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An ideal Rankine cycle operates between the pressures of 50kPa and 7000kPa. If the turbine outlet is maintained at 90% steam quality, calculate the thermal efficiency of the cycle.

An ideal Rankine cycle operates between the pressures of 50kPa and 7000kPa. If the turbine outlet is maintained at 90% steam quality, calculate the thermal efficiency of the cycle.

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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An ideal Rankine cycle operates between the pressures of 50kPa and 7000kPa. If the turbine outlet is maintained at 90% steam quality, calculate the thermal efficiency of the cycle.



a.0.3269
b.0.3229
c.0.3486
d.0.3473
Saturated water-Pressure table 50 10 15 Specific volume, m3/kg 20 25 30 40 50 Internal energy, kJ/kg Sat. Sat. Sat. Press., temp., liquid, vapor, PkPa Tat °C Vr V₂ 1.0 0.001000 129.19 6.97 13.02 0.001001 87.964 1.5 2.0 17.50 0.001001 66.990 2.5 21.08 0.001002 54.242 3.0 24.08 0.001003 45.654 4.0 28.96 0.001004 34.791 121.39 2293.1 2414.5 121.39 2432.3 2553.7 0.4224 8.0510 8.4734 5.0 32.87 0.001005 28.185 137.75 2282.1 2419.8 137.75 2423.0 2560.7 0.4762 7.9176 8.3938 7.5 40.29 0.001008 19.233 168.74 2261.1 2429.8 168.75 2405.3 2574.0 0.5763 7.6738 8.2501 45.81 0.001010 14.670 191.79 2245.4 2437.2 191.81 2392.1 2583.9 0.6492 7.4996 8.1488 53.97 0.001014 10.020 225.93 2222.1 2448.0 225.94 2372.3 2598.3 0.7549 7.2522 8.0071 60.06 0.001017 7.6481 251.40 2204.6 2456.0 251.42 2357.5 2608.9 0.8320 7.0752 7.9073 64.96 0.001020 6.2034 271.93 2190.4 2462.4 271.96 2345.5 2617.5 0.8932 6.9370 7.8302 69.09 0.001022 5.2287 289.24 2178.5 2467.7 289.27 2335.3 2624.6 0.9441 6.8234 7.7675 75.86 0.001026 3.9933 317.58 2158.8 2476.3 317.62 2318.4 2636.1 1.0261 6.6430 7.6691 81.32 0.001030 3.2403 340.49 2142.7 2483.2 340.54 2304.7 2645.2 1.0912 6.5019 7.5931 91.76 0.001037 2.2172 384.36 2111.8 2496.1 384.44 2278.0 2662.4 1.2132 6.2426 7.4558 100 99.61 0.001043 1.6941 417.40 2088.2 2505.6 417.51 2257.5 2675.0 1.3028 6.0562 7.3589 101.325 99.97 0.001043 1.6734 418.95 2087.0 2506.0 419.06 2256.5 2675.6 1.3069 6.0476 7.3545 2068.8 2513.0 444.36 2240.6 2684.9 1.3741 5.9100 7.2841 2052.3 2519.2 467.13 2226.0 2693.1 1.4337 5.7894 7.2231 75 125 105.97 0.001048 1.3750 444.23 150 111.35 0.001053 1.1594 466.97 Sat. liquid, U₁ Sat. Sat. Sat. vapor, liquid, Evap., vapor, hg Sy Sag Sp 29.302 2355.2 54.686 2338.1 2384.5 29.303 2484.4 2513.7 0.1059 8.8690 8.9749 2392.8 54.688 2470.1 2524.7 0.1956 8.6314 8.8270 73.431 2325.5 2398.9 73.433 2459.5 2532.9 0.2606 8.4621 8.7227 88.422 2315.4 2403.8 88.424 2451.0 2539.4 0.3118 8.3302 8.6421 100.98 2306.9 2407.9 100.98 2443.9 2544.8 0.3543 8.2222 8.5765 Enthalpy, kJ/kg Evap., Sat. vapor, U₂ Entropy, kJ/kg-K Sat. liquid, Evap., h₂
