New Mixing Rule for Predicting Surface Tension of Mixtures

Document Type : Research Article

Author

Chemical Engineering Department, University of Mohaghegh Ardabili, P.O. Box 179 Ardabil, I.R. IRAN

Abstract

In this paper, a new mixing rule for predicting the surface tension of liquid mixtures is presented. The resulting equation is provided by a combination of Gibbs- Vollmer relation and NRTL activity coefficient model. The proposed model accurately predicts the surface tension of aqueous and non-aqueous solutions in a wide range of concentration. In order to evaluate the ability of this model, several surface tension of binary liquid systems were measured tensiometer (Kruss K20 Easy Dyne). The experimental data available in the literature also were used to prove the accuracy of the model. The results showed that the proposed model can predict accurately the experimental data in a wide range of concentration. Data of non-aqueous solutions were predicted with high precision as absolute average error of less than 1% was achieved for most of these systems. For aqueous systems with a high degree of non-ideality the deviation from experimental data is higher than other systems (up to 10%). This error occurred because the molecules with strong hydrogen bonds that can form a complex non-ideal mixture, even the use of accurate activity coefficient model could not eliminate completely the error. However, the model predictions are satisfactory and acceptable.

Keywords

Main Subjects


[1] White F., "Fluid Mechanics", 5th Ed., McGraw-Hill Higher Education, (2003).
[2] Reid R.C., Prausnitz J.M., Poling, 5th Ed.,"The Properties of Gases and Liquids", McGraw-Hill,Chemical Engineering Series, (2001).
[3] امانی، حسین؛ تولید بیوسورفکتنت های رامنولیپید به منظور کاربرد در فرایند ازدیاد برداشت نفت، نشریه شیمی و مهندسی شیمی ایران، (1)32: 73 تا 83 (1392).
[4] Connors K.A., Wright J.L., Dependence of Surface Tension on Composition of Binary Aqueous-Organic Solutions,Annual Chemistry, 61: 194–198 (1989).
[5]Vazquez G., Alvarez E., Navaza J.M., Surface Tension of Alcohol + Water from 20 to 50 °C, Journal of Chemical  Engineering Data, 40: 611–614 (1995).
[6]Azizian S., Hemmati M., Surface Tension of Binary Mixtures of Ethanol + Ethylene Glycol from 20 to 50°C,Journal of Chemical  Engineering Data, 48: 662–663 (2003).
[7]Rafati A.A., Ghasemian E., Abdolmaleki M., Surface Properties of Binary Mixtures of Ethylene Glycol with a Series of Aliphatic Alcohols (1-Pentanol, 1-Hexanol, and 1-Heptanol), Journal of Chemical  Engineering Data, 53:1944–1949 (2008).
[8] Tropea C., Yarin, A.L., Foss John F., "Handbook of Experimental Fluid Mechanics", Springer-Verlag, Berlin Heidelberg, (2007).
[9] Li C., Wang W., A Surface Tension Model for Liquid Mixtures Based on NRTL Equation,Chinese Journal of Chemical Engineering, 9(1): 45-50 (2001).
[10] Brocos P., Pineiro A., Amigo A., Gracia-Fadrique J.,A Proposal for the Estimation of Binary Mixture Activity Coefficients from Surface Tension Measurements Throughout the Entire Concentration Range, Fluid Phase Equilibria, 260: 343-353 (2007).
[11] Prausnitz J.M., Lichtenthaler R.N., Edmundo Gomes de Azevedo, "Molecular Thermodynamics of Fluid-Phase Equilibria" 3rd Ed., Prentice-Hall, Inc. New Jersy (2007).
[12] Penas A., Calvo E., Pintos M., Amigo A., Bravo R., Refractive Indices and Surface Tensions of Binary Mixtures of 1,4-Dioxane Plus n-Alkanes at 298.15 K, Journal of Chemical and Engineering Data, 45(4): 70- (2000).