$2.(20$ points$)$ Air enters an adiabatic compressor at $95$ kPa and $\backslash (25^\{\backslash$circ$\}\backslash$mathrm$\{$C$\}\backslash )$ at a rate of $\backslash (0\mathrm{.}8\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$s$\}\backslash )$ with an isentropic efficiency of $\backslash (\backslash$mathbf$\{90\backslash \%\}\backslash ),$ and leaves at $1\mathrm{.}2$ MPa $.$ Assume that airflow is steady and neglect changes in kinetic and potential energy. For the air, use $\backslash (\backslash$mathbf$\{$C P$\}=\backslash$mathbf$\{1.1\}\backslash$mathbf$\{$~ k J$\}/\backslash$mathbf$\{$k g$\}*\backslash$mathrm$\{$~K$\}\backslash ).($remember that you can get the other specific heat using the gas constant, $\backslash (\backslash$mathbf$\{$R$\}=\backslash$mathbf$\{0.287\}\backslash$mathbf$\{$~ k J$\}/\backslash$mathbf$\{$k g$\}*\backslash$mathrm$\{$~K$\}\backslash ),$ if necessary$)$

$($a$)(5$ points$)$ Determine the exit temperature for an ideal compressor, with the same exit pressure.

$($b$)(5$ points$)$ Determine the exit temperature of the actual compressor.

$($c$)(5$ points$)$ Determine the power required to drive the actual compressor.

$($d$)(5$ points$)$ Determine the entropy generation rate from the actual compressor.