Why is an electrical power input sufficient to drive unit

Question

Problem

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 helium mole fraction and 0.999 methane. The gas enters the unit at 150 kPa, 10^oC. Pure helium exits at 100 kPa, 20^oC and pure methane exits at 150 kPa, 30^oC. Any heat transfer is with the surroundings at 20^oC. Is an electrical power input of 3000 kW sufficient to drive this unit?

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.