The Brayton refrigeration cycle works on the principle of air standard refrigeration and uses air as the working fluid. The pressure ratio of the compressor is 5. At the compressor inlet, the pressure is \(100 \mathrm{kPa}\) and the temperature is \(308 \mathrm{~K}\). Determine the work of compression, the work of expansion, and the coefficient of performance. Take \(C_{P}=1.008 \mathrm{~kJ} / \mathrm{kg}-\mathrm{K}\) and \(\gamma=1.4\).