Air at $25\backslash$deg C and $1\mathrm{.}0$ bar is compressed to $5\mathrm{.}0$ bar using a compressor in a steady$-$state flow process. If

the temperature of the air at the compressor outlet is $250\backslash$deg C determine: a$)$ the shaft work $($J$/$mol$)$ required

by the compressor; b$)$ the efficiency of the compressor, and; c$)$ the change in entropy $($J$/$molK$)$ of the air.

You may assume the heat capacity $($CP $)$ of the air is constant at $29\mathrm{.}2$ J$/$mol K and that the gas is ideal

under all conditions. You may assume the process is adiabatic and potential$/$kinetic energy changes are

negligible