb 100 6 0 5 0 2 1 8 R-134a 400 = 1 200 T 0 0 4 180 35 40 30 24 220 ty Densi 260 3000 2000 3 /ft = 1 8 l bm 12 9.6 0 0 4.8 0 3.6 1.8 0.96 2 0 4 0 0 2 0 . 0 - - 10 T = 6 - 1 0 0 ° F tu r a 0 0 2 . 0 4 0 . 0 6 0 . 0 0 .1 0 8 0 . 0 2 .1 0 4 .1 0.18 0 6 .1 0 .1 8 0 0 - te d u q li .2 0 .2 0 id a v 1 40 0.24 2 0 0 0 . 0 . 100 0.48 0.36 20 200 1.2 0.72 - 400 2.4 ° 6 0 100 1000 7.2 F a i s p , e r u s s 40 e r P 4 1 2 45 50 55 6 140 2 0 .3 4 .5 0 .6 .7 0 .8 0 .9 d te o p 2 4 .2 0 .2 0 r u 6 8 .2 0 = 0 .3 0 b /l ut B ·R m 0.12 .3 0 2 0 .3 0 2 0 6 0 0 0 0.096 8 .3 0 .4 0 4 1 8 1 0 2 2 0 6 2 0 0 3 = T 0 4 3 2 .4 0 0 ° s 0 6 .3 0 4 F 0 20 0 3 8 0 2 4 2 4 4 0 6 0 0 5 0 4 5 0.072 0.048 0 8 5 0.036 0.024 10 0 2 6 4 971 APPENDIX 2 TABLE A–16E Properties of the atmosphere at high altitude Altitude, ft 0 500 1000 1500 2000 2500 3000 3500 4000 4500 5000 5500 6000 6500 7000 7500 8000 8500 9000 Temperature, 8F 59.00 57.22 55.43 53.65 51.87 50.09 48.30 46.52 44.74 42.96 41.17 39.39 37.61 35.83 34.05 32.26 30.48 28.70 26.92 Pressure, psia 14.7 14.4 14.2 13.9 13.7 13.4 13.2 12.9 12.7 12.5 12.2 12.0 11.8 11.6 11.3 11.1 10.9 10.7 10.5 Gravity, g, ft/s2 Speed of sound, ft/s Density, lbm/ft3 Viscosity m, lbm/ft?s 32.174 32.173 32.171 32.169 32.168 32.166 32.165 32.163 32.162 32.160 32.159 32.157 32.156 32.154 32.152 32.151 32.149 32.148 32.146 1116 1115 1113 1111 1109 1107 1105 1103 1101 1099 1097 1095 1093 1091 1089 1087 1085 1083 1081 0.07647 0.07536 0.07426 0.07317 0.07210 0.07104 0.06998 0.06985 0.06792 0.06690 0.06590 0.06491 0.06393 0.06296 0.06200 0.06105 0.06012 0.05919 0.05828 1.202 1.199 1.196 1.193 1.190 1.186 1.183 1.180 1.177 1.173 1.170 1.167 1.164 1.160 1.157 1.154 1.150 1.147 1.144 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1025 1025 1025 1025 1025 1025 1025 1025 1025 1025 1025 1025 1025 1025 1025 1025 1025 1025 1025 Thermal conductivity, Btu/h?ft?R 0.0146 0.0146 0.0146 0.0145 0.0145 0.0144 0.0144 0.0143 0.0143 0.0142 0.0142 0.0141 0.0141 0.0141 0.0140 0.0140 0.0139 0.0139 0.0138 972 PROPERTY TABLES AND CHARTS TABLE A–17E Ideal-gas properties of air T R h Btu/lbm Pr u Btu/lbm vr s8 Btu/lbm?R T R h Btu/lbm Pr u Btu/lbm vr s8 Btu/lbm?R 360 380 400 420 440 85.97 90.75 95.53 100.32 105.11 0.3363 0.4061 0.4858 0.5760 0.6776 61.29 64.70 68.11 71.52 74.93 396.6 346.6 305.0 270.1 240.6 0.50369 0.51663 0.52890 0.54058 0.55172 1600 1650 1700 1750 1800 395.74 409.13 422.59 436.12 449.71 71.13 80.89 90.95 101.98 114.0 286.06 296.03 306.06 316.16 326.32 8.263 7.556 6.924 6.357 5.847 0.87130 0.87954 0.88758 