Problem #$1(5$ pts$)$

Water flowing at $10k\frac{g}{s}$ enters a turbine at $1$MPa$(\frac{10}{b}ar)$ and $360$ C $.$ It exits as a saturated vapor at $30$ kPa $(0\mathrm{.}30$ bar $).$ The turbine is insulated well, so $Q=0.$ Determine the following:

a$.$ The power output from the turbine in kW

b$.$ The specific enthalpy of the water out of the turbine if the process was isentropic $(h_2)$; remember that it has the same outlet pressure.

c$.$ The percentage of power the actual turbine gets compared to a perfect turbine $()$; remember that the perfect turbine is isentropic and adiabatic $($no heat loss$).$

d$.$ Draw the actual and isentropic processes on a T$-$s diagram; label state $2$ for the isentropic scenario as $"2$ s $"$