Does the Entropy Change in a Carnot Cycle Sum to Zero?

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In a Carnot cycle, the total entropy change for the entire system, including the engine and the two reservoirs, sums to zero, confirming its reversible nature. This conclusion is supported by the Clausius theorem, which states that reversible cycles have no net entropy change. Consequently, the entropy changes of the two reservoirs are equal in magnitude but opposite in sign. This relationship illustrates the balance of energy transfer in a Carnot cycle. Understanding these principles is crucial for thermodynamic efficiency analysis.
mindarson
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Is it true that for a Carnot cycle, the entropy change for the whole system (engine plus the two reservoirs) would add up to zero? I am reasoning that it would, by the Clausius theorem that for a reversible cycle (which a Carnot cycle is), the entropy change is zero. Otherwise it would not be reversible.

Is this correct? And in this case, does this mean that the entropy changes for the two reservoirs (each considered alone) are equal to each other in magnitude but opposite in sign?
 
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