A single cylinder, single acting air compressor has a cylinder diameter of \(140 \mathrm{~mm}\) and stroke of \(2800 \mathrm{~mm}\). It draws air into the cylinder at a pressure of 1 bar and temperature \(27^{\circ} \mathrm{C}\). This air is then compressed adiabatically to a pressure of 7 bars if the compressor runs at a speed of 120 rpm, find (i) mass of air compressed per cycle, (ii) work required per cycle, and (iii) power required to drive the compressor. Neglect the clearance volume and take \(\mathrm{R}=0.287 \mathrm{~kJ} / \mathrm{kgK}\).