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Appendix B
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Appendix B
Thermodynamic Tables
B.1 Thermodynamic properties of steam, temperature table
B.2 Thermodynamic properties of steam, pressure table
B.3 Thermodynamic properties of superheated steam
B.4 Thermodynamic properties of air
B.5 Specific heats of common gases
B.6 Molar specific heats of common gases
Principles of Turbomachinery. By Seppo A. Korpela 437 Copyright © 2011 John Wiley & Sons, Inc.
438 THERMODYNAMIC TABLES
Table B.l Thermodynamic Properties
T p v{ ■ 103 ve U{ °C bar m3/kg m3/kg kj/kg
0.01 1 2 3 4
0.00611 0.00657 0.00706 0.00758 0.00814
1.0002 1.0002 1.0001 1.0001 1.0001
206.136 192.439 179.762 168.016 157.126
0.00 4.18 8.40 12.61 16.82
5 6 7 8 9
0.00873 0.00935 0.01002 0.01073 0.01148
1.0001 1.0001 1.0001 1.0002 1.0002
147.024 137.647 128.939 120.847 113.323
21.02 25.22 29.41 33.61 37.80
10 11 12 13 14
0.01228 0.01313 0.01403 0.01498 0.01599
1.0003 1.0004 1.0005 1.0006 1.0008
106.323 99.808 93.740 88.086 82.814
41.99 46.17 50.36 54.55 58.73
15 16 17 18 19
0.01706 0.01819 0.01938 0.02064 0.02198
1.0009 1.0011 1.0012 1.0014 1.0016
77.897 73.308 69.023 65.019 61.277
62.92 67.10 71.28 75.47 79.65
20 21 22 23 24
0.02339 0.02488 0.02645 0.02810 0.02985
1.0018 1.0020 1.0023 1.0025 1.0027
57.778 54.503 51.438 48.568 45.878
83.83 88.02 92.20 96.38 100.57
25 26 27 28 29
0.03169 0.03363 0.03567 0.03782 0.04008
1.0030 1.0033 1.0035 1.0038 1.0041
43.357 40.992 38.773 36.690 34.734
104.75 108.93 113.12 117.30 121.48
30 31 32 33 34
0.04246 0.04495 0.04758 0.05033 0.05323
1.0044 1.0047 1.0050 1.0054 1.0057
32.896 31.168 29.543 28.014 26.575
125.67 129.85 134.03 138.22 142.40
35 0.05627 1.0060 25.220 146.58 40 0.07381 1.0079 19.528 167.50 45 0.09593 1.0099 15.263 188.41 50 0.12345 1.0122 12.037 209.31
of Saturated Steam, Temperature Table
ug hi hg Si Sg kJ/kg kJ/kg kJ/kg kJ/kgK kJ/kgK
2375.3 2375.9 2377.3 2378.7 2380.0
0.01 4.183 8.401 12.61 16.82
2501.3 2502.4 2504.2 2506.0 2507.9
0.0000 0.0153 0.0306 0.0459 0.0611
9.1562 9.1277 9.1013 9.0752 9.0492
2381.4 2382.8 2384.2 2385.6 2386.9
21.02 25.22 29.42 33.61 37.80
2509.7 2511.5 2513.4 2515.2 2517.1
0.0763 0.0913 0.1063 0.1213 0.1361
9.0236 8.9981 8.9729 8.9479 8.9232
2388.3 2389.7 2391.1 2392.4 2393.8
41.99 46.18 50.36 54.55 58.73
2518.9 2520.7 2522.6 2524.4 2526.2
0.1510 0.1657 0.1804 0.1951 0.2097
8.8986 8.8743 8.8502 8.8263 8.8027
2395.2 2396.6 2397.9 2399.3 2400.7
62.92 67.10 71.28 75.47 79.65
2528.0 2529.9 2531.7 2533.5 2535.3
0.2242 0.2387 0.2532 0.2676 0.2819
8.7792 8.7560 8.7330 8.7101 8.6875
2402.0 2403.4 2404.8 2406.1 2407.5
83.84 88.02 92.20 96.39 100.57
2537.2 2539.0 2540.8 2542.6 2544.5
0.2962 0.3104 0.3246 0.3388 0.3529
8.6651 8.6428 8.6208 8.5990 8.5773
2408.9 2410.2 2411.6 2413.0 2414.3
104.75 108.94 113.12 117.30 121.49
2546.3 2548.1 2549.9 2551.7 2553.5
0.3670 0.3810 0.3949 0.4088 0.4227
8.5558 8.5346 8.5135 8.4926 8.4718
2415.7 2417.0 2418.4 2419.8 2421.1
125.67 129.85 134.04 138.22 142.41
2555.3 2557.1 2559.0 2560.8 2562.6
0.4365 0.4503 0.4640 0.4777 0.4914
8.4513 8.4309 8.4107 8.3906 8.3708
2422.5 146.59 2564.4 0.5050 8.3511 2429.2 167.50 2573.4 0.5723 8.2550 2435.9 188.42 2582.3 0.6385 8.1629 2442.6 209.33 2591.2 0.7037 8.0745
