Air enters a compressor operating at steady state at $T_1=$

$320K,p_1=2$ bar with a velocity of $80\frac{m}{s}.$ At the exit,

$T_2=550K,p_2=\frac{6}{b}ar$ and the velocity is $180\frac{m}{s}.$ The air

can be modeled as an ideal gas with $c_p=1\mathrm{.}01k\frac{J}{k}g*K.$ Stray

heat transfer can be ignored. Determine, in kJ per kg of air

flowing, $($a$)$ the power required by the compressor and $($b$)$ the

rate of exergy destruction within the compressor. Let $T_0=$

$300K,p_0=1$ bar. Ignore the effects of motion and gravity.