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a) A two stage reciprocating air compressor, single acting used to compress the air to a pressure of 60 bar of induction conditions 0.97 bar and a temperature of 33C. Free air delivery measured at atmospheric conditions of 1.013 bars and 27C is 3.5 m/min. Expansion and compression index for both the compressors is 1.3. The clearance volume for each cylinder is 5% of the swept volume and the compressor operates at a speed of 750 rpm. i) Sketch the process involved on P-V diagram. ii) Determine mass flow rate of the air, kg/s. iii) Calculate the minimum indicated power, kW. iv) Calculate volumetric efficiency for the first stage, %. v) Determine the bore (mm) and length of stroke (mm) for the first stage if the ratio of stroke to bore is 1.2. For air take, R = 0.287 kPa.m'/kg.K and Cp = 1.005 kJ/kg.K Explain briefly, why the pressure at the end of the induction stroke is less than the free air delivery pressure (atmospheric pressure)