THERMODYNAMIC TABLES 439
Table B.l (C<
T p °C bar
55 0.1575 60 0.1993 65 0.2502 70 0.3118 75 0.3856
80 0.4737 85 0.5781 90 0.7012 95 0.8453 100 1.013
105 1.208 110 1.432 115 1.690 120 1.985 125 2.320
130 2.700 135 3.130 140 3.612 145 4.153 150 4.757
160 6.177 170 7.915 180 10.02 190 12.54 200 15.55
210 19.07 220 23.18 230 27.95 240 33.45 250 39.74
260 46.89 270 55.00 280 64.13 290 74.38 300 85.84
310 98.61 320 112.8 340 145.9 360 186.6
374.12 220.9
id)
vf ■ 103 vg
m3/kg m3/kg
1.0146 9.5726 1.0171 7.6743 1.0199 6.1996 1.0228 5.0446 1.0258 4.1333
1.0290 3.4088 1.0324 2.8289 1.0359 2.3617 1.0396 1.9828 1.0434 1.6736
1.0474 1.4200 1.0515 1.2106 1.0558 1.0370 1.0603 0.8922 1.0649 0.7709
1.0697 0.6687 1.0746 0.5824 1.0797 0.5090 1.0850 0.4464 1.0904 0.3929
1.1019 0.3071 1.1142 0.2428 1.1273 0.1940 1.1414 0.1565 1.1564 0.1273
1.1726 0.1044 1.1900 0.0862 1.2088 0.0716 1.2292 0.0597 1.2515 0.0501
1.2758 0.0422 1.3026 0.0356 1.3324 0.0302 1.3658 0.0256 1.4037 0.0217
1.4473 0.0183 1.4984 0.0155 1.6373 0.0108 1.8936 0.0070 3.1550 0.0031
Uf Ug
kJ/kg kJ/kg
230.22 2449.2 251.13 2455.8 272.05 2462.4 292.98 2468.8 313.92 2475.2
334.88 2481.6 355.86 2487.9 376.86 2494.0 397.89 2500.1 418.96 2506.1
440.05 2512.1 461.19 2517.9 482.36 2523.5 503.57 2529.1 524.82 2534.5
546.12 2539.8 567.46 2545.0 588.85 2550.0 610.30 2554.8 631.80 2559.5
674.97 2568.3 718.40 2576.3 762.12 2583.4 806.17 2589.6 850.58 2594.7
895.43 2598.7 940.75 2601.6 986.62 2603.1 1033.1 2603.1 1080.4 2601.6
1128.4 2598.4 1177.4 2593.2 1227.5 2585.7 1279.0 2575.7 1332.0 2562.8
1387.0 2546.2 1444.4 2525.2 1569.9 2463.9 1725.6 2352.2 2029.6 2029.6
h{ hg
kJ/kg kJ/kg
230.24 2600.0 251.15 2608.8 272.08 2617.5 293.01 2626.1 313.96 2634.6
334.93 2643.1 355.92 2651.4 376.93 2659.6 397.98 2667.7 419.06 2675.7
440.18 2683.6 461.34 2691.3 482.54 2698.8 503.78 2706.2 525.07 2713.4
546.41 2720.4 567.80 2727.2 589.24 2733.8 610.75 2740.2 632.32 2746.4
675.65 2758.0 719.28 2768.5 763.25 2777.8 807.60 2785.8 852.38 2792.5
897.66 2797.7 943.51 2801.3 990.00 2803.1 1037.2 2803.0 1085.3 2800.7
1134.4 2796.2 1184.6 2789.1 1236.1 2779.2 1289.1 2765.9 1344.1 2748.7
1401.2 2727.0 1461.3 2699.7 1593.8 2621.3 1761.0 2482.0 2099.3 2099.3
sf ss kJ/kgK kJ/kgK
0.7679 7.9896 0.8312 7.9080 0.8935 7.8295 0.9549 7.7540 1.0155 7.6813
1.0753 7.6112 1.1343 7.5436 1.1925 7.4784 1.2501 7.4154 1.3069 7.3545
1.3630 7.2956 1.4186 7.2386 1.4735 7.1833 1.5278 7.1297 1.5815 7.0777
1.6346 7.0272 1.6873 6.9780 1.7394 6.9302 1.7910 6.8836 1.8421 6.8381
1.9429 6.7503 2.0421 6.6662 2.1397 6.5853 2.2358 6.5071 2.3308 6.4312
2.4246 6.3572 2.5175 6.2847 2.6097 6.2131 2.7013 6.1423 2.7926 6.0717
2.8838 6.0009 2.9751 5.9293 3.0669 5.8565 3.1595 5.7818 3.2534 5.7042
3.3491 5.6226 3.4476 5.5356 3.6587 5.3345 3.9153 5.0542 4.4298 4.4298
440 THERMODYNAMIC TABLES
Table B.2 Thermodynamic properties of saturated steam, pressure table
p bar
0.06 0.08 0.10 0.12 0.16
0.20 0.25 0.30 0.40 0.50
0.60 0.70 0.80 0.90 1.00
2.00 2.50 3.00 3.50 4.00
5.00 6.00 7.00 8.00 9.00
10.00 11.00 12.00 13.00 14.00
15.00 16.00 17.00 18.00 19.00
20.00 25.00 30.00 35.00
T °C
36.17 41.49 45.79 49.40 55.30
60.05 64.95 69.09 75.85 81.31
