Question

(ที่ 1. In a reheat cycle , steam leaves the boiler, and enters the high in the high pressure turbine to sou kpa, the steam is releated to 40o and the expanded the low end state of both the Hot and poressure turbine CLPT) LPT fall in the liquid & vapor mixture region. Draw the cycle diagram and the T-s diagram and determine the work done to pump total work done and the cycle efficiency by turbine i

Answer 1

The given problem belongs to a reheat rankine cycle. The work done by turbine and work supplied to pump can be easily determined by finding enthalpy at all the 6points of the cycle. Please refer to attached images where I have solved the complete problem with necessary explanations.

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of * Lethe draw the Is diagram reheat rawlane cycle based on given data 3 T प we To find important parameters like Pump work, total work done by turbine and the cycle eppamency, specopec enthalpy at 6 points of Tas Jiogram. from superheated cream table, At Pi = 6 Pa and T=440°c must pind all the hy - 3276 4 ILI hug & sic 6.6878 ILI Kg.K Since expansion in turbine u is entopic in natore. sich -6.6878 ILI Kg.IL At P2= 500kPa, cat oration temperature Te = 151.431°C 7 Sg = 6'820711 1.860u & sf к. 14

Now lette Pind the quality at point 2. S = (se ta spg) sookpa 6.6878 = 1.8604 + x (4.9603) 0.9732 hzc Cho tx hag) 5ookPa ha- 640.09+ (0.97327 (2108) وط 2691.595. * Now in reheater, presure remains conctant. P2 = P₂ = 500kpa and Iza uso c ILJling, from superbeabed sheam table , ha - 34416 Sz: 8:0331_1LJ Hugoth. Since expansion in turbine is grenhopic, Szcsy s .0331 At Pun 10kPa Ts 45.8066 hp = 191.4 iting ng= 2583.9 1 leg. Sg- & luft IT & spa 0.64920 su= (spta spg) lokPa 6:03.31 - 0.64920 tx (7.1996) 0.9845 III ligi

hu= Chptxhpg) 104Pa 191617 C0.980s)(2392) 255kThen At exit of condenser, cteam is in saturated liquid state. hs. (hp) oke pa = 1918 ILJAKg. ho ho + 20.92 where e AP is pomp work. AP-CP, - P4) hee 1911+ (1.0102x163) x (6000-10) = 197.86 %J Hhg. I AR Pomp world is (1.0109x10-3)/6000kPa - lokPa) 6.051 KW Total torbine wor Chicha) + Cho hu) (3278.4 – 2691:595) + (3441.6–2547) Tusi 405 kJ/kg © Cycle effidency 4- Net work Heat supplied Turbine pump work boiler heat t heat of reheat

lusl.4o5 - 6:05) Chi-holt Chacha) Tu 75.354 3080.64+ 750 Rcycle 0.3851 38.51%