#$360.$ Two Stage Air Compressor

Air enters a two$-$stage compressor at $110$ kPa and $T_1=30C$ and is compressed to $743\mathrm{.}6$ kPa $.$ The pressure ratio across each stage is the same, and the air is cooled to the initial temperature at constant pressure between the two stages. The mass flow rate of air is $0\mathrm{.}15k\frac{g}{s},$ and assume that the compression process in each compressor is isentropic$.$

Determine the power input to the two$-$stage compressor.

number $($rtol$=0\mathrm{.}02,$ atol$=1$e$-08)$

What would your answer be if only one stage of compression were used, with air at the same initial and final states?

$W_{in}^{}$:$[kW]$ number $($rtol$=0\mathrm{.}02,$ atol$=1$e$-08)$