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Prove the equivalence of Kelvin-Planck and Clausius statements.

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Mechanical Engineering

Prove the equivalence of Kelvin-Planck and Clausiusstatements.

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KelvinPlanck Statement It is impossible todevelop a device which exchanges energy with a single reservoir andproduces net work outputThe concept of such a device is called PMM2 and isimpossibleHeat engine with single thermal reservoir is not possibleFor a 1T engine the thermal efficiency hWQ1 No heat enginecan have efficiency equal to unityClausius statements It is impossible to evelop a cyclic devicewhich transfers heat from lower temperature    See Answer
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