A thermodynamic engine operates cyclically and reversibly between two temperature reservoirs, absorbing heat from the high-temperature bath at 450 K and discharging heat to the low- temperature bath at 300 K.

a. What is the maximum theoretical thermodynamic efficiency (in %) of the engine?

b. Assuming the engine operates at the maximum theoretical efficiency, how much heat is discarded to the low-temperature bath if 1500 J of heat is absorbed from the high- temperature bath during each cycle?

c. At the maximum theoretical efficiency, how much work does the engine perform on the surroundings in one cycle of operation if, again, 1500 J of heat is absorbed from the high temperature bath during each cycle?