(Solved): Consider a regenerative vapor power cycle using an open and a closed feedwater heater similar in de ...

Consider a regenerative vapor power cycle using an open and a closed feedwater heater similar in design to that shown in the figure below. Steam enters the turbine at $14\mathrm{MPa},560^{?}\mathrm{C}$, state 1 , and expands isentropically in three stages to a condenser pressure of 45 $\mathrm{kPa}$, state 4. Saturated liquid exiting the condenser at state 5 is pumped isentropically to state 6 and enters the open feedwater heater. Between the first and second turbine stages, some steam is extracted at $1\mathrm{MPa}$, state 2 , and diverted to the closed feedwater heater. The diverted steam leaves the closed feedwater heater as saturated liquid at $1\mathrm{MPa}$, state 10 , undergoes a throttling process to 0.2 $\mathrm{MPa}$, state 11, and enters the open feedwater heater. Steam is also extracted between the second and third turbine stages at $0.2\mathrm{MPa}$, state 3 , and diverted to the open feedwater heater. Saturated liquid at 0.2 MPa exiting the open feedwater heater at state 7 is pumped isentropically to state 8 and enters the closed feedwater heater. Feedwater exits the closed feedwater heater at $14\mathrm{MPa},170^{?}\mathrm{C}$, state 9 , and then enters the steam generator. Each turbine stage and the pumps have an isentropic efficiency of $83\%$. If the net power developed by the cycle is $300\mathrm{MW}$, determine: (a) the percent cycle thermal efficiency. (b) the mass flow rate into the first turbine stage, in $\mathrm{kg}/\mathrm{s}$. (c) the magnitude of the rate of heat transfer from the working fluid as it passes through the condenser, in MW.