A Rankine power generation cycle is operated with water as the working fluid. It is found that 100 MW of power is produced in the turbine by 89 kg/s of steam that enters the turbine at 700^◦C and 5 MPa and leaves at 0.10135 MPa. Saturated liquid water exits the condenser and is pumped back to 5 MPa and fed to the boiler, which operates isobarically.

a. The turbine operates adiabatically, but not reversibly. Find the temperature of the steam exiting the turbine. 

b. Determine the rate of entropy generation in the turbine and compute the efficiency of the turbine. 

c. How much work must be supplied to the pump?

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Point 1 Exit from condenser entry to pump 2 Exit from pump entry to boiler 3 Exit from boiler entry to J-T valve 4 Exit from J-T valve entry to turbine 5 Exit from turbine entry to condenser T (°C) 100 100 103 126.2 P (MPa) 0.10135 0.10135 3.0 3.0 0.10135 Ŝ [kJ/(kg K)] 1.3069 1.3069 1.3069 7.5085 Ĥ (kJ/kg) 419.04 419.04 422.07 2734.7