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In an ideal Rankine cycle, steam is generated at 4.1 MPa and 480 deg. C. The condenser is at 32 deg. C. Determine: a. The cycle thermal efficiency b. For the engine with the same end states, the thermal efficiency and steam rate

In an ideal Rankine cycle, steam is generated at 4.1 MPa and 480 deg. C. The condenser is at 32 deg. C. Determine: a. The cycle thermal efficiency b. For the engine with the same end states, the thermal efficiency and steam rate

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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In an ideal Rankine cycle, steam is generated at 4.1 MPa and 480 deg. C. The condenser is at 32 deg. C. Determine:

a. The cycle thermal efficiency

b. For the engine with the same end states, the thermal efficiency and steam rate 

4.0 (250.40) 4.1 (251.87) 10v p(i Sat,) 10' 49.78 2602.3 28014 6.0701 48.53 2601.9 2800.9 6.0597 Sat. 48.60 2383.9 27803 6.0297 47.04 2380. 2773.6 240 145 49.69 200L799 6.0672 30.74 2615.5 2818.5 6.1026 51.74 2629.4 2836.3 6.1362 52.71 2642.7 2853.5 6.1683 53.65 2655.5 2870.1 6.1990 6.0074 6.0419 4917 2611. 2127 6.0822 250 155 50.17 2625.2 2830.9 6.1165 51.14 2638.8 2848.5 6.1493 52.07 2651.9 2865.4 6.1805 260 265 270 54.57 2667.9 2886.2 55.46 2680.0 2901.8 6.2568 56.33 2691.7 2917.0 6.2842 57.18 2703.2 2931.9 63108 58.02 2714.4 2946.4 6.3365 6.2285 52.98 2664.5 2881.7 6.2105 33.86 2676.7 2897.6 6.2393 54.72 2688.7 2913.0 6.2671 55.56 2700.3 2928.1 62940 56.39 2711.6 29428 63200 275 280 285 290 295 58.84 2725.3 2960.7 6.3615 60,44 2746.7 2988.5 6.4095 61.99 27674 3015.4 64553 63.51 2787.6 3041.6 64991 64.99 2807.3 3067.3 65413 58.77 2744.3 2985.3 6.3939 57.20 2722.7 2957.2 6.3453 300 310 60 30 2765.2 30125 6.4401 61.79 2785.6 3038.9 6.4843 63.25 2805 4 3064.8 6.5268 320 340 66.45 2826.7 3092.5 6.5821 67.88 2845.7 31172 6.6215 69.29 2864.6 3141.7 70.68 2883.2 3165.9 72.05 2901.6 3189 8 6.7335 64.68 2824.9 3090.1 6.5678 66.08 2844.1 3115.0 6.6075 67.47 2863.0 3139.6 6.6460 68.83 2881.7 3163.9 6.6834 70.18 2900.2 31880 6.7200 350 360 370 380 190 6.6598 6.6971 73.41 2919.9 32136 6.7690 74.75 2938.1 3237.1 6.8038 76.09 2956.2 3260.6 68379 77.41 29743 3283.9 68713 78.72 29922 3307.1 6.9041 71SI 2918.6 32118 6.7537 72.83 2936.9 3235.5 6.7906 74.13 2955.0 3259.0 6 8247 75.43 2973.1 3282.4 6.8582 76.71. 