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Steam is the working fluid in an ideal Rankine cycle with superheat and reheat. Steam enters the first-stage turbine at 8.0 MPa, 480°C, and expands to 0.7 MPa. It is then reheated to 440°C before entering the second-stage turbine, where it expands to the condenser pressure of 0.008 MPa. The net power output is 100 MW. Determine (i) the thermal efficiency of the cycle, (ii)the mass flow rate of steam, in kg/h, (iii) the rate of heat transfer from the condensing steam as it passes through the condenser, in MW.  *use the steam tables below and in the attached filed and show step by step working    8Mpa  T  oC V  m3/kg h   KJ/Kg u KJ/Kg s KJ/(kg.K) 450 0.0382 3273.60 2968.36 6.5576 500 0.0417 3398.36 3064.76 6.7245

Steam is the working fluid in an ideal Rankine cycle with superheat and reheat. Steam enters the first-stage turbine at 8.0 MPa, 480°C, and expands to 0.7 MPa. It is then reheated to 440°C before entering the second-stage turbine, where it expands to the condenser pressure of 0.008 MPa. The net power output is 100 MW. Determine (i) the thermal efficiency of the cycle, (ii)the mass flow rate of steam, in kg/h, (iii) the rate of heat transfer from the condensing steam as it passes through the condenser, in MW.  *use the steam tables below and in the attached filed and show step by step working    8Mpa  T  oC V  m3/kg h   KJ/Kg u KJ/Kg s KJ/(kg.K) 450 0.0382 3273.60 2968.36 6.5576 500 0.0417 3398.36 3064.76 6.7245

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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.
Chapter5: Analysis Of Convection Heat Transfer
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Steam is the working fluid in an ideal Rankine cycle with superheat and reheat. Steam enters
the first-stage turbine at 8.0 MPa, 480°C, and expands to 0.7 MPa. It is then reheated to 440°C
before entering the second-stage turbine, where it expands to the condenser pressure of 0.008
MPa. The net power output is 100 MW.

Determine

(i) the thermal efficiency of the cycle,

(ii)the mass flow rate of steam, in kg/h,

(iii) the rate of heat transfer from the condensing steam as
it passes through the condenser, in MW. 

*use the steam tables below and in the attached filed and show step by step working 

 

