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Tablas de vapor

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Page 1: Tablas de vapor
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Q.OP369

1 21 51 82 12 425

-273033364 04550556 065707580859095100

3.1693.567.4.2465.034

12.349

Page 15: Tablas de vapor
Page 16: Tablas de vapor

64-l .2563 0.OáQ035 120~6.9 28.8 1887.765 ll82I.5 33.8~970 8657.7 38.0~ r@Ix&o75 739.7 43.6 18’94.280 0.5073859095 0.8162

100110120130 2.225140 2.892150 3.722160 4.745 77.23 E27.96 1130.1170 5.996 62.02 137.97180 7.515 50.26 v47.99190 9.343 40.95 în42.1200 11.529 33.6’3 B 145,.9210 14.125 27.82 1 n49.7212 14.698 18Q.P6’ 1158.5220 17.1 1153.5’230 20.7 1157.1240 24.97 208.4?4 ñ 1m.7

2n8,59 íá642ll 147.6

270 41.85 1170.9în74.1á 17721 n 88’21183’,8

340 117.93 311.30 n 15%.x8350 P34t.53 I P33“T360 152.92 1 l95.2370 173.23 3’42% 1 n97.380 2.33’9 n 199.0390 2.087 IZO0.ó400 247.1 12a2.0’4110 .5 P .&726

Page 17: Tablas de vapor

1000 H(179.91) s

1500 H(198.32) s

V2 0 0 0(212.42) s

Page 18: Tablas de vapor
Page 19: Tablas de vapor

Apéndice 297

Tabla A.5. Vapor de agua saturado. Volumen Energía

Entalpía Entropía T p específico interna

vf Vg Uf Ug h f h fg hg Sr Sfg Sg

0.01 .006113 1.0002 206136 .00 2375.3 .01 2501.3 2501.4 .00 9. 1562 9.1562 5 .008721 1.0001 147 120 20.97 2382.3 20.98 2489.6 2510.6 .0761 8.9496 9.0257

10 .012276 1.0004 106379 42.00 2389.2 42.01 2477.7 2519.8 .1510 8.7498 8.9008 15 .017051 1.0009 77 926 62.99 2396.1 62.99 2465.9 2528.9 .2245 8.5569 8.7814 20 .02339 1.0018 57791 83.95 2402.9 83.96 2454.1 2538.1 .2966 8.3706 8.6672 25 .03169 1.0029 43360 104.88 2409.8 104.89 2442.3 2547 .2 .3674 8.1905 8.5580 30 .04246 1.0043 32894 125.78 2416.6 125.79 2430.5 2556.3 .4369 8.0164 8.4533 35 .05628 1.0060 25216 146.67 2423.4 146.68 2418.6 2565 .3 .5030 7.8478 8.3531 40 .07384 1.0078 19523 167.56 2430.1 167.57 2406.7 2574.3 .5725 7.6845 8.2570 45 .09593 1.0099 15258 188.44 2436.8 188.45 2394.8 2583.2 .6387 7.5261 8.1648 50 .12349 1.0121 12032 209.32 2443.5 209.33 2382.7 2592.1 .7038 7.3725 8.0763 55 .15758 1.0146 9568 230.21 2450.1 230.23 2370.7 2600.9 .7679 7.2234 7.9913 60 .19940 1.0172 7671 251.11 2456.6 251.13 2358.5 2609.6 .8312 7.0784 7.9096 65 .2503 1.0199 6197 272.02 2463.1 272.06 2346.2 2618.3 .8935 6.9375 7.8310 70 .3119 1.0228 5042 292.95 2469.6 292.98 2333 .8 2626.8 .4549 6.8004 7.7553 75 .3858 1.0259 4131 313.90 2475.9 313.93 2321.4 2635.3 1.0155 6.6669 7.6824 80 .4739 1.0291 3407 334.86 2482.2 334.91 2308.8 2643.7 1.0753 6.5369 7.6122 85 .5783 1.0325 2828 355.84 2488.4 355.90 2296.0 2651.9 1.1343 6.4102 7.5445 90 .7014 1.0360 2361 376.85 2494.5 376.92 2283.2 2660.1 1.1925 6.2866 7.4791 95 .8455 1.0397 1981.9 397.88 2500.6 397.96 2270.2 2668.1 1.2500 6.1659 7.4159