2991.2 3305.7 6.8911 400 410 420 430 440 80.02 3010.2 3330.3 6.9363 81 32 3028.I 3353.4 6.9680 82.61 3046.0 3376.4 6.9992 83.89 3063 33994 7.0299 85.16 3081.7 3422.3 7.0602 77.99 3009 1 3328.9 6.9235 79.25 3027.1 3352.0 6.9552 80.51 3045.0 3375.1 6.9865 81.77 3062.9 3398.1 7.0173 83.01 3080.8 3421.1 450 460 470 480 490 7.0476 86.43 3099.5 3445.3 7.0901 88.95 3135.3 3491.1 7.1486 91.45 J171.I 3536.9 72056 93.93 3206.9 3582.7 12612 96.39 3242.9 3628.5 T3156 84.25 3098.7 3444.1 7.0776 86.71 3134.5 3490.0 7.1362 89.16 3170.3 35359 7.1933 91.58 J2063 3581.7 72490 93.99 3242.3 3627.7 7.3035 500 520 540 560 580 98.85 3279.13674.4 7.3688 101.29 3315.3 3720.5 7421O 103.72 33518 3766.6 74720 106.13 3388.3 3812.9 7.5222 108.55 3425.1 3859J 7.5714 96.39 3218.5 3673.7 7.3568 98.77 33148 3719.7 101.15 33512 3765.9 101.51 3387.8 3812.2 7.5102 105.86 3424.7 3u58.7 7.5595 600 620 640 660 680 74089 7.4601 110.95 3462.1 39059 7.6198 11334 3499 3 1952.6 7.6673 i15.73 3536 6 1999.6 7,7141 108.21 3461.6 3905.3 7.6079 110.55 3498.8 3952.1 7.6555 ii2.88 3536.2 3999.1 7.7023 i15.21 35738 40462 1.7484 117.53 3611.7 40935 7.7938 700 720 740 1. 418.12 3574 2 4046.7 7.7601 120.50 3612.0 4094.0 7.8055 160 780 122.87 3630.0 41413 78502 i28.79 3746.1 4261.) 7.9593 119.85 3649.7 4141.1 125.63 3745.8 4260.9 7.9476 13139 384).3 4382.0 137.13 3942.2 4504.5 7.8385 134.69 3843.6 43823 8.0647 17 140.57 3942.5 4504.8 8.1669 800 850 900 950 8.0531 8.1553 142.86 4042.6 4628 4 154.30 4247.7 4880.4 8.4451 1100 165.72 4458.4 5137.8 177.13 4674.1 54003 82546 1000 158.17 4248.0 4880.6 84567 8.6376 400.5 88100 146 45 4042.9 4628.7 8.2662 8.6261 1200 8.7984 1300 44586 S138.1
Transcribed Image Text:4.0 (250.40) 4.1 (251.87) 10v p(i Sat,) 10' 49.78 2602.3 28014 6.0701 48.53 2601.9 2800.9 6.0597 Sat. 48.60 2383.9 27803 6.0297 47.04 2380. 2773.6 240 145 49.69 200L799 6.0672 30.74 2615.5 2818.5 6.1026 51.74 2629.4 2836.3 6.1362 52.71 2642.7 2853.5 6.1683 53.65 2655.5 2870.1 6.1990 6.0074 6.0419 4917 2611. 2127 6.0822 250 155 50.17 2625.2 2830.9 6.1165 51.14 2638.8 2848.5 6.1493 52.07 2651.9 2865.4 6.1805 260 265 270 54.57 2667.9 2886.2 55.46 2680.0 2901.8 6.2568 56.33 2691.7 2917.0 6.2842 57.18 2703.2 2931.9 63108 58.02 2714.4 2946.4 6.3365 6.2285 52.98 2664.5 2881.7 6.2105 33.86 2676.7 2897.6 6.2393 54.72 2688.7 2913.0 6.2671 55.56 2700.3 2928.1 62940 56.39 2711.6 29428 63200 275 280 285 290 295 58.84 2725.3 2960.7 6.3615 60,44 2746.7 2988.5 6.4095 61.99 27674 3015.4 64553 63.51 2787.6 3041.6 64991 64.99 2807.3 3067.3 65413 58.77 2744.3 2985.3 6.3939 57.20 2722.7 2957.2 6.3453 300 310 60 30 2765.2 30125 6.4401 61.79 2785.6 3038.9 6.4843 63.25 2805 4 3064.8 6.5268 320 340 66.45 2826.7 3092.5 6.5821 67.88 2845.7 31172 6.6215 69.29 2864.6 3141.7 70.68 2883.2 3165.9 72.05 2901.6 3189 8 6.7335 64.68 2824.9 3090.1 6.5678 66.08 2844.1 3115.0 6.6075 67.47 2863.0 3139.6 6.6460 68.83 2881.7 3163.9 6.6834 70.18 2900.2 31880 6.7200 350 360 370 380 190 6.6598 6.6971 73.41 2919.9 32136 6.7690 74.75 2938.1 3237.1 6.8038 76.09 2956.2 3260.6 68379 77.41 29743 3283.9 68713 78.72 29922 3307.1 6.9041 71SI 2918.6 32118 6.7537 72.83 2936.9 3235.5 6.7906 74.13 2955.0 3259.0 6 8247 75.43 2973.1 3282.4 6.8582 76.71. 