Air, an ideal gas, is isentropic ally compressed from V1 = .36 ft^3, P1 = 14.5 psia, T1 = 70 F, to V2 = .03 ft^3 (compression ratio = 12). Find T2, P2 and W (work in Btu) for this process: (a) assuming constant specific heat ideal gas with cp = .24 Btu/lbm-R, cv = .171 Btu/lbm-R and k = 1.4 (room temperature values), and (b) assuming variable specific ideal gas and using the Air Tables