HW#$7-6(15$ pt$)$ Consider a $210-$MW steam power plant that operates on a vapor power cycle. Steam enters the turbine at $10$MPa and $550C$ and is cooled in the condenser at a pressure of $30$kPa.Determine$(a)thequality$ of the steam at the turbine exit, $($b$)$ the thermal efficiency of the cycle, and $($c$)$ the mass flow rate of the steam.

Determine $($a$)-($c$)$ for ideal and actual cycles $($ideal: isentropic$,$ actual: considering isentropic efficiency assuming an isentropic efficiency of $90\%$ for both the turbine and the pump$).$ The ideal and actual cycles are schematically shown on a $T-$s diagram as in the figure.