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Q8. At the beginning of compression in a single stage, single acting reciprocating air compressor, the air is at a pressure of 1.03 bar and a temperature of 35°C. The delivery valve opens at a pressure of 8.3 bar. The delivery temperature is 195°C. The bore diameter and stroke length are 0.48 m and 0.53 m respectively. The clearance volume is 5.2% of the swept volume and the compressor runs at 600 rev/min.

(a) Sketch the p-V diagram.

(b) Calculate EACH of the following:

(i) The index of compression

(ii) The volumetric efficiency

(iii) The indicated work per kg of air

(iv) The free air capacity in m³/min, given that free air conditions are 1.013 bar and 25°C.

Note: For air, R = 0.287 kJ/kg K.