85.92 89.93 93.48 96.69 99.61
120.2 127.4 133.5 138.9 143.6
151.8 158.8 165.0 170.4 175.4
179.9 184.1 188.0 191.6 195.1
198.3 201.4 204.3 207.1 209.8
212.4 224.0 233.9 242.6
vi • 103
m 3/kg
1.0065 1.0085 1.0103 1.0119 1.0147
1.0171 1.0198 1.0222 1.0263 1.0299
1.0330 1.0359 1.0385 1.0409 1.0431
1.0605 1.0672 1.0731 1.0785 1.0835
1.0925 1.1006 1.1079 1.1147 1.1211
1.1272 1.1329 1.1384 1.1437 1.1488
1.1538 1.1586 1.1633 1.1678 1.1723
1.1766 1.1973 1.2165 1.2348
ve m 3/kg
23.737 18.128 14.693 12.377 9.4447
7.6591 6.2120 5.2357 3.9983 3.2442
2.7351 2.3676 2.0895 1.8715 1.6958
0.8865 0.7193 0.6063 0.5246 0.4627
0.3751 0.3158 0.2729 0.2405 0.2150
0.1945 0.1775 0.1633 0.1513 0.1408
0.1318 0.1238 0.1167 0.1104 0.1047
0.0996 0.0800 0.0667 0.0571
ut kJ/kg
151.47 173.73 191.71 206.82 231.47
251.32 271.85 289.15 317.48 340.38
359.73 376.56 391.51 405.00 417.30
504.49 535.12 561.19 584.01 604.38
639.74 669.96 696.49 720.25 741.84
761.67 780.06 797.23 813.37 828.60
843.05 856.81 869.95 882.54 894.63
906.27 958.92 1004.59 1045.26
Kg
kJ/kg
2424.0 2431.0 2436.8 2441.6 2449.4
2455.7 2462.1 2467.5 2476.1 2483.1
2488.8 2493.8 2498.1 2502.0 2505.5
2529.2 2537.0 2543.4 2548.8 2553.4
2561.1 2567.2 2572.2 2576.5 2580.1
2583.2 2585.9 2588.3 2590.4 2592.2
2593.9 2595.3 2596.5 2597.7 2598.6
2599.5 2602.3 2603.2 2602.9
hi kJ/kg
151.47 173.74 191.72 206.83 231.49
251.34 271.88 289.18 317.52 340.43
359.79 376.64 391.60 405.09 417.40
504.70 535.39 561.51 584.38 604.81
640.29 670.62 697.27 721.14 742.85
762.80 781.31 798.60 814.85 830.21
844.78 858.66 871.93 884.64 896.86
908.62 961.92 1008.2 1049.6
hg
kJ/kg
2566.5 2576.0 2583.7 2590.1 2600.5
2608.9 2617.4 2624.5 2636.1 2645.3
2652.9 2659.5 2665.3 2670.5 2675.1
2706.5 2716.8 2725.2 2732.4 2738.5
2748.6 2756.7 2763.3 2768.9 2773.6
2777.7 2781.2 2784.3 2787.0 2789.4
2791.5 2793.3 2795.0 2796.4 2797.6
2798.7 2802.2 2803.3 2802.6
Sf
kJ/kgK
0.5208 0.5921 0.6489 0.6960 0.7718
0.8318 0.8929 0.9438 1.0257 1.0908
1.1451 1.1917 1.2327 1.2693 1.3024
1.5301 1.6073 1.6719 1.7276 1.7768
1.8608 1.9313 1.9923 2.0462 2.0947
2.1387 2.1791 2.2165 2.2514 2.2840
2.3148 2.3439 2.3715 2.3978 2.4230
2.4470 2.5543 2.6453 2.7250
ss kJ/kg K
8.3283 8.2272 8.1487 8.0849 7.9846
7.9072 7.8302 7.7676 7.6692 7.5932
7.5314 7.4793 7.4342 7.3946 7.3592
7.1275 7.0531 6.9923 6.9409 6.8963
6.8216 6.7602 6.7081 6.6627 6.6224
6.5861 6.5531 6.5227 6.4946 6.4684
6.4439 6.4208 6.3990 6.3782 6.3585
6.3397 6.2561 6.1856 6.1240
THERMODYNAMIC TABLES 4 4 1
Table B.2 (Continued)
p T vt ■ 103 vg ut bar °C m3/kg m3/kg kJ/kg
40.00 45.00 50.00 55.00 60.00
250.4 257.5 264.0 270.0 275.6
1.2523 1.2694 1.2861 1.3026 1.3190
0.0498 0.0441 0.0394 0.0356 0.0324
1082.18 1116.14 1147.74 1177.39 1205.42
65.00 70.00 75.00 80.00 85.00
280.9 285.9 290.6 295.0 299.3
1.3352 1.3515 1.3678 1.3843 1.4009
0.0297 0.0274 0.0253 0.0235 0.0219
1232.06 1257.52 1281.96 1305.51 1328.27
90.00 95.00 100.0 105.0 110.0
303.4 307.3 311.0 314.6 318.1
1.4177 1.4348 1.4522 1.4699 1.4881
0.0205 0.0192 0.0180 0.0170 0.0160
1350.36 1371.84 1392.79 1413.27 1433.34
115.0 120.0 125.0 130.0 135.0
321.5 324.7 327.9 330.9 333.8
1.5068 1.5260 1.5458 1.5663 1.5875
0.0151 0.0143 0.0135 0.0128 0.0121
1453.06 1472.47 1491.61 1510.55 1529.31
