Helium is to be compressed from $170$ kPa and $228$ K to $440$ kPa and $415$ K$.$ If the compressor can generate up to $12\mathrm{.}4$ kW of mechanical energy, what is the maximum volumetric flow rate of gas leaving the compressor that will still be at the desired exit conditions, if:a$)$ the compressor is adiabatic? m$3/$s

b$)$ the compressor leaks $2$ kW of heat out into the surrounding air? m$3/$s