Question $701(50$ p$)$: A simple Rankine cycle uses water as a working fluid. The boiler operates at $6000K$ 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 $20k\frac{g}{s}.$ Determine $($a$)$ the rate at which heat is added in the boiler, $($b$)$ the power required to operate the pumps, $($c$)$ the net power produced by the cycle, and $($d$)$ tt thermal efficiency.