Density and Temperature Dependencies of Liquid Surface Tension

Document Type : Research Article

Authors

Faculty of Chemistry, Sharif University of Technology, P.O. Box 11365-9516 Tehran, I.R. IRAN

Abstract

In this paper the density and temperature dependencies of surface tension are investigated. Using the Lennard-Jones (12,6), as an effective pair interaction potential, a linear expression is derived for isotherms of g /r2  versus r2 for some normal and ChloroFluoroCarbons (CFCs) fluids, where  is surface tension and r = 1/v is molar density. The linearity behavior of the derived equation is well fitted onto the experimental data of surface tension for monatomic, diatomic, nonpolar, polar, hydrogen-bonded and chlorofluorocarbons. In addition, the temperature dependence  of surface tension for 20 different fluids is examined, in which the contributions of both terms of the average effective pair potential to the g  are determined. For all liquids investigated in this work, surface tension increases with density except for water. The surface tension of water for isotherms within 280-300 K decreases with density, whereas increases within the range of 310-320 K.

Keywords

Main Subjects

References

[1] Miller C.A., Neogi P., Interfacial Phenomena: Equilibrium and Dynamic Effects, Journal of Dispersion Science and Technology, 8, p. 549 (1987).
[2] Yang-Yi Yang, Yi-Min Zhu, Jin-Long Peng, Jin-Can Chen, Pei-Pei Feng, Zhong-Qi Huang, Excess Thermodynamic Functions Derived from Densities and Surface Tensions of (p- or O-Xylene + Ethylene Glycol Dimethyl Ether) between the Temperatures (298.15 and 308.15) K, The Journal of Chemical Thermodynamics, 41, p. 1000 (2009).
[3] Lykema J., Fleer G.J., Kleijn J.M., Leermakers F.A.M., Norde W., Van Vliet T., "Fundamentals of Interface and Colloid Science", Volume III: Liquid-Fluid Interfaces, Academic Press (2000).
[4] Rolo L.I., Caço A.I., Queimada A.J., Marrucho I.M., Coutinho J.A.P., Surface Tension of Heptane, Decane, Hexadecane, Eicosane, and Some of Their Binary Mixtures, Journal of Chemical & Engineering Data, 47, p. 1442 (2002).
[5] Heike Kahl, Tino Wadewitz and Jochen Winkelmann, Surface Tension and Interfacial Tension of Binary Organic Liquid Mixtures, Journal of Chemical & Engineering Data, 48, p. 1500 (2003)7.
[6] Luis Felipe Ramírez-Verduzco, Ascención Romero-Martínez, Arturo Trejo, Prediction of the Surface Tension, Surface Concentration, and the Relative Gibbs Adsorption Isotherm of Binary Liquid Systems, Fluid Phase Equilibria, 246, p. 119  (2006).
[7] Daubert T.E., Danner R.P., "Data Compilation Tables of Properties of Pure Compounds", AIChE/DIPPR, New York(1984).
[8] Jasper J.J., The Surface Tension of Pure Liquid Compounds, Journal of Physical and Chemical Reference Data, 1, p. 841 (1972).
[9] Reid R.R., Prausnitz J.M., Poling B.E., "The Properties of Gases and Liquids",McGraw-Hill,New York, (1988).
[10] ButlerJ.A.V., The Thermodynamics of the Surfaces of Solutions, Philosophical Transactions of the Royal Society A, 135, p. 348 (1932).
[11] Kurt A.G. Schmidt, Georgios K. Folas, Bjørn Kvamme, Calculation of the Interfacial Tension of the Methane-Water System with the Linear Gradient Theory, Fluid Phase Equilibria, 261, p. 230
(2007).
[12] Soren Toxvaerd, Surface Structure of a Square‐Well Fluid, Journal of Chemical Physics, 57, p. 4092 (1972).
[13] Ted Davis H., Statistical Mechanics of Interfacial Properties of Polyatomic Fluids. I. Surface Tension, Journal of Chemical Physics, 62, p. 3412 (1975).
[14] Canongia Lopes J.N.,. Jancsó G, Analysis of Structural Properties in Isotopic Mixtures: Molecular Dynamics Methods and Kirkwood-Buff Integrals, Journal of Molecular Liquids, 112, p. 147 (2004).
[15] Eberhart J.G., The Surface Tension of Binary Liquid Mixtures, The Journal of Chemical Physics, 70,
p. 1183 (1966).
[16] Sprow F.B., Prausnitz J.M., Surface Thermodynamics of Liquid Mixtures, The Canadian Journal of Chemical Engineering, 45, p. 25 (1967).
