ANZIAM  J.  48 (2007), 493-501
Thermodynamics, Mnemonic Matrices and Generalized Inverses

R. B. Leipnik
  (Deceased October 10, 2006)
  Department of Mathematics
  UC Santa Barbara
  CA 93106-3080
C. E. M. Pearce
  School of Mathematical Sciences
  University of Adelaide
  Adelaide, 5005

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).
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