An Ideal  Rankine  Engine  receives  steam  at  10  MPa  and  350C. It expands to a pressure of 100 kPa and then condenses at the same pressure. Find the thermal efficiency, steam Rate, and heat Rate.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.11P
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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 Ideal  Rankine  Engine  receives  steam  at  10  MPa  and  350C. It expands to a pressure of 100 kPa and then condenses at the same pressure. Find the thermal efficiency, steam Rate, and heat Rate.
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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