Use the data in the steam tables (Appendix A) to answer the following:

A. Find the change in internal energy when 50 kg of steam at constant pressure P = 5 bar has its temperature reduced from 500°C to 300°C.

B. Find the change in internal energy when 200 kg of liquid water at constant pressure P = 100 bar has its temperature increased from 240°C to 300°C.

Appendix A.

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A-1 Saturated Steam-Pressure Increments T(Celsius) 6.97 17.49 24.08 28.96 32.88 36.16 39.00 41.51 43.76 45.81 53.97 60.06 64.96 69.10 72.68 75.86 78.71 81.32 85.93 89.93 93.48 96.69 99.61 102.29 104.78 107.11 109.29 111.35 113.30 115.15 116.91 118.60 120.21 127.41 133.52 138.86 143.61 147.90 151.83 155.46 158.83 161.98 164.95 167.75 170.41 172.94 175.35 177.66 179.88 184.06 187.96 191.60 195.04 198.29 201.37 204.31 207.11 209.80 212.38 223.95 233.85 242.56 250.35 257.44 263.94 275,58 285.83 295.01 303.34 311.00 318.08 324.68 330.85 336.67 342.16 347.35 352.29 356.99 361.47 365.75 369.83 373.95 P(bar) 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.15 0.2 0.25 0.3 0.35 0.4 0.45 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.5 3 3.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220.64 V¹ (m³/kg) 0.001000 0.001001 0.001003 0.001004 0.001005 0.001006 0.001008 0.001008 0.001009 0.001010 0.001014 0.001017 0.001020 0.001022 0.001024 0.001026 0.001028 0.001030 0.001033 0.001036 0.001039 0.0010411 0.001043 0.001045 0.001047 0.001049 0.001051 0.001053 0.001054 0.001056 0.001058 0.001059 0.001061 0.001067 0.001073 0.001079 0.001084 0.001088 0.001093 0.001097 0.001101 0.001104 0.001108 0.001111 0.001115 0.001118 0.001121 0.001124 0.001127 0.001133 0.001139 0.001144 0.001149 0.001154 0.001159 0.001163 0.001168 0.001172 0.001177 0.001197 0.001217 0.001235 0.001253 0.001270 0.001286 0.001319 0.001352 0.001385 0.001418 0.001453 0.001489 0.001526 0.001566 0.001610 0.001657 0.001709 0.001769 0.001840 0.001927 0.002040 0.002206 0.003106 vv (m³/kg) 129.18 66.987 45.653 34.791 28.185 23.733 20.524 18.099 16.199 14.670 10.020 7.6480 6.2032 5.2284 4.5251 3.9930 3.5759 3.2400 2.7317 2.3648 2.0871 1.8694 1.6939 1.5495 1.4284 1.3253 1.2366 1.1593 1.0914 1.0312 0.9775 0.9292 0.8857 0.7187 0.6058 0.5242 0.4624 0.41391 0.3748 0.3426 0.3156 0.2926 0.2728 0.2555 0.2403 0.2269 0.2149 0.2041 0.1944 0.1774 0.1633 0.1512 0.1408 0.1317 0.1237 0.1167 0.1104 0.1047 0.099585 0.079949 0.066664 0.057058 0.049776 0.044059 0.039446 0.032448 0.027378 0.023526 0.020490 0.018030 0.015990 0.014264 0.012780 0.011485 0.010338 0.009309 0.008371 0.007502 0.006677 0.005865 0.004996 0.003106 U¹(kJ/kg) 29.3 73.4 101.0 121.4 137.7 151.5 163.3 173.8 183.2 191.8 225.9 251.4 271.91 289.2 304.3 317.6 329.6 340.5 359.8 376.7 391.6 405.1 417.4 428.7 439.2 449.1 458.3 467.0 475.2 483.0 490.5 497.6 504.5 535.1 561.1 583.9 604.2 622.6 639.5 655.2 669.7 683.4 696.2 708.4 720.0 731.0 741.6 751.7 761.4 779.8 797.0 813.1 828.4 842.8 856.6 869.8 882.4 894.5 906.1 958.9 1004.7 1045.5 