Problem #$1(10$ pts$)$ same pressure as it enters the turbine $(8$ MPa $).$ The cycle is required to have a net power output of $50$ MW $.$

A$.$ Determine the work$/$mass from the turbine.

B$.$ Determine the work$/$mass into the pump $($report as a positive value; you may assume the isentropic case is isothermal and incompressible$)$

C$.$ Determine the mass flow rate of the cycle

D$.$ Determine overall efficiency of the cycle $(=\frac{W_{\text{n}\text{e}\text{t}}^{}}{Q_H^{}})$

E$.$ If the boundary temperatureHip$$ on the hot side is $520$ C and the boundary temperature on the cold side is $50$ C $,$ what is the rate of entropy production $({}^{})$ for the entire cycle?

F$.$ Draw the process on a T$-$s diagram; label all $4$ states $(1$ into turbine, $2$ into condenser, $3$ into pump, $4$ into boiler$)$

Problem #$2(10$ pts$)$ pressure out of the pump $($and into the boiler and first turbine$)$ are the same as Problem $2.$ The turbine and pump efficiencies are the same as Problem $2.$

The net power output $(W^{})$ remains at $50$ MW $.$

A$.$ Determine the work$/$mass from state $1$ to state $2.$

B$.$ Determine the work$/$mass from state $3$ to state $4.$

C$.$ Determine the mass flow rate of the cycle

D$.$ Determine overall efficiency of the cycle

E$.$ Determine how much less heat is required from the nuclear reactor; report as a positive value in kW$.$ part e and $Q_{H,1}^{}$ is the heat required in problem $1?$

G$.$ Draw the process on a T$-$s diagram; label all $6$ states $(1$ into first turbine, $2$ into reheater, $3$ into second turbine, $4$ into condenser, $5$ into pump, $6$ into boiler Solve problem $2$ please