Modeling the Transport and Volumetric Properties of Solutions Containing Polymer and Electrolyte with New Model

Document Type : Research Article

Authors

1 Department of Chemical Engineering, East Azarbaijan Science and Research Branch, Islamic Azad University, Tabriz, I.R. IRAN

2 Department of Chemistry, Tabriz Branch, Islamic Azad University, Tabriz, I.R. IRAN

Abstract

A new theoretical model based on the local composition concept (TNRF-mNRTL model) was proposed to express the short-range contribution of the excess Gibbs energy for the solutions containing polymer and electrolyte. This contribution of interaction along with the long-range contribution of interaction (Pitzer-Debye-Hückel equation), configurational entropy of mixing (Flory-Huggins relation) and Eyring absolute rate theory were used to fit the viscosity values of ternary aqueous solutions of polymer + electrolyte with considering temperature dependency. The local composition models which are available for correlating the thermodynamic properties of ternary polymer + electrolyte solutions (ternary-Wilson, ternary-modified NRTL, and ternary-modified Wilson) with Eyring absolute rate theory were also used for fitting the viscosity values of ternary solutions for the first time. THe fitting quality of Eyring-TNRF-mNRTL model was compared with these models. The equations of apparent molar volume were also derived from TNRF-mNRTL, ternary-Wilson, ternary-modified NRTL, and ternary-modified Wilson models. These equations were used for correlating the apparent molar volume and density values of ternary polymer + electrolyte solutions.

