Using the table, I would like a clear step by step solution: A compressor compresses air at the state $($P$1=100$ kPa and temperature T$1=17$C$).$ The velocity of the air entering the compressor can be neglected. The air exits the compressor at the state P$2=1$ MPa, T$2=327$C$,$ and with a velocity of V$2=105$ m$/$s$.$ The compressor is also cooled by $1500$ kJ$/$min from the surrounding air at a temperature of $17$C$.$ The power required for the process is $300$ kW$.$ Use Table A$-17$ for variable specific heat capacity.

Calculate:

The mass flow rate of air through the compressor $(0\mathrm{.}853$ kg$/$s$).$

The power required solely to overcome the compressor's irreversibility $(44\mathrm{.}8$ kW$).$ Table A$-17$: Ideal gas properties of air