140.0 145.0 150.0 155.0 160.0
336.7 339.5 342.2 344.8 347.4
1.6097 1.6328 1.6572 1.6828 1.7099
0.0115 0.0109 0.0103 0.0098 0.0093
1547.94 1566.49 1585.01 1603.55 1622.17
165.0 170.0 175.0 180.0 185.0
349.9 352.3 354.7 357.0 359.3
1.7388 1.7699 1.8033 1.8399 1.8801
0.0088 0.0084 0.0079 0.0075 0.0071
1640.92 1659.89 1679.18 1698.88 1719.17
190.0 195.0 200.0 205.0 210.0
361.5 363.7 365.8 367.9 369.9
1.9251 1.9762 2.0357 2.1076 2.1999
0.0067 0.0063 0.0059 0.0055 0.0050
1740.22 1762.34 1785.94 1811.76 1841.25
215.0 371.8 2.3362 0.0045 1878.57 220.9 374.1 3.1550 0.0316 2029.60
u g ht he S{ sg
kJ/kg kJ/kg kJ/kg kJ/kgK kJ/kgK
2601.5 2599.3 2596.5 2593.1 2589.3
1087.2 1121.9 1154.2 1184.6 1213.3
2800.6 2797.6 2793.7 2789.1 2783.9
2.7961 2.8607 2.9201 2.9751 3.0266
6.0690 6.0188 5.9726 5.9294 5.8886
2584.9 2580.2 2575.1 2569.6 2563.8
1240.7 1267.0 1292.2 1316.6 1340.2
2778.1 2771.8 2765.0 2757.8 2750.1
3.0751 3.1211 3.1648 3.2066 3.2468
5.8500 5.8130 5.7774 5.7431 5.7097
2557.6 2551.1 2544.3 2537.1 2529.5
1363.1 1385.5 1407.3 1428.7 1449.7
2742.0 2733.4 2724.5 2715.1 2705.4
3.2855 3.3229 3.3592 3.3944 3.4288
5.6771 5.6452 5.6139 5.5830 5.5525
2521.6 2513.4 2504.7 2495.7 2486.2
1470.4 1490.8 1510.9 1530.9 1550.7
2695.1 2684.5 2673.4 2661.8 2649.7
3.4624 3.4953 3.5277 3.5595 3.5910
5.5221 5.4920 5.4619 5.4317 5.4015
2476.3 2465.9 2455.0 2443.4 2431.3
1570.5 1590.2 1609.9 1629.6 1649.5
2637.1 2623.9 2610.0 2595.5 2580.2
3.6221 3.6530 3.6838 3.7145 3.7452
5.3710 5.3403 5.3091 5.2774 5.2450
2418.4 2404.8 2390.2 2374.6 2357.7
1669.6 1690.0 1710.7 1732.0 1754.0
2564.1 2547.1 2529.0 2509.7 2488.9
3.7761 3.8073 3.8390 3.8714 3.9047
5.2119 5.1777 5.1423 5.1054 5.0667
2339.3 2319.0 2296.2 2269.7 2237.5
1776.8 1800.9 1826.7 1855.0 1887.5
2466.3 2441.4 2413.7 2381.6 2343.0
3.9393 3.9756 4.0144 4.0571 4.1060
5.0256 4.9815 4.9331 4.8787 4.8144
2193.9 1928.8 2291.0 4.1684 4.7299 2029.6 2099.3 2099.3 4.4298 4.4298
442 THERMODYNAMIC TABLES
Table B.3 Thermodynamics
T v u h s °C m3/kg kJ/kg kJ/kg kJ /kgK
p = 0.06 bar
36.17 80 120 160 200 240 280 320 360 400 440 500
23.739 27.133 30.220 33.303 36.384 39.463 42.541 45.620 48.697 51.775 54.852 59.468
2424.0 2486.7 2544.1 2602.2 2660.9 2720.6 2781.2 2842.7 2905.2 2968.8 3033.4 3132.4
2566.5 2649.5 2725.5 2802.0 2879.2 2957.4 3036.4 3116.4 3197.4 3279.5 3362.6 3489.2
8.3283 8.5794 8.7831 8.9684 9.1390 9.2975 9.4458 9.5855 9.7176 9.8433 9.9632 10.134
p = 0.7 bar
89.93 120 160 200 240 280 320 360 400 440 480 520
2.368 2.5709 2.8407 3.1082 3.3744
3.6399 3.9049 4.1697 4.4342 4.6985 4.9627 5.2269
2493.8 2539.3 2599.0 2658.7 2718.9 2779.8 2841.6 2904.4 2968.1 3032.8 3098.6 3165.4
2659.5 2719.3 2797.8 2876.2 2955.1 3034.6 3115.0 3196.2 3278.5 3361.7 3446.0 3531.3
7.4793 7.6370 7.8272 8.0004 8.1603 8.3096 8.4498 8.5824 8.7083 8.8285 8.9434 9.0538
p = 1.5 bar
111.37 160 200 240 280 320 360 400 440 480 520 560
1.1600 1.3174 1.4443 1.5699 1.6948 1.8192 1.9433 2.0671 2.1908 2.3144 2.4379 2.5613
2519.3 2594.9 2655.8 2716.7 2778.2 2840.3 2903.3 2967.2 3032.0 3097.9 3164.8 3232.9
2693.3 2792.5 2872.4 2952.2 3032.4 3113.2 3194.8 3277.2 3360.6 3445.1 3530.5 3617.0
7.2234 7.4660 7.6425 7.8044 7.9548 8.0958 8.2289 8.3552 8.4756 8.5908 8.7013 8.8077
of superheated steam