100 1.0135 1.0435 1672.9 418.94 2506.5 419.04 2257.0 2676.1 1.3069 6.0480 7.3549 120 1.9853 1.0603 891.9 503.50 2529.3 503.71 2202.6 2706.3 1.5276 5.6020 7.1296 140 3.613 1.0797 508.9 588.74 2550.0 589.13 2144.7 2733.9 1.7391 5.1908 6.9299 160 6.178 1.1020 307.1 674.87 2568.4 675.55 2082.6 2758.1 1.9427 4.8075 6.7502 180 10.021 1.1274 194.05 762.09 2583 .7 763.22 2015.0 2778.2 2.1396 4.4461 6.5857 200 15.538 1.1565 127.36 850.65 2595.3 852.45 1940.7 2793.2 2.3309 4.1014 6.4323 220 23.18 1.1565 86.19 940.87 2602.4 943.62 1858.5 2802.1 2.5178 3.7683 6.2861 240 33.44 1.2291 59.76 1033.21 2604.0 1037.32 1766.5 2803.8 2.7015 3.4422 6.1437 260 46.88 1.2755 42.21 1128.39 2599.0 1134.37 1662.5 2796.9 2.8838 3.1181 6.0019 280 64.12 1.3321 30.17 1227.46 2586.1 1235.99 1543.6 2779.6 3.0668 2.7903 5.8571 300 85.81 1.4036 21.67 1332.0 2563 .0 1344.0 1404.9 2749.0 3.2534 2.4511 5.7045 330 128.45 1.5607 12.996 1505.3 2498.9 1525.3 1140.6 2665.9 3.5507 1.8909 5.4417

360 186.51 1.8925 6.945 1725.2 2351.5 1760.5 720.5 2481.0 3.9147 1.1379 5.0526 374.136 220.9 3.155 3.155 2029.6 2029.6 2099.3 O 2099.3 4.4298 O 4.4298

