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Analysis of the second virial coefficient, and application to rare gas mixtures

  • Elif Somuncu EMAIL logo and Bahtiyar A. Mamedov
Published/Copyright: January 20, 2022
Zeitschrift für Naturforschung A
From the journal Zeitschrift für Naturforschung A Volume 77 Issue 4

Abstract

The second virial coefficients characterize the real-gas non-ideality caused by the interaction between molecular pairs and ensure a link between macroscopic thermodynamic properties and microscopic molecular interactions because they depend on intermolecular interaction energy and temperature. Therefore, the second virial coefficients that are suitable for calculating the thermodynamic properties of gases used in the many fields in this work are preferred. In this study, a semi-analytic representation for the second virial (SV) coefficient over exponent–spline-Morse-spline-van der Waals potential (ESMSV), investigating the thermodynamic properties of rare gases, is presented. In the study the series formulae of the hypergeometric function, exponential function, gamma function, Meijer function, and binomial expansion have used in the suggested method. The numerical approach has been used mostly to evaluate the SV coefficient with ESMSV potential in literature. This unified formula can be applied and tested for rare gases. The obtained results for the SV coefficient over ESMSV potential of 4He–4He, 4He–Ne, 4He–Ar, 4He–Kr, 4He–Xe, Ne–Ne, O2–O2, and Ar–O2 rare gases have been compared with alternative experimental data and numerical calculations and shown that semi-analytical expression can be successfully applied to evaluate simple fluids.

Keywords: Exponent–spline-Morse-spline-van der Waals potential; second virial coefficient; virial equation of state
Corresponding author: Elif Somuncu, Department of Medical Services and Technology, Ulubey Vocational High School , Usak University , Usak, Turkey, E-mail:

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: None declared.

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Supplementary Material

The online version of this article offers supplementary material (https://doi.org/10.1515/zna-2021-0324).

Received: 2021-11-04
Accepted: 2021-12-30
Published Online: 2022-01-20
Published in Print: 2022-04-26

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/zna-2021-0324
Keywords for this article
Exponent–spline-Morse-spline-van der Waals potential; second virial coefficient; virial equation of state

Articles in the same Issue

  1. Frontmatter
  2. Dynamical Systems & Nonlinear Phenomena
  3. Investigation of the non-linear vibration behaviour and 3:1 internal resonance of the multi supported nanobeam
  4. Third harmonic generation of a relativistic self-focusing laser in plasma under exponential density ramp
  5. Flow and heat over a rotating disk subject to a uniform horizontal magnetic field
  6. Hydrodynamics
  7. The effect of surfactant on the drag and wall correction factor of a drop in a bounded medium
  8. The effect of second order slip condition on MHD nanofluid flow around a semi-circular cylinder
  9. Turbulent boundary layer heat transfer of CuO–water nanofluids on a continuously moving plate subject to convective boundary
  10. Thermodynamics & Statistical Physics
  11. A self-similar solution for shock waves in conducting rotating non-ideal dusty gas medium with monochromatic radiation and magnetic field
  12. Analysis of the second virial coefficient, and application to rare gas mixtures
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