Final answer:
The entropy does not increase for a Carnot engine with each cycle; instead, it remains constant over a complete cycle.
No, the entropy does not increase for a Carnot engine for each cycle.(b)
Step-by-step explanation:
No, the entropy does not increase for a Carnot engine for each cycle. In fact, the total entropy change for the system and surroundings over one complete reversible cycle is zero. This means that for the Carnot cycle, any entropy lost by the hot reservoir is exactly balanced by the entropy gained by the cold reservoir.
The hot reservoir experiences a loss in entropy (ASh = -Qh/Th) when it transfers heat out, and the cold reservoir experiences a gain in entropy (ASc = Qc/Tc) when it absorbs heat. The change in entropy for the Carnot engine itself over one cycle is defined by the equation ASE = ASh + ASc, which, due to the reversibility and the equality Qh/Th = Qc/Tc, sums to zero, indicating no net entropy change after a complete cycle.