How do I solve this?

Consider the following engine cycle performed on an ideal gas of N Inonatomic atoms. Step 1-2 is performed at constant entropy, step 2-3 is performed at constant temperature and step 3-1 is performed at constant volume. These steps are carried out by putting the gas in contact with appropriate heat reservoirs (at TL. TH) and insulator. P V (a) (2 points) What are the temperatures at the three points in the above gure 71.72, 1'3 in terms of T1, and TH. Explain your reasoning. (b) (3 points) Find the total net work done by the gas during one cycle in terms of N . TL.TH. [Hint If you want to do an integral over (1V that's OK, but you should note that 1/; / VJ can be related to Ti/Tj so that your nal result is independent of V1. V5, V3.] (c) (3 points) What are the heat input and heat output for the gas during one cycle in terms of N. TL and TH? ls energy conserved? (d) (2 points) Show that this cycle's efficiency is less than that. of a Carnot engine operating at the same of temperatures TL. TH