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Q12. The free air capacity of a reciprocating air compressor is 15 m³/min. Free air and suction pressure and temperature are 1.00 bar and 30°C respectively. The delivery pressure is 13.0 bar. Compression is carried out in two stages with perfect intercooling under minimum work conditions. The index of compression and expansion is 1.28.

(a) Sketch the p-V diagram for the compressor.

(b) Determine EACH of the following:

(i) The total indicated power

(ii) The rate of intercooling

(iii) The isothermal efficiency.

Note: For air, R = 0.287 kJ/kg K and C_p = 1.005 kJ/kg K.