0.89542 0.90308 460 480 500 520 537 540 109.90 114.69 119.48 124.27 128.10 129.06 0.7913 0.9182 1.0590 1.2147 1.3593 1.3860 78.36 81.77 85.20 88.62 91.53 92.04 215.33 193.65 174.90 158.58 146.34 144.32 0.56235 0.57255 0.58233 0.59173 0.59945 0.60078 1850 1900 1950 2000 2050 2100 463.37 477.09 490.88 504.71 518.71 532.55 127.2 141.5 157.1 174.0 192.3 212.1 336.55 346.85 357.20 367.61 378.08 388.60 5.388 4.974 4.598 4.258 3.949 3.667 0.91056 0.91788 0.92504 0.93205 0.93891 0.94564 560 580 600 620 640 133.86 138.66 143.47 148.28 153.09 1.5742 95.47 131.78 1.7800 98.90 120.70 2.005 102.34 110.88 2.249 105.78 102.12 2.514 109.21 94.30 0.60950 0.61793 0.62607 0.63395 0.64159 2150 2200 2250 2300 2350 546.54 560.59 574.69 588.82 603.00 223.5 256.6 281.4 308.1 336.8 399.17 409.78 420.46 431.16 441.91 3.410 3.176 2.961 2.765 2.585 0.95222 0.95919 0.96501 0.97123 0.97732 660 680 700 720 157.92 162.73 167.56 172.39 2.801 3.111 3.446 3.806 0.64902 0.65621 0.66321 0.67002 2400 2450 2500 2550 617.22 631.48 645.78 660.12 367.6 400.5 435.7 473.3 452.70 463.54 474.40 485.31 2.419 2.266 2.125 1.996 0.98331 0.98919 0.99497 1.00064 112.67 116.12 119.58 123.04 87.27 80.96 75.25 70.07 973 APPENDIX 2 TABLE A–17E Ideal-gas properties of air (Concluded) T R h Btu/lbm Pr u Btu/lbm vr 4000 1088.3 3280 814.06 4050 4100 4150 4200 4300 1103.4 1118.5 1133.6 1148.7 1179.0 3464 3656 3858 4067 4513 4400 1209.4 4500 1239.9 4997 5521 s8 Btu/lbm?R T R h Btu/lbm 0.4518 1.13334 4600 1270.4 6089 825.72 837.40 849.09 860.81 884.28 0.4331 0.4154 0.3985 0.3826 0.3529 1.13709 1.14079 1.14446 1.14809 1.15522 4700 4800 4900 5000 5100 1300.9 1331.5 1362.2 1392.9 1423.6 6701 7362 8073 8837 9658 907.81 931.39 0.3262 1.16221 0.3019 1.16905 5200 5300 1454.4 1485.3 10,539 11,481 Pr u Btu/lbm vr s8 Btu/lbm?R 955.04 0.2799 1.17575 978.73 1002.5 1026.3 1050.1 1074.0 0.2598 0.2415 0.2248 0.2096 0.1956 1.18232 1.18876 1.19508 1.20129 1.20738 1098.0 1122.0 0.1828 1.21336 0.1710 1.2192 Note: The properties Pr (relative pressure) and vr (relative specific volume) are dimensionless quantities used in the analysis of isentropic processes, and should not be confused with the properties pressure and specific volume. Source of Data: Kenneth Wark, Thermodynamics, 4th ed. (New York: McGraw-Hill, 1983), pp. 832–33, Table A–5. Originally published in J. H. Keenan and J. Kaye, Gas Tables (New York: John Wiley & Sons, 1948). 