Transcribed Image Text:Saturated water-Pressure table 50 10 15 Specific volume, m3/kg 20 25 30 40 50 Internal energy, kJ/kg Sat. Sat. Sat. Press., temp., liquid, vapor, PkPa Tat °C Vr V₂ 1.0 0.001000 129.19 6.97 13.02 0.001001 87.964 1.5 2.0 17.50 0.001001 66.990 2.5 21.08 0.001002 54.242 3.0 24.08 0.001003 45.654 4.0 28.96 0.001004 34.791 121.39 2293.1 2414.5 121.39 2432.3 2553.7 0.4224 8.0510 8.4734 5.0 32.87 0.001005 28.185 137.75 2282.1 2419.8 137.75 2423.0 2560.7 0.4762 7.9176 8.3938 7.5 40.29 0.001008 19.233 168.74 2261.1 2429.8 168.75 2405.3 2574.0 0.5763 7.6738 8.2501 45.81 0.001010 14.670 191.79 2245.4 2437.2 191.81 2392.1 2583.9 0.6492 7.4996 8.1488 53.97 0.001014 10.020 225.93 2222.1 2448.0 225.94 2372.3 2598.3 0.7549 7.2522 8.0071 60.06 0.001017 7.6481 251.40 2204.6 2456.0 251.42 2357.5 2608.9 0.8320 7.0752 7.9073 64.96 0.001020 6.2034 271.93 2190.4 2462.4 271.96 2345.5 2617.5 0.8932 6.9370 7.8302 69.09 0.001022 5.2287 289.24 2178.5 2467.7 289.27 2335.3 2624.6 0.9441 6.8234 7.7675 75.86 0.001026 3.9933 317.58 2158.8 2476.3 317.62 2318.4 2636.1 1.0261 6.6430 7.6691 81.32 0.001030 3.2403 340.49 2142.7 2483.2 340.54 2304.7 2645.2 1.0912 6.5019 7.5931 91.76 0.001037 2.2172 384.36 2111.8 2496.1 384.44 2278.0 2662.4 1.2132 6.2426 7.4558 100 99.61 0.001043 1.6941 417.40 2088.2 2505.6 417.51 2257.5 2675.0 1.3028 6.0562 7.3589 101.325 99.97 0.001043 1.6734 418.95 2087.0 2506.0 419.06 2256.5 2675.6 1.3069 6.0476 7.3545 2068.8 2513.0 444.36 2240.6 2684.9 1.3741 5.9100 7.2841 2052.3 2519.2 467.13 2226.0 2693.1 1.4337 5.7894 7.2231 75 125 105.97 0.001048 1.3750 444.23 150 111.35 0.001053 1.1594 466.97 Sat. liquid, U₁ Sat. Sat. Sat. vapor, liquid, Evap., vapor, hg Sy Sag Sp 29.302 2355.2 54.686 2338.1 2384.5 29.303 2484.4 2513.7 0.1059 8.8690 8.9749 2392.8 54.688 2470.1 2524.7 0.1956 8.6314 8.8270 73.431 2325.5 2398.9 73.433 2459.5 2532.9 0.2606 8.4621 8.7227 88.422 2315.4 2403.8 88.424 2451.0 2539.4 0.3118 8.3302 8.6421 100.98 2306.9 2407.9 100.98 2443.9 2544.8 0.3543 8.2222 8.5765 Enthalpy, kJ/kg Evap., Sat. vapor, U₂ Entropy, kJ/kg-K Sat. liquid, Evap., h₂
TABLE A-6 Superheated water (Continued) V U h S V m³/kg kJ/kg kJ/kg kJ/kg-K m³/kg P- 4.0 MPa (250.35°C) P-4.5 MPa (257.44°C) Sat. 2794.2 5.9737 2839.5 6.0571 0.04978 2601.7 2800.8 6.0696 0.04406 2599.7 2798.0 6.0198 0.03945 2597.0 275 0.05461 2668.9 2887.3 6.2312 0.04733 2651.4 2864.4 6.1429 0.04144 2632.3 300 0.05887 2726.2 2961.7 6.3639 0.05138 2713.0 2944.2 6.2854 0.04535 2699.0 2925.7 6.2111 350 0.06647 2827.4 3093.3 6.5843 0.05842 2818.6 3081.5 6.5153 0.05197 2809.5 3069.3 6.4516 400 0.07343 2920.8 3214.5 6.7714 0.06477 2914.2 3205.7 6.7071 0.05784 2907.5 3196.7 6.6483 450 0.08004 3011.0 3331.2 6.9386 0.07076 3005.8 