$(8$ pts$)$ Calculate the power in $kW$ required to reversibly and adiabatically compress $100$kmo$\frac{l}{h}$ of an ideal, diatomic gas from $10$ bar up to $30$ bar, provided the initial temperature is $300K.$ Assume $C_v=3R$ over this range of $T.$ Also note that $1kW=1000\frac{J}{s}.$