Problem $2.$ Exergetic efficiency of a pump

An adiabatic pump is carrying water $($liquid$)$ at $1k\frac{g}{s}$ from $100$ kPa to $2200$ kPa $.$ The water

inlet temperature is $25C.$ Given an isentropic efficiency of $50\%$ :

$($a$)$ What is the water exit temperature? Give physical insights of the results you find.

$($b$)$ Determine the rate of entropy generation in $k\frac{W}{K}.$

$($c$)$ What is the exergetic efficiency of the pump?