3324.2 6.8770 0.06332 3000.6 3317.2 6.8210 500 0.08644 3100.3 3446.0 7.0922 0.07652 3096.0 3440.4 7.0323 0.06858 3091.8 3434.7 6.9781 600 0.09886 3279.4 3674.9 7.3706 0.08766 3276.4 3670.9 7.3127 0.07870 3273.3 3666.9 7.2605 700 0.11098 3462.4 3906.3 7.6214 0.09850 3460.0 3903.3 7.5647 0.08852 3457.7 3900.3 7.5136 800 0.12292 3650.6 4142.3 7.8523 0.10916 3648.8 4140.0 7.7962 0.09816 3646.9 4137.7 7.7458 900 0.13476 3844.8 4383.9 8.0675 0.11972 3843.3 4382.1 8.0118 0.10769 3841.8 4380.2 7.9619 1000 0.14653 4045.1 4631.2 8.2698 0.13020 4043.9 4629.8 8.2144 0.11715 4042.6 4628.3 8.1648 1100 0.15824 4251.4 4884.4 8.4612 0.14064 4250.4 4883.2 8.4060 0.12655 4249.3 4882.1 8.3566 1200 0.16992 4463.5 5143.2 8.6430 0.15103 4462.6 5142.2 8.5880 0.13592 4461.6 5141.3 8.5388 1300 0.18157 4680.9 5407.2 8.8164 0.16140 4680.1 5406.5 8.7616 0.14527 4679.3 5405.7 8.7124 P 7.0 MPa (285.83°C) T "C P-6.0 MPa (275.59°C) 450 500 550 Sat. 0.03245 2589.9 2784.6 5.8902 300 0.03619 2668.4 2885.6 6.0703 350 0.04225 2790.4 3043.9 6.3357 400 0.04742 2893.7 3178.3 6.5432 0.05217 2989.9 3302.9 6.7219 0.05667 3083.1 3423.1 6.8826 0.06102 3175.2 3541.3 7.0308 0.06527 3267.2 3658.8 7.1693 0.07355 3453.0 3894.3 7.4247 0.08165 3643.2 4133.1 7.6582 900 0.08964 3838.8 4376.6 7.8751 1000 0.09756 4040.1 4625.4 8.0786 1100 0.10543 4247.1 4879.7 8.2709 1200 0.11326 4459.8 5139.4 8.4534 1300 0.12107 4677.7 5404.1 8.6273 600 700 800 U S V h kJ/kg kJ/kg kJ/kg-K m³/kg 0.027378 2581.0 0.029492 2633.5 0.035262 2770.1 0.039958 2879.5 0.044187 2979.0 0.048157 3074.3 0.051966 3167.9 0.055665 3261.0 0.062850 3448.3 0.069856 3639.5 0.076750 3835.7 0.083571 4037.5 0.090341 4245.0 0.097075 4457.9 0.103781 4676.1 U kJ/kg P- 5.0 MPa (263.94°C) h S kJ/kg kJ/kg-K P-8.0 MPa (295.01°C) 0.023525 2570.5 2758.7 5.7450 0.024279 2592.3 2786.5 5.7937 2988.1 6.1321 3139.4 6.3658 3273.3 6.5579 3399.5 6.7266 3521.8 6.8800 3642.4 7.0221 3882.2 7.2822 4123.8 7.5185 4369.3 7.7372 4619.6 7.9419 4875.0 8.1350 5135.5 8.3181 5401.0 8.4925 2772.6 5.8148 2839.9 5.9337 3016.9 6.2305 0.029975 2748.3 3159.2 6.4502 0.034344 2864.6 3288.3 6.6353 0.038194 2967.8 3411.4 6.8000 0.041767 3065.4 3531.6 6.9507 0.045172 3160.5 3650.6 7.0910 0.048463 3254.7 3888.3 7.3487 0.054829 3443.6 4128.5 7.5836 0.061011 3635.7 4373.0 7.8014 0.067082 3832.7 4622.5 8.0055 0.073079 4035.0 4877.4 8.1982 0.079025 4242.8 5137.4 8.3810 0.084934 4456.1 5402.6 8.5551 0.090817 4674.5
