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 and to and . The intake rate of air is . What is the rate of heat energy gain for the air during compression in Watts?
(The Hyperloop has a water cooling system to cool the air back down so that the air cushion system is not expelling incredibly hot air into the tunnel.)
Details and assumptions