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RAS Chemistry & Material ScienceЖурнал физической химии Russian Journal of Physical Chemistry

  • ISSN (Print) 0044-4537
  • ISSN (Online) 3034-5537

Saturation Line of Ethane in the Renormalization Group Theory Using the Clapeyron–Clausius Equation

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PII
10.31857/S0044453723110286-1
DOI
10.31857/S0044453723110286
Publication type
Status
Published
Authors
S.V. Rykov
  • Affiliation: St. Petersburg State Marine Technical University
Volume/ Edition
Volume 97 / Issue number 11
Pages
1561-1572
Abstract
A system of mutually consistent equations for ethane is developed that describes pressure @, vapor density , liquid density @, derivative , and heat of vaporization on the phase equilibrium line in the range of the triple point to the critical point. The system also includes apparent heat of vaporization @, which is associated with heat of vaporization @: @. It is established on the basis of the thermodynamic analysis that (1) the condition of average diameter @ is fulfilled at each point of the saturation line except for the critical point, at which @, and (2) the average diameter is reduced sharply in the interval of @. The system of mutually consistent equations reproduces the phase @ quilibrium line of ethane within the experimental uncertainty data of Funk@ et al. (2002) in the range of the triple point (@, @, @) to the critical point (@, @, @). It also reproduces features of the critical point in accordance with the renormalization group (RG) theory developed by Zhou et al. (2022) for a system of @ symmetric systems. Based on the Clausius–Clapeyron equation and renormalization group theory, an expression is obtained for the apparent heat of vaporization. Analysis of average diameter @ for two groups of complexes shows that (a) , @, and @, and (b) , @, and @, which correspond to values @, @ , and @ obtained by Wang et al. (2013) in the RG theory and the modeling of experimental data for ethane on the saturation line. Based on the proposed system of mutually consistent equations, average diameter @of ethane is found for complexes (a) and (b), and it is established that the average diameter determined on the basis of data by Funke et al. (2002) is given most accurately by the system of mutually consistent equations in the range of @ to @ with parameters , @, and @.
Keywords
этан линия упругости линия фазового равновесия теория ренормгруппы средний диаметр критические индексы уравнение Клапейрона–Клаузиуса
Date of publication
12.09.2025
Year of publication
2025
Number of purchasers
0
Views
13

References

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