Question

Water is the working fluid in a Rankine cycle. Steam exits the steam generator at 1500 lbf/in.2 and 1100°F. Due to heat transfer and frictional effects in the line connecting the steam generator and turbine, the pressure and temperature at the turbine inlet are reduced to 1400 lbf/in.2 and 1000°F, respectively. Both the turbine and pump have isentropic efficiencies of 95%. Pressure at the condenser inlet is 2 lbf/ in. 2, but due to frictional effects the condensate exits the condenser at a pressure of 1.5 Ibf/in.2 and a temperature of 110°F. The condensate is pumped to 1600 lbf/in.2 before entering the steam generator. The net power output of the cycle is 1 x 108 Btu/h. cooling water experiences a tem perature increase from 60°F to 76°F, with negligible pressure drop, as it passes through the condenser. Determine for the cycle: (a) the mass flow rate of steam, in lb/h (b) the rate of heat transfer, in Btu/h, to the working fluid passing through the steam generator. (c) the percent thermal efficiency. (d) the mass flow rate of cooling water, in lb/h

Answer 1

Detailed solution is shown below ask if any doubt

2ら e 0101623 ptb 934-186 Btu leb h, - b2 b,-bis h,s ㄹ

14935 b 1435-934 186 づ, h2 962-152 BtulQb la =110 F Specific volume at state 3 + (e.el6A-o.016/6) ( 65-18888) 3 115.65-I07.88 Ps Ps →0.95 = 4.7842 a.

83 051 BrulRb hs = 1550.25 ebul, b wnet 526-312 Beuigb 2) 1X108 (5マG-312) m = 3

b) 3) (55o 25 83051) heat tonskv,1%,-218.769 x106Blu/h of Rate 3587 218-769X106 [hermal efficiency, 35.87% aot T (t9D.ool×1O3) (962-152-78-o, 5) = m. (44.09-28.08) Ciw Solving for e 6