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An Actual Rankine Engine receives steam at 10 MPa and 350C. The steam expands adiabatically to a pressure of 100 kPa with quality of 85%, and then condenses at the same pressure. Find the Indicated thermal  efficiency,  Brake  Steam  Rate,  Combined  Heat  Rate,  and electrical power produced if 2.12 kg/s of steam flowsin the cycle. The turbogenerator has a mechanical efficiency is 85% and the generator efficiency is 95%.

An Actual Rankine Engine receives steam at 10 MPa and 350C. The steam expands adiabatically to a pressure of 100 kPa with quality of 85%, and then condenses at the same pressure. Find the Indicated thermal  efficiency,  Brake  Steam  Rate,  Combined  Heat  Rate,  and electrical power produced if 2.12 kg/s of steam flowsin the cycle. The turbogenerator has a mechanical efficiency is 85% and the generator efficiency is 95%.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Read the questions carefully before answering.  Box  or  indicate  your  final answers  when  solving  and  draw  your  diagrams  cleanly  or  use  correction tape/fluid. Use the steam tables provided and DO NOT ROUND the values from the steam table. Use 4 decimal places when solving and use 2 decimal places for final answers only. Draw the TS diagram with proper placement and label of points when required.

An Actual Rankine Engine receives steam at 10 MPa and 350C. The steam expands adiabatically to a pressure of 100 kPa with quality of 85%, and then condenses at the same pressure. Find the Indicated thermal  efficiency,  Brake  Steam  Rate,  Combined  Heat  Rate,  and electrical power produced if 2.12 kg/s of steam flowsin the cycle. The turbogenerator has a mechanical efficiency is 85% and the generator efficiency is 95%.

Table 3. Vapor 49 (262.73) 5.0 (263.99) P(t Sat.) 10 10 10 v 39.44 2597.1 2794.3 5.9734 Sat. 41.18 2598.4 2796.0 5.9916 40.29 25978 2795.2 5.9824 Lavie 2. Saturation: Pressures 255 260 265 270 39 19 2576.8 2768.J 5.9394 40 90 23917 27900 5.9802 ग 2804 6.018 42.75 2624.7 2829.9 6.0544 19.77 25 276 9607 20.72 2605. 28016 3.9999 41.62 2620.5 2824.5 6.0367 JA.67 2587 2777 5941I 19.63 26004 2798.6 5.9813 40.54 2616.2 2818.9 6.0189 Specifie Volume Sa Internal Energy Sa Liguld Pres Enthalpy Sal. Entropy Sat Temp Li 10 Sal. Vaper Sat. Vaper Sal. Yapor Erap. 41.41 2631.3 2838.3 6.0544 42.24 2645.6 28568 6.0880 43.04 2659.4 2874.6 6.1201 43.82 2672.7 28918 6.1507 44.58 2685.5 2908.4 6.1801 Liquid Evap. Liqud Erap. 43.62 2639.1 2848.5 6.0885 44,46 2652.9 2866.3 6.1209 45.28 2666.2 2883.6 6.1519 46.07 2679.1 2900.2 6.1816 46.83. 