Helium is to be compressed from 140 kPa and 228 K to 280 kPa and 475 K. If the compressor can generate up to 12.4 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? $\displaystyle \frac{\text{m}^3}{\text{s}}$

b) the compressor leaks 2 kW of heat out into the surrounding air? $\displaystyle \frac{\text{m}^3}{\text{s}}$