A two-stage reciprocating air compressor delivers 40.5 kg of air per minute at 9.8 bar. The intake is at 1 bar and 15.5 °C. Compression follows pv^{1.31} = constant and the intercooler cools the air back to the intake temperature. Neglecting clearance (R = 0.287 kJ/kg·K, c_{p} ≈ 1.0 kJ/kg·K), calculate (a) the optimum intermediate pressure (bar), (b) the power to be delivered to each cylinder (kW) and (c) the rate of heat rejection in the intercooler (kJ/min).