974 PROPERTY TABLES AND CHARTS TABLE A–18E Ideal-gas properties of nitrogen, N2 _ _ T h u R Btu/lbmol Btu/lbmol _ s8 Btu/lbmol?R T R _ h Btu/lbmol _ u Btu/lbmol _ s8 Btu/lbmol?R 300 320 340 360 380 2,082.0 2,221.0 2,360.0 2,498.9 2,638.0 1,486.2 1,585.5 1,684.4 1,784.0 1,883.4 41.695 42.143 42.564 42.962 43.337 1080 1100 1120 1140 1160 7,551.0 7,695.0 7,839.3 7,984.0 8,129.0 5,406.2 5,510.5 5,615.2 5,720.1 5,825.4 50.651 50.783 50.912 51.040 51.167 400 420 440 460 480 2,777.0 2,916.1 3,055.1 3,194.1 3,333.1 1,982.6 2,082.0 2,181.3 2,280.6 2,379.9 43.694 44.034 44.357 44.665 44.962 1180 1200 1220 1240 1260 8,274.4 8,420.0 8,566.1 8,712.6 8,859.3 5,931.0 6,037.0 6,143.4 6,250.1 6,357.2 51.291 51.143 51.534 51.653 51.771 500 520 537 540 560 3,472.2 3,611.3 3,729.5 3,750.3 3,889.5 2,479.3 2,578.6 2,663.1 2,678.0 2,777.4 45.246 45.519 45.743 45.781 46.034 1280 1300 1320 1340 1360 9,006.4 9,153.9 9,301.8 9,450.0 9,598.6 6,464.5 6,572.3 6,680.4 6,788.9 6,897.8 51.887 51.001 52.114 52.225 52.335 580 600 620 640 4,028.7 4,167.9 4,307.1 4,446.4 2,876.9 2,976.4 3,075.9 3,175.5 46.278 46.514 46.742 46.964 1380 1400 1420 1440 9,747.5 9,896.9 10,046.6 10,196.6 7,007.0 7,116.7 7,226.7 7,337.0 52.444 52.551 52.658 52.763 975 APPENDIX 2 TABLE A–18E Ideal-gas properties of nitrogen, N2 (Concluded) _ _ _ T h u s8 R Btu/lbmol Btu/lbmol Btu/lbmol?R T R 1900 1940 1980 2020 2060 13,742 14,058 14,375 14,694 15,013 9,968 10,205 10,443 10,682 10,923 54.896 55.061 55.223 55.383 55.540 2100 2140 2180 2220 2260 15,334 15,656 15,978 16,302 16,626 11,164 11,406 11,649 11,893 12,138 2300 2340 2380 2420 2460 16,951 17,277 17,604 17,392 18,260 2500 2540 2580 2620 18,590 18,919 19,250 19,582 _ h Btu/lbmol _ u Btu/lbmol _ s8 Btu/lbmol?R 3500 3540 3580 3620 3660 27,016 27,359 27,703 28,046 28,391 20,065 20,329 20,593 20,858 21,122 59.944 60.041 60.138 60.234 60.328 55.694 55.846 55.995 56.141 56.286 3700 3740 3780 3820 3860 28,735 29,080 29,425 29,771 30,117 21,387 21,653 21,919 22,185 22,451 60.422 60.515 60.607 60.698 60.788 12,384 12,630 12,878 13,126 13,375 56.429 56.570 56.708 56.845 56.980 3900 3940 3980 4020 4060 30,463 30,809 31,156 31,503 31,850 22,718 22,985 23,252 23,520 23,788 60.877 60.966 61.053 61.139 61.225 13,625 13,875 14,127 14,379 57.112 57.243 57.372 57.499 4100 4140 4180 4220 32,198 32,546 32,894 33,242 24,056 24,324 24,593 24,862 61.310 61.395 61.479 61.562 976 PROPERTY TABLES AND CHARTS TABLE A–19E Ideal-gas properties of oxygen, O2 _ _ T h u R Btu/lbmol Btu/lbmol _ s8 Btu/lbmol?R T R _ h Btu/lbmol _ u Btu/lbmol _ s8 Btu/lbmol?R 300 320 340 360 380 2,073.5 2,212.6 2,351.7 2,490.8 2,630.0 1,477.8 1,577.1 1,676.5 1,775.9 1,875.3 44.927 