The Triple Product Rule is Incorrect

Author:

Stepanov Igor,

Abstract

The triple product rule, also known as the cyclic chain rule, cyclic relation, cyclical rule or Euler’s chain rule, relates the partial derivatives of three interdependent variables, and often finds application in thermodynamics. It is shown here that its derivation is wrong, and that this rule is not correct; hence, the Mayer’s relation and the heat capacity ratio, which describe the difference between isobaric and isochoric heat capacities, are also untrue. Also, the relationship linking thermal expansion and isothermal compressibility is wrong. These results are confirmed by many experiments and by the previous theoretical findings of the author.

Publisher

Lattice Science Publication (LSP)

Reference12 articles.

1. J.R. Elliott and C.T. Lira, Introductory Chemical Engineering Thermodynamics, 2nd ed., Prentice Hall, 2012. p. 133

2. S.M. Blinder, Mathematical methods in elementary thermodynamics, J. Chem. Edu. vol. 43, Febr. 1966, pp.8592..

3. A.H. Carter, Classical and Statistical Thermodynamics, Prentice Hall, 2001, p. 391.

4. Triple product rule. https://en.wikipedia.org/wiki/Triple_product_rule, (accessed 31 March 2021).

5. I.A. Stepanov, The isochoric heat capacity of ZrW2O8 and Sc2W3O12 is greater than their isobaric one, Mater. Lett. vol. 177, Aug. 2016, pp.112115.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3