2991.2 3305.7 6.8911 400 410 420 430 440 80.02 3010.2 3330.3 6.9363 81 32 3028.I 3353.4 6.9680 82.61 3046.0 3376.4 6.9992 83.89 3063 33994 7.0299 85.16 3081.7 3422.3 7.0602 77.99 3009 1 3328.9 6.9235 79.25 3027.1 3352.0 6.9552 80.51 3045.0 3375.1 6.9865 81.77 3062.9 3398.1 7.0173 83.01 3080.8 3421.1 450 460 470 480 490 7.0476 86.43 3099.5 3445.3 7.0901 88.95 3135.3 3491.1 7.1486 91.45 J171.I 3536.9 72056 93.93 3206.9 3582.7 12612 96.39 3242.9 3628.5 T3156 84.25 3098.7 3444.1 7.0776 86.71 3134.5 3490.0 7.1362 89.16 3170.3 35359 7.1933 91.58 J2063 3581.7 72490 93.99 3242.3 3627.7 7.3035 500 520 540 560 580 98.85 3279.13674.4 7.3688 101.29 3315.3 3720.5 7421O 103.72 33518 3766.6 74720 106.13 3388.3 3812.9 7.5222 108.55 3425.1 3859J 7.5714 96.39 3218.5 3673.7 7.3568 98.77 33148 3719.7 101.15 33512 3765.9 101.51 3387.8 3812.2 7.5102 105.86 3424.7 3u58.7 7.5595 600 620 640 660 680 74089 7.4601 110.95 3462.1 39059 7.6198 11334 3499 3 1952.6 7.6673 i15.73 3536 6 1999.6 7,7141 108.21 3461.6 3905.3 7.6079 110.55 3498.8 3952.1 7.6555 ii2.88 3536.2 3999.1 7.7023 i15.21 35738 40462 1.7484 117.53 3611.7 40935 7.7938 700 720 740 1. 418.12 3574 2 4046.7 7.7601 120.50 3612.0 4094.0 7.8055 160 780 122.87 3630.0 41413 78502 i28.79 3746.1 4261.) 7.9593 119.85 3649.7 4141.1 125.63 3745.8 4260.9 7.9476 13139 384).3 4382.0 137.13 3942.2 4504.5 7.8385 134.69 3843.6 43823 8.0647 17 140.57 3942.5 4504.8 8.1669 800 850 900 950 8.0531 8.1553 142.86 4042.6 4628 4 154.30 4247.7 4880.4 8.4451 1100 165.72 4458.4 5137.8 177.13 4674.1 54003 82546 1000 158.17 4248.0 4880.6 84567 8.6376 400.5 88100 146 45 4042.9 4628.7 8.2662 8.6261 1200 8.7984 1300 44586 S138.1
Table 1. Saturation: Tempera Entropy Specific Volume Sat. Vager 10, Internal Energy Sat Enthalpy Sat. Liquld Set Prem MP Sat. Vapor Sat Lid 10 Set. Vapor Evap. Ligld Erap 0006109 1.0002 206 278 01 0006113 1.0002 206 T36 .0006567 1.0002 192 577 .0007056. 1.0001 179 889 3 .0007577 1.0001 168 132 4 .0008131 1.0001 157 232 -03 2375.4 2375.3 00 2375.3 2375.3 4.15 2372.6 2376.7 8.36 2369.7 2378.1 12.56 2366.9 2379.5 16.77 2364.1 2380.9 -.02 2501.4 2301.3 OT 250132501.4 4.16 2499.0 2503.2 8.37 2496.7 2505.0 12.57 2494.3 2506.9 0001 9.1366 9.1565 0U00 9.1562 9.1562 0152 9.1147 9.1299 0305 9.0730 9.1035 0457 9.0316 9.0773 0761 8.9496 0912 8.9090 9.0003 .0008721 1.0001 147 120 6 .0009349 1.0001 137 734 25.19 2358.4 2383.6 7 .0010016 1.0002 129 017 29.38 2355.6 2385.0 .0010724 1.0002 120 917 20.98 2489.6 2510.6 25.20 2487.2 2512.4 20.97 2361.3 2382.3 1362 8.7892 8.9253 0011477 1.0003 113 386 33.59 2352.8 2386.4 37.80 2350.0 2387.8 6. 