J. H. Keenan et al. . Steam Tables, Wi1ey, 1969.

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Page 20: Tablas de vapor

298 Apéndice

Tabla Á.6. Vapor de agua saturado. Volumen Energía

Entalpía Entropía p T específico interna

Vf Vg Uf Ug h f h fg hg Sf Sfg Sg

.006113 .01 1.0002 206136 .00 2375.3 .01 2501.3 2501.3 .00 9.1562 9.1562

.010 6.98 l.0001 129308 29.30 2385.0 29.30 2484.9 2514.2 .1059 8.8697 8.9756

.015 13.03 l.0007 87980 54.71 2393.3 54.71 2470.6 2525.3 .1957 8.6322 8.8279

.020 17.60 1.0013 67004 73.48 2399.5 73.48 2460.0 2533 .5 .2607 8.4629 8.7237

.025 21.08 1.0020 54254 88.48 2404.4 88.49 2451.6 2540.0 .3120 8.3311 8.6432

.030 24.08 1.0027 45865 101.04 2408.5 101.05 2444.5 2545.5 .3545 8.2231 8.5776

.040 28.96 1.0040 34800 121.45 2415.2 12l.46 2432.9 2554.4 .4226 8.0520 8.4746

.050 32.88 1.0053 28192 137.81 2420.5 137.52 2423.7 2561.5 .4764 7.9187 8.3951

.075 40.29 1.0079 19238 168.78 2430.5 168.79 2406.0 2574.8 .5764 7.6750 8.2515

.10 45.81 1.0102 14674 191.82 2437 .9 191.83 2392.8 2584.7 .6493 7.5009 8.1502

.15 53.97 1.0141 10022 225.92 2448.7 225 .94 2373.1 2599.1 .7549 7.2536 8.0085

.20 60.06 1.0172 7649 251.38 2456.7 251.40 2358.3 2609.7 .8320 7.0766 7.9085

.25 64.97 1.0199 6204 27l.90 2463.1 271.90 2346.3 2618.2 .8931 6.9383 7.8314

.30 69.10 1.0223 5229 289.20 2468.4 289.23 2336.1 2625.3 .9439 6.8247 7.7586

.40 75.87 1.0265 3993 317.53 2477.0 3l7.58 2319.2 2636.8 l.0259 6.6441 7.6700

.50 81.33 1.0300 3240 340.44 2483.9 340.49 2305.4 2645.9 1.0910 6.5029 7.5939

.75 91.78 1.0373 2217 384.31 2496.7 384.39 2278.6 2663.0 1.2130 6.2434 7.4564 1.00 99.63 1.0432 1694.0 417.36 2506.1 417.46 2258.0 2675.5 1.3026 6.0568 7.359 l.50 111.37 1.0528 1159.3 466.94 2519.7 467.11 2226.5 2693 .6 1.4336 5.7897 7.2233 2.00 120.23 1.0605 885 .7 504.49 2529.5 504.70 2201.9 2706.7 1.5301 5.5970 7.1271 2.50 127.44 l.0672 718.7 535.10 2537.2 535.37 2181.5 2716.9 1.6072 5.4455 7.0527 3.00 133.55 1.0732 605.8 561.15 2543.6 561.47 2163.8 2725.3 1.6718 5.3201 6.9919 3.50 138.88 1.0786 524.3 583.95 2548.9 584.33 2148.1 2732.4 1.7275 5.2130 6.9405 4.00 143.63 1.0836 462.5 604.31 2553.6 604.74 2133.8 2738.6 1.7666 5.1193 6.8959 5.00 151.86 l.0926 374.9 639.68 2561.2 640.23 2108.5 2748.7 1.8607 4.9606 6.8213 6.00 158.85 1.1006 315.7 669.90 2567.4 670.56 2086.3 2756.8 1.9312 4.8288 6.7600 7.00 164.97 1.1080 272.9 696.44 2572.5 697.22 2066.3 2763.5 l.9922 4.7158 6.7080 8.00 170.43 1.1148 240.4 720.22 2576.8 721.11 2048.0 2769.1 2.0462 4.6156 6.6628 9.00 l75.38 1.1212 215.0 741.83 2580.5 742.83 2031.1 2773.9 2.0946 4.5280 6.6226

10.00 179.91 1.1273 194.44 761.68 2583.6 762.81 2015.3 2778.1 2.1387 4.4478 6.5865 15.00 193.32 1.1539 131.77 843.16 2594.5 844.89 1947.3 2792.2 2.3150 4.1298 6.4448 20.00 212.42 1.1767 99.63 906.44 2600.3 908.79 1890.3 2799.5 2.4474 3.8935 6.3409 25.00 223.99 1.1973 79.98 959.11 2603 .1 962.11 1841.0 2803.1 2.5547 3.7028 6.2575 30.00 233.90 1.2165 66.68 1004.78 2604.1 1008.42 1795.7 2504.2 2.6457 3.5412 6.1869 35.00 242.60 1.2347 57.07 1045.43 2603.7 1049.75 1753.7 2803 .4 2.7253 3.4000 6.1253 40.00 250.40 1.2522 49.78 1082.31 2602.3 1087.31 1714.1 280l.4 2.7964 3.2737 6.0701 50.00 263 .99 1.2859 39.44 1147.81 2597.1 1154.23 1640.1 2794.3 2.9202 3.0532 5.9734 60.00 275.64 1.3187 32.44 1205.44 2589.7 1213.35 1571.0 2784.3 3.0267 2.8525 5.8892 70.00 285 .88 1.3513 27.37 1257.55 2580.5 1267.00 1505.1 2772.1 3.1211 2.6922 5.8133 80.0 295.06 1.3842 23.52 1305.57 2569.8 1316.64 1441.3 2758.0 3.2068 2.5364 5.7432 90.0 303.40 1.4178 20.48 1350.51 2557.8 1363.26 1378.9 2742.1 3.2858 2.3915 5.6772

