Current Attempt in Progress

As indicated in the figure below, a power plant operates on a regenerative vapor power cycle with one closed

feedwater heater. Steam enters the first turbine stage at state $1$ where pressure is p$1=12$ MPa and temperature is

$560\backslash$deg C$.$ Steam expands to state $2$ where pressure is p$2=5$ MPa and some of the steam is extracted and diverted to the closed feedwater heater. Condensate exits the feedwater heater at state $7$ as saturated liquid at a pressure of

p$7=5$ MPa, undergoes a throttling process through a trap to a pressure of pg $=50$ kPa at state $8,$ and then enters

the condenser. The remaining steam expands through the second turbine stage to a pressure of p$3=50$ kPa at state

$3$ and then enters the coldenser. Saturated liquid feedwater exiting the condenser at state $4$ at a pressure of pa

$=50$ kPa enters a pump and exits the pump at a pressure of p$5=12$ MPa. The feedwater then flows through the

closed feedwater heater, exiting at state $6$ with a pressure of p$6=12$ MPa. The net power output for the cycle is

$330$ MW$.$

For isentropic processes in each turbine stage and the pump, determine:

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

$($b$)$ the mass flow rate into the first turbine stage, in kg$/$s$.$

$($c$)$ the rate of entropy production in the closed feedwater heater, in kW$/$K$.$

$($d$)$ the rate of entropy production in the steam trap, in kW$/$K$.$