The Triple Product Rule is Incorrect

Author:

Stepanov* Igor1

Affiliation:

1. Scholar/Institute of Science and Innovative Technologies, Liepaja University,/ Liepaja, Latvia, LV-3401.

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.

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