Entropy analysis of a heat engine. consider a 40% efficient heat engine operating between a large, high-temperature reservoir at 1000 k (727◦c) and a large, cold reservoir at 300 k (27◦c).a. if it withdraws 106 j/s from the high-temperature reservoir, what would be the rate of loss of entropy from that reservoir and what would be the rate of gain by the low-temperature reservoir? b. express the work done by the engine in watts. c. what would be the total entropy gain of the system?