A compressor, operating at steady state, receives air with a flow rate $(m^{})$ of $1k\frac{g}{s}$ at $100$ kPa and $25C.$ The ratio of pressure at the exit to that at the inlet is $5.$ There is no significant heat transfer between the compressor and its surroundings. Also $\frac{?}{{?}_{\frac{?}{?}}KE}$ and $\frac{?}{{?}_{\frac{?}{?}}PE}$ are negligible. If the isentropic compressor efficiency is $75\%,$ determine $($a$)$ the actual power $($include sign$)$ and $($b$)$ temperature at the compressor exit. Use the PG model for air. $($c$)$ What$-$if scenario: What would the compressor power be if the IG model had been used instead?