(Solved): The low-pressure cylinder of a two-stage reciprocating air compressor has a bore and stroke of 350 ...

The low-pressure cylinder of a two-stage reciprocating air compressor has a bore and stroke of $350\mathrm{mm}$ and $320\mathrm{mm}$ respectively, with a clearance volume of $7\%$ of the stroke volume. It runs at $400\mathrm{rpm}$, The inlet pressure and temperature are $88\mathrm{kPa}$ and $25^{\circ }\mathrm{C}$ respectively, while the delivery pressure has to be $1190\mathrm{kPa}$, Accept perfect inter-cooling conditions with a compression Index of 1.27 throughout the compressor. Draw a P-V-diagram and calculate; the effective stroke volume of the low-pressure cylinder, the mass flow rate of air $(\mathrm{kg}/\min )$ through the compressor, the heat transfer rate $(\mathrm{kJ}/\min )$ in the intercooler, and minimum power required to drive the compressor.