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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 2801.4 6.0701 48.53 2601.9 2800.9 6.0597 Sat. 48.60 2385.9 27803 6.0297 47.04 2380. 27736 240 245 4969 200LI799 6.0672 30.74 2615.5 2818.5 6.1026 51.74 2629.4 2836.3 52.71 2642.7 2853.5 53.65 2655.5 2870.1 6.0074 4J 2596 27936 6.0419 49.17 2611 28127 60822 6.1362 6.1683 6.1990 250 255 260 265 270 50.17 2625.2 2830.9 6.1165 51.14 2638.8 2848.5 6.1493 52.07 2651.9 2865.4 6.1805 54.57 2667.9 2886.2 6.2285 55.46 2680.0 2901.8 6.2568 56.33 2691.7 2917.0 6.2842 57.18 2703.2 2931.9 6.3108 58.02 2714.4 2946.4 6.3365 52.98 2664.5 2881.7 6.2105 53.86 2676.7 2897.6 6.2393 54.72 2688.7 2913.0 6.2671 55.56 2100.3 2928. 62940 56.39 2711.6 29428 6.3J200 275 280 285 2 295 58.84 2725.3 2960.7 6.3615 60.44 2746.7 2988.5 6.4095 61.99 27674 3015.4 6.4553 63.51 2787.6 30416 6.4991 64.99 2807.3 3067.3 65413 57.20 2722.7 2957.2 6.3453 300 58.77 2744.3 2985.3 6.3939 310 320 330 340 60 30 2765.2 30125 6.4401 61.79 2785.6 3038.9 6.4843 63.25 2805 4 3064.8 6.5268 66.45 2826.7 3092.5 6.5821 67.88 2845.7 31172 6.6215 69.29 2864.6 3141.7 6.6598 70.68 2883.2 3165.9 6.6971 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 3188.0 6.7200 350 360 370 380 190 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 7151 2918.6 3211.8 6.7557 72.83 2936.9 3235.5 6.7906 74.13 2955.0 3259.0 75.43 2973.1 32824 68 582 76.71. 2991.2 3305.7 68911 400 410 420 430 440 6.8247 80.02 30102 3330.3 6.9363 81.32 3028.1 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 33289 6.9235 79.25 3027.1 3352.0 6.9552 80.51 3045.0 3375.1 6.9865 81.77 3052.9 3398 1 7.0173 83.01 3080.8 3421.1 450 460 470 480 490 7.0476 84.25 3098.7 3444.1 86.71 3134.5 3490.0 7.1362 89.16 3170.3 35359 7.1933 91.58 32063 3581.7 72490 93.99 3242 3 3627.7 7.3035 70776 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 7.3156 500 $20 540 560 580 98.85 3279.13674.4 7.3688 101.29 3315.3 3720.5 7.421O 103.72 33518 3766.6 7.4720 106.13 3388.3 3812.9 7.5222 108.53 3425.1 3859.3 7.5714 96.39 3218.5 3673.7 7.3568 98.77 3314 3719.7 101.15 33512 3765.9 103.51 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 19059 7.6198 11334 3499 3 19526 7.6673 115.73 3536.6 3999.6 7.714i 418.12 3574.2 4046.7 2.7601 1 20.50 3612.0 4094.0 7.8055 108.21 34616 39053 1.6079 110.55 3498.8 3952.1 76555 ii2.88 3536.2 3999.1 7.7023 115.21 3573.8 4046 2 7.7484 117.53 3611.7 40935 7.7938 700 726 740 760 780 -2 128.79 3746.1 4261.3 7.9593 119.85 3649.7 4141.1 7.8385 125.63 3745.8 42609 7.9476 131.39 3843.3 4382.0 8.0531 137.13 3942.2 4504.5 8.1553 800 850 900 950 134.69 3843.6 43823 8.0647 17 140.57 3942.5 4504.8 8.1669 28 122.87 3650.0 4141.5 78502 (46.45 4042.9 4628.7 8.2662 158.17 424S.0 4880.5 84567 8.6376 8.8100 142.86 4042.6 4628 A 8.2546 1000 154.30 4247.7 4880.4 8.4451 1100 165.72 44584 5137.8 177.13 4674.1 54003 S138.1 8.6261 1200 8.7984 1300