T v u h s °C m3/kg kJ/kg kJ/kg kJ /kgK
p = 0.35 bar
72.67 80 120 160 200 240 280 320 360 400 440 500
99.61 120 160 200 240 280 320 360 400 440 480 520
4.531 4.625 5.163 5.697 6.228 6.758 7.287 7.816 8.344 8.872 9.400 10.192
1.6958 1.7931 1.9838 2.1723 2.3594 2.5458 2.7317 2.9173 3.1027 3.2879 3.4730 3.6581
2472.1 2483.1 2542.0 2600.7 2659.9 2719.8 2780.6 2842.2 2904.8 2968.5 3033.2 3132.2
2630.7 2645.0 2722.7 2800.1 2877.9 2956.3 3035.6 3115.8 3196.9 3279.0 3362.2 3488.9
p= l.Obar 2505.5 2537.0 2597.5 2657.6 2718.1 2779.2 2841.1 2904.0 2967.7 3032.5 3098.3 3165.2
2675.1 2716.3 2795.8 2874.8 2954.0 3033.8 3114.3 3195.7 3278.0 3361.3 3445.6 3531.0
7.7148 7.7553 7.9637 8.1512 8.3229 8.4821 8.6308 8.7707 8.9031 9.0288 9.1488 9.3194
7.3592 7.4665 7.6591 7.8335 7.9942 8.1438 8.2844 8.4171 8.5432 8.6634 8.7785 8.8889
133.55 160 200 240 280 320 360 400 440 480 520 560
0.6060 0.6506 0.7163 0.7804 0.8438 0.9067 0.9692 1.0315 1.0937 1.1557 1.2177 1.2796
p - 3.0 bar
2543.4 2586.9 2650.2 2712.6 2775.0 2837.8 2901.2 2965.4 3030.5 3096.6 3163.7 3231.9
2725.2 2782.1 2865.1 2946.7 3028.1 3109.8 3191.9 3274.9 3358.7 3443.4 3529.0 3615.7
6.9923 7.1274 7.3108 7.4765 7.6292 7.7716 7.9057 8.0327 8.1536 8.2692 8.3800 8.4867
THERMODYNAMIC TABLES 4 4 3
Table B.3 (Continued)
T °C m3/kg
u kJ/kg kJ/kg kJ /kgK
T v u h s °C m3/kg kJ/kg kJ/kg kJ /kgK
p = 5 bar
151.86 0.3751 2561.1 2748.6 6.8216 180 0.4045 2609.5 2811.7 6.9652 220 0.4449 2674.9 2897.4 7.1463 260 0.4840 2738.9 2980.9 7.3092 300 0.5225 2802.5 3063.7 7.4591 340 0.5606 2866.3 3146.6 7.5989 380 0.5985 2930.7 3229.9 7.7304 420 0.6361 2995.7 3313.8 7.8550 460 0.6736 3061.6 3398.4 7.9738 500 0.7109 3128.5 3483.9 8.0873 540 0.7482 3196.3 3570.4 8.1964 560 0.7669 3230.6 3614.0 8.2493
p = 7 bar
164.97 0.2729 2572.2 2763.3 6.7081 180 0.2846 2599.6 2798.8 6.7876 220 0.3146 2668.1 2888.4 6.9771 260 0.3434 2733.9 2974.2 7.1445 300 0.3714 2798.6 3058.5 7.2970 340 0.3989 2863.2 3142.4 7.4385 380 0.4262 2928.1 3226.4 7.5712 420 0.4533 2993.6 3310.9 7.6966 460 0.4802 3059.8 3395.9 7.8160 500 0.5070 3126.9 3481.8 7.9300 540 0.5338 3194.9 3568.5 8.0393 560 0.5741 3229.2 3612.2 8.09243
p = 1 0 b a r
179.91 0.1945 2583.2 2777.7 6.5861 220 0.2169 2657.5 2874.3 6.7904 260 0.2378 2726.1 2963.9 6.9652 300 0.2579 2792.7 3050.6 7.1219 340 0.2776 2858.5 3136.1 7.2661 380 0.2970 2924.2 3221.2 7.4006 420 0.3161 2990.3 3306.5 7.5273 460 0.3352 3057.0 3392.2 7.6475 500 0.3541 3124.5 3478.6 7.7622 540 0.3729 3192.8 3565.7 7.8721 580 0.3917 3262.0 3653.7 7.9778 620 0.4105 3332.2 3742.7 8.0797
p = 15 bar
198.32 0.1318 2593.9 2791.5 6.4439 220 0.1405 2638.1 2849.0 6.5630 260 0.1556 2712.6 2945.9 6.7521 300 0.1696 2782.5 3036.9 6.9168 340 0.1832 2850.4 3125.2 7.0657 380 0.1965 2917.6 3212.3 7.2033 420 0.2095 2984.8 3299.1 7.3322 460 0.2224 3052.3 3385.9 7.4540 500 0.2351 3120.4 3473.1 7.5699 540 0.2478 3189.2 3561.0 7.6806 580 0.2605 3258.8 3649.6 7.7870 620 0.2730 3329.4 3739.0 7.8894
p = 20bar
212.42 0.0996 2599.5 2798.7 6.3397 240 0.1084 2658.8 2875.6 6.4937 280 0.1200 2735.6 2975.6 6.6814 320 0.1308 2807.3 3068.8 6.8441 360 0.1411 2876.7 3158.9 6.9911 400 0.1512 2945.1 3247.5 7.1269 440 0.1611 3013.4 3335.6 7.2539 480 0.1708 3081.9 3423.6 7.3740 520 0.1805 3150.9 3511.9 7.4882 560 0.1901 3220.6 3600.7 7.5975 600 0.1996 3291.0 3690.2 7.7024 640 0.2091 3362.4 3780.5 7.8036
