Question

Q1. A steam power plant operates on a simple ideal Rankine cycle between the pressure limits of 4 MPa and 50 kPa. The temperature of the steam at the turbine inlet is 300°C, and the mass flow rate of steam through the cycle is 35 kg/s. Show the cycle on a T-s diagram with respect to saturation lines, and determine (a) the thermal efficiency of the cycle and (b) the net power output of the power plant. 02

Answer 1

hy = hy = 340.54 kilyos, ng = 2645.2K/kg given m = 35 kg 18 Boiler pressure, l= Ampa. condenser preesote, pe = 5ox Du = 0.05 MPa T-8 diagram TEC) 3 300°c Pb WT. Wp 81-317 1 Pool 4 OC > 8 (Kling-K? Wp Pump work, Wy = Turbine work → Heat rejected in condenser 9 - added is Boiler. From steam table. 11 at ampa 8 300°C. 13 - 2961. 7 kalky at sokpa. T= 81.317°C. 89 = 6.9639 kJ/kg-K But 8x = By = 1.0912 KJ/M-k, by - 7.5430 K3/19 -K. - Vy = 0.00903 m2/19 83 - 84 6.8689 - 1:0912 + 11.7.5930 – 1.0912) = 0.81 -)

- ha = ht+ n(hg- hr) -) by = 340.54 + 0.89 ( 2645.2 - 340.54) 9209. 53 kg)ng up = V (Po-Pc ) = 0.00003 (4000-50) Wp = 8.605 KI] - he = hat Wp = 340.54 + 3.605 the = 344.145 KI/kg 15 1- [ha-ha] th Ib 1-C [hz- he] 1- [4209.53 – 340-54] 19961.9 304.1957 17 th 144= 0.986 28.6% Pret mi [ Wy+ wp] = " [he-ha) – 3.605) + Phet - 35 (2961.9 - 1909.53) - 3.605) Phet 26199.275 KW = 26.2 MW