$10-19$ Consider a $210-$MW steam power plant that operates on a simple ideal Rankine cycle. Steam enters the turbine at $10$ MPa and $500C$ and is cooled in the condenser at a pressure of $10$ kPa $.$ Show the cycle on a $T-$s diagram with respect to saturation lines, and determine $(a)$ the quality of the steam at the turbine exit, $(b)$ the thermal efficiency of the cycle, and $(c)$ the mass flow rate of the steam. Answers: $($a$)0\mathrm{.}793,($b$)40\mathrm{.}2$ percent, $($c$)165k\frac{g}{s}$