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An identity in chemical thermodynamics

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Abstract

In this work we consider the equilibrium state of a multicomponent system in which chemical reactions occur, and its sensitivity to the change of any of the thermodynamic parameters influencing the equilibrium. A general expression is obtained for the sensitivity coefficient∂n i/∂Y, wheren i is the equilibrium amount of theith chemical species in the system, andY is a thermodynamic parameter such as temperature, pressure, initial amount of a species, chemical potential of a species, etc. We demonstrate that the sensitivity coefficients are linear combinations of contributions originating from certain special reactions, called response reactions, which are defined in the paper.

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References

  1. I. Prigogine and R. Defay,Chemical Thermodynamics (Longmans, London 1954).

    Google Scholar 

  2. W.R. Smith and R.W. Missen,Chemical Reaction Equilibrium Analysis: Theory and Algorithms (Wiley, New York, 1982).

    Google Scholar 

  3. M. Beck and I. Nagypál,Chemistry of Complex Equilibria (Akadémiai Kiadó, Budapest, 1990).

    Google Scholar 

  4. I. Fishtik, I. Nagypál and I. Gutman, J. Chem. Soc. Faraday Trans. 90 (1994), in press.

  5. I. Fishtik, I. Nagypál and I. Gutman, J. Chem. Soc. Faraday Trans., submitted.

  6. R.N. Shreve and J.A. Brink,Chemical Process Industries (McGraw-Hill, New York, 1977).

    Google Scholar 

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Author notes

  1. I. Gutman

    Present address: Faculty of Science, University of Kragujevac, Kragujevac, Yugoslavia

Authors and Affiliations

  1. Institute of Physical Chemistry, Attila József University, P.O. Box 105, H-6701, Szeged, Hungary

    I. Gutman & N. Nagypál

  2. Institute of Chemistry, Academy of Sciences of Moldova, str. Academiei 3, 277028, Kishinev, Republica Moldova

    I. Fishtik

Authors
  1. I. Gutman
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  2. I. Fishtik
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  3. N. Nagypál
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Gutman, I., Fishtik, I. & Nagypál, N. An identity in chemical thermodynamics. J Math Chem 16, 229–244 (1994). https://doi.org/10.1007/BF01169210

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  • DOI: https://doi.org/10.1007/BF01169210

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