$(11)$ Ans. $-750$ kW

Air is compressed at steady state from $\frac{1}{b}ar,300K,$ to $6$ bar with a mass flow rate of $4k\frac{g}{s}.$ Each unit of mass passing from inlet to exit undergoes a process described by $p{v}^{1\mathrm{.}27}=$ constant. Heat transfer occurs at a rate of $46\mathrm{.}95$ kJ per kg of air flowing to cooling water circulating in a water jacket enclosing the compressor. If kinetic and potential energy changes of the air from inlet to exit are negligible, calculate the compressor power, in kW $.$