Transcribed Image Text:4.0 (250.40) 4.1 (251.87) 10v p(i Sat,) 10 49.78 2602.3 2801.4 6.0701 48.53 2601.9 2800.9 6.0597 Sat. 48.60 2385.9 27803 6.0297 47.04 2380. 27736 240 245 4969 200LI799 6.0672 30.74 2615.5 2818.5 6.1026 51.74 2629.4 2836.3 52.71 2642.7 2853.5 53.65 2655.5 2870.1 6.0074 4J 2596 27936 6.0419 49.17 2611 28127 60822 6.1362 6.1683 6.1990 250 255 260 265 270 50.17 2625.2 2830.9 6.1165 51.14 2638.8 2848.5 6.1493 52.07 2651.9 2865.4 6.1805 54.57 2667.9 2886.2 6.2285 55.46 2680.0 2901.8 6.2568 56.33 2691.7 2917.0 6.2842 57.18 2703.2 2931.9 6.3108 58.02 2714.4 2946.4 6.3365 52.98 2664.5 2881.7 6.2105 53.86 2676.7 2897.6 6.2393 54.72 2688.7 2913.0 6.2671 55.56 2100.3 2928. 62940 56.39 2711.6 29428 6.3J200 275 280 285 2 295 58.84 2725.3 2960.7 6.3615 60.44 2746.7 2988.5 6.4095 61.99 27674 3015.4 6.4553 63.51 2787.6 30416 6.4991 64.99 2807.3 3067.3 65413 57.20 2722.7 2957.2 6.3453 300 58.77 2744.3 2985.3 6.3939 310 320 330 340 60 30 2765.2 30125 6.4401 61.79 2785.6 3038.9 6.4843 63.25 2805 4 3064.8 6.5268 66.45 2826.7 3092.5 6.5821 67.88 2845.7 31172 6.6215 69.29 2864.6 3141.7 6.6598 70.68 2883.2 3165.9 6.6971 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 3188.0 6.7200 350 360 370 380 190 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 7151 2918.6 3211.8 6.7557 72.83 2936.9 3235.5 6.7906 74.13 2955.0 3259.0 75.43 2973.1 32824 68 582 76.71. 2991.2 3305.7 68911 400 410 420 430 440 6.8247 80.02 30102 3330.3 6.9363 81.32 3028.1 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 33289 6.9235 79.25 3027.1 3352.0 6.9552 80.51 3045.0 3375.1 6.9865 81.77 3052.9 3398 1 7.0173 83.01 3080.8 3421.1 450 460 470 480 490 7.0476 84.25 3098.7 3444.1 86.71 3134.5 3490.0 7.1362 89.16 3170.3 35359 7.1933 91.58 32063 3581.7 72490 93.99 3242 3 3627.7 7.3035 70776 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 7.3156 500 $20 540 560 580 98.85 3279.13674.4 7.3688 101.29 3315.3 3720.5 7.421O 103.72 33518 3766.6 7.4720 106.13 3388.3 3812.9 7.5222 108.53 3425.1 3859.3 7.5714 96.39 3218.5 3673.7 7.3568 98.77 3314 3719.7 101.15 33512 3765.9 103.51 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 19059 7.6198 11334 3499 3 19526 7.6673 115.73 3536.6 3999.6 7.714i 418.12 3574.2 4046.7 2.7601 1 20.50 3612.0 4094.0 7.8055 108.21 34616 39053 1.6079 110.55 3498.8 3952.1 76555 ii2.88 3536.2 3999.1 7.7023 115.21 3573.8 4046 2 7.7484 117.53 3611.7 40935 7.7938 700 726 740 760 780 -2 128.79 3746.1 4261.3 7.9593 119.85 3649.7 4141.1 7.8385 125.63 3745.8 42609 7.9476 131.39 3843.3 4382.0 8.0531 137.13 3942.2 4504.5 8.1553 800 850 900 950 134.69 3843.6 43823 8.0647 17 140.57 3942.5 4504.8 8.1669 28 122.87 3650.0 4141.5 78502 (46.45 4042.9 4628.7 8.2662 158.17 424S.0 4880.5 84567 8.6376 8.8100 142.86 4042.6 4628 A 8.2546 1000 154.30 4247.7 4880.4 8.4451 1100 165.72 44584 5137.8 177.13 4674.1 54003 S138.1 8.6261 1200 8.7984 1300
