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written by
John Lekner
The van der Waals equation of state together with Maxwell's equal area rule, leads to a transcendental equation for the densities of the two coexisting phases. Gibbs solved that this equation can be solved in parametric form. The author shows that the parameter can be chosen to be the difference between the entropy per molecule in the vapor and the entropy per molecule in the liquid Δs. The parametric solution gives the thermodynamic properties of the two coexisting phases as functions of Δs.
American Journal of Physics: Volume 50, Issue 2, Pages 161-163
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![]() <a href="https://www.compadre.org/portal/items/detail.cfm?ID=11292">Lekner, John. "Parametric solution of the van der Waals liquid–vapor coexistence curve." Am. J. Phys. 50, no. 2, (April 16, 1981): 161-163.</a>
![]() J. Lekner, , Am. J. Phys. 50 (2), 161 (1982), WWW Document, (https://doi.org/10.1119/1.12877).
![]() J. Lekner, Parametric solution of the van der Waals liquid–vapor coexistence curve, Am. J. Phys. 50 (2), 161 (1982), <https://doi.org/10.1119/1.12877>.
![]() Lekner, J. (1981, April 16). Parametric solution of the van der Waals liquid–vapor coexistence curve. Am. J. Phys., 50(2), 161-163. Retrieved May 1, 2025, from https://doi.org/10.1119/1.12877
![]() Lekner, John. "Parametric solution of the van der Waals liquid–vapor coexistence curve." Am. J. Phys. 50, no. 2, (April 16, 1981): 161-163, https://doi.org/10.1119/1.12877 (accessed 1 May 2025).
![]() Lekner, John. "Parametric solution of the van der Waals liquid–vapor coexistence curve." Am. J. Phys. 50.2 (1982): 161-163. 1 May 2025 <https://doi.org/10.1119/1.12877>.
![]() @article{
Author = "John Lekner",
Title = {Parametric solution of the van der Waals liquid–vapor coexistence curve},
Journal = {Am. J. Phys.},
Volume = {50},
Number = {2},
Pages = {161-163},
Month = {April},
Year = {1981}
}
![]() %A John Lekner %T Parametric solution of the van der Waals liquid–vapor coexistence curve %J Am. J. Phys. %V 50 %N 2 %D April 16, 1981 %P 161-163 %U https://doi.org/10.1119/1.12877 %O application/pdf ![]() %0 Journal Article %A Lekner, John %D April 16, 1981 %T Parametric solution of the van der Waals liquid–vapor coexistence curve %J Am. J. Phys. %V 50 %N 2 %P 161-163 %8 April 16, 1981 %@ 0002-9505 %U https://doi.org/10.1119/1.12877 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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