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Andrew M. Steane

Print publication date: 2016

Print ISBN-13: 9780198788560

Published to Oxford Scholarship Online: January 2017

DOI: 10.1093/acprof:oso/9780198788560.001.0001

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The Second Law and entropy

The Second Law and entropy

(p.93) 8 The Second Law and entropy

Andrew M. Steane

Oxford University Press

Starting from the Kelvin and Clausius statements of the second law, all the remaining foundations of thermodynamics are obtained. Heat engines and the Carnot cycle are introduced, and used to prove the equivalence of the two statements, and to obtain Carnot’s theorem. Absolute temperature is then defined and discussed. Clausius’ theorem is obtained, and used to derive the existence of the state function called entropy.

Keywords:   Kelvin statement, Clausius statement, heat engine, Carnot cycle, Carnot’s theorem, absolute temperature, Clausius’ theorem, entropy

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