2691.6 2916.4 62102 42.45 2635.2 2843.4 6.0714 43J) 2649.3 2861.6 6.1044 44.14 2662.8 2879.1 6.1359 44.92 2675.9 2896.0 6.1661 45.69 2688.6 2912.4 6.1951 10 275 280 285 290 295 006113 0007 01 1.0002 206 136 189 1.0001 181 255 .00 275) 2375.3 7.90 2370 0 2377.9 15.81 2364.7 2380.6 22.88 23600 2382.9 Ot 2501.3 2501.4 7.91 2496.9 2504.8 IS8I 2492.5 2508.3 22.89 2488.5 2511.4 0000 9.1562 9.1562 .0288 9.0775 9.1064 5.45 1.0001 142 789 0S75 8.9999 9.0573 0829 8.9312 9.0:42 .co09 0010 0011 0012 0013 .0014 6.98 1.0002 129 208 837 1.0002 !18 042 9.66 1.0003 108 696 10.86 1.0004 100 755 11.98 1.000S 93 922 29.30 2355.7 2385.0 35.17 23518 2356.9 40.58 2348.1 2388.7 45.60 2344.7 2390.3 50.31 2341.6 2391.9 29.30 2484.9 2514.2 35.17 2481.6 2516.8 40. 58 2478.6 2519.1 45.60 2475.7 25213 50.31 2473.1 2523.4 1059 8.8697 8.9756 1268 8.8140 8.9408 1460 8.7631 8.9091 1637 8.7162 8.8799 1802 8.6727 8.8529 300 310 320 330 340 47.58 2703.7 2932.1 62377 49.03 2727.0 2962.4 6.2902 50.43 2749.4 2991.5 6.3396 S1.78 2771.0 3019.5 6.3865 53.09 2792.0 3046.8 6.4313 46.43 27008 29283 6.2230 47.86 2724.5 2959.0 6.2760 49.24 2747.1 29884 6.3260 50.57 2768.9 3016.7 6.3733 51.87 2790.0 3044.1 6.4185 45.32 2698.0 2924.5 62084 46.74 2721.9 2955.6 6.2621 48.10 2744.7 2985.3 6.3125 49.42 2766.7 3013.8 6.3603 50.70 2788.0 3041.5 6.4058 54,71 2338.6 2393.3 58.87 23358 2394.7 62.80 2333 2 23960. 6280 2466.0 2528.8 66.53 2330.7 2397.2 70.09 2328.3 2398.4 350 360 370 380 390 54.37 2812.4 3073.3 6.4743 55.62 2832.4 3099.3 65157 56.84 2852.0 3124.8 6.5557 58.05 2871J J3150.0 6.5944 59.24 2890.4 3174.8 6.6321 53.13 2810,5 3070.9 6.4617 54.36 2830.7 3097.0 6.5034 55.57 2850.4 3122.7 6.5436 56.76 28698 J148.0 6.5825 57.93 2889.0 3172.9 6.6204 S1.94 2808,7 3068.4 64493 53.16 2828.9 3094.7 6,4912 54.35 2848.8 3120.5 6.5317 55.52 2868.3 3145.9 6.5708 56.68 2887.6 3171.0 6.6089 54.71 2470.6 2525.3 58.87 2468.3 2527.1 .0015 0016 .0017 0018 0019 13.03 1.0007 87 980 14.02 1.0008 82 763 14.95 1 0009 78 146 15.84 1.0010 74 030 16.69 1.0012 20 337 1957 8.6322 8.8279 2102 8.5943 8 8044 2238 8.5585 8.7825 66.54 2463.9 2530.5 2368 8.5250 8 7618 2491 8.4931 S.7422 70.10 2461.9 2532.0 60.41 2909.3 3199.3 6.6688 61.57 2928.0 3223.6 6.7046 62.72 2946.6 3247.7 6.7396 63.85 2965.1 3271.6 6.7739 64.98 2983.5 3295.4 6.8075 400 410 0050 .0055 0060 .0065 .0070 3288 1.0053 28 192 34.58 1.0058 25 769 36.16 1.0064 23 739 37.63 1.0069 22 014 39.00 L0074 20 530 137.81 2282.7 2420.5 144.94 2277.9 24228 151.53 2273.4 2425.0 157,66 2269.3 2426 9 163.39. 