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What Is the Real Clausius Statement of the Second Law of Thermodynamics?
In this paper, we first analyze the difference between the second law of thermodynamics and the laws in other disciplines. There are some phenomena in other disciplines similar to the Clausius Statement of the second law, but none of them has been accepted as the statement of a certain law. Clausius...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514258/ http://dx.doi.org/10.3390/e21100926 |
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author | Xue, Ti-Wei Guo, Zeng-Yuan |
author_facet | Xue, Ti-Wei Guo, Zeng-Yuan |
author_sort | Xue, Ti-Wei |
collection | PubMed |
description | In this paper, we first analyze the difference between the second law of thermodynamics and the laws in other disciplines. There are some phenomena in other disciplines similar to the Clausius Statement of the second law, but none of them has been accepted as the statement of a certain law. Clausius’ mechanical theory of heat, published in the nineteenth century, is then introduced and discussed in detail, from which it is found that Clausius himself regarded “Theorem of the equivalence of the transformation of heat to work, and the transformation of heat at a higher temperature to a lower temperature”, rather than “Heat can never pass from a colder to a warmer body without some other change”, as the statement of the second law of thermodynamics. The latter is only laid down as the fundamental principle for deriving the theorem of the equivalence of transformations. Finally, based on the theorem of the equivalence of transformations and the average temperature method, a general quantitative relation among the heat, the work, and the temperatures is obtained for arbitrary cycles, which is thus recommended as an alternative mathematic expression of the second law. Hence, the theorem of the equivalence of transformations is the real Clausius Statement of the second law of thermodynamics. |
format | Online Article Text |
id | pubmed-7514258 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-75142582020-11-09 What Is the Real Clausius Statement of the Second Law of Thermodynamics? Xue, Ti-Wei Guo, Zeng-Yuan Entropy (Basel) Article In this paper, we first analyze the difference between the second law of thermodynamics and the laws in other disciplines. There are some phenomena in other disciplines similar to the Clausius Statement of the second law, but none of them has been accepted as the statement of a certain law. Clausius’ mechanical theory of heat, published in the nineteenth century, is then introduced and discussed in detail, from which it is found that Clausius himself regarded “Theorem of the equivalence of the transformation of heat to work, and the transformation of heat at a higher temperature to a lower temperature”, rather than “Heat can never pass from a colder to a warmer body without some other change”, as the statement of the second law of thermodynamics. The latter is only laid down as the fundamental principle for deriving the theorem of the equivalence of transformations. Finally, based on the theorem of the equivalence of transformations and the average temperature method, a general quantitative relation among the heat, the work, and the temperatures is obtained for arbitrary cycles, which is thus recommended as an alternative mathematic expression of the second law. Hence, the theorem of the equivalence of transformations is the real Clausius Statement of the second law of thermodynamics. MDPI 2019-09-24 /pmc/articles/PMC7514258/ http://dx.doi.org/10.3390/e21100926 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Xue, Ti-Wei Guo, Zeng-Yuan What Is the Real Clausius Statement of the Second Law of Thermodynamics? |
title | What Is the Real Clausius Statement of the Second Law of Thermodynamics? |
title_full | What Is the Real Clausius Statement of the Second Law of Thermodynamics? |
title_fullStr | What Is the Real Clausius Statement of the Second Law of Thermodynamics? |
title_full_unstemmed | What Is the Real Clausius Statement of the Second Law of Thermodynamics? |
title_short | What Is the Real Clausius Statement of the Second Law of Thermodynamics? |
title_sort | what is the real clausius statement of the second law of thermodynamics? |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514258/ http://dx.doi.org/10.3390/e21100926 |
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