$2\mathrm{.}10$ A Rankine cycle operates with inlet steam at $75$ bar and $320\backslash$deg C$,$ condensing at $50\backslash$deg C$,$ and generates$250$ MW of power. The cycle features a single stage of reheat that returns the steam to $320\backslash$deg C$.$ A closed$-$type feedwater heater receives bled steam at the reheat pressure and cascades the drains back to the condenser. The high$-$pressure turbine has a polytropic efficiency of $91\%,$ while the low$-$pressure turbine operates at $93\%$ efficiency. The pump operates isentropically$.$ Calculate $($a$)$ the mass flow rate of the steam at the turbine inlet in kilogram per second. $($b$)$ the cycle efficiency, $($c$)$ the cycle work ratio. Use TTD $=-2\mathrm{.}5\backslash$deg C$.$

$($Provide handwritten notes of this question and draw its TS diagram$)$