Steady-State Operating data

Steady-State Operating data are provided for a compressor and heat exchanger. The Power input to the compressor is 50 kW. Nitrogen flows through the compressor and heat exchanger with a mass flow rate of .25 kg/s . The nitrogen is modeled as an ideal gas. A separate cooling stream of helium, modeled as an ideal gas with k=1.67, also flows through the heat exchanger. Stray heat transfer and kinetic and potential energy effects are negligible. Determine the mass flow rate of the helium, in kg/s.