A flow of \(2.0 \mathrm{lbm} / \mathrm{sec}\) of air is compressed from \(14.7 \mathrm{psia}\) and \(60^{\circ} \mathrm{F}\) to \(200 \mathrm{psia}\) and \(150^{\circ} \mathrm{F}\). Cooling water circulates around the cylinders at the rate of \(25 \mathrm{lbm} /\) \(\mathrm{min}\). The water enters at \(45^{\circ} \mathrm{F}\) and leaves at \(130^{\circ} \mathrm{F}\). (The specific heat of water is \(1.0 \mathrm{Btu} / \mathrm{lbm}-{ }^{\circ} \mathrm{F}\).) Calculate the power required to compress the air, assuming negligible velocities at inlet and outlet.