2265.4 2428 8 137.82 2423.7 2561.5 144.95 2419.6 2564.5 IS1,53 2415.9 2567 4 157.67 2412.4 2570.0 163.40 2409.1 2572.5 4764 7.9187 8.3951 4997 1.8616 8.3613 S210 7.8094 8.3304 5408 7,7613 8.3020 5592 1,7167 8.2758 59.09 2908.0 3197.5 6.6572 60.23 2926.8 3221.9 6.6932 61.35 2945.4 3246.0 6.7283 62.47 2963.9 3270.0 6.7627 63.57 2982.4 3293.9 6.7964 57.81 2906.6 3195.7 6.6459 58.93 2925.5 3220.2 6.6820 60.04 2944.2 3244.4 6.7172 61.14 2962.8 3268.5 6.7517 62.23 2981.3 3292.4 6.7855 439 449 .0075 40.29 1.0079- 19 238 41.51 1.0084 18 103 42.67 1.0089 17 099 43.76 1.009416 203 44,81 1.0098 15 399 168.78 2261.7 2430.5 173.87 22583 24322. 173.88 2403.1 2577.0 178.69 2255.0 2433.7 178.70 2400 3 2579.0 183.27 2251.9 2435.2: 183.29 2397.7 25810 187.64 2243,9 2436.6 187.65 2395.2 2582.9 168.79 2406.0 2574.8 5764 7.6750 8.2515 5926 7.6361 8 2287 6079 7.5994 8.2073 6224 7.5648 8.1872 6362 1.5321 8.1682 10.0 (311.06) 10.2 (312.52) P(t Sat.) .0090 .0095 10 10'v u 18.026 2544.4 2724.7 5.6141 17.588 2541.6 2721.0, 5.6017 Sat. 99.63 1.0432 1694.0 101.00 10443 102.31 1.0453 115 103.58 1.0463 120 104.80 1.0473 1428.4 .100 .105 110 1618.4 1549.5 1486.4 417.36 2088.7 2506.1 423.13 2084.6 2507.7 428.68 2080.S 2509.2 434.03 2076.7 2510.7 439.20 2072.9 2512.1 417.46 2258.0 2675.5 1.3026 6.0568 7.3594 423.24 2254.4 2677.6 1.3181 6.0249 7.3430 428.79 2250.9 2679.7 13329 5.9944 -7.3273 434.15 2247.5 2681.7 13471 5.9653 7.3124 439.32 2244.2 2683.5 17.864 2538 S 2717.1 T8.593 2565.1 2751.0 5.6589 19.253 2588.8 2781.3 5.7103 305 310 315 18.626 2580.0 2770.0 5.6848 320 17.197 2526 9 2702.3 17.950 2555.T 2738.2 5.6309 5.6011 3.5697 1.3608 5.9373 7.2981 19.861 2610.4 2809.1 5.7568 20.429' 2630.4 2834.7 5.7996 20.964 2649.1 2858.7 5.8392 21.472 2666.6 2881.4 5.8763 21.957 2683.3 2902.9 19,244 2602.5 2798.8 19.819 2623.2. 2825.4 20.358 2642.S 2850.1 20.869 2660.6 2873.4 21.355 2677.6 2895.5 5.7332 325 5.7774 330 5.8183 335 5.8564 340 5.9112 5.3922 345 22.42 2699.2 2923.4 5.9443 23.31 2729.1 2962.1 24.14 2756.9 2998.3 6.0626 24.93 2783.2 3032.5 6.1154 25.68 2808.3 3065.1 6.1650 21.82 2693.9 2916.5 22.70 2724.4 2955.9 23.53 2752.7 2992,7 24.31 2779.4 3027.4 6.1000 25.06 2804.8 3060.4 5.9261 5.9889 6.0465 350 360 370 380 390 6.0060 6.1503 26.41 2832.4 3096.5 6.2120 27.11 2855.7 3126.8 6.2567 27.80 2878.4 3156.3 6.2995 28.46 2900.4 3185.1 6.3407 29.11 2922.1 3213.2 25.78 2829.1 3092.1 26.48 2852.7 3122.8 27.16 2875.5 3152.5 27.82 2897.8 3181.5 28.46 2919.6 3209,9 6.1977 400 6.2429 410 420 6.3276 430 6.3677. 440 6.2861 6.3805
Transcribed Image Text:Table 3. Vapor 49 (262.73) 5.0 (263.99) P(t Sat.) 10 10 10 v 39.44 2597.1 2794.3 5.9734 Sat. 41.18 2598.4 2796.0 5.9916 40.29 25978 2795.2 5.9824 Lavie 2. Saturation: Pressures 255 260 265 270 39 19 2576.8 2768.J 5.9394 40 90 23917 27900 5.9802 ग 2804 6.018 42.75 2624.7 2829.9 6.0544 19.77 25 276 9607 20.72 2605. 