p = 30bar
233.90 0.06667 2603.2 2803.3 6.1856 240 0.06818 2618.9 2823.5 6.2251 280 0.07710 2709.0 2940.3 6.4445 320 0.08498 2787.6 3042.6 6.6232 360 0.09232 2861.3 3138.3 6.7794 400 0.09935 2932.7 3230.7 6.9210 440 0.10618 3003.0 3321.5 7.0521 480 0.11287 3073.0 3411.6 7.1750 520 0.11946 3143.2 3501.6 7.2913 560 0.12597 3213.8 3591.7 7.4022 600 0.13243 3285.0 3682.3 7.5084 640 0.13884 3357.0 3773.5 7.6105
444 THERMODYNAMIC TABLES
Table B.3 (Continued)
T °C
250.38 280 320 360 400 440 480 520 560 600 640 680
295.04 320 360 400 440 480 520 560 600 640 680 720
324.75 360 400 440 480 520 560 600 640 680 720 760
V
m 3/kg
0.04978 0.05544 0.06198 0.06787 0.07340 0.07872 0.08388 0.08894 0.09392 0.09884 0.10372 0.10855
0.02352 0.02681 0.03088 0.03431 0.03742 0.04034 0.04312 0.04582 0.04845 0.05102 0.05356 0.05607
0.01426 0.01810 0.02108 0.02355 0.02576 0.02781 0.02976 0.03163 0.03345 0.03523 0.03697 0.03869
u kJ/kg
h kJ/kg
p = 40 bar
2601.5 2679.0 2766.6 2845.3 2919.8 2992.3 3064.0 3135.4 3206.9 3278.9 3351.5 3424.9
2800.6 2900.8 3014.5 3116.7 3213.4 3307.2 3399.5 3491.1 3582.6 3674.3 3766.4 3859.1
p = 80bar
2569.6 2661.7 2771.9 2863.5 2946.8 3026.0 3102.9 3178.6 3254.0 3329.3 3404.9 3480.9
2757.8 2876.2 3018.9 3138.0 3246.2 3348.6 3447.8 3545.2 3641.5 3737.5 3833.4 3929.4
p = 120 bar
2513.4 2677.1 2797.8 2896.3 2984.9 3068.4 3149.0 3228.0 3306.3 3384.3 3462.3 3540.6
2684.5 2894.4 3050.7 3178.9 3294.0 3402.1 3506.1 3607.6 3707.7 3807.0 3906.0 4004.8
s kJ/kgK
6.0690 6.2552 6.4538 6.6207 6.7688 6.9041 7.0301 7.1486 7.2612 7.3687 7.4718 7.5711
5.7431 5.9473 6.1805 6.3630 6.5192 6.6589 6.7873 6.9070 7.0200 7.1*274 7.2302 7.3289
5.4920 5.8341 6.0739 6.2589 6.4161 6.5559 6.6839 6.8029 6.9150 7.0214 7.1231 7.2207
T °C rr
276.62 280 320 360 400 440 480 520 560 600 640 680
311.04 320 360 400 440 480 520 560 600 640 680 720
336.75 360 400 440 480 520 560 600 640 680 720 760
V u l h s L3/kg kJ/kg kJ/kg kJ/kgK
p
0.03244 0.03317 0.03874 0.04330 0.04739 0.05121 0.05487 0.05840 0.06186 0.06525 0.06859 0.07189
P
0.01802 0.01925 0.02330 0.02641 0.02911 0.03160 0.03394 0.03619 0.03836 0.04048 0.04256 0.04461
P =
0.01148 0.01421 0.01722 0.01955 0.02157 0.02343 0.02517 0.02683 0.02843 0.02999 0.03152 0.03301
= 60 bar
2589.3 2604.7 2719.0 2810.6 2892.7 2970.2 3045.3 3119.4 3193.0 3266.6 3340.5 3414.9
= 100 bar
2544.3 2588.2 2728.0 2832.0 2922.3 3005.8 3085.9 3164.0 3241.1 3317.9 3394.6 3471.6
: 140 bar
2476.3 2616.0 2760.2 2868.8 2963.1 3050.3 3133.6 3214.7 3294.5 3373.8 3452.8 3532.0
2783.9 2803.7 2951.5 3070.4 3177.0 3277.4 3374.5 3469.8 3564.1 3658.1 3752.1 3846.3
2724.5 2780.6 2961.0 3096.1 3213.4 3321.8 3425.3 3525.8 3624.7 3722.7 3820.3 3917.7
2637.1 2815.0 3001.3 3142.5 3265.2 3378.3 3485.9 3590.3 3692.5 3793.6 3894.1 3994.2
5.8886 5.9245 6.1830 6.3771 6.5404 6.6854 6.8179 6.9411 7.0571 7.1673 7.2725 7.3736
5.6139 5.7093 6.0043 6.2114 6.3807 6.5287 6.6625 6.7862 6.9022 7.0119 7.1165 7.2167
5.3710 5.6579 5.9438 6.1477 6.3152 6.4616 6.5940 6.7163 6.8309 6.9392 7.0425 7.1413
THERMODYNAMIC TABLES 445
Table B.3 (Continued)
T v u h s °C m3/kg kJ/kg kJ/kg kJ /kgK