Table 1. Saturation: Temper Entropy Specific Volume Sat. Vager 10 Internal Energy Enthalpy Sat. Liguld Set. Sat. Vapor Prem Sat. Sat. Li Set. Vapor Evap. Liuld Erp P. 10, 0006109 1.0002 206 278 01 0006T13 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.d 25013 OT 2501.32501.4 4.16 2499.0 2503.2 8.37 2496.7 2505.0 12.57 2494.3 2506.9 -0001 9.1366 9.1565 0000 9.1562 9.1562 0152 9.1147 9.1299 0305 9.0730 9.1035 0457 9.0316 9.0773 5 .0008721 1.0001 147 1 20 6 .0009349 1.0001 137 734 7.0010016 1.0002 129 017 8.0010724 1.0002 120 917 .0011477 1.0003 113 386 20.97 2361.3 2382.3 25.19 2358.4 2383.6 29.38 2355.6 2385.0 33.59 2352.8 2386.4 37.80 2350.0 2387.8 20.98 2489.6 2510.6 25.20 2487.2 2512.4 0761 8.9496 9.0257 0912 8.9090 9.0003 1212 8.8289 8.9501 1362 8.7892 8.9253 33.60 2482.5 2516.1 37.80 2480.1 2517.9 6. 42.01 2477.7 2519.8 46.20 2475.4 2521.6 50.41 2473.0 2523.4 54.60 2470.7 2525.3 58.80 2468.3 2527.1 1510 8.7498 8.9008 1658 8.7107 8.8765 1806 8.6718 8.8524 1953 8.6332 8.8285 2099 8.5949 8.8048 .0012276 1.0004 106 379 10 11 .0013123 1.0004 12 0014022 1.0005 13. .0014974 1.0007 99 857 93 784 88 124 14 0015983 i.0008 82 848 58.79 2335.9 2394.7 42.00 2347.2 2389.2 46.20 2344.3 2390.5 50.41 2341.5 2391.9 54.60 2338,7 2393.3 62.99 2465.9 2528.9 2245 8.5569 8.7814 67.19 2463.6 2530.8 71.38 2461.2 2532.6 75.58 2458.8 2534.4.2679 8.4443 8.7123 15 .0017051 1.0009 16 .0018181 1.0011 77 926 73 333 62.99 2333.1 2396.1 67.18 2330.3 2397.4 71.38 2327.4 2398.8 2390 8.5191 8.7582 2535 8.4816 8.7351 17 .0019376 1.0012 69 044 18 .0020640 1.0014 65 038 75.57 2324.6 2400.2 19 20 21 22 23 24 .002339 1.0018 .002487 1020 54 514 88.14 2316.2 2404.3 .002645 1.0022 51 447 .002810 1.0024 .002985 1.0027 83.96 2454.1 2538.1 2966 8.3706 8.6672 88.14 2451.8 2539.9 .3109 8.3341 8.6450 57 791 83.95 2319.0 2402.9 92.32 2313.3 2405.7 96.51 2310.5. 2407.0 100.70 2307.7 2408.4 100.70 2444.7 2545.4 92.33. 2449.4 2541.7 96.52 2447.0 2543.5 3251 8.2979 8.6229 3393 8.2618 8.6011 3534 8.2261 8.5794 48 574 45 883 25 26 27 .003567 1.0035 38 774 113.25 2299.3 2412.5 28 29 .003169 1.0029 .003363- 1.0032 104.88 2304.9 2409.8 40 994 109.06 2302.1 2411.1 43 360 .3674 8.1905 8.5580 104.89 2442.3 2547.2 109.07 2439.9 2549.0 3814 8.1552 8.5367 3954 8.1202 8.5156 4093 8.0854 8.4946 4231 8.0508 8.4739 113.25 2437.6 2550.8 .003782 1.0037 36 690 117.42 2296.4 2413.9 117.43 2435.2 2552.6 004008 1.0040 34 733 121.60 2293.6 2415.2 121.61 2432.8 2554.5 30 31 32 33 34 .004246 1.0043 .004496 1.0046 31 165 129.96 2288.0 2418,0 .004759 1.0050 .005034 1.0053 .005324 1.0056 26 571 32 894 125.78 2290.8 2416.6 125.79 2430.5 2556.3 129.97 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 4369 8.0164 8.4533 29 540 28 011 134.14 2285 2 2419.3 138.32 2282.4 2420.7 142.50 2279.5 2422.0 4644 7.9483 8.4127 4781 7.9146 8.3927 4917 7.8811 8.3728. 83531
