Consider an engine whose working system is n moles of a gas whose molecules have five degrees of...

Consider an engine whose working system is n moles of a gas whose molecules have five degrees of freedom apiece. It has a three-stage cycle, starting at pressure and volume p_{1}, V_{1}. The first stage is isochoric heat addition until the pressure reaches p_{2}, the second stage is adiabatic expansion, and the third stage is isothermal compression back to the starting point (p_{1}, V_{1}). In terms of n, p_{1}, V_{1}, and p_{2}, find (a) the pressure, volume, and temperature at the end of each stage,

(b) the heat added, the work done, and the change in internal energy during each stage.