Problem $11\mathrm{.}024-$ Simple non$-$ideal steam Rankine cycle with subcooling

A simple Rankine cycle uses water as the working fluid. The boiler operates at $6000$ kPa and the condenser at $50$ kPa $.$ At the entrance to the turbine, the temperature is $450C.$ The isentropic efficiency of the turbine is $94$ percent, pressure and pump losses are negligible, and the water leaving the condenser is subcooled by $6\mathrm{.}3C.$ The boiler is sized for a mass flow rate of $20\mathrm{.}00k\frac{g}{s}.$ Determine the rate at which heat is added in the boiler, the power required to operate the pumps, the net power produced by the cycle, and the thermal efficiency. Use steam tables.

The rate at which heat is added in the boiler is $$ kW$.$

The power required to operate the pumps is $$ kW$.$

The net power produced by the cycle is $q,$ kW$.$

The thermal efficiency of the cycle is $]\%.$