347.44 360 400 440 480 520 560 600 640 680 720 760
365.81 400 440 480 520 560 600 640 680 720 760 800
400 440 480 520 560 600 640 680 720 760 800
0.00931 0.01105 0.01427 0.01652 0.01842 0.02013 0.02172 0.02322 0.02466 0.02606 0.02742 0.02876
0.00588 0.00995 0.01223 0.01399 0.01551 0.01688 0.01817 0.01939 0.02056 0.02170 0.02280 0.02388
0.00383 0.00712 0.00885 0.01019 0.01135 0.01239 0.01336 0.01428 0.01516 0.01600 0.01682
p = 160 bar
2431.3 2537.5 2718.5 2839.6 2940.5 3031.8 3117.9 3201.1 3282.6 3363.1 3443.3 3523.4
2580.2 2714.3 2946.8 3104.0 3235.3 3353.9 3465.4 3572.6 3677.2 3780.1 3882.1 3983.5
p = 200 bar
2296.2 2617.9 2775.2 2892.3 2993.1 3085.5 3173.3 3258.2 3341.6 3424.0 3505.9 3587.8
2413.7 2816.9 3019.8 3172.0 3303.2 3423.2 3536.7 3646.0 3752.8 3857.9 3961.9 4065.4
p = 280 bar
2221.7 2613.5 2782.7 2908.9 3016.8 3115.1 3207.9 3297.2 3384.4 3470.3 3555.5
2328.8 2812.9 3030.5 3194.3 3334.6 3462.1 3582.0 3697.0 3808.8 3918.4 4026.5
5.2450 5.4591 5.8162 6.0433 6.2226 6.3761 6.5133 6.6390 6.7561 6.8664 6.9712 7.0714
4.9331 5.5521 5.8455 6.0534 6.2232 6.3708 6.5039 6.6264 6.7408 6.8488 6.9515 7.0498
4.7465 5.4497 5.7472 5.9592 6.1319 6.2815 6.4158 6.5390 6.6539 6.7621 6.8647
T v u h s °C m3/kg kJ/kg kJ/kg kJ /kgK
357.06 360 400 440 480 520 560 600 640 680 720 760
P = 0.00750 0.00810 0.01191 0.01415 0.01596 0.01756 0.01903 0.02041 0.02173 0.02301 0.02424 0.02545
P =
: 180 bar
2374.6 2418.3 2671.7 2808.5 2916.9 3012.7 3101.9 3187.3 3270.5 3352.4 3433.7 3514.7
: 240 bar
2509.7 2564.1 2886.0 3063.2 3204.2 3328.8 3444.5 3554.8 3661.7 3766.5 3870.0 3972.8
5.1054 5.1916 5.6872 5.9432 6.1358 6.2971 6.4394 6.5687 6.6885 6.8008 6.9072 7.0086
400 440 480 520 560 600 640 680 720 760 800
0.00673 0.00929 0.01100 0.01241 0.01366 0.01480 0.01587 0.01690 0.01788 0.01883 0.01976
2476.0 2700.9 2839.9 2952.1 3051.8 3144.6 3233.3 3319.6 3404.3 3488.2 3571.7
2637.5 2923.9 3103.9 3250.0 3379.5 3499.8 3614.3 3725.1 3833.4 3940.2 4046.0
5.2365 5.6511 5.8971 6.0861 6.2456 6.3866 6.5148 6.6336 6.7450 6.8504 6.9508
400 440 480 520 560 600 640 680 720 760 800
P
0.00237 0.00543 0.00722 0.00853 0.00962 0.01059 0.01148 0.01232 0.01312 0.01388 0.01462
= 320 bar
1981.0 2509.0 2720.5 2863.4 2980.6 3084.9 3182.0 3274.6 3364.3 3452.3 3539.2
2056.8 2682.9 2951.5 3136.2 3288.4 3423.8 3549.4 3668.8 3784.0 3896.4 4006.9
4.3252 5.2325 5.5998 5.8390 6.0263 6.1851 6.3258 6.4538 6.5722 6.6832 6.7881
446 THERMODYNAMIC TABLES
Table B.4 Thermodynamic Properties of Air
T
K
200 210 220 230 240
250 260 270 280 285
290 295 300 305 310
315 320 325 330 340
350 360 370 380 390
400 410 420 430 440
h
kJ/kg
199.97 209.97 219.97 230.02 240.02
250.05 260.09 270.11 280.13 285.14
290.16 295.17 300.19 305.22 310.24
315.27 320.29 325.31 330.34 340.42
350.49 360.58 370.67 380.77 390.88
400.98 411.12 421.26 431.43 441.61
s°
kJ/(kg-,K)
1.29559 1.34444 1.39105 1.43557 1.47824
1.51917 1.55848 1.59634 1.63279 1.65055
1.66802 1.68515 1.70203 1.71865 1.73498
1.75106 1.76690 1.78249 1.79783 1.82790
1.85708 1.88543 1.91313 1.94001 1.96633
1.99194 2.01699 2.40142 2.06533 2.08870
Pr
0.3363 0.3987 0.4690 0.5477 0.6355
0.7329 0.8405 0.9590 1.0889 1.1584
1.2311 1.3068 1.-3860 1.4686 1.5546
1.6442 1.7375 1.8345 1.9352 2.149