37.80 2480.1 2517.9 1510 8.7498 8.9008 .0012276 1.0004 106 379 10 0013123 1.0004 42.00 2347.2 2389.2 46.20 2344.3 2390.5 50.41 2341.5 2391.9 54.60 2338.7 2393.3 58.79 2335.9 2394,7 58.80 2468.3 2527.1 1806 8.6718 8.8524 1953 8.6332 8.8285 2099 8.5949 8.8048 42.01 2477.7 2519.8 11 .0014022 1.0005 93 784 .0014974 1.0007 99 857 50.41 2473.0 2523.4 54.60 2470.7 2525.3 13 0015983 1.0008 88 124 82 848 14 62.99 2465.9 2528.9 2245 8.5569 · 8.7814 67.19 2463.6 2530.8 71.38 2461.2 2532.6 2390 8.5191 8.7582 2535 8.4816 8.7351 15 .0017051 1.0009 77 926 .0018181 1.0011 16 62.99 2333.1 2396.1 67.18 2330.3 2397.4 71.38 2327.4 2398.8 73 333 17 .0019376 1.0012 69 044 18 .0020640 1.0014 65 038 19 0021975 1.0016 61 293 20 21 22 23 24 .002339 1.0018 57 791 .002487 10020 .002645 1.0022 31 447 .002810 1.0024 .002985 1.0027 83.95 2319.0 2402.9 88.14 2316.2 2404.3 92.32 2313.3 2405.7 96.51 2310.5 2407.0 100.70 2307.7 2408.4 100.70 2444.7 2545.4 83.96 2454.1 2538.1 2966 8.3706 8.6672 88.14 2451.8 2539.9.3109 8.3341 8.6450 92.33. 2449.4 2541.7 96.52 2447.0 2543.5 54 514 3251 8.2979 8.6229 3393 8.2618 8.6011 3534 8.2261 8.5794 48 574 45 883 25 26 27 28 29 .003169 1.0029 43 360 .003363- 1.0032 .003567 1.0035 .003782 1.0037 36 690 .004008 1.0040 34 733 104.88 2304.9 2409.8 109.06 2302.I 2411.1 113.25 2299.3 2412.5 113.25 2437.6 2550.8 117.42 2296.4 2413.9 117.43 2435.2 2552.6 121.60 2293.6 2415.2 121.61 2432.8 2554.5 .3674 8.1905 8.5580 3814 8.1552 8.5367 3954 8.1202 8.5156 4093 8.0854 8.4946 4231 8.0508 8.4739 40 994 38 774 104.89 2442.3 2547.2 109.07 2439.9 2549.0 30 .004246 1.0043 32 894 125.78 2290.8 2416.6 129.96 2288.0 2418.0 134.14 2285 2 2419.3 138.32 2282.4 2420.7 142.50 2279.5 2422.0 31 .004496 1.0046 125.79 2430.5 2556.3 4369 8.0164 8.4533 31 165 29 540 28 011 32 .004759 1.0050 129.97 2428.1 2558.1 4507 7.9822 8.4329 134.15 2425.7 2559.9 138.33 2423.4 2561.7 142.50 2421.0 2563.5 .4644 7.9483 8.4127 4781 7.9146 8.3927 4917 7.8811 8.3728. 33 .005034 1.0053 34 .005324 1.0056 26 571 18479 8 3531 234
