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 His 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?