45.375 45.797 46.195 46.571 1080 1100 1120 1140 1160 7,696.8 7,850.4 8,004.5 8,159.1 8,314.2 5,552.1 5,665.9 5,780.3 5,895.2 6,010.6 54.064 54.204 54.343 54.480 54.614 400 420 440 460 480 2,769.1 2,908.3 3,047.5 3,186.9 3,326.5 1,974.8 2,074.3 2,173.8 2,273.4 2,373.3 46.927 47.267 47.591 47.900 48.198 1180 1200 1220 1240 1260 8,469.8 8,625.8 8,782.4 8,939.4 9,096.7 6,126.5 6,242.8 6,359.6 6,476.9 6,594.5 54.748 54.879 55.008 55.136 55.262 500 520 537 540 560 3,466.2 3,606.1 3,725.1 3,746.2 3,886.6 2,473.2 2,573.4 2,658.7 2,673.8 2,774.5 48.483 48.757 48.982 49.021 49.276 1280 1300 1320 1340 1360 9,254.6 9,412.9 9,571.9 9,730.7 9,890.2 6,712.7 6,831.3 6,950.2 7,069.6 7,189.4 55.386 55.508 55.630 55.750 55.867 580 600 620 640 4,027.3 4,168.3 4,309.7 4,451.4 2,875.5 2,976.8 3,078.4 3,180.4 49.522 49.762 49.993 50.218 1380 1400 1420 1440 10,050.1 10,210.4 10,371.0 10,532.0 7,309.6 7,430.1 7,551.1 7,672.4 55.984 56.099 56.213 56.326 977 APPENDIX 2 TABLE A–19E Ideal-gas properties of oxygen, O2 (Concluded) _ _ _ T h u s8 R Btu/lbmol Btu/lbmol Btu/lbmol?R T R 1900 1940 1980 2020 2060 14,322 14,658 14,995 15,333 15,672 10,549 10,806 11,063 11,321 11,581 58.607 58.782 58.954 59.123 59.289 2100 2140 2180 2220 2260 16,011 16,351 16,692 17,036 17,376 11,841 12,101 12,363 12,625 12,888 2300 2340 2380 2420 2460 17,719 18,062 18,407 18,572 19,097 2500 2540 2580 2620 19,443 19,790 20,138 20,485 _ h Btu/lbmol _ u Btu/lbmol _ s8 Btu/lbmol?R 3500 3540 3580 3620 3660 28,273 28,633 28,994 29,354 29,716 21,323 21,603 21,884 22,165 22,447 63.914 64.016 64.114 64.217 64.316 59.451 59.612 59.770 59.926 60.077 3700 3740 3780 3820 3860 30,078 30,440 30,803 31,166 31,529 22,730 23,013 23,296 23,580 23,864 64.415 64.512 64.609 64.704 64.800 13,151 13,416 13,680 13,946 14,212 60.228 60.376 60.522 60.666 60.808 3900 3940 3980 4020 4060 31,894 32,258 32,623 32,989 33,355 24,149 24,434 24,720 25,006 25,292 64.893 64.986 65.078 65.169 65.260 14,479 14,746 15,014 15,282 60.946 61.084 61.220 61.354 4100 4140 4180 4220 33,722 34,089 34,456 34,824 25,580 25,867 26,155 26,144 65.350 64.439 65.527 65.615 978 PROPERTY TABLES AND CHARTS TABLE A–20E Ideal-gas properties of carbon dioxide, CO2 _ _ _ T h u s8 R Btu/lbmol Btu/lbmol Btu/lbmol?R T R _ h Btu/lbmol _ u Btu/lbmol _ s8 Btu/lbmol?R 300 320 340 360 380 2,108.2 2,256.6 2,407.3 2,560.5 2,716.4 1,512.4 1,621.1 1,732.1 1,845.6 1,961.8 46.353 46.832 47.289 47.728 48.148 1080 1100 1120 1140 1160 9,575.8 9,802.6 10,030.6 10,260.1 10,490.6 7,431.1 7,618.1 7,806.4 7,996.2 8,187.0 58.072 