100.0 311.06 1.4524 18026 1393.04 2544.4 1407.56 1317.1 2724.7 3.3596 2.2544 5.6141 120.0 324.75 1.5267 14263 1473.0 2513.7 1491.3 1193.6 2684.9 3.4962 1.9962 5.4924 140.0 336.75 1.6107 11485 1548.6 2476.8 1571.1 1065.5 2637.6 3.6232 1.7485 5.37 17 160.0 347.44 1.7107 9306 1622.7 2431.7 1650.1 930.6 2580.6 3.7461 1.4994 5.2455 180.0 357.06 1.8397 7489 1698.9 2374.3 1732.0 777.1 2509.1 3.8715 1.2329 5.1044 200.0 365.81 2.036 5834 l785.6 2293.0 1825.3 583.4 2409.7 4.0129 .9130 4.9269 220.9 374.14 3.155 3155 2029.6 2029.6 2099.3 0.0 2099.3 4.4298 .0000 4.4298

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Page 21: Tablas de vapor

Apéndice 299

Tabla A.7. Vapor de agua sobrecalentado.

Presión, bar Temperatura (oC)

20 45 70 100 150 200 300 400 500 750 1000

.01 v 135228 146782 158332 172187 195272 218352 264508 310661 356814 472193 587571 (6.98) h 2538.5 2585.1 2632.0 2688.6 2783.6 2880.0 3076.8 3279.7 3489.2 4043.0 4640.6

s 9.0603 9.2131 9.3550 9.5129 9.7520 9.9671 10.3443 10.6705 10.9605 11.5800 12.1019

.04 v 36660 39557 43028 48806 54580 66122 77662 89201 118047 146892 (28.96) h 2584.5 2631.5 2688.2 2783.4 2879.8 3076.7 3279.6 3489.2 4043.0 4640.6

s 8.5716 8.7140 8.8724 9.1118 9.3271 9.7044 10.0307 10.3207 10.9402 11.4621

.1 v 15801 17196 19512 21825 26445 31063 35679 47218 58757 (45.81) h 2630.5 2687.5 2783.0 2879.5 3076.5 3279.6 3489.1 4043 .0 4640.6

s 8.2887 8.4479 8.6882 8.9038 9.2813 9.6077 9.8978 10.5174 11.0393

.2 v 7883 8585 9748 10907 13219 15529 17838 23609 29378 (60.06) h 2628.8 2686.2 2782.3 2879.1 3076.3 3279.4 3489.0 4043 .0 4640.6

s 7.9649 8.1255 8.3669 8.5831 8.9611 9.2876 9.5778 10.1975 10.7193

.3 v 5243 5715 6493 7267 8811 10351 11891 15739 19585 (69.10) h 2627.0 2685.0 2781.5 2878.6 3076.0 3279.2 3488.9 4042.9 4640.5

s 7.7737 7.9357 8.1785 8.3952 8.7736 9.1003 9.3906 10.0103 10.5322

.4 v 4279 4866 5448 6606 7763 8918 11804 14689 (75.87) h 2683 .8 2780.8 2878.1 3075.8 3279.1 3488.8 4042.8 4640.5

s 7.8003 8.0444 8.2617 8.6406 8.9674 9.2577 9.8775 10.3994

.5 v 3418 3889 4356 5284 6209 7134 9443 1175 1 (81.33) h 2682.5 2780.1 2877.7 3075.5 3278.9 3488.7 4042.8 4640.5

s 7.6947 7.9401 8.1580 8.5373 8.8642 9.1546 9.7744 10.2964

.6 v 2844 3238 3628 4402 5174 5944 7869 9792 (85.94) h 2681.3 2779.4 2877.2 3075.3 3278.8 3488.6 4042.7 4640.4

s 7.6079 7.8546 8.0731 8.4528 8.7799 9.0704 9.6903 10.2122

.7 v 2434 2773 3108 3772 4434 5095 6744 8393 (89.95) h 2680.0 2778.6 2876.7 3075.0 3278.6 3488.5 4042.7 4052.9

s 7.5341 7.7821 8.0012 8.3813 8.7086 8.9991 9.6191 10.1411

.8 v 2127 2425 2718 3300 3879 4458 5901 7344 (93 .50) h 2678.8 2777.9 2876.2 3074.8 3278.5 3488.3 4042.6 4640.4

