Geometric model of real gases described by the Redlich-Kwong-Soave equation of state

•Geometrothermodynamic description of Soave-Redlich-Kwong’s gases.•Geometrothermodynamics describes thermodynamic interactions and phase transitions.•Helmholtz free energy of Soave-Redlich-Kwong’s gases as fundamental equation.•The thermodynamic information is encoded in the equilibrium states manif...

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Bibliographic Details
Published in:Journal of molecular liquids 2023-02, Vol.372, p.121167, Article 121167
Main Authors: Sánchez, Alberto, Villalobos, Salvador
Format: Article
Language:English
Subjects:
Phase transition
Riemannian geometries
Thermodynamic functions and equations of state
Thermodynamics
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Summary:•Geometrothermodynamic description of Soave-Redlich-Kwong’s gases.•Geometrothermodynamics describes thermodynamic interactions and phase transitions.•Helmholtz free energy of Soave-Redlich-Kwong’s gases as fundamental equation.•The thermodynamic information is encoded in the equilibrium states manifold. In this work, we present the geometric description of the thermodynamic properties of the real gases described by the Redlich-Kwong-Soave equation of state using the formalism of geometrothermodynamics. We obtain the Helmholtz free energy for this kind of thermodynamics system and we showed that its geometric description is based on a metric on the space of thermodynamic equilibrium states, where its curvature and curvature singularities describe the thermodynamic interaction and phase transitions, respectively. We conclude that the formalism of geometrothermodynamics describes adequately and with accuracy the phase transition structure of these real thermodynamic systems. We exemplify our results by analyzing the Helium 4.
ISSN:0167-7322
1873-3166
DOI:10.1016/j.molliq.2022.121167