Figure 3 shows the p-V diagram of a two-stage reciprocating air compressor with perfect intercooling and no clearance. It delivers 0.2 kg/s of air; compression in both stages follows pV^{1.3} = C. Take R = 0.287 kJ/kg·K. For minimum work, determine (a) the intermediate pressure p_{2} (answer in bar) and (b) the total power required (answer in kW).