Transcribed Image Text:TABLE A-6 Superheated water (Continued) V U h S V m³/kg kJ/kg kJ/kg kJ/kg-K m³/kg P- 4.0 MPa (250.35°C) P-4.5 MPa (257.44°C) Sat. 2794.2 5.9737 2839.5 6.0571 0.04978 2601.7 2800.8 6.0696 0.04406 2599.7 2798.0 6.0198 0.03945 2597.0 275 0.05461 2668.9 2887.3 6.2312 0.04733 2651.4 2864.4 6.1429 0.04144 2632.3 300 0.05887 2726.2 2961.7 6.3639 0.05138 2713.0 2944.2 6.2854 0.04535 2699.0 2925.7 6.2111 350 0.06647 2827.4 3093.3 6.5843 0.05842 2818.6 3081.5 6.5153 0.05197 2809.5 3069.3 6.4516 400 0.07343 2920.8 3214.5 6.7714 0.06477 2914.2 3205.7 6.7071 0.05784 2907.5 3196.7 6.6483 450 0.08004 3011.0 3331.2 6.9386 0.07076 3005.8 3324.2 6.8770 0.06332 3000.6 3317.2 6.8210 500 0.08644 3100.3 3446.0 7.0922 0.07652 3096.0 3440.4 7.0323 0.06858 3091.8 3434.7 6.9781 600 0.09886 3279.4 3674.9 7.3706 0.08766 3276.4 3670.9 7.3127 0.07870 3273.3 3666.9 7.2605 700 0.11098 3462.4 3906.3 7.6214 0.09850 3460.0 3903.3 7.5647 0.08852 3457.7 3900.3 7.5136 800 0.12292 3650.6 4142.3 7.8523 0.10916 3648.8 4140.0 7.7962 0.09816 3646.9 4137.7 7.7458 900 0.13476 3844.8 4383.9 8.0675 0.11972 3843.3 4382.1 8.0118 0.10769 3841.8 4380.2 7.9619 1000 0.14653 4045.1 4631.2 8.2698 0.13020 4043.9 4629.8 8.2144 0.11715 4042.6 4628.3 8.1648 1100 0.15824 4251.4 4884.4 8.4612 0.14064 4250.4 4883.2 8.4060 0.12655 4249.3 4882.1 8.3566 1200 0.16992 4463.5 5143.2 8.6430 0.15103 4462.6 5142.2 8.5880 0.13592 4461.6 5141.3 8.5388 1300 0.18157 4680.9 5407.2 8.8164 0.16140 4680.1 5406.5 8.7616 0.14527 4679.3 5405.7 8.7124 P 7.0 MPa (285.83°C) T "C P-6.0 MPa (275.59°C) 450 500 550 Sat. 0.03245 2589.9 2784.6 5.8902 300 0.03619 2668.4 2885.6 6.0703 350 0.04225 2790.4 3043.9 6.3357 400 0.04742 2893.7 3178.3 6.5432 0.05217 2989.9 3302.9 6.7219 0.05667 3083.1 3423.1 6.8826 0.06102 3175.2 3541.3 7.0308 0.06527 3267.2 3658.8 7.1693 0.07355 3453.0 3894.3 7.4247 0.08165 3643.2 4133.1 7.6582 900 0.08964 3838.8 4376.6 7.8751 1000 0.09756 4040.1 4625.4 8.0786 1100 0.10543 4247.1 4879.7 8.2709 1200 0.11326 4459.8 5139.4 8.4534 1300 0.12107 4677.7 5404.1 8.6273 600 700 800 U S V h kJ/kg kJ/kg kJ/kg-K m³/kg 0.027378 2581.0 0.029492 2633.5 0.035262 2770.1 0.039958 2879.5 0.044187 2979.0 0.048157 3074.3 0.051966 3167.9 0.055665 3261.0 0.062850 3448.3 0.069856 3639.5 0.076750 3835.7 0.083571 4037.5 0.090341 4245.0 0.097075 4457.9 0.103781 4676.1 U kJ/kg P- 5.0 MPa (263.94°C) h S kJ/kg kJ/kg-K P-8.0 MPa (295.01°C) 0.023525 2570.5 2758.7 5.7450 0.024279 2592.3 2786.5 5.7937 2988.1 6.1321 3139.4 6.3658 3273.3 6.5579 3399.5 6.7266 3521.8 6.8800 3642.4 7.0221 3882.2 7.2822 4123.8 7.5185 4369.3 7.7372 4619.6 7.9419 4875.0 8.1350 5135.5 8.3181 5401.0 8.4925 2772.6 5.8148 2839.9 5.9337 3016.9 6.2305 0.029975 2748.3 3159.2 6.4502 0.034344 2864.6 3288.3 6.6353 0.038194 2967.8 3411.4 6.8000 0.041767 3065.4 3531.6 6.9507 0.045172 3160.5 3650.6 7.0910 0.048463 3254.7 3888.3 7.3487 0.054829 3443.6 4128.5 7.5836 0.061011 3635.7 4373.0 7.8014 0.067082 3832.7 4622.5 8.0055 0.073079 4035.0 4877.4 8.1982 0.079025 4242.8 5137.4 8.3810 0.084934 4456.1 5402.6 8.5551 0.090817 4674.5
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