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Thermodynamics, Mnemonic Matrices and Generalized Inverses

Published online by Cambridge University Press:  17 February 2009

R. B. Leipnik  and
C. E. M. Pearce
R. B. Leipnik
Affiliation:
(Deceased October 10, 2006), Department of Mathematics, UCSB, Ca 93106-3080, USA
C. E. M. Pearce
Affiliation:
School of Mathematical Sciences, University of Adelaide, Australia 5005; email: charles.pearce@adelaide.edu.au.
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Abstract

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We present an alternative matrix mnemonic for the basic equations of simple thermodynamics. When normalized, this permits an explicit generalized inverse, allowing inversion of the mechanical and chemical thermodynamic equations. As an application, the natural variables S, V, P and T are derived from the four energies E (internal), F (free), G (Gibbs) and H (enthalpy).

Keywords

thermodynamicsmatrix mnemonicsgeneralized inverses
Type
Research Article
Information
The ANZIAM Journal , Volume 48 , Issue 4 , April 2007 , pp. 493 - 501
Copyright
Copyright © Australian Mathematical Society 2007

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