A Bell-Coleman refrigeration cycle operates between the pressures of \(50 \mathrm{kPa}\) and 250 \(\mathrm{kPa}\). Air enters the compressor at \(288 \mathrm{~K}\) and the turbine at \(313 \mathrm{~K}\). The air flow rate is \(0.08 \mathrm{~kg} / \mathrm{s}\). Take \(C_{P}=1.008 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}\) and \(\gamma=1.4\). Determine

(a) The power requirement

(b) The work of expansion

(c) The coefficient of performance.