8Mpa 

T 

oC

V 

m3/kg

h  

KJ/Kg

u

KJ/Kg

s

KJ/(kg.K)
450 0.0382 3273.60 2968.36 6.5576
500 0.0417 3398.36 3064.76 6.7245
P kPa 1 2 3 4 5 67 7 8 9 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 I °C 6.99 17.50 24.09 28.98 32.90 36.19 39.03 Vf Vg m²/kg m²/kg 0.000997 128.97 128.97 0.001000 67.00 0.001002 45.66 0.001003 34.79 0.001005 28.19 hg hfg Ug Ufg Sf kJ/(kg K) Sg kJ/(kg K) kJ/kg kJ/kg kJ/kg kJ/kg kJ/(kg K) 29.40 8.9770 8.8713 67.00 73.42 8.7254 8.4648 45.66 8.2247 100.97 34.79 121.38 28.18 137.74 8.3314 7.8106 8.2768 7.7178 8.2296 16.20 8.1881 8.1510 2514.61 2485.21 29.40 2385.64 2356.24 0.1058 2534.32 2460.90 73.42 2400.31 2326.89 0.2606 2546.23 2445.26 100.97 2409.25 2308.28 0.3544 8.5791 2554.99 2433.61 121.38 2415.82 2294.44 0.4225 8.4759 8.0534 2561.99 2424.25 137.73 2421.06 2283.33 0.4763 8.3963 7.9200 23.73 151.46 2567.86 2416.40 151.45 2425.46 2274.00 0.5208 20.52 163.32 2572.92 2409.60 163.32 2429.25 2265.93 0.5590 18.10 173.80 2577.38 2403.58 173.79 2432.59 2258.79 0.5924 183.21 2581.38 2398.17 183.20 2435.58 2252.38 0.6221 191.75 2585.00 2393.25 191.74 2438.29 2246.55 0.6489 225.85 2599.36 2373.51 225.84 2449.04 2223.20 0.7543 8.0091 251.31 2609.96 2358.65 251.29 2456.97 2205.68 0.8313 7.9090 271.83 2618.41 2346.58 271.80 2463.30 2191.49 0.8924 7.8318 289.13 2625.46 2336.33 289.10 2468.58 2179.48 0.9432 7.7689 2327.37 304.11 2473.12 2169.01 0.9869 7.7159 2319.39 317.42 2477.11 2159.69 1.0252 7.6702 2312.16 329.40 2480.68 2151.27 1.0594 7.6299 340.32 2483.90 2143.58 1.0903 7.5939 350.36 2486.84 2136.48 1.1185 7.5615 359.67 2489.55 2129.89 1.1446 7.5319 368.42 2656.82 2288.40 368.35 2492.07 2123.72 1.1687 7.5047 376.57 2659.94 2283.38 376.49 2494.41 2117.92 1.1912 7.4795 384.25 2662.87 2278.62 384.17 2496.61 2112.43 1.2123 7.4561 391.52 2665.63 14.67 10.02 7.65 6.20 5.23 4.52 304.15 2631.52 3.99 317.46 2636.85 3.58 329.45 2641.61 3.24 340.37 2645.91 2305.54 350.42 2649.84 2299.43 359.73 2653.46 2293.73 6.3873 6.3360 2.96 2.73 2.53 2.36 2.22 2.09 6.2883 6.2438 2274.11 391.44 2498.67 2107.23 1.2322 7.4343 6.2021 0.001006 23.73 0.001007 20.52 41.54 0.001008 18.10 43.79 0.001009 16.20 45.84 0.001010 14.67 0.001014 10.02 0.001017 7.65 54.00 60.09 64.99 0.001020 6.20 69.13 0.001022 5.23 72.71 0.001024 4.53 75.89 0.001026 3.99 78.74 0.001028 3.58 81.35 83.74 0.001030 3.24 0.001031 2.96 0.001033 2.73 85.96 88.02 0.001034 2.53 0.001036 2.36 89.96 91.79 0.001037 2.22 93.51 0.001038 2.09 Vfg he kJ/kg Uf kJ/kg 7.6372 7.5660 7.5021 7.2547 7.0777 6.9394 6.8257 6.7291 6.6450 6.5705 6.5036 6.4429
