The Hyperloop is a hypothetical new fast transport system between cities, which works by launching pods that carry people through a very low air pressure tunnel. The Hyperloop reduces friction between the pods and the tunnel by supporting the pod on a cushion of air. This air is gathered through the front of the pod and compressed from the initial ambient pressure and temperature of 99 Pa and 293 K to 2.1 kPa and 857 K. The rate of air compressed in this way is 0.49 kg/s and the total compressor input power is 276 kW. We define the efficiency ç of the compressor as the (work done on the gas)/(input work to the compressor). If the pressure as a function of volume during the compression is P=AV^−á , what is the efficiency of the compressor?