2.379 2.626 2.892 3.176 3.481
3.806 4.153 4.522 4.915 5.332
vr
1707.0 1512.0 1346.0 1205.0 1084.0
979.0 887.8 808.0 738.0 706.1
676.1 647.9 621.2 596.0 572.3
549.8 528.6 508.4 489.4 454.1
422.2 393.4 367.2 343.4 321.5
301.6 283.3 266.6 251.1 236.8
T
K
450 460 470 480 490
500 510 520 530 540
550 560 570 580 590
600 610 620 630 640
650 660 670 680 690
700 710 720 730 740
h
kJ/kg
451.80 462.02 472.24 482.49 492.74
503.02 513.32 523.63 533.98 544.35
554.74 565.17 575.59 586.04 596.52
607.02 617.53 628.63 638.63 649.22
659.84 670.47 681.14 691.82 702.52
713.27 724.04 734.82 745.62 756.44
s°
kJ/(kg•K)
2.11161 2.13407 2.15604 2.17760 2.19876
2.21952 2.23993 2.25997 2.27967 2.29906
2.31809 2.33685 2.35531 2.37348 2.39140
2.40902 2.42644 2.44356 2.46048 2.47716
2.49364 2.50985 2.52589 2.54175 2.55731
2.57277 2.58810 2.60319 2.61803 2.63280
Pr
5.775 6.245 6.742 7.268 7.824
8.411 9.031 9.684 10.37 11.10
11.86 12.66 13.50 14.38 15.31
16.28 17.30 18.36 19.84 20.64
21.86 23.13 24.46 25.85 27.29
28.80 30.38 32.02 33.72 35.50
Vr
223.6 211.4 200.1 189.5 179.7
170.6 162.1 154.1 146.7 139.7
133.1 127.0 121.2 115.7 110.6
105.8 101.2 96.92 92.84 88.99
85.34 81.89 78.61 75.50 72.56
69.76 67.07 64.53 62.13 59.82
THERMODYNAMIC TABLES 447
Table B.4 (Continued)
K
750 760 770 780 790
800 820 840 860 880
h
kJ/kg
769.29 778.18 789.11 800.03 810.99
821.95 843.98 866.08 888.27 910.56
900 932.93 920 955.39 940 977.92 960 1000.55 980 1023.25
1000 1046.04 1020 1068.89 1040 1091.85 1060 1114.86 1080 1137.89
1100 1161.07 1120 1184.28 1140 1207.57 1160 1230.92 1180 1254.34
1200 1277.79 1220 1301.31 1240 1324.93 1260 1348.55 1280 1372.24
kJ/(kg ■ K)
2.64737 2.66176 2.67595 2.69013 2.70100
2.71787 2.74504 2.77170 2.79783 2.82344
2.84856 2.87324 2.89748 2.92128 2.94469
2.96770 2.99034 2.99034 3.03449 3.05608
3.07732 3.09825 3.11883 3.13916 3.15916
3.17888 3.19834 3.21751 3.21751 3.25510
Pr
37.35 39.07 41.31 43.35 45.55
47.75 52.59 57.60 63.09 68.98
75.29 82.05 89.28 97.00 105.2
114.0 123.4 123.4 143.9 155.2
167.1 179.7 193.1 207.2 222.2
238.0 254.7 272.3 281.3 310.4
57.63 55.54 53.39 51.64 49.86
48.08 44.84 41.85 39.12 36.61
34.31 32.18 30.22 28.40 26.73
25.17 23.72 22.39 21.12 19.98
18.896 17.886 16.946 16.064 15.241
14.170 13.747 13.069 12.435 11.835
K
1300 1320 1340 1360 1380
kJ/kg kJ/(kg • K )
1700 1750 1800 1850 1900
1950 2000 2050 2100 2150 2200 2250
1395.97 1419.76 1443.60 1467.49 1491.44
1400 1515.42 1420 1539.44 1440 1563.51 1460 1587.63 1480 1611.79
1500 1635.97 1520 1660.23 1540 1684.51 1560 1708.82 1580 1733.17
1600 1757.57 1620 1782.00 1640 1806.46 1660 1830.96 1680 1855.50
1880.1 1941.6 2003.3 2065.3 2127.4
2189.7 2252.1 2314.6 2377.4 2440.3 2503.2 2566.4
3.27345 3.29160 3.30959 3.32724 3.34474
3.36200 3.37901 3.39586 3.41217 3.42892
3.44516 3.46120 3.47712 3.49276 3.50829
3.52364 3.53879 3.55381 3.56867 3.58355
3.5979 3.6336 3.6681 3.7023 3.7354
3.7677 3.7994 3.8303 3.8605 3.8901 3.9191 3.9474
330.9 11.275 352.5 10.747 375.3 10.247 399.1 9.780 424.2 9.337
450.5 8.919 478.0 8.526 506.9 8.153 537.1 7.801 568.8 7.468
601.9 636.5 672.8 710.5 750.0
791.2 834.1 878.9 925.3 974.2
1025 1161 1310 1475 1655
1852 2068 2303 2995 2837 3138 3464
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