58.281 58.485 58.689 58.889 400 420 440 460 480 2,874.7 3,035.7 3,199.4 3,365.7 3,534.7 2,080.4 2,201.7 2,325.6 2,452.2 2,581.5 48.555 48.947 49.329 49.698 50.058 1180 1200 1220 1240 1260 10,722.3 10,955.3 11,189.4 11,424.6 11,661.0 8,379.0 8,572.3 8,766.6 8,962.1 9,158.8 59.088 59.283 59.477 59.668 59.858 500 520 537 540 560 3,706.2 3,880.3 4,027.5 4,056.8 4,235.8 2,713.3 2,847.7 2,963.8 2,984.4 3,123.7 50.408 50.750 51.032 51.082 51.408 1280 1300 1320 1340 1360 11,898.4 12,136.9 12,376.4 12,617.0 12,858.5 9,356.5 9,555.3 9,755.0 9,955.9 10,157.7 60.044 60.229 60.412 60.593 60.772 580 600 620 640 4,417.2 4,600.9 4,786.6 4,974.9 3,265.4 3,409.4 3,555.6 3,704.0 51.726 52.038 52.343 52.641 1380 1400 1420 1440 13,101.0 13,344.7 13,589.1 13,834.5 10,360.5 10,564.5 10,769.2 10,974.8 60.949 61.124 61.298 61.469 979 APPENDIX 2 TABLE A–20E Ideal-gas properties of carbon dioxide, CO2 (Concluded) _ _ _ T h u s8 R Btu/lbmol Btu/lbmol Btu/lbmol?R T R _ h Btu/lbmol _ u Btu/lbmol 1900 1940 1980 2020 2060 19,698 20,224 20,753 21,284 21,818 15,925 16,372 16,821 17,273 17,727 64.999 65.272 65.543 65.809 66.069 3500 3540 3580 3620 3660 41,965 42,543 43,121 43,701 44,280 35,015 35,513 36,012 36,512 37,012 73.462 73.627 73.789 73.951 74.110 2100 2140 2180 2220 2260 22,353 22,890 23,429 23,970 24,512 18,182 18,640 19,101 19,561 20,024 66.327 66.581 66.830 67.076 67.319 3700 3740 3780 3820 3860 44,861 45,442 46,023 46,605 47,188 37,513 38,014 38,517 39,019 39,522 74.267 74.423 74.578 74.732 74.884 2300 2340 2380 2420 2460 25,056 25,602 26,150 26,699 27,249 20,489 20,955 21,423 21,893 22,364 67.557 67.792 68.025 68.253 68.479 3900 3940 3980 4020 4060 47,771 48,355 48,939 49,524 50,109 40,026 40,531 41,035 41,541 42,047 75.033 75.182 75.330 75.477 75.622 2500 2540 2580 2620 27,801 28,355 28,910 29,465 22,837 23,310 23,786 24,262 68.702 68.921 69.138 69.352 4100 4140 4180 4220 50,695 51,282 51,868 52,456 42,553 43,060 43,568 44,075 75.765 75.907 76.048 76.188 _ s8 Btu/lbmol?R 980 PROPERTY TABLES AND CHARTS TABLE A–21E Ideal-gas properties of carbon monoxide, _ _ T h u R Btu/lbmol Btu/lbmol CO _ s8 Btu/lbmol?R T R _ h Btu/lbmol _ u Btu/lbmol _ s8 Btu/lbmol?R 300 320 340 360 380 2,081.9 2,220.9 2,359.9 2,498.8 2,637.9 1,486.1 1,585.4 1,684.7 1,783.9 1,883.3 43.223 43.672 44.093 44.490 44.866 1080 1100 1120 1140 1160 7,571.1 7,716.8 7,862.9 8,009.2 8,156.1 5,426.4 5,532.3 5,638.7 5,745.4 5,851.5 52.203 52.337 52.468 52.598 52.726 400 420 440 460 480 2,776.9 2,916.0 3,055.0 3,194.0 3,333.0 1,982.6 2,081.9 2,181.2 