A boiler is fed with 40 kg/s of water at a pressure of 100 bar and a temperature of 250°C. The velocity of the water at the inlet is negligible. The boiler delivers superheated steam with a pressure of 90 bar and a temperature of 800 K through a 20 cm diameter pipe. Calculate the average velocity of the steam at the exit of the boiler and the energy transfer as heat to the water required to obtain the specified steam conditions. Use the tables in Appendix A.3 for data.

Data From Appendix A.3

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T/ psat / K MPa UV /h²/h²V / hv /s/ SLV / sv/ m³/kg kJ/kg kJ/kg kJ/kg kJ/(kg K) kJ/(kg K) kJ/(kg .K) . 9.1555 9.1555 9.0783 8.8738 8.6766 8.4862 8.3023 8.1244 7.9523 7.7856 7.6241 7.4674 m³/kg 273.16 0.0006117 0.001000 206.0 0.0 2500.9 2500.9 0.0 2496.5 2504.3 0.0283 275 0.0006985 0.001000 181.6 7.8 0.0009918 0.001000 130.2 28.8 280 2484.7 2513.5 0.1041 2472.8 2522.6 0.1784 2461.0 2531.7 0.2513 285 0.001389 0.001001 94.61 49.8 290 0.001920 0.001001 69.63 70.7 0.001002 51.87 91.7 2449.2 2540.8 0.3228 0.001003 39.08 112.6 2437.3 2549.9 0.3931 133.5 2425.4 2558.9 0.4622 295 0.002621 300 0.003537 305 0.004719 0.001005 29.77 310 0.006231 0.001007 22.91 0.001009 17.80 315 0.008145 320 0.01055 154.4 2413.5 2567.9 0.5302 175.3 2401.6 2576.8 0.5970 196.2 2389.6 2585.7 0.6629 0.001011 13.96 325 0.01 353 217.1 2377.5 2594.6 0.7277 0.001013 11.04 0.001015 8.806 238.0 2365.4 2603.3 0.7915 330 0.01721 335 0.02172 0.001018 7.079 258.9 2353.2 2612.1 0.8544 340 0.02719 0.001021 5.734 2340.9 2620.7 0.9164 279.8 300.8 345 0.03378 0.001024 4.678 2328.5 2629.3 0.9775 350 0.04168 0.001027 3.842 321.7 2316.0 2637.7 1.0378 355 0.05 108 0.001030 3.176 342.7 2303.4 2646.1 1.0973 360 0.06219 0.001034 2.642 363.7 2290.7 2654.4 1.1560 0.001037 2.210 0.001041 1.859 384.8 2277.8 2662.5 1.2140 405.8 2264.8 2670.6 1.2713 426.9 2251.6 2678.5 1.3279 365 0.07526 370 0.09054 375 0.1083 380 0.1289 385 0.1525 390 0.1796 395 0.2106 400 0.2458 0.001045 1.572 0.001049 1.336 448.0 2238.2 2686.3 1.3838 0.001053 1.141 469.2 2224.7 2693.9 1.4390 0.001058 0.9794 490.4 2210.9 2701.3 1.4937 0.001062 0.8440 511.7 2197.0 2708.6 1.5477 0.001067 0.7303 532.9 2182.8 2715.7 1.6012 0.001072 0.6345 554.3 2168.3 2722.6 1.6542 405 0.2856 7.3154 7.1678 7.0244 6.8849 6.7492 6.6171 6.4884 6.3629 6.2405 6.1209 6.0042 5.8900 5.7783 5.6690 5.5619 5.4569 5.3539 9.1066 8.9779 8.8550 8.7375 8.6251 8.5175 8.4145 8.3158 8.2211 8.1303 8.0431 7.9593 7.8787 7.8013 7.7267 7.6549 7.5857 7.5189 7.4545 7.3922 7.3320 7.2738 7.2174 7.1627 7.1096 7.0581 7.0080