3. [20] A system containing 2.5mol of a perfect gas for which Cvm= 20.79J/molK is taken through the cycle in the right diagram in the direction indicated by the arrows. The curved path corresponds to pV =nRT,where T=T1=T3 Calculate q,w,U, and H for each path and for the cycle assuming that the beat capacity is independent of temperature. The extemal pressure is constant at 16.6 bar in the path from 1 to 2 , and the path from 3 to 1 is a reversible isothermal compression