Helium gas is compressed reversibly from 16 Psia and 85 degree F to 120 psia. The helium enters the compressor with a flow rate of 10 ft3/s. Helium can be treated as an ideal gas with constant specific heats (k = 1.667, cp= 1.24 Btu/lbm degree R, cv = 0.744 Btu/lbnv degree R). Determine the power input (hp) and heat transfer rate (Btu/min) during the compression process assuming that it occurs: Isentropically. Isothermally.