[17] Fu Jufu, Li Buqiang, Wang Zihao, Estimation of Fluid-Fluid Interfacial Tensions of Multicomponent Mixtures, Chemical Engineering Science, 41, p. 2673 (1986).
[18] Jospeh J. Jasper, Judith C. Duncan, Temperature-Interfacial Tension Studies of Some 1-Alkenes Against Water, Journal of Chemical and Engineering Data, 12, p. 257 (1967).
[19] Farzi N., Safari R., Kermanpour F., Application of LIR in Prediction of Surface Tension and Its Temperature Coefficient of Liquid Alkali Metals, Journal of Molecular Liquids, 137, p. 159 (2008).
[20] Jonathan G. Huddleston, Ann E. Visser, W. Matthew Reichert, Heather D. Willauer, Grant A. Broker and Robin D. Rogers, Characterization and Comparison of Hydrophilic and Hydrophobic Room Temperature Ionic Liquids Incorporating the Imidazolium Cation, Green Chemistery, 3, p. 156 (2001).
[21] Jia-Zhen  Yang,  Xing-Mei  Lu,  Jin-Song  Gui, Wei-Guo Xu, A New Theory for Ionic Liquids-the Interstice Model Part 1. The Density and Surface Tension of Ionic Liquid EMISE, Green Chemistery, 6, p. 541  (2004).
[22] V. Halka, R. Tsekov and W. Freyland, Peculiarity of the liquid/Vapour Interface of an Ionic Liquid: Study of Surface Tension and Viscoelasticity of Liquid BMImPF6 at Various Temperatures, Physical Chemistry Chemical Physics, 7, p. 2038 (2005).
[23] Ghatee M.H., Zare M., Zolghadr A.R., Moosavi F., Temperature Dependence of Viscosity and Relation with the Surface Tension of Ionic Liquid, Fluid Phase Equilibria, 291, p. 188  (2010).
[24] Law G., R. Watson P., Surface Tension Measurements of N-Alkylimidazolim Ionic Liquids, Langmuir, 17, p. 6138 (2001).
[25] Shu-Liang Zang, Qing-Guo Zhang, Ming Huang, Bin Wang, Jia-Zhen Yang, Studies on the Properties of Ionic Liquid EMIInCl4, Fluid Phase Equilibria, 230, p. 192 (2005).
[26] Qing-Guo Zhang, Jia-Zhen Yang, Xing-Mei Lu, Jin-Song Gui, Ming Huang, Studies on Ionic Liquid Based on FeCl3 and its Properties, Fluid Phase Equilibria, 226, p. 207 (2004).
[27] Wandschneider A., Lehmann J.K., Heintz A., Surface Tension and Density of Pure Ionic Liquids and Some Binary Mixtures with 1-Propanol and 1-Butanol, Journal of Chemical and Engineering Data, 53, p. 596 (2008).
[28] Carrera G.V.S.M., Afonso C.A.M., Branco L.C., Interfacial Properties, Densities, and Contact Angles of Task Specific Ionic Liquids, Journal of Chemical and Engineering Data, 55, p. 609 (2010).
[29] Luis P. N. Rebelo, José N. Canongia Lopes, José M. S.S. Esperança, and Eduardo Filipe, On the Critical Temperature, NormalBoiling Point, and Vapor Pressure of Ionic Liquids, The Journal of Physical Chemistry B, 109, p. 6040  (2005).
[30] Parsafar G.A., Mason E.A., Linear Isotherms for Dense Fluids: A New Regularity, The Journal of Physical Chemistry, 97, p. 9048 (1993).
[31] Nanda K.K., Bulk Cohesive Energy and Surface Tension from the Size-Dependent Evaporation Study of Nanoparticles, Applied Physics Letter, 87, p. 021909 (2005).
[32] Parsafar G.A., Kermanpour F., Najafi B., Prediction of the Temperature and Density Dependencies of the Parameters of the Average Effective Pair Potential Using Only the LIR Equation of State, The Journal of Physical Chemistry B, 103, p. 7287  (1999).
[33] MarshallA.L., The Photochemical Formation of Hydrogen Peroxide, Journal of the American Chemical Society, 54, p. 4460 (1932).
[34] http://www.nist.com
[35] Parsafar G.A., Spohr H.V., Patey G.N.,An Accurate Equation of State for Fluids and Solids, The Journal of Physical Chemistry B, 113, p. 11977  (2009).
[36] Parsafar G.A., Kalantar Z., Extension of Linear Isotherm Regularity to Long Chain Alkanes, Iranian Journal of Chemistry & Chemical Engineering, 22, p. 1 (2003).
[37] Ghatee M.H., Bahadori M., New Thermodynamic Regularity for Cesium over the Whole Liquid Range, The Journal of Physical Chemistry B, 105, p. 1125 (2001).
[38] Alavi S., Application of the Linear Isotherm Regularity to Selected Fluid Systems, International Journal of Thermophysics, 18, p. 1035 (1997).

Files

Share

How to cite

Statistics