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Thermodynamic equations for the isobaric and isochoric heat capacities of pure substances at the critical point

  • Chemical Thermodynamics and Thermochemistry
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Abstract

It was proved on the assumption of a nonzero and finite slope of the elasticity curve at the critical point that the isochoric heat capacity at this point cannot be established on the basis of thermodynamics only. The critical conditions of a pure substance were derived from the differential equations of thermodynamics using a rigorous mathematical apparatus. Several indeterminate forms containing isochoric or isobaric heat capacities or their derivatives were evaluated.

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References

  1. V. V. Anisimov, V. A. Rabinovich, and V. V. Sychev, Themodynamics of Critical State of Individual Substances (Energoatomizdat, Moscow, 1990) [in Russian].

    Google Scholar 

  2. A. V. Trotsenko and A. V. Valyakina, Tekhnicheskie Gazy, No. 4, 50 (2005).

  3. A. V. Trotsenko, Zh. Fiz. Khim. 72(5), 1507 (1998) [Russ. J. Phys. Chem. 72 (8), 1369 (1998)].

    Google Scholar 

  4. A. V. Trotsenko, Zh. Fiz. Khim. 75(4), 586 (2001) [Russ. J. Phys. Chem. 75 (4), 508 (2001)].

    CAS  Google Scholar 

  5. I. P. Bazarov, Thermodynamics (Vysshaya Shkola, Moscow, 1976) [in Russian].

    Google Scholar 

  6. A. Münster, Chemische Thermodynamik (Chemie, Weinheim, 1969; Mir, Moscow, 1971).

    Google Scholar 

  7. V. V. Sychev, Differential Equations of Thermodynamics, 2nd ed. (Vysshaya Shkola, Moscow, 1991) [in Russian].

    Google Scholar 

  8. A. V. Trotsenko, Zh. Fiz. Khim. 76(5), 800 (2002) [Russ. J. Phys. Chem. 76 (5), 702 (2002)].

    CAS  Google Scholar 

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Correspondence to A. V. Trotsenko.

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Original Russian Text © A.V. Trotsenko, 2008, published in Zhurnal Fizicheskoi Khimii, 2008, Vol. 82, No. 6, pp. 1070–1073.

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Trotsenko, A.V. Thermodynamic equations for the isobaric and isochoric heat capacities of pure substances at the critical point. Russ. J. Phys. Chem. 82, 938–941 (2008). https://doi.org/10.1134/S0036024408060125

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  • DOI: https://doi.org/10.1134/S0036024408060125

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