2,280.5 2,379.8 45.223 45.563 45.886 46.194 46.491 1180 1200 1220 1240 1260 8,303.3 8,450.8 8,598.8 8,747.2 8,896.0 5,960.0 6,067.8 6,176.0 6,284.7 6,393.8 52.852 52.976 53.098 53.218 53.337 500 520 537 540 560 3,472.1 3,611.2 3,725.1 3,750.3 3,889.5 2,479.2 2,578.6 2,663.1 2,677.9 2,777.4 46.775 47.048 47.272 47.310 47.563 1280 1300 1320 1340 1360 9,045.0 9,194.6 9,344.6 9,494.8 9,645.5 6,503.1 6,613.0 6,723.2 6,833.7 6,944.7 53.455 53.571 53.685 53.799 53.910 580 600 620 640 4,028.7 4,168.0 4,307.4 4,446.9 2,876.9 2,976.5 3,076.2 3,175.9 47.807 48.044 48.272 48.494 1380 1400 1420 1440 9,796.6 9,948.1 10,100.0 10,252.2 7,056.1 7,167.9 7,280.1 7,392.6 54.021 54.129 54.237 54.344 981 APPENDIX 2 TABLE A–21E Ideal-gas properties of carbon monoxide, CO (Concluded) _ _ _ T h u s8 R Btu/lbmol Btu/lbmol Btu/lbmol?R T R 1900 1940 1980 2020 2060 13,850 14,170 14,492 14,815 15,139 10,077 10,318 10,560 10,803 11,048 56.509 56.677 56.841 57.007 57.161 2100 2140 2180 2220 2260 15,463 15,789 16,116 16,443 16,722 11,293 11,539 11,787 12,035 12,284 2300 2340 2380 2420 2460 17,101 17,431 17,762 18,093 18,426 2500 2540 2580 2620 18,759 19,093 19,427 19,762 _ h Btu/lbmol _ u Btu/lbmol _ s8 Btu/lbmol?R 3500 3540 3580 3620 3660 27,262 27,608 27,954 28,300 28,647 20,311 20,576 20,844 21,111 21,378 61.612 61.710 61.807 61.903 61.998 57.317 57.470 57.621 57.770 57.917 3700 3740 3780 3820 3860 28,994 29,341 29,688 30,036 30,384 21,646 21,914 22,182 22,450 22,719 62.093 62.186 62.279 62.370 62.461 12,534 12,784 13,035 13,287 13,541 58.062 58.204 58.344 58.482 58.619 3900 3940 3980 4020 4060 30,733 31,082 31,431 31,780 32,129 22,988 23,257 23,527 23,797 24,067 62.511 62.640 62.728 62.816 62.902 13,794 14,048 14,303 14,559 58.754 58.885 59.016 59.145 4100 4140 4180 4220 32,479 32,829 33,179 33,530 24,337 24,608 24,878 25,149 62.988 63.072 63.156 63.240 982 PROPERTY TABLES AND CHARTS TABLE A–22E Ideal-gas properties of hydrogen, H2 _ _ T h u R Btu/lbmol Btu/lbmol _ s8 Btu/lbmol?R T R _ h Btu/lbmol _ u Btu/lbmol _ s8 Btu/lbmol?R 300 320 340 360 380 2,063.5 2,189.4 2,317.2 2,446.8 2,577.8 1,467.7 1,553.9 1,642.0 1,731.9 1,823.2 27.337 27.742 28.130 28.501 28.856 1400 1500 1600 1700 1800 9,673.8 10,381.5 11,092.5 11,807.4 12,526.8 6,893.6 7,402.7 7,915.1 8,431.4 8,952.2 37.883 38.372 38.830 39.264 39.675 400 420 440 460 480 2,710.2 2,843.7 2,978.1 3,113.5 3,249.4 1,915.8 2,009.6 2,104.3 2,200.0 2,296.2 29.195 29.520 29.833 30.133 20.424 1900 2000 2100 2200 2300 13,250.9 13,980.1 14,714.5 15,454.4 16,199.8 9,477.8 10,008.4 