Finding and analysis of the partial mutual diffusion coefficients for binary solutions with chloroform using the complex-associative model

V. V. Nikonova; V. V. Obukhovsky

doi:10.17721/1812-5409.2020/1-2.16

Authors

V. V. Nikonova Taras Shevchenko National University of Kyiv
V. V. Obukhovsky Taras Shevchenko National University of Kyiv https://orcid.org/0000-0002-3380-7965

DOI:

https://doi.org/10.17721/1812-5409.2020/1-2.16

Abstract

In the article within the complex-associative model of liquid systems the nonlinear diffusion for a number of binary solutions, such as acetone-chloroform, tetrachlorethane-chloroform, diethyl ether-chloroform and benzene-chloroform, is considered: Real binary solutions are replaced by ideal three-component ones, which consist of averaged two associates of substance and solvent and an effective averaged complex, which is the result of quasi-chemical reactions of molecular solutions. The coefficient of mutual diffusion, which nonmonotonically depends on the concentration of the solvent, is represented as a matrix of partial coefficients of mutual diffusion, which are constant values and represent the material parameters of the considered solutions. The method of analytical calculation of numerical values of such quantities when considering the simplest type of one averaged complex is developed. It is shown that the partial coefficients are constant values and the analysis of their values for the considered solutions depending on the structure of the molecules of the substance, enthalpy and temperature is carried out. Based on the proposed approach, the deviation of the calculated «Fick’s» coefficient of mutual diffusion through the matrix of partial coefficients in comparison with experimental data is less than 2.5%.

Key words: complex-associative model, nonlinear diffusion, binary solution, partial coefficients mutual diffusion coefficient.

Pages of the article in the issue: 97 - 100

Language of the article: Ukrainian

Author Biographies

V. V. Nikonova, Taras Shevchenko National University of Kyiv

доцент кафедри електрофізики

V. V. Obukhovsky, Taras Shevchenko National University of Kyiv

професор кафедри математики та теоретичної радіофізики

References

Karpov G.M., Spatial transfer of matter as a method of holographic recording in photoformers / G.M. Karpov, V.V. Obukhovsky, T.N. Smirnova, V.V. Lemeshko // Opt. Commun. – 2000. – Vol. 174. – P. 391-404.

Pertler M. Fickian diffusion in binary mixtures that form two liquid phases / M. Pertler, E. Blass, G.W. Stevens // AIChE J. – 1996. – Vol. 42. – P. 910-920.

Moggridge G.D., Prediction of the mutual diffusivity in binary liquid mixtures containing one dimerising species, from the tracer diffusion coefficients / G.D. Moggridge // Chem. Eng. Sci. – 2012. – Vol. 76. – P. 199-205.

Durov V.A. Models of liquid mixtures: Structure, dynamics, and properties / V.A. Durov // Pure Appl. Chem. – 2004. – Vol. 76. – P. 1-10.

Obukhovsky V.V. Nonlinear diffusion in the liquid solution of diethyl ether with chloroform / V.V. Obukhovsky, A.M. Kutsyk, V.V. Nikonova, O.O. Ilchenko // Phys. Rev. E. – 2017. – Vol. 95. – Р. 022133-022143.

KUTSUK A., OBUKHOVSKY V. (2015) “Mutual diffusion in acetone-cyclohexane solution.” J. Phys. Research. Vol.19., р.р. 3603(1-9).

OBUKHOVSKY V.V., NIKONOVA V.V.(2010) Interdiffusion in water solutions of ethyl alcohol. Ukr. J. Phys. Vol. 55., p.p. 891-896.

OBUKHOVSKY V.V., NIKONOVA V.V., ILCHENKO O.O. (2011) “Nonlinear diffusion in binary solution with formation complex of 1-1” Bull. Of Univ. of Kyiv (Radiophys. and El.). Vol. 16., р.р. 41-42.

Medvedev O.O. Modeling diffusion coefficients in inary mixtures of polar and non-polar compounds / O.O. Medvedev, A.A. Shapiro // Fluid Phase Equilibria. – 2005. – Vol. 236. – P. 111-124.

Kelly C.M. Tracer and mutual diffusivities in the system Chloroform-Carbon tetrachloride at 25C / C.M. Kelly, G.B. Wirth, D.K. Anderson // J. Phys. Chem. – 1971. – Vol. 75. – P. 3293-3296.

Rowley R.L. Mutual diffusivity, thermal conductivity, and heat of transport in binary liquid mixtures of alcanes in chloroform / R.L. Rowley, Sung Chul Yi, D.V. Gubler, J.M. Stoker // J. Chem. Eng. Data. – 1988. – Vol. 33. – P. 362-366.