A hypothetical isentropic compressor $({}_{AC}=1\mathrm{.}0)$ consumes shaft power of $1$ MW to

compress air at $300$ K and the outlet air temperature is $600$ K $.$

$C_p$ of air at $600$ K is $1\mathrm{.}0498k\frac{J}{k}g$ and $c_p$ of air at $300$ K is $1\mathrm{.}0038k\frac{J}{k}g.$

Obtain the mass flow rate of air flowing through the compressor.

Obtain the compressor pressure ratio.