Transcribed Image Text:P kPa 1 2 3 4 5 67 7 8 9 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 I °C 6.99 17.50 24.09 28.98 32.90 36.19 39.03 Vf Vg m²/kg m²/kg 0.000997 128.97 128.97 0.001000 67.00 0.001002 45.66 0.001003 34.79 0.001005 28.19 hg hfg Ug Ufg Sf kJ/(kg K) Sg kJ/(kg K) kJ/kg kJ/kg kJ/kg kJ/kg kJ/(kg K) 29.40 8.9770 8.8713 67.00 73.42 8.7254 8.4648 45.66 8.2247 100.97 34.79 121.38 28.18 137.74 8.3314 7.8106 8.2768 7.7178 8.2296 16.20 8.1881 8.1510 2514.61 2485.21 29.40 2385.64 2356.24 0.1058 2534.32 2460.90 73.42 2400.31 2326.89 0.2606 2546.23 2445.26 100.97 2409.25 2308.28 0.3544 8.5791 2554.99 2433.61 121.38 2415.82 2294.44 0.4225 8.4759 8.0534 2561.99 2424.25 137.73 2421.06 2283.33 0.4763 8.3963 7.9200 23.73 151.46 2567.86 2416.40 151.45 2425.46 2274.00 0.5208 20.52 163.32 2572.92 2409.60 163.32 2429.25 2265.93 0.5590 18.10 173.80 2577.38 2403.58 173.79 2432.59 2258.79 0.5924 183.21 2581.38 2398.17 183.20 2435.58 2252.38 0.6221 191.75 2585.00 2393.25 191.74 2438.29 2246.55 0.6489 225.85 2599.36 2373.51 225.84 2449.04 2223.20 0.7543 8.0091 251.31 2609.96 2358.65 251.29 2456.97 2205.68 0.8313 7.9090 271.83 2618.41 2346.58 271.80 2463.30 2191.49 0.8924 7.8318 289.13 2625.46 2336.33 289.10 2468.58 2179.48 0.9432 7.7689 2327.37 304.11 2473.12 2169.01 0.9869 7.7159 2319.39 317.42 2477.11 2159.69 1.0252 7.6702 2312.16 329.40 2480.68 2151.27 1.0594 7.6299 340.32 2483.90 2143.58 1.0903 7.5939 350.36 2486.84 2136.48 1.1185 7.5615 359.67 2489.55 2129.89 1.1446 7.5319 368.42 2656.82 2288.40 368.35 2492.07 2123.72 1.1687 7.5047 376.57 2659.94 2283.38 376.49 2494.41 2117.92 1.1912 7.4795 384.25 2662.87 2278.62 384.17 2496.61 2112.43 1.2123 7.4561 391.52 2665.63 14.67 10.02 7.65 6.20 5.23 4.52 304.15 2631.52 3.99 317.46 2636.85 3.58 329.45 2641.61 3.24 340.37 2645.91 2305.54 350.42 2649.84 2299.43 359.73 2653.46 2293.73 6.3873 6.3360 2.96 2.73 2.53 2.36 2.22 2.09 6.2883 6.2438 2274.11 391.44 2498.67 2107.23 1.2322 7.4343 6.2021 0.001006 23.73 0.001007 20.52 41.54 0.001008 18.10 43.79 0.001009 16.20 45.84 0.001010 14.67 0.001014 10.02 0.001017 7.65 54.00 60.09 64.99 0.001020 6.20 69.13 0.001022 5.23 72.71 0.001024 4.53 75.89 0.001026 3.99 78.74 0.001028 3.58 81.35 83.74 0.001030 3.24 0.001031 2.96 0.001033 2.73 85.96 88.02 0.001034 2.53 0.001036 2.36 89.96 91.79 0.001037 2.22 93.51 0.001038 2.09 Vfg he kJ/kg Uf kJ/kg 7.6372 7.5660 7.5021 7.2547 7.0777 6.9394 6.8257 6.7291 6.6450 6.5705 6.5036 6.4429
