There are required $2000$ kW of compressor power to handle air adiabatically from

$1$ atmosphere, $27$ oC$,$ to $305$ kPaa. The initial air velocity is $20$ m$/$s and the final velocity is $85$

m$/$s$.$ a$)$ If the compression is isentropic$,$ find the compressor capacity, in m$3$

$/$s$.$ b$)$ If the

compression process is irreversible adiabatic to a temperature of $160$ oC$,$ with the capacity

found in a$),$ determine the compressor power input, in Hp$.$