10,544.2 11,085.5 11,632.3 40.067 40.441 40.799 41.143 41.475 500 520 537 540 560 3,386.1 3,523.2 3,640.3 3,660.9 3,798.8 2,393.2 2,490.6 2,573.9 2,588.5 2,686.7 30.703 30.972 31.194 31.232 31.482 2400 2500 2600 2700 2800 16,950.6 17,707.3 18,469.7 19,237.8 20,011.8 12,184.5 12,742.6 13,306.4 13,876.0 14,451.4 41.794 42.104 42.403 42.692 42.973 580 600 620 640 3,937.1 4,075.6 4,214.3 4,353.1 2,785.3 2,884.1 2,983.1 3,082.1 31.724 31.959 32.187 32.407 2900 3000 3100 3200 20,791.5 21,576.9 22,367.7 23,164.1 15,032.5 15,619.3 16,211.5 16,809.3 43.247 43.514 43.773 44.026 983 APPENDIX 2 TABLE A–23E Ideal-gas properties of water vapor, H2O _ _ _ T h u s8 R Btu/lbmol Btu/lbmol Btu/lbmol?R T R _ h Btu/lbmol _ u Btu/lbmol _ s8 Btu/lbmol?R 300 320 340 360 380 2,367.6 2,526.8 2,686.0 2,845.1 3,004.4 1,771.8 1,891.3 2,010.8 2,130.2 2,249.8 40.439 40.952 41.435 41.889 42.320 1080 1100 1120 1140 1160 8,768.2 8,942.0 9,116.4 9,291.4 9,467.1 6,623.5 6,757.5 6,892.2 7,027.5 7,163.5 50.854 51.013 51.171 51.325 51.478 400 420 440 460 480 3,163.8 3,323.2 3,482.7 3,642.3 3,802.0 2,369.4 2,489.1 2,608.9 2,728.8 2,848.8 42.728 43.117 43.487 43.841 44.182 1180 1200 1220 1240 1260 9,643.4 9,820.4 9,998.0 10,176.1 10,354.9 7,300.1 7,437.4 7,575.2 7,713.6 7,852.7 51.360 51.777 51.925 52.070 52.212 500 520 537 540 560 3,962.0 4,122.0 4,258.0 4,282.4 4,442.8 2,969.1 3,089.4 3,191.9 3,210.0 3,330.7 44.508 44.821 45.079 45.124 45.415 1280 1300 1320 1340 1360 10,534.4 10,714.5 10,895.3 11,076.6 11,258.7 7,992.5 8,132.9 8,274.0 8,415.5 8,557.9 52.354 52.494 52.631 52.768 52.903 580 600 620 640 4,603.7 4,764.7 4,926.1 5,087.8 3,451.9 3,573.2 3,694.9 3,816.8 45.696 45.970 46.235 46.492 1380 1400 1420 1440 11,441.4 11,624.8 11,808.8 11,993.4 8,700.9 8,844.6 8,988.9 9,133.8 53.037 53.168 53.299 53.428 984 PROPERTY TABLES AND CHARTS TABLE A–23E Ideal-gas properties of water vapor, H2O (Continued) _ _ _ T h u s8 R Btu/lbmol Btu/lbmol Btu/lbmol?R T R _ h Btu/lbmol _ u Btu/lbmol _ s8 Btu/lbmol?R 1900 1940 1980 2020 2060 16,428 16,830 17,235 17,643 18,054 12,654 12,977 13,303 13,632 13,963 56.097 56.307 56.514 56.719 56.920 3500 3540 3580 3620 3660 34,324 34,809 35,296 35,785 36,274 27,373 27,779 28,187 28,596 29,006 62.876 63.015 63.153 63.288 63.423 2100 2140 2180 2220 2260 18,467 18,883 19,301 19,722 20,145 14,297 14,633 14,972 15,313 15,657 57.119 57.315 57.509 57.701 57.889 3700 3740 3780 3820 3860 36,765 37,258 37,752 38,247 38,743 29,418 29,831 30,245 30,661 31,077 63.557 63.690 63.821 63.952 64.082 2300 2340 2380 2420 2460 