1082.5 1116.5 1148.2 1206.0 1258.2 1306.2 1351.1 1393.5 1434.1 1473.1 1511.1 1548.4 1585.3 1622.3 1659.9 1699.0 1740.5 1786.4 1841.2 2015.7 Úv kJ/kg) 2384.5 2398.9 2407.9 2414.5 2419.8 2424.2 2428.0 2431.4 2434.4 2437.2 2448.0 2456.0 2462.4 2467.7 2472.3 2476.3 2479.9 2483.2 2489.0 2493.9 2498.2 2502.1 2505.6 2508.7 2511.7 2514.4 2516.9 2519.2 2521.4 2523.5 2525.5 2527.3 2529.1 2536.8 2543.2 2548.5 2553.1 2557.1 2560.7 2563.9 2566.8 2569.4 2571.8 2574.0 2576.0 2577.9 2579.6 2581.2 2582.7 2585.5 2587.8 2589.9 2591.8 2593.4 2594.8 2596.1 2597.2 2598.2 2599.1 2602.1 2603.2 2602.9 2601.7 2599.7 2597.0 2589.9 2581.0 2570.5 2558.5 2545.2 2530.5 2514.3 2496.5 2477.1 2455.6 2431.8 2405.2 2374.8 2339.1 2295.0 2233.7 2015.7 H' (kJ/kg) 29.3 73.4 101.0 121.4 137.7 151.5 163.4 173.8 183.3 191.8 225.9 251.4 272.0 289.3 304.3 317.6 329.6 340.5 359.9 376.8 391.7 405.2 417.5 428.8 439.4 449.2 458.4 467.1 475.4 483.2 490.7 497.9 504.7 535.3 561.4 584.3 604.7 623.1 640.1 655.8 670.4 684.1 697.0 709.2 720.9 732.0 742.6 752.7 762.5 781.0 798.3 814.6 830.0 844.6 858.5 871.7 884.5 896.7 908.5 961.9 1008.3 1049.8. 1087.5 1122.2 1154.6 1213.9 1267.7 13173 1363.9 1408.1 1450.4 1491.5 1531.5 1571.0 1610.2 1649.7 1690.0 1732.1 1777.2 1827.2 1887.6 2084.3 Hv (kJ/kg) 2513.7 2532.9 2544,8 2553.7 2560.7 2566.6 2571.7 2576.2 2580.2 2583.9 2598.3 2608.9 2617.4 2624.5 2630.7 2636.1 2640.9 2645.2 2652.9 2659.4 2665.2 2670.3 2674.9 2679.2 2683.1 2686.6 2690.0 2693.1 2696.0 2698.8 2701.4 2703.9 2706.2 2716.5 2724.9 2732.0 2738.1 2743.4 2748.1 2752.3 2756.1 2759.6 2762.8 2765.6 2768.3 2770.8 2773.0 2775.1 2777.1 2780.6 2783.7 2786.5 2788.8 2791.0 2792.8 2794.5 2795.9 2797.2 2798.3 2801.9 2803.2 2802.6 2800.8 2797.9 2794.2 2784.6 2772.6 2758.7 2742.9 2725.5 2706.3 2685.4 2662.7 2637.9 2610.7 2580.8 2547.5 2509.8 2466.0 2412.3 2338.6 2084.3 S¹ (kJ/kg-K) S (kJ/kg-K) 0.1059 8.9749 0.2606 8.7226 0.3543 8.5764 0.4224 0.4762 0.5208 0.5590 0.5925 0.6223 0.6492 0.7549 0.8320 0.8932 0.9441 0.9877 1.0261 1.0603 1.0912 1.1454 1.1921 1.2330 1.2696 1.3028 1.3330 1.3609 1.3868 1.4110 1.4337 1.4551 1.4753 1.4945 1.5127 1.5302 1.6072 1.6717 1.7274 1.7765 1.8205 1.8604 1.8970 1.9308 1.9623 1.9918 2.0195 2.0457 2.0705 2.0940 2.1165 2.1381 2.1785 2.2159 2.2508 2.2835 2.3143 2.3435 2.3711 2.3975 2.4227 2.4468 2.5543 2.6455 2.7254 2.7968 2.8615 2.9210 3.0278 3.1224 3.2081 3.2870 3.3606 3.4303 3.4967 3.5608 3.6232 3.6846 3.7457 3.8077 3.8718 3.9401 4.0156 4.1064 4.4070 8.4734 8.3938 8.3290 8.2745 8.2273 8.1858 8.1488 8.0071 7.9072 7.8302 7.7675 7.7146 7.6690 7.6288 7.5930 7.5311 7.4790 7.4339 7.3943 7.3588 7.3269 7.2977 7.2709 7.2461 7.2230 7.2014 7.1812 7.1621 7.1440 7.1269 7.0524 6.9916 6.9401 6.8955 6.8560 6.8207 6.7886 6.7592 6.7322 6.7071 6.6836 6.6616 6.6409 6.6213 6.6027 6.5850 6.5520 6.5217 6.4936 6.4675 6.4430 6.4199 6.3981 6.3775 6.3578 6.3390 6.2558 6.1856 6.1243 6.0696 6.0197 5.9737 5.8901 5.8148 5.7450 5.6791 5.6160 5.5545 5.4939 5.4336 5.3727 5.3106 5.2463 5.1787 5.1061 5.0256 4.9314 4.8079 4.4070