Keywords

Main Subjects

References

[1] Albertsson P.A., Partition of Proteins in Liquid Polymer-Polymer Two-Phase Systems, Nature 182: 709–711 (1958).
[2] Rogers R.D., Zhang J., New Technology for ion Separations Polyethylene Glycol Based-Qqueous Biphasic System and Qqueous Biphasic Extraction Chromatography. In: Marinsky, J.A., Marcus, Y. (Eds.), “Ion Exchange and Solvent Extraction”,
Vol. 13. Marcel Dekker, New York, pp.141–193 (Chapter 4) (1997).
[3] Willauer H.D., Huddleston J.G., Rogers R.D., Solute Partitioning in Aqueous Biphasic Systems Composed of Polyethylene Glycol and Salt:  The Partitioning of Small Neutral Organic Species, Ind. Eng. Chem. Res. 41: 1892–1904 (2002).
[4] Albertsson P.-A., Johansson G., Tjerneld F. “Separation Processes in Biotechnology”, Marcel Dekker, New York, (1990).
[5] Jimenez Y. P., Taboada M. E., Graber T. A., Galleguillos H. R., Measurement and Modeling of Density and Viscosity of the NaClO4+ H2O+ Poly (Ethylene Glycol) System at Various Temperatures, Fluid Phase Equilibria 334: 22– 29 (2012).
[6] Sadeghi R., Jamehbozorg B., Volumetric and Viscosity Studies of Interactions between Sodium Phosphate Salts and Poly(propylene glycol) 400 in Aqueous Solutions at Different Temperatures, Fluid Phase Equilibria 284: 86–981 (2009).
[7] Zafarani-Moattar M. T., Salabat A., Measurement and Correlation of Viscosities, Densities, and Water Activities for the System Poly(propylene glycol) + MgSO4 + H2O at 25°C, J. Solution Chem., 27: 663-673 (1998).
[8] Ahmad Kalayeh S., Ghotbi C., Taghikhani V., Correlation of Viscosity of Aqueous Solutions of Alkanolamine Mixtures Based on the Eyring's Theory and Wong-Sandler Mixing Rule, Iran. J. Chem. Chem. Eng. (IJCCE), 32(2): 9-17 (2013).
[9] Sadeghi R., Golabiazar R., Ziaii M., Vapor-Liquid Equilibria, Density, Speed of Sound, and Refractive Index of Sodium Tungstate in Water and in Aqueous Solutions of Poly(ethyleneglycol) 6000, J. Chem. Eng. Data 55, 125–133 (2010).
[10] Chen C.C., Britt H.I., Boston J.F., Evans L.B., Local Composition Model for Excess Gibbs Energy of Electrolyte Systems. Part I: Single Solvent, Single Completely Dissociated Electrolyte Systems, AIChE J. 28: 588-596 (1982).
[11] Flory P.J., Thermodynamics of High Polymer Solutions, J. Chem. Phys. 9: 660–661 (1941).
[12] Pitzer K.S., Activity Coefficients in Electrolyte Solutions, J. Am. Chem. Soc., 102: 2902-2906 (1980).
[13] Glasstone S., Laidler K. J., Eyring H. “The Theory of Rate Process”, McGraw-Hill: New York: (1941).
[14] Sadeghi R., modified Wilson Model for the Calculation of Vapour + Liquid Equilibrium of Aqueous Polymer + Salt Solutions, J. Chem. Thermodyn., 37: 323–329 (2005).
[15] Sadeghi R., A Modified Segment-Based Nonrandom Two-Liquid Model for the Calculation of Vapor–Liquid Equilibrium of Aqueous Polymer–Salt Solutions, Chem. Eng. Sci., 61: 7786–7794 (2006).
[16] Sadeghi R. Representation of Vapor–Liquid Equilibria of Aqueous Polymer–Salt Solutions by a New Modified Segment-Based Wilson Model, CALPHAD 31: 164–172 (2007).
[17] Chen C.C., A Segment-Based Local Composition Model for the Gibbs Energy of Polymer Solutions,Fluid Phase Equilib. 83: 301-312 (1993).
[18] Haghtalab A., Vera J. H., A Nonrandom Factor Model for the Excess Gibbs Energy of Electrolyte Solutions, AIChE J., 34: 803-813 (1988).
[19] Zafarani-Moattar M. T., Majdan-Cegincara R. New Local Composition Model for Modeling of Thermodynamic and Transport Properties of Binary Aqueous Electrolyte Solutions, CALPHAD, 35: 109–132 (2011).
[20] Zafarani-Moattar M. T., Majdan-Cegincara R., New Excess Gibbs Energy Equation for Modeling the Thermodynamic and Transport Properties of Polymer Solutions and Nanofluids at Different Temperatures, Ind. Eng. Chem. Res., 50: 8245-8262 (2011).
[21] Mohammadian-Abriz A., Majdan-Cegincara R., Modeling the Thermodynamic Properties of Solutions Containing Polymer and Electrolyte with New Local Composition Model, Phy. Chem. Res., 5: 505-518 (2017)
[22] Esteves M.J.C., Cardoso M.J.E. de M., Barcia O.E.,A Debye-Hückel Model for Calculating the Viscosity of Binary Strong Electrolyte Solutions, Ind. Eng. Chem. Res., 40: 5021-5028 (2001).
[23] Novak L.T., Chen C.C., Song Y., Segment-Based Eyring-NRTL Viscosity Model for Mixtures Containing Polymers, Ind. Eng. Chem. Res., 43B 6231-6237 (2004).
[24] Martins R.J., M. J. E. de M. Cardoso, Barcia O.E., Excess Gibbs Free Energy Model for Calculating the Viscosity of Binary Liquid Mixtures, Ind. Eng. Chem. Res., 39: 849-854 (2000).
[25] Simonson J. M., Pitzer K. S. Thermodynamics of Multicomponent, Miscible Ionic Systems: the System Lithium Nitrate-Potassium Nitrate-Water, J. Phys. Chem., 90: 3009-3013 (1986).
[26] Sardroodi J. J., Zafarani-Moattar M. T., Apparent Molal Volumes of the Solutions of CaCl2 and Ca(NO3)2 in Ethanol at 298.15: Experimental Data and Correlation by Local Composition Models, Fluid Phase Equilibria, 231: 61–66 (2005).
[27] Anathaswamy J., Atkinson G. Thermodynamics of Concentrated Electrolyte Mixtures. 4. Pitzer-Debye-Hueckel Limiting Slopes for Water from 0 to 100. Degree. C and from 1 atm to 1 kbar, J. Chem. Eng. Data, 29: 81-87 (1984).
[28] Kell G.S., Density, Thermal Expansivity, and Compressibility of Liquid Water from 0.deg. to 150.deg.. Correlations and Tables for Atmospheric Pressure and Saturation Reviewed and Expressed on 1968 Temperature Scale, J. Chem. Eng. Data, 20: 97-105 (1975).
[29] Laliberté M., Model for Calculating the Viscosity of Aqueous Solutions, J. Chem. Eng. Data, 52: 321-335 (2007).
[30] Vidulich G.A., Evans D.F., Kay R.L., The Dielectric Constant of Water and Heavy Water between 0 and 40. Degree, J. Phys. Chem., 71: 656-662 (1967).
[31] Akerlof G.C., Oshry H.I., The Dielectric Constant of Water at High Temperatures and in Equilibrium with its Vapor, J. Am. Chem. Soc., 72: 2844-2847 (1950).
[32] Regupathi I., Govindarajan R., Pandian Amaresh S., Murugesan T., Densities and Viscosities of Polyethylene Glycol 6000 + Triammonium Citrate +Water Systems, J. Chem. Eng. Data, 54: 3291-3295 (2009).
[33] Mei L.-H., Lin D.-Q., Zhu Z.-Q., Han Z.-X., Densities and Viscosities of Polyethylene Glycol + Salt + Water Systems at 20 °C, J. Chem. Eng. Data, 40: 1168-1171 (1995).
[34] Salabat A., Dashti H., Phase Compositions, Viscosities and Densities of systems PPG425+ Na2SO4+H2O and PPG425 + (NH4)2SO4 + H2O at 298.15 K, Fluid Phase Equilib., 216: 153-157 (2004).
Iranian Journal of Chemistry and Chemical Engineering
Volume 37, Issue 4 - Serial Number 90
July and August 2018
Pages 235-252

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