$5-48$ Steam flows steadily through an adiabatic turbine. The inlet conditions of the steam are $4$MPa,$500C,$ and $80\frac{m}{s},$ and the exit conditions are $30$kPa,$92$ percent quality, and $50\frac{m}{s}.$ The mass flow rate of the steam is $12k\frac{g}{s}.$ Determine $(a)$ the change in kinetic energy, $($b$)$ the power output, and $($c$)$ the turbine inlet area. Answers: $($a$)-1\mathrm{.}95k\frac{J}{k}g,($b$)12\mathrm{.}1$ MW $,($c$)0\mathrm{.}0130m^2$

$P_1=4$MPa

$T.=500C$