Atwo-stage double-acting compressor operating at 200 rpm takes in air at 1.013 bar and 27 °c. the size of the l. p. cylinder is 350 x 380 mm; the stroke of h. p. cylinder is the same as that of the l. p. cylinder and the clearance of both the cylinders is 4%. the l. p. cylinder discharges the air at a pressure of 4.052 bar. the air passes through the intercooler so that it enters the h. p. cylinder at 27 °c and 3.85 bar, finally it is discharged from the compressor at 15.4 bar. the value of n in both cylinders is 1.3, cp = 1.0035 kj/kg k and r = 0.287 kj/kg k, calculate: (i) the heat rejected in the intercooler; (ii) the diameter of h. p. cylinder; (iii) the power required to drive the h. p. cylinder.