The following cycle involves 3 kg of air. From 1 to 2 is polytropic compression where P1=150 kPa, T1=360 K, P2=750 kPa, V2=0.54 m^3 and n=1.2 . From 2 to 3 is constant pressure cooling and from 3 to 1 is constant temperature heating. Determine the total work for the cycle. You may assume ideal gas behavior with constant specific heats.