D$3-$ex$2$: The irreversible shop$-$vac.

Suppose the compressor in a shop$-$vac has a compression ratio of $5.$

Pout $=1\mathrm{.}2$atm

Pin$=0\mathrm{.}24$ atm

Assume air enters the compressor at $T=300K$ at a flowrate of $78\frac{L}{s}$

Mw air $=28\mathrm{.}97\frac{g}{m}ol$;$cp=3\mathrm{.}5R$

$($a inlet condifions

The compressor is powered by $6\mathrm{.}5$ hp motor $(1hp=0\mathrm{.}746kW.$

electric mutor

a$.$ What is the exit temperature for an ideal, adiabatic compression?

b$.$ What the minimum required work for the compressor?

c$.$ What is the efficiency of the compressor?

d$.$ What is the actual temperature of the gas leaving the compressor $?$