3.6 a A reversible heat engine, operating in a cycle, withdraws thermal energy from a high-temperature reservoir (the temperature of which consequently decreases), performs work w, and rejects thermal energy into a low-temperature reservoir (the temperature of which consequently increases). The two reservoirs are, ini- tially, at the temperatures T, and T2 and have constant heat capacities C, and C2, respectively. Calculate the final temperature of the system and the maximum amount of work which can be obtained from the engine. 1