Question

A steam power plant operates on a simple ideal Rankine cycle between the pressure limits of 6 MPa and 50 kPa. The temperature of the steam at the turbine inlet is 450◦C, and the mass flow rate of steam through the cycle is 50 kg/s. (a) Find the temperature, pressure and specific volume at states 1, 2, 3, and 4. (b) Find the heat supplied, heat rejected, work consumed by the pump, work produced by the turbine, net power generation, and thermal efficiency. (c) Calculate the thermal efficiency of a Carnot cycle operating between the same temperature limits. (d) Calculate the change in entropy of the steam in (i) the boiler, and (ii) the condenser. (e) Sketch the T −s diagram.

Answer 1

Please find the answer below:

ன்) GMPA T Sokpa Given: simple idaal Rankine cyce Prenure Rimits 6M Pa ond sopa batn Temperdture at the tur bine unlet T 4s6c man Flow Tati of steam At 2 pomt (a) 6 MPa 4 s0 c (super hented Cond O, 05211 from steam table 3301.8 KS/a 6172 /g At poont 3 Tsat = 81.32c 5okpa 0,001630 3,2103 = 340, s4 2301,7 19/2 2645.2 3/ 1,0912 3/k 5913 /.k for T deal tean lkine eyel, In turbire procen is isentmpic, So S=S36192 state i Se wet steam

1, 09 12 t (6,5019) 6,7192 ,htg 0,0010301 0,8632403- 0,001030 340,540 t 0, 86 X a3 61,7 2.7868 2322. 582 = 0,001030 (600-5o) 6,1285 hat,128 +6,1285 340, S4+6,128 346.6685 71 310,54+6,12 1,187

State T 1 6. 001070 8a.796 6MPA 6MPa 0,0s214 81.32 C 50pa .86 e kpa 0,00103o / 3 81.72'C 1. () 013501.8-34.43) -316,668 147.756 M7 Cy-h) Qjedtea .$82-340, 51 99102.1 k5 1 99,102 MT 6. 1285 ks/s Work consumd by pump mwp 6. 1285X50= 306,92s KJ (zso1,i 3301.8-2322.582 48960.9 K 1 48,96 MF -WP Whet WT- 489609. K 306.1as k 1 18.65 MF 48,65 M 147.756 M Wnet 6, 3292 = 32,927 Th Gusupph

142 Tmim COVCMnet 1- Tmox 8132t273.15 450 +273.15 0,5098 ) )As) boilor 801 PP 506.7192-1,01312) 0FCP 89,009 k 54-5) S)condenser s01,01912 - 6.7192) - 285.001 9/ (150') 2 (e 6MPA S kpa 14

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