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ThermodynamicsA complete undergraduate course$
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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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Reinventing the subject

Reinventing the subject

(p.259) 18 Reinventing the subject

Andrew M. Steane

Oxford University Press

We consider thermodynamics afresh, starting out from the maximum entropy statement of the second law. Temperature, pressure, and chemical potential are derived from the entropy and stability conditions (assuming also the first law, i.e. conservation of energy). Carnot’s theorem and other second law statements are derived. The Caratheodory statement is discussed and it is shown how it can be used to deduce the existence of the entropy function of state, via adiabatic surfaces. Negative temperature is also defined and explained.

Keywords:   Maximum entropy, Caratheodory, negative temperature, Carnot’s theorem, entropy function of state

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