Transcribed Image Text:Table 1. Saturation: Temper Entropy Specific Volume Sat. Vager 10 Internal Energy Enthalpy Sat. Liguld Set. Sat. Vapor Prem Sat. Sat. Li Set. Vapor Evap. Liuld Erp P. 10, 0006109 1.0002 206 278 01 0006T13 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.d 25013 OT 2501.32501.4 4.16 2499.0 2503.2 8.37 2496.7 2505.0 12.57 2494.3 2506.9 -0001 9.1366 9.1565 0000 9.1562 9.1562 0152 9.1147 9.1299 0305 9.0730 9.1035 0457 9.0316 9.0773 5 .0008721 1.0001 147 1 20 6 .0009349 1.0001 137 734 7.0010016 1.0002 129 017 8.0010724 1.0002 120 917 .0011477 1.0003 113 386 20.97 2361.3 2382.3 25.19 2358.4 2383.6 29.38 2355.6 2385.0 33.59 2352.8 2386.4 37.80 2350.0 2387.8 20.98 2489.6 2510.6 25.20 2487.2 2512.4 0761 8.9496 9.0257 0912 8.9090 9.0003 1212 8.8289 8.9501 1362 8.7892 8.9253 33.60 2482.5 2516.1 37.80 2480.1 2517.9 6. 42.01 2477.7 2519.8 46.20 2475.4 2521.6 50.41 2473.0 2523.4 54.60 2470.7 2525.3 58.80 2468.3 2527.1 1510 8.7498 8.9008 1658 8.7107 8.8765 1806 8.6718 8.8524 1953 8.6332 8.8285 2099 8.5949 8.8048 .0012276 1.0004 106 379 10 11 .0013123 1.0004 12 0014022 1.0005 13. .0014974 1.0007 99 857 93 784 88 124 14 0015983 i.0008 82 848 58.79 2335.9 2394.7 42.00 2347.2 2389.2 46.20 2344.3 2390.5 50.41 2341.5 2391.9 54.60 2338,7 2393.3 62.99 2465.9 2528.9 2245 8.5569 8.7814 67.19 2463.6 2530.8 71.38 2461.2 2532.6 75.58 2458.8 2534.4.2679 8.4443 8.7123 15 .0017051 1.0009 16 .0018181 1.0011 77 926 73 333 62.99 2333.1 2396.1 67.18 2330.3 2397.4 71.38 2327.4 2398.8 2390 8.5191 8.7582 2535 8.4816 8.7351 17 .0019376 1.0012 69 044 18 .0020640 1.0014 65 038 75.57 2324.6 2400.2 19 20 21 22 23 24 .002339 1.0018 .002487 1020 54 514 88.14 2316.2 2404.3 .002645 1.0022 51 447 .002810 1.0024 .002985 1.0027 83.96 2454.1 2538.1 2966 8.3706 8.6672 88.14 2451.8 2539.9 .3109 8.3341 8.6450 57 791 83.95 2319.0 2402.9 92.32 2313.3 2405.7 96.51 2310.5. 2407.0 100.70 2307.7 2408.4 100.70 2444.7 2545.4 92.33. 2449.4 2541.7 96.52 2447.0 2543.5 3251 8.2979 8.6229 3393 8.2618 8.6011 3534 8.2261 8.5794 48 574 45 883 25 26 27 .003567 1.0035 38 774 113.25 2299.3 2412.5 28 29 .003169 1.0029 .003363- 1.0032 104.88 2304.9 2409.8 40 994 109.06 2302.1 2411.1 43 360 .3674 8.1905 8.5580 104.89 2442.3 2547.2 109.07 2439.9 2549.0 3814 8.1552 8.5367 3954 8.1202 8.5156 4093 8.0854 8.4946 4231 8.0508 8.4739 113.25 2437.6 2550.8 .003782 1.0037 36 690 117.42 2296.4 2413.9 117.43 2435.2 2552.6 004008 1.0040 34 733 121.60 2293.6 2415.2 121.61 2432.8 2554.5 30 31 32 33 34 .004246 1.0043 .004496 1.0046 31 165 129.96 2288.0 2418,0 .004759 1.0050 .005034 1.0053 .005324 1.0056 26 571 32 894 125.78 2290.8 2416.6 125.79 2430.5 2556.3 129.97 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 4369 8.0164 8.4533 29 540 28 011 134.14 2285 2 2419.3 138.32 2282.4 2420.7 142.50 2279.5 2422.0 4644 7.9483 8.4127 4781 7.9146 8.3927 4917 7.8811 8.3728. 83531
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