Transcribed Image Text:Table 1. Saturation: Tempera Entropy Specific Volume Sat. Vager 10, Internal Energy Sat Enthalpy Sat. Liquld Set Prem MP Sat. Vapor Sat Lid 10 Set. Vapor Evap. Ligld Erap 0006109 1.0002 206 278 01 0006113 1.0002 206 T36 .0006567 1.0002 192 577 .0007056. 1.0001 179 889 3 .0007577 1.0001 168 132 4 .0008131 1.0001 157 232 -03 2375.4 2375.3 00 2375.3 2375.3 4.15 2372.6 2376.7 8.36 2369.7 2378.1 12.56 2366.9 2379.5 16.77 2364.1 2380.9 -.02 2501.4 2301.3 OT 250132501.4 4.16 2499.0 2503.2 8.37 2496.7 2505.0 12.57 2494.3 2506.9 0001 9.1366 9.1565 0U00 9.1562 9.1562 0152 9.1147 9.1299 0305 9.0730 9.1035 0457 9.0316 9.0773 0761 8.9496 0912 8.9090 9.0003 .0008721 1.0001 147 120 6 .0009349 1.0001 137 734 25.19 2358.4 2383.6 7 .0010016 1.0002 129 017 29.38 2355.6 2385.0 .0010724 1.0002 120 917 20.98 2489.6 2510.6 25.20 2487.2 2512.4 20.97 2361.3 2382.3 1362 8.7892 8.9253 0011477 1.0003 113 386 33.59 2352.8 2386.4 37.80 2350.0 2387.8 6. 37.80 2480.1 2517.9 1510 8.7498 8.9008 .0012276 1.0004 106 379 10 0013123 1.0004 42.00 2347.2 2389.2 46.20 2344.3 2390.5 50.41 2341.5 2391.9 54.60 2338.7 2393.3 58.79 2335.9 2394,7 58.80 2468.3 2527.1 1806 8.6718 8.8524 1953 8.6332 8.8285 2099 8.5949 8.8048 42.01 2477.7 2519.8 11 .0014022 1.0005 93 784 .0014974 1.0007 99 857 50.41 2473.0 2523.4 54.60 2470.7 2525.3 13 0015983 1.0008 88 124 82 848 14 62.99 2465.9 2528.9 2245 8.5569 · 8.7814 67.19 2463.6 2530.8 71.38 2461.2 2532.6 2390 8.5191 8.7582 2535 8.4816 8.7351 15 .0017051 1.0009 77 926 .0018181 1.0011 16 62.99 2333.1 2396.1 67.18 2330.3 2397.4 71.38 2327.4 2398.8 73 333 17 .0019376 1.0012 69 044 18 .0020640 1.0014 65 038 19 0021975 1.0016 61 293 20 21 22 23 24 .002339 1.0018 57 791 .002487 10020 .002645 1.0022 31 447 .002810 1.0024 .002985 1.0027 83.95 2319.0 2402.9 88.14 2316.2 2404.3 92.32 2313.3 2405.7 96.51 2310.5 2407.0 100.70 2307.7 2408.4 100.70 2444.7 2545.4 83.96 2454.1 2538.1 2966 8.3706 8.6672 88.14 2451.8 2539.9.3109 8.3341 8.6450 92.33. 2449.4 2541.7 96.52 2447.0 2543.5 54 514 3251 8.2979 8.6229 3393 8.2618 8.6011 3534 8.2261 8.5794 48 574 45 883 25 26 27 28 29 .003169 1.0029 43 360 .003363- 1.0032 .003567 1.0035 .003782 1.0037 36 690 .004008 1.0040 34 733 104.88 2304.9 2409.8 109.06 2302.I 2411.1 113.25 2299.3 2412.5 113.25 2437.6 2550.8 117.42 2296.4 2413.9 117.43 2435.2 2552.6 121.60 2293.6 2415.2 121.61 2432.8 2554.5 .3674 8.1905 8.5580 3814 8.1552 8.5367 3954 8.1202 8.5156 4093 8.0854 8.4946 4231 8.0508 8.4739 40 994 38 774 104.89 2442.3 2547.2 109.07 2439.9 2549.0 30 .004246 1.0043 32 894 125.78 2290.8 2416.6 129.96 2288.0 2418.0 134.14 2285 2 2419.3 138.32 2282.4 2420.7 142.50 2279.5 2422.0 31 .004496 1.0046 125.79 2430.5 2556.3 4369 8.0164 8.4533 31 165 29 540 28 011 32 .004759 1.0050 129.97 2428.1 2558.1 4507 7.9822 8.4329 134.15 2425.7 2559.9 138.33 2423.4 2561.7 142.50 2421.0 2563.5 .4644 7.9483 8.4127 4781 7.9146 8.3927 4917 7.8811 8.3728. 33 .005034 1.0053 34 .005324 1.0056 26 571 18479 8 3531 234
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