28016 3.9999 41.62 2620.5 2824.5 6.0367 JA.67 2587 2777 5941I 19.63 26004 2798.6 5.9813 40.54 2616.2 2818.9 6.0189 Specifie Volume Sa Internal Energy Sa Liguld Pres Enthalpy Sal. Entropy Sat Temp Li 10 Sal. Vaper Sat. Vaper Sal. Yapor Erap. 41.41 2631.3 2838.3 6.0544 42.24 2645.6 28568 6.0880 43.04 2659.4 2874.6 6.1201 43.82 2672.7 28918 6.1507 44.58 2685.5 2908.4 6.1801 Liquid Evap. Liqud Erap. 43.62 2639.1 2848.5 6.0885 44,46 2652.9 2866.3 6.1209 45.28 2666.2 2883.6 6.1519 46.07 2679.1 2900.2 6.1816 46.83. 2691.6 2916.4 62102 42.45 2635.2 2843.4 6.0714 43J) 2649.3 2861.6 6.1044 44.14 2662.8 2879.1 6.1359 44.92 2675.9 2896.0 6.1661 45.69 2688.6 2912.4 6.1951 10 275 280 285 290 295 006113 0007 01 1.0002 206 136 189 1.0001 181 255 .00 275) 2375.3 7.90 2370 0 2377.9 15.81 2364.7 2380.6 22.88 23600 2382.9 Ot 2501.3 2501.4 7.91 2496.9 2504.8 IS8I 2492.5 2508.3 22.89 2488.5 2511.4 0000 9.1562 9.1562 .0288 9.0775 9.1064 5.45 1.0001 142 789 0S75 8.9999 9.0573 0829 8.9312 9.0:42 .co09 0010 0011 0012 0013 .0014 6.98 1.0002 129 208 837 1.0002 !18 042 9.66 1.0003 108 696 10.86 1.0004 100 755 11.98 1.000S 93 922 29.30 2355.7 2385.0 35.17 23518 2356.9 40.58 2348.1 2388.7 45.60 2344.7 2390.3 50.31 2341.6 2391.9 29.30 2484.9 2514.2 35.17 2481.6 2516.8 40. 58 2478.6 2519.1 45.60 2475.7 25213 50.31 2473.1 2523.4 1059 8.8697 8.9756 1268 8.8140 8.9408 1460 8.7631 8.9091 1637 8.7162 8.8799 1802 8.6727 8.8529 300 310 320 330 340 47.58 2703.7 2932.1 62377 49.03 2727.0 2962.4 6.2902 50.43 2749.4 2991.5 6.3396 S1.78 2771.0 3019.5 6.3865 53.09 2792.0 3046.8 6.4313 46.43 27008 29283 6.2230 47.86 2724.5 2959.0 6.2760 49.24 2747.1 29884 6.3260 50.57 2768.9 3016.7 6.3733 51.87 2790.0 3044.1 6.4185 45.32 2698.0 2924.5 62084 46.74 2721.9 2955.6 6.2621 48.10 2744.7 2985.3 6.3125 49.42 2766.7 3013.8 6.3603 50.70 2788.0 3041.5 6.4058 54,71 2338.6 2393.3 58.87 23358 2394.7 62.80 2333 2 23960. 6280 2466.0 2528.8 66.53 2330.7 2397.2 70.09 2328.3 2398.4 350 360 370 380 390 54.37 2812.4 3073.3 6.4743 55.62 2832.4 3099.3 65157 56.84 2852.0 3124.8 6.5557 58.05 2871J J3150.0 6.5944 59.24 2890.4 3174.8 6.6321 53.13 2810,5 3070.9 6.4617 54.36 2830.7 3097.0 6.5034 55.57 2850.4 3122.7 6.5436 56.76 28698 J148.0 6.5825 57.93 2889.0 3172.9 6.6204 S1.94 2808,7 3068.4 64493 53.16 2828.9 3094.7 6,4912 54.35 2848.8 3120.5 6.5317 55.52 2868.3 3145.9 6.5708 56.68 2887.6 3171.0 6.6089 54.71 2470.6 2525.3 58.87 2468.3 2527.1 .0015 0016 .0017 0018 0019 13.03 1.0007 87 980 14.02 1.0008 82 763 14.95 1 0009 78 146 15.84 1.0010 74 030 16.69 1.0012 20 337 1957 8.6322 8.8279 2102 8.5943 8 8044 2238 8.5585 8.7825 66.54 2463.9 2530.5 2368 8.5250 8 7618 2491 8.4931 S.7422 70.10 2461.9 2532.0 60.41 2909.3 3199.3 6.6688 61.57 2928.0 3223.6 6.7046 62.72 2946.6 3247.7 6.7396 63.85 2965.1 3271.6 6.7739 64.98 2983.5 3295.4 6.8075 400 410 0050 .0055 0060 .0065 .0070 3288 1.0053 28 192 34.58 1.0058 25 769 36.16 1.0064 23 739 37.63 1.0069 22 014 39.00 L0074 20 530 137.81 2282.7 2420.5 144.94 2277.9 24228 151.53 2273.4 2425.0 157,66 2269.3 2426 9 163.39. 