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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V. V. Anisimov, V. A. Rabinovich, and V. V. Sychev, Themodynamics of Critical State of Individual Substances (Energoatomizdat, Moscow, 1990) [in Russian].
A. V. Trotsenko and A. V. Valyakina, Tekhnicheskie Gazy, No. 4, 50 (2005).
A. V. Trotsenko, Zh. Fiz. Khim. 72(5), 1507 (1998) [Russ. J. Phys. Chem. 72 (8), 1369 (1998)].
A. V. Trotsenko, Zh. Fiz. Khim. 75(4), 586 (2001) [Russ. J. Phys. Chem. 75 (4), 508 (2001)].
I. P. Bazarov, Thermodynamics (Vysshaya Shkola, Moscow, 1976) [in Russian].
A. Münster, Chemische Thermodynamik (Chemie, Weinheim, 1969; Mir, Moscow, 1971).
V. V. Sychev, Differential Equations of Thermodynamics, 2nd ed. (Vysshaya Shkola, Moscow, 1991) [in Russian].
A. V. Trotsenko, Zh. Fiz. Khim. 76(5), 800 (2002) [Russ. J. Phys. Chem. 76 (5), 702 (2002)].
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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