In a Clausius $-$ Rankine basic cycle, the steam boiler produces superheated steam at p$3=\frac{50}{b}ar$ and $T3=600C.$ The steam is expanded adiabatically with an isentropic efficiency $=0\mathrm{.}95$ up to the saturation curve. Calculate

$($a$)$ The heat input to the boiler in $k\frac{J}{h}.$

$($b$)$ The vaporization temperature.

$($c$)$ The efficiency of the cycle.

Create the h$-$s diagram.