2265.4 2428 8 137.82 2423.7 2561.5 144.95 2419.6 2564.5 IS1,53 2415.9 2567 4 157.67 2412.4 2570.0 163.40 2409.1 2572.5 4764 7.9187 8.3951 4997 1.8616 8.3613 S210 7.8094 8.3304 5408 7,7613 8.3020 5592 1,7167 8.2758 59.09 2908.0 3197.5 6.6572 60.23 2926.8 3221.9 6.6932 61.35 2945.4 3246.0 6.7283 62.47 2963.9 3270.0 6.7627 63.57 2982.4 3293.9 6.7964 57.81 2906.6 3195.7 6.6459 58.93 2925.5 3220.2 6.6820 60.04 2944.2 3244.4 6.7172 61.14 2962.8 3268.5 6.7517 62.23 2981.3 3292.4 6.7855 439 449 .0075 40.29 1.0079- 19 238 41.51 1.0084 18 103 42.67 1.0089 17 099 43.76 1.009416 203 44,81 1.0098 15 399 168.78 2261.7 2430.5 173.87 22583 24322. 173.88 2403.1 2577.0 178.69 2255.0 2433.7 178.70 2400 3 2579.0 183.27 2251.9 2435.2: 183.29 2397.7 25810 187.64 2243,9 2436.6 187.65 2395.2 2582.9 168.79 2406.0 2574.8 5764 7.6750 8.2515 5926 7.6361 8 2287 6079 7.5994 8.2073 6224 7.5648 8.1872 6362 1.5321 8.1682 10.0 (311.06) 10.2 (312.52) P(t Sat.) .0090 .0095 10 10'v u 18.026 2544.4 2724.7 5.6141 17.588 2541.6 2721.0, 5.6017 Sat. 99.63 1.0432 1694.0 101.00 10443 102.31 1.0453 115 103.58 1.0463 120 104.80 1.0473 1428.4 .100 .105 110 1618.4 1549.5 1486.4 417.36 2088.7 2506.1 423.13 2084.6 2507.7 428.68 2080.S 2509.2 434.03 2076.7 2510.7 439.20 2072.9 2512.1 417.46 2258.0 2675.5 1.3026 6.0568 7.3594 423.24 2254.4 2677.6 1.3181 6.0249 7.3430 428.79 2250.9 2679.7 13329 5.9944 -7.3273 434.15 2247.5 2681.7 13471 5.9653 7.3124 439.32 2244.2 2683.5 17.864 2538 S 2717.1 T8.593 2565.1 2751.0 5.6589 19.253 2588.8 2781.3 5.7103 305 310 315 18.626 2580.0 2770.0 5.6848 320 17.197 2526 9 2702.3 17.950 2555.T 2738.2 5.6309 5.6011 3.5697 1.3608 5.9373 7.2981 19.861 2610.4 2809.1 5.7568 20.429' 2630.4 2834.7 5.7996 20.964 2649.1 2858.7 5.8392 21.472 2666.6 2881.4 5.8763 21.957 2683.3 2902.9 19,244 2602.5 2798.8 19.819 2623.2. 2825.4 20.358 2642.S 2850.1 20.869 2660.6 2873.4 21.355 2677.6 2895.5 5.7332 325 5.7774 330 5.8183 335 5.8564 340 5.9112 5.3922 345 22.42 2699.2 2923.4 5.9443 23.31 2729.1 2962.1 24.14 2756.9 2998.3 6.0626 24.93 2783.2 3032.5 6.1154 25.68 2808.3 3065.1 6.1650 21.82 2693.9 2916.5 22.70 2724.4 2955.9 23.53 2752.7 2992,7 24.31 2779.4 3027.4 6.1000 25.06 2804.8 3060.4 5.9261 5.9889 6.0465 350 360 370 380 390 6.0060 6.1503 26.41 2832.4 3096.5 6.2120 27.11 2855.7 3126.8 6.2567 27.80 2878.4 3156.3 6.2995 28.46 2900.4 3185.1 6.3407 29.11 2922.1 3213.2 25.78 2829.1 3092.1 26.48 2852.7 3122.8 27.16 2875.5 3152.5 27.82 2897.8 3181.5 28.46 2919.6 3209,9 6.1977 400 6.2429 410 420 6.3276 430 6.3677. 440 6.2861 6.3805
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