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arXiv · 2508.17027

Reflections of Sadi Carnot

Mário José de Oliveira
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Abstract

The Carnot theory is unique among the theories of heat developed before the emergence of thermodynamics because it considers the relationship between heat and work. The theory is contained in Carnot's book published in 1824, which includes the basic ideas on how thermal machines work, including the need for a temperature difference. The fundamental principle of the theory is stated with the help of a cyclic process invented by Carnot, involving two isotherms and two adiabatics. The ratio between the mechanical work produced during the cycle and the heat involved depends only on the temperatures. We make a critical analysis of Carnot theory and show how the fundamental principle was used by Clausius to define entropy in terms of which he enunciated the second law of thermodynamics.

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Mário José de Oliveira. 2025-08-23. Reflections of Sadi Carnot. https://arxiv.org/abs/2508.17027

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