Derive Clausius inequality. State when the inequality becomes equality.
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∆ The Clausius inequality for a closed system states that the process is irreversible if TdS > dQ, and the process is reversible if TdS = dQ. ... Total entropy change dS: Sum of the changes in internal entropy and external entropy between a system and reservoir.
∆ The Clausius Inequality applies to any real engine cycle and implies a negative change in entropy on the cycle. That is, the entropy given to the environment during the cycle is larger than the entropy transferred to the engine by heat from the hot reservoir.
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