An air compressor is used to fill rapidly a 3 m3 tank at 20°C and 1 atm. The filling process is governed by the law pv1.4 = constant. The kinetic and potential energy effects are negligible. The ratio of the final to the initial mass of air in the tank is 4. Work out the following:
(i) Sketch the system and list the assumptions made
(ii) Work input to the compressor