Current Attempt in Progress

A power plant operates on a regenerative vapor power cycle with one open feedwater heater. Steam enters the first turbine stage at

$12$MPa,$560C$ and expands to $1$ MPa $,$ where some of the steam is extracted and diverted to the open feedwater heater operating at

MPa $.$ The remaining steam expands through the second turbine stage to the condenser pressure of $50$ kPa $.$ Saturated liquid exits the

open feedwater heater at $1$ MPa $.$ The net power output for the cycle is $330$ MW $.$ Assume that both turbine stages and both pumps

have an isentropic efficiency of $83\%.$

Determine:

$($a$)$ the percent cycle thermal efficiency.

$($b$)$ the mass flow rate into the first turbine stage, in $k\frac{g}{s}.$

$($c$)$ the rate of entropy production in the open feedwater heater, in $k\frac{W}{K}.$