s 7.4698 7.7191 7.9388 8.3194 8.6468 8.9374 9.5574 10.0794

.9 v 1887.3 2153 2415 2933 3448 3962 5245 5528 (96.71) h 2677.5 2777.1 2875.8 3074.6 3278.3 3488.2 4042.6 4640.3

s 7.4128 7.6634 7.8837 8.2647 8.5923 8.8829 9.5030 10.0251

1.0 v 1695.8 1936.4 2172 2639 3103 3565 4721 5875 (99.63) h 2676.2 2776.4 2875 .3 3074.3 3278.2 3488.1 4042.5 4640.3

s 7.3614 7.6134 7.8343 8.2158 8.5435 8.8342 9.4544 9.9764

continúa

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Page 22: Tablas de vapor

300 Apéndice

Tabla A.7. Vapor de agua sobrecalentado (continuación) .

Presión, bar Temperatura (oC)

20 45 70 100 150 200 300 400 500 750 1000

1.5 v 1285.3 1444.3 1757.0 2067 2376 3147 3917 (111.37) h 2772.6 2872.9 3073.1 3277.4 3487.6 4042.3 4890.8

s 7.4193 7.6433 8.0270 8.3555 8.6466 9.2670 9.7892

2.0 v 959.6 1080.3 1316.2 1549.3 1781.4 2360 2937 (120.23) h 2768.8 2870.5 3071.8 3276.6 3487.1 4042.0 4640.0

s 7.2795 7.5066 7.8926 8.2218 8.5133 9.1341 9.6563

3.0 v 633.9 716.3 875.3 1031.5 1186.7 1572.9 1958.1 (133.55) h 2761.0 2865.6 3069.3 3275.0 3486.0 4041.6 4639.7

s 7.0778 7.3115 7.7022 8.0330 8.3251 8.9467 9.4690

4 .0 v 470.8 534.2 654.8 772.6 889.3 1179.4 1486.5 (143.63) h 2752.8 2860.5 3066.8 3273.4 3484.9 4041.0 4639.4

s 6.9299 7.1706 7.5662 7.8985 8.1913 8.8134 9.3360

5.0 v 424.9 522.6 617.3 710.9 943.3 1174.7 (151.86) h 2855.4 3064.2 3271.9 3483.9 4040.5 4639.1

s 7.0592 7.4599 7.7938 8.0873 8.7101 9.2328

6.0 v 352.0 434.4 513.7 592.0 785.9 978.8 (158.85) h 2850.1 3061.6 3270.3 3482.8 4040.1 4889.6

s 6.9665 7.3724 7.7079 8.0021 8.6256 9.1485

7.0 v 299.9 371.4 439.7 507.0 673.4 838.9 (164.97) h 2844.8 3059.1 3268.7 3481.7 4039.6 4638.5

s 6.8865 7.2979 7.6350 7.9299 8.5541 9.0771

8.0 v .260.8 324.1 384.3 443.3 589.1 734.0 (170.43) h 2839.3 3056.5 3267.1 3480.6 4039.1 4638.2

s 6.8158 7.2328 7.5716 7.8673 8.4921 9.0153

9.0 v 230.3 287.4 341.1 393.8 523.5 652.4 (175.38) h 2833.6 3053.8 3265.5 3479.6 4038.7 4637.9

s 6.7522 7.1750 7.5155 7.8119 8.4374 8.9608

10.0 v 206.0 257.9 306.6 354.1 471.1 587.1 (179.91) h 2827.9 3051.2 3263.9 3478.5 4038.1 4637.6

s 6.6940 7.1229 7.4651 7.7622 8.3883 8.9119

15.0 v 132.48 169.66 203.0 235.2 313.7 391.3 (198.32) h 2796.8 3037.6 3255.8 3473.1 4035 .6 4636.1

s 6.4546 6.9179 7.2690 7.5698 8.1993 8.7238

20.0 v 125.47 151.2 175 .68 234.95 293.3 (212.42) h 3023.5 3247.6 3467.6 4033.1 4634.6

s 6.7664 7.1271 7.4317 8.0646 8.5901

25.0 v 98.90 120.10 139.98 187.76 234.6 (223.99) h 3008.8 3239.3 3462.1 4030.7 4633.1

s 6.6438 7.0148 7.3234 7.9597 8.4861

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Page 23: Tablas de vapor

Apéndice 301

Tabla A.7. Vapor de agua sobrecalentado (continuación).

