Air is compressed by a steady$-$state, adiabatic compressor from $100$ kPa and $12$oC to a pressure of

$950$ kPa at a steady rate of $0\mathrm{.}35$ kg$/$s$.$ If the isentropic efficiency of the compressor is $75\%,$

determine:

$($a$)$ the exit temperature of air.

$($b$)$ the required power input to the compressor.