Explanation Write the expression for Carnot heat engine function between source temperatures and sink temperature. η th, source = 1 − T L T H , source (I) Here, the source temperature of higher temperature body is T H and the temperature of lower temperature body is T L . Write the expression for thermal efficiency of the Carnot heat engine. η t h = 1 − T L T H (II) Here, the temperature of higher temperature body is T H . Conclusion: The source thermal efficiency is equal to double thermal efficiency of the Carnot heat engine as: η th,source = 2 η t h (II) Substitute Equation (I) and (II) into Equation (III). ( 1 − T L T H , source ) = 2 ( 1 − T L T H ) ( 1 − T L T H , source ) = 2 − 2 T L T H 2 T L T H − T L T H , source = 1

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Chapter 6.11, Problem 153RP

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The source temperature that will double the efficiency of the Carnot heat engine.

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Chapter 6.11, Problem 151RP

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The source temperature that will double the efficiency of the Carnot heat engine.

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