$(15$ points$)$ H$2$O enters a throttle at $180$C$,15$ bar at $5$ kg$/$s$.$ The H$2$O then enters a

separation chamber. H$2$O exits as saturated vapor and saturated liquid streams, each at $4$

bar. The saturated vapor enters a turbine and exits at a quality of $90\%$ and $0\mathrm{.}075$ bar. The

entire process is steady. All standard assumptions apply for each device. Calculate the

power, $,$ produced by the turbine $($kW$).$ T$\_1=180$ degrees C$,$ P$\_1=15$ bar. mass flow rate $=$ m$\_1=5$ kg$/$s$.$ P$\_2=4$ bar, P$\_3=4$ bar, x$\_4=0\mathrm{.}9,$ P$\_4=0\mathrm{.}075$ bar