Legendre transforms and their application in thermodynamics

Authors

  • Bruce L. Beegle,

    1. Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
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  • Michael Modell,

    1. Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
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  • Robert C. Reid

    Corresponding author
    1. Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
    • Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
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  • Reviews for this paper were solicited and evaluated by Professor John M. Prausnitz, a member of the a Journal Editorial Board.

Abstract

Legendre transform theory is: (1) developed to show the relationships among the common thermodynamic potential functions (that is, energy, enthalpy, and free energy); (2) extended to introduce other potential functions which are particularly convenient in certain applications (for example, stability and critical point phenomena of multicomponent systems). General derivative operators are employed to allow partial derivatives of a given potential functions to be transformed to derivatives of other potential functions.

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