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Q15. (a) Sketch the p-V diagram for a two-stage reciprocating air compressor, indicating the area(s) which represent the work saved by intercooling.

(b) In a two-stage reciprocating air compressor, the LP suction pressure is 1 bar, the LP delivery and HP suction pressure is 4 bar, and the HP delivery pressure is 15 bar. The LP suction temperature is 289 K and the HP suction temperature is 305 K. The index of compression and expansion is 1.28. Calculate EACH of the following:

(i) the indicated work per kg

(ii) the heat removed in the intercooler per kg

(iii) the isothermal efficiency.

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