MPa MPa S u Т S T V S u °C m²/kg °C m²/kg kJ/kg kJ/kg kJ/kg kJ/(kg-K) 2772.27 2578.79 6.6191 0.2304 2833.34 2625.94 6.7517 P=0.8 T h kJ/kg kJ/(kg.K) °C m²/kg kJ/kg kJ/kg kJ/(kg-K) 164.95 0.2728 2762.13 2571.14 6.7050 170.40 0.2404 2767.61 2575.27 6.6595 175.35 0.2150 200 0.3001 2844.77 2634.73 6.8867 200 0.2609 2839.14 2630.40 6.8157 200 250 0.3365 2953.72 2718.18 7.1057 250 0.2933 2950.14 2715.49 7.0389 250 0.2597 2946.51 2712.76 6.9792 300 0.3715 3058.82 2798.77 7.2976 300 0.3242 3056.29 2796.89 7.2327 300 0.2875 3053.73 2795.00 7.1750 350 0.4058 3162.98 2878.90 7.4718 350 0.3545 3161.06 2877.49 7.4080 350 0.3145 3159.13 2876.07 7.3513 400 0.4398 3267.41 2959.57 7.6330 400 0.3843 3265.89 2958.46 7.5697 400 0.3411 3264.36 2957.34 7.5137 450 0.4735 3372.69 3041.26 7.7839 450 0.4139 3371.44 3040.35 7.7210 450 0.3675 3370.19 3039.44 7.6654 500 0.5070 3479.14 3124.25 7.9262 500 0.4433 3478.09 3123.48 7.8636 500 0.3937 3477.04 3122.71 7.8082 550 0.5404 3586.96 3208.67 8.0613 550 0.4726 3586.06 3208.01 7.9989 550 0.4198 3585.16 3207.35 7.9437 600 0.5737 3696.26 3294.65 8.1902 600 0.5018 3695.49 3294.07 8.1279 600 0.4458 3694.71 3293.49 8.0729 650 0.6070 3807.14 3382.24 8.3137 650 0.5309 3806.46 3381.72 8.2515 650 0.4717 3805.78 3381.21 8.1966 700 0.6402 3919.65 3471.49 8.4324 700 0.5600 3919.05 3471.03 8.3703 700 0.4976 3918.44 3470.57 8.3154 750 0.6734 4033.83 3562.44 8.5468 750 0.5891 4033.29 3562.02 8.4847 750 0.5235 4032.75 3561.60 8.4300 800 0.7066 4149.72 3655.12 8.6573 800 0.6181 4149.23 3654.73 8.5954 800 0.5493 4148.75 3654.35 8.5406 850 0.7397 4267.34 3749.54 8.7644 850 0.6471 4266.90 3749.19 8.7025 850 0.5751 4266.46 3748.83 8.6478 900 0.7728 4386.70 3845.73 8.8684 900 0.6761 4386.31 3845.40 8.8065 900 0.6009 4385.91 3845.07 8.7519 950 0.8059 4507.84 3943.69 8.9695 950 0.7051 4507.48 3943.39 8.9077 950 0.6267 4507.12 3943.08 8.8531 1000 0.8390 4630.76 4043.45 9.0680 1000 0.7341 4630.43 4043.16 9.0062 1000 0.6525 4630.10 4042.88 8.9516 1050 0.8721 4755.46 4145.00 9.1641 1050 0.7630 4755.16 4144.74 9.1023 1050 0.6782 4754.86 4144.47 9.0477 1100 0.9051 4881.97 4248.37 9.2579 1100 0.7920 4881.69 4248.11 9.1961 1100 0.7040 4881.42 4247.86 9.1416 1150 0.9382 5010.29 4353.54 9.3497 1150 0.8209 5010.03 4353.30 9.2879 1150 0.7297 5009.78 4353.06 9.2334 1200 0.9713 5140.42 4460.54 9.4396 1200 0.8498 5140.18 4460.31 9.3778 1200 0.7554 5139.95 4460.09 9.3233 1250 1.0043 5272.37 4569.37 9.5276 1250 0.8788 5272.15 4569.15 9.4659 1250 0.7811 5271.94 4568.93 9.4114 1300 1.0373 5406.15 4680.02 9.6140 1300 0.9077 5405.95 4679.81 9.5523 1300 0.8068 5405.75 4679.61 9.4978 P=0.7 P=0.9 h MPa u
Transcribed Image Text:MPa MPa S u Т S T V S u °C m²/kg °C m²/kg kJ/kg kJ/kg kJ/kg kJ/(kg-K) 2772.27 2578.79 6.6191 0.2304 2833.34 2625.94 6.7517 P=0.8 T h kJ/kg kJ/(kg.K) °C m²/kg kJ/kg kJ/kg kJ/(kg-K) 164.95 0.2728 2762.13 2571.14 6.7050 170.40 0.2404 2767.61 2575.27 6.6595 175.35 0.2150 200 0.3001 2844.77 2634.73 6.8867 200 0.2609 2839.14 2630.40 6.8157 200 250 0.3365 2953.72 2718.18 7.1057 250 0.2933 2950.14 2715.49 7.0389 250 0.2597 2946.51 