Consider a three-stage engine whose working fluid is one mole of a gas whose molecules have five degrees of freedom each. Each cycle starts at pressure and volume p1, V1 and expands to volume V2. In terms of p1, V1, and V2, find the heat added ΔQ and work done ΔW for each of the three stages if the cycle is:
(a) adiabatic expansion, followed by isobaric compression, followed by isochoric heat addition,
(b) isothermal expansion, followed by isobaric compression, followed by isochoric heat addition,
(c) adiabatic expansion, followed by isothermal compression, followed by isochoric heat addition,
(d) isothermal expansion, followed by isochoric heat removal, followed by adiabatic compression. Sketch a p-V diagram for each of the above processes. Sketch a T-S diagram for each of the above processes.