Consider a three-stage engine whose working fluid is one mole of agas whose molecules have five degrees of freedom each. At the first stage the gas starts at temperature TI and expands until the temperature falls to T2. For each of the two cycles described below, sketch the p-V diagram. Also, find the heat added ΔQ and the work done ΔW for each of the three stages in terms of T1, and T2.
(a) Adiabatic expansion, followed by isothermal compression, followed by isochoric heat addition.
(b) Adiabatic expansion, followed by isobaric compression, followed by isochoric heat addition.