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 TVT, 2006, Volume 44, Issue 1, Pages 82–89 (Mi tvt1291)

Thermophysical Properties of Materials

The second and third virial coefficients of simple fluids

G. Sh. Boltachev, V. G. Baidakov

Institute of Thermal Physics, Ural Branch, Russian Academy of Sciences, Ekaterinburg

Abstract: The asymptotic behavior of the second $B$ and third $C$ virial coefficients in the low temperature region is analyzed for fluids with a spherical pair-additive potential of interparticle interaction. The temperature dependences $B(T)$ and $C(T)$are approximated by expressions which convey correctly the behavior of the virial coefficients in the low-and high-temperature limits. The free parameters of approximation formulas for pure nitrogen, argon, and oxygen are determined. The derived virial equations of state are used to calculate the limit of significant instability of the gas phase in a wide temperature range.

Full text: PDF file (1590 kB)

English version:
High Temperature, 2006, 44:1, 83–90

UDC: 533.12

Citation: G. Sh. Boltachev, V. G. Baidakov, “The second and third virial coefficients of simple fluids”, TVT, 44:1 (2006), 82–89; High Temperature, 44:1 (2006), 83–90

Citation in format AMSBIB
\Bibitem{BolBai06} \by G.~Sh.~Boltachev, V.~G.~Baidakov \paper The second and third virial coefficients of simple fluids \jour TVT \yr 2006 \vol 44 \issue 1 \pages 82--89 \mathnet{http://mi.mathnet.ru/tvt1291} \elib{http://elibrary.ru/item.asp?id=9242448} \transl \jour High Temperature \yr 2006 \vol 44 \issue 1 \pages 83--90 \crossref{https://doi.org/10.1007/s10740-006-0009-z} \elib{http://elibrary.ru/item.asp?id=13521165} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33644887726} 

• http://mi.mathnet.ru/eng/tvt1291
• http://mi.mathnet.ru/eng/tvt/v44/i1/p82

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. Gamez F., Caro C., “the Second Virial Coefficient For Anisotropic Square-Well Fluids”, J. Mol. Liq., 208 (2015), 21–26
2. Gonzalez-Calderon A., Rocha-Ichante A., “Second Virial Coefficient of a Generalized Lennard-Jones Potential”, J. Chem. Phys., 142:3 (2015), 034305
3. Alvarez Navarro E., Diaz B., Angel Garcia-Ariza M., Ramirez J.E., “Effects of the Second Virial Coefficient on the Adiabatic Lapse Rate of Dry Atmospheres”, Eur. Phys. J. Plus, 134:9 (2019), 458
4. Somuncu E., “Accurate Assessment of the Boyle Temperature of Nonpolar Molecular Gases Using Second Virial Coefficient With Lennard-Jones (12-6) Potential”, Indian J. Phys., 93:5 (2019), 565–569