Steady air flows through a compressor

Air enters a compressor steadily at $100$ kPa and $290$ K $.$ It exits at $550$ K and $683$ kPa $.$ Treat the air as an ideal gas

and apply standard assumptions for a compressor. Use the ideal gas table for air $($Table A$-22).$

a$)$ The power required to drive the compressor is $375$ kW $.$ What is the mass flow rate of the air at the inlet, in

$k\frac{g}{s}?$

b$)$ What is the entropy generation rate, in $k\frac{W}{K}?$

c$)$ Prove that the air can be modeled as an ideal gas at the exit state.