A window$-$mounted air conditioner supplies $24\frac{m^3}{m}in$ of air at $15C,\frac{1}{b}ar$ to a room. Air returns from the room to the evaporator of the unit at $22C.$ The air conditioner operates at steady state on a vapor$-$compression refrigeration cycle with Refrigerant $22$ entering the compressor at $\frac{4}{b}ar,10C.$ Saturated liquid refrigerant at $14$ bar leaves the condenser. The compressor has an isentropic efficiency of $70\%,$ and refrigerant exits the compressor at $14$ bar $.$

Determine:

$($a$)$ the compressor power, in kW$.$

$($b$)$ the refrigeration capacity, in tons.

$($c$)$ the coefficient of performance.