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Q3) A single acting single stage air compressor runs at 300 rpm and has a clearance volume equal to 7% of the swept volume.

The compressor delivers 50 m³ of air per hour measured at 1.013 bar and 0℃.

The suction pressure and temperature are 0.98 bar and 23℃ (T₁ and T₄) respectively, and the discharge pressure and temperature are 6.6 bar and 170℃ (T₂ and T₃), respectively.

(a) Sketch the cycle on a pressure – volume diagram. (2)

(b) Calculate EACH of the following:

(i) the volume induced per cycle; (5)

(ii) the swept volume; (4)

(iii) the index of compression; (3)

(iv) the indicated power; (2)

Note: For C_p = 1.005 kJ/kgK  C_v = 0.718 kJ/kgK