A single acting, two stage air compressor running at 400 rpm delivers air at 30 bar, while the intake conditions are 0.98 bar and 301 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.