The combined heat and power plant $($CHP$)$ here

attached is based on a basic Rankine cycle composed by

a counter pressure vapour turbine that works according

the following scheme: The vapour generated by the boiler enters at the turbine at $T_1=600C$ and $P_1=100$ bar. The condenser pressure is $0\mathrm{.}01$MPa, entering to the pump at saturated liquid conditions. The total amount of heat ejected by the condenser is exchanged by $252k\frac{g}{s}$ of water loop with a temperature jump of $25C.$

Determine:

a$)$ The heat exchanged considering a water with a $c_p=4\mathrm{.}18\frac{kJ}{kgK}$

b$)$ The outlet fluid temperature $(T_2)$ and enthalpy $(h_2)$ at the turbine considering an isentropic efficiency of the turbine $0\mathrm{.}95.$

c$)$ The CHP mass flow rate and power generated by the turbine

d$)$ The heat generated by the boiler $F$ and the pump work needed if point $4$ enthalpy is equal to $200\frac{kJ}{kg}.$ Considering a boiler efficiency of $0\mathrm{.}85.$