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Journal of Chemical Physics / Volume 136 / Issue 6 / ARTICLES / Theoretical Methods and Algorithms

J. Chem. Phys. 136, 064106 (2012); http://dx.doi.org/10.1063/1.3683443 (7 pages)

Critical lines for an unequal size of molecules in a binary gas-liquid mixture around the van Laar point using the combination of the Tompa model and the van der Waals equation

Mustafa Gençaslan and Mustafa Keskin

Physics Department, Erciyes University 38039 Kayseri, Turkey

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(Received 3 October 2011; accepted 21 January 2012; published online 10 February 2012)

We combine the modified Tompa model with the van der Waals equation to study critical lines for an unequal size of molecules in a binary gas-liquid mixture around the van Laar point. The van Laar point is coined by Meijer and it is the only point at which the mathematical double point curve is stable. It is the intersection of the tricritical point and the double critical end point. We calculate the critical lines as a function of x1 and x2, the density of type I molecules and the density of type II molecules for various values of the system parameters; hence the global phase diagrams are presented and discussed in the density-density plane. We also investigate the connectivity of critical lines at the van Laar point and its vicinity and discuss these connections according to the Scott and van Konynenburg classifications. It is also found that the critical lines and phase behavior are extremely sensitive to small modifications in the system parameters.

© 2012 American Institute of Physics

Article Outline

  1. INTRODUCTION
  2. MODEL AND METHOD
  3. CALCULATION OF THE CRITICAL LINES
  4. DISCUSSION OF THE RESULTS

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KEYWORDS and PACS

Keywords

critical points, liquid mixtures, phase diagrams

PACS

  • 64.75.Cd

    Phase equilibria of fluid mixtures, including gases, hydrates, etc.

  • 64.60.Kw

    Multicritical points

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3683443

PUBLICATION DATA

ISSN

0021-9606 (print)  
1089-7690 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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