20,571 20,999 21,429 21,862 22,298 16,003 16,352 16,703 17,057 17,413 58.077 58.261 58.445 58.625 58.803 3900 3940 3980 4020 4060 39,240 39,739 40,239 40,740 41,242 31,495 31,915 32,335 32,757 33,179 64.210 64.338 64.465 64.591 64.715 2500 2540 2580 2620 22,735 23,175 23,618 24,062 17,771 18,131 18,494 18,859 58.980 59.155 59.328 59.500 4100 4140 4180 4220 41,745 42,250 42,755 43,267 33,603 34,028 34,454 34,881 64.839 64.962 65.084 65.204 985 APPENDIX 2 TABLE A–26E Enthalpy of formation, Gibbs function of formation, and absolute entropy at 778F, 1 atm _ _ _ h f8 g f8 s8 Substance Formula Btu/lbmol Btu/lbmol Btu/lbmol?R Carbon Hydrogen Nitrogen Oxygen Carbon monoxide Carbon dioxide Water vapor Water Hydrogen peroxide Ammonia Methane Acetylene Ethylene Ethane Propylene Propane n-Butane n-Octane n-Octane C(s) H2(g) N2(g) O2(g) CO(g) CO2(g) H2O(g) H2O(,) H2O2(g) NH3(g) CH4(g) C2H2(g) C2H4(g) C2H6(g) C3H6(g) C3H8(g) C4H10(g) C8H18(g) C8H18(,) 0 0 0 0 247,540 2169,300 2104,040 2122,970 258,640 219,750 232,210 197,540 122,490 236,420 18,790 244,680 254,270 289,680 2107,530 0 0 0 0 259,010 2169,680 298,350 2102,040 245,430 27,140 221,860 187,990 129,306 214,150 126,980 210,105 26,760 17,110 12,840 1.36 31.21 45.77 49.00 47.21 51.07 45.11 16.71 55.60 45.97 44.49 48.00 52.54 54.85 63.80 64.51 74.11 111.55 86.23 986 PROPERTY TABLES AND CHARTS TABLE A–27E Properties of some common fuels and hydrocarbons Fuel (phase) Formula Molar mass, lbm/lbmol Carbon (s) Hydrogen (g) Carbon monoxide (g) Methane (g) Methanol (,) Acetylene (g) Ethane (g) Ethanol (,) Propane (,) Butane (,) 1-Pentene (,) Isopentane (,) Benzene (,) Hexene (,) Hexane (,) Toluene (,) Heptane (,) Octane (,) C H2 CO CH4 CH4O C2H2 C2H6 C2H6O C3H8 C4H10 C5H10 C5H12 C6H6 C6H12 C6H14 C7H8 C7H16 C8H18 12.011 2.016 28.013 16.043 32.042 26.038 30.070 46.069 44.097 58.123 70.134 72.150 78.114 84.161 86.177 92.141 100.204 114.231 Density,1 lbm/ft3 125 — — — 49.3 — — 49.3 31.2 36.1 40.0 39.1 54.7 42.0 41.2 54.1 42.7 43.9 Enthalpy of vaporization,2 Btu/lbm — — — 219 502 — 74 395 144 156 156 — 186 169 157 177 157 156 Specific heat,1 cp Btu/lbm?8F 0.169 3.44 0.251 0.525 0.604 0.404 0.418 0.583 0.662 0.578 0.525 0.554 0.411 0.439 0.542 0.408 0.535 0.533 Higher heating value,3 Btu/lbm Lower heating value,3 Btu/lbm 14,100 60,970 4,340 23,880 9,740 21,490 22,320 12,760 21,640 21,130 20,540 20,890 17,970 20,430 20,770 18,230 20,680 20,590 14,100 51,600 4,340 21,520 8,570 20,760 20,430 11,530 19,930 19,510 19,190 19,310 17,240 19,090 19,240 17,420 19,180 19,100