Presión, bar Temperatura (oC)

20 45 70 100 150 200 300 400 500 750 1000

30.0 v 81.14 99.36 116.19 155.85 195.41 (233.90) h 2993.5 3230.9 3456.5 4028.2 4631.6

s 6.5390 6.9212 7.2338 7.8737 8.4009

35.0 v 68.42 84.53 99.18 133.79 167.43 (242.60) h 2975.5 3222.3 3450.9 4025 .6 4630.1

s 6.4461 6.8405 7.1572 7.8006 8.3288

40.0 v 58.84 73.41 86.43 116.93 146.45 (250.40) h 2960.7 3213.6 3445.3 4023.2 4628.7

s 6.3615 6.7690 7.0901 7.7371 8.2662

50.0 v 45.32 57.81 68.97 93.32 117.07 (263 .99) h 2924.5 3195.7 3433.8 4018.1 4625.7

s 6.2084 6.6459 6.9759 7.6303 8.1612

60.0 v 36.16 47.39 56.65 77.58 97.49 (275.64) h 2884.2 3177.2 3422.2 4013 .1 4622.7

s 6.0674 6.5408 6.8803 7.5423 8.0751

70.0 v 29.47 39.93 48.14 66.34 83.50 (285.88) h 2838.4 3158.1 3410.3 4007.9 4619.8

s 5.9305 6.4478 6.7975 7.4672 8.0020

80.0 v 24.26 34.32 41.75 57.91 73.01 (295.06) h 2810.3 3138.3 33.98.3 4002.8 4616.9

s 5.7906 6.3634 6.7240 7.4017 7.9384

90.0 v 29.93 36.77 51.35 64.85 (303.40) h 3117.8 3386.1 3997.7 4614.0

s 6.2854 6.6576 7.3434 7.8821

100.0 v 26.41 32.79 46.11 58.32 (311.06) h 3096.5 3373.7 3992.6 4611.0

s 6.2120 6.5966 7.2909 7.8315

120.0 v 21.08 26.80 38.24 48.53 (324.75) h 3051.3 3348.2 3982.2 4605.3

s 6.0747 6.4871 7.1988 7.7435

140.0 v 17.216 22.52 32.62 41.54 (336.75) h 3001.9 3322.0 3971.8 4599.5 .

s 5.9448 6.3897 7.1196 7.6685

160.0 v 14.262 19.296 28.41 36.30 (347.44) h 2947.6 3294.9 3961.3 4593.8

s 5.8175 6.3007 7.0499 7.6031

180.0 v 11.901 16.784 25.13 32.23 (357.06) h 2887.0 3267.0 3950.8 4588.1

s 5.6887 6.2181 6.9874 7.5449 ,

contznua

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Page 24: Tablas de vapor

302 Apéndice

Tabla A.7. Vapor de agua sobrecalentado (continuación).

Presión, bar Temperatura (oC)

20 45 70 100 150 200 300 400 500 750 1000

200.0 v 9.942 14.768 22.51 28.97 (365.81) h 2818.1 3238.2 3940.2 4582.5

s 5.5540 6.1401 6.9306 7.4925

250.0 v 6.004 11.123 17.800 23.10

h 2580.2 3162.4 3913.6 4568.5

s 5.1418 5.9592 6.8069 7.3802

300.0 v 2.790 10.168 14.664 19.196 h 2151.1 3081.1 3886.8 4554.7

s 4.4728 5.7905 6.7019 7.2867

100.0 v 1.9077 5.622 10.755 14.324 h 1930.9 2903.3 3833.0 4527.6

s 4.1135 5.4700 6.5269 7.1356

500.0 v 1.7309 3.892 8.424 11.411 h 1874.6 2720.1 3779.4 4501.l

s 4.0031 5.1726 6.3816 7.0146

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