The only known sources of helium are the atmosphere (mole fraction approximately 5 × 10-6) and natural gas. A large unit is being constructed to separate 100 m3/s of natural gas, assumed to be 0.001 He mole fraction and 0.999 CH4. The gas enters the unit at 150 kPa, 10°C. Pure helium exits at 100 kPa, 20°C, and pure methane exits at 150 kPa, 30°C. Any heat transfer is with the surroundings at 20°C. Is an electrical power input of 3000 kW sufficient to drive this unit?