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Q3.A single acting, two stage reciprocating air compressor is designed for minimum work with perfect intercooling, and the LP cylinder has a volumetric efficiency of 94% The compressor delivers 8 kg/min of air from an initial condition of 1.0135 bar and 20℃.

In each stage the clearance volume is 4% of the respective swept volume, and the index for all compressions and expansions is n = 1.3.

The speed of rotation is 360 r/min.

(a) Sketch the cycle on a press

(b) Determine EACH of the following:

(i) the final delivery pressure;

(ii) the power;

(iii) the induced volume per cycle.

Note: For air C_v = 0. 718 kJ/kgK and C_p = 1.005 kJ/kgK R = 287 kJ/KgK