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A single acting, two stage air compressor running at 300 rpm delivers air at 20 bar, while the intake conditions are 0.98 bar and 305 K. The intermediate pressure is 5 bar and the clearance volume for low pressure compressor is 4 percent of its stroke volume. The compressor delivers 3 m3 /min at 1 bar and 15° C. Estimate

(i)    Power required to drive the compressor in kW.

(ii)   Low pressure cylinder dimensions if      L = D

(iii)  Isothermal efficiency when the intercooling is perfect and the index       n = 1.3 for compression and expansion.        

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