2712.76 6.9792 300 0.3715 3058.82 2798.77 7.2976 300 0.3242 3056.29 2796.89 7.2327 300 0.2875 3053.73 2795.00 7.1750 350 0.4058 3162.98 2878.90 7.4718 350 0.3545 3161.06 2877.49 7.4080 350 0.3145 3159.13 2876.07 7.3513 400 0.4398 3267.41 2959.57 7.6330 400 0.3843 3265.89 2958.46 7.5697 400 0.3411 3264.36 2957.34 7.5137 450 0.4735 3372.69 3041.26 7.7839 450 0.4139 3371.44 3040.35 7.7210 450 0.3675 3370.19 3039.44 7.6654 500 0.5070 3479.14 3124.25 7.9262 500 0.4433 3478.09 3123.48 7.8636 500 0.3937 3477.04 3122.71 7.8082 550 0.5404 3586.96 3208.67 8.0613 550 0.4726 3586.06 3208.01 7.9989 550 0.4198 3585.16 3207.35 7.9437 600 0.5737 3696.26 3294.65 8.1902 600 0.5018 3695.49 3294.07 8.1279 600 0.4458 3694.71 3293.49 8.0729 650 0.6070 3807.14 3382.24 8.3137 650 0.5309 3806.46 3381.72 8.2515 650 0.4717 3805.78 3381.21 8.1966 700 0.6402 3919.65 3471.49 8.4324 700 0.5600 3919.05 3471.03 8.3703 700 0.4976 3918.44 3470.57 8.3154 750 0.6734 4033.83 3562.44 8.5468 750 0.5891 4033.29 3562.02 8.4847 750 0.5235 4032.75 3561.60 8.4300 800 0.7066 4149.72 3655.12 8.6573 800 0.6181 4149.23 3654.73 8.5954 800 0.5493 4148.75 3654.35 8.5406 850 0.7397 4267.34 3749.54 8.7644 850 0.6471 4266.90 3749.19 8.7025 850 0.5751 4266.46 3748.83 8.6478 900 0.7728 4386.70 3845.73 8.8684 900 0.6761 4386.31 3845.40 8.8065 900 0.6009 4385.91 3845.07 8.7519 950 0.8059 4507.84 3943.69 8.9695 950 0.7051 4507.48 3943.39 8.9077 950 0.6267 4507.12 3943.08 8.8531 1000 0.8390 4630.76 4043.45 9.0680 1000 0.7341 4630.43 4043.16 9.0062 1000 0.6525 4630.10 4042.88 8.9516 1050 0.8721 4755.46 4145.00 9.1641 1050 0.7630 4755.16 4144.74 9.1023 1050 0.6782 4754.86 4144.47 9.0477 1100 0.9051 4881.97 4248.37 9.2579 1100 0.7920 4881.69 4248.11 9.1961 1100 0.7040 4881.42 4247.86 9.1416 1150 0.9382 5010.29 4353.54 9.3497 1150 0.8209 5010.03 4353.30 9.2879 1150 0.7297 5009.78 4353.06 9.2334 1200 0.9713 5140.42 4460.54 9.4396 1200 0.8498 5140.18 4460.31 9.3778 1200 0.7554 5139.95 4460.09 9.3233 1250 1.0043 5272.37 4569.37 9.5276 1250 0.8788 5272.15 4569.15 9.4659 1250 0.7811 5271.94 4568.93 9.4114 1300 1.0373 5406.15 4680.02 9.6140 1300 0.9077 5405.95 4679.81 9.5523 1300 0.8068 5405.75 4679.61 9.4978 P=0.7 P=0.9 h MPa u
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Enthalpy at the exit of turbine 1 becomes,

h2 = 697 + 0.989 × 2065.8h2 = 2740.07 kJkg/

where did you obtain 697? and also 2065.8? it supposed to be hf and hfg but it wasnt found in the steam table given

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how do you workout the linear interpolation from process 1-2 the step by step working would be helpful and a diagram if necessary

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