of Chemical Engineering DENSITY , REFRACTIVE INDEX , APPARENT VOLUMES AND EXCESS MOLAR VOLUMES OF FOUR PROTIC IONIC LIQUIDS + WATER AT T = 298 . 15 AND 323 . 15

Densities and refractive index of binay mixtures of water with four protic ionic liquids, based on ammonium and fatty acids, were measured at 298.15 and 323.15 K, under atmospheric pressure. Apparent and excess molar volumes were obtained by experiments and fitting data to the Redlich-Meyer (RM), RedlichKister (RK) and Prigogine-Flory–Patterson (PFP) equations. The molar volume values were high, suggesting strong ion-solvent interaction. The same interaction also became stronger as the temperature increased. Excess volume values were negative, indicating that packing efficiency ability or attractive interactions occurred in mixtures of ionic liquid + water. The errors (AARD) for the properties in excess were in the range of 1.8% to 7.2%. The PFP error for the apparent volume was in the range of 0.34% to 0.06%, lower than the RM error for the same property, which was in the range of 0.70 to 1.55%. The Gladstone-Dale model was applied to correlate the refractive index of the binary mixture with the density from the values of both pure components. Keyword: Protic ionic liquid; Water; Properties of mixtures.

[1]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[2]  P. Flory,et al.  The Thermodynamic Properties of Mixtures of Small, Nonpolar Molecules , 1965 .

[3]  P. Flory Statistical Thermodynamics of Liquid Mixtures , 1965 .

[4]  M. Iglesias,et al.  New short aliphatic chain ionic liquids: synthesis, physical properties, and catalytic activity in aldol condensations. , 2007, The journal of physical chemistry. B.

[5]  K. A. Kurnia,et al.  Densities and Viscosities of Binary Mixture of the Ionic Liquid Bis(2-hydroxyethyl)ammonium Propionate with Methanol, Ethanol, and 1-Propanol at T = (293.15, 303.15, 313.15, and 323.15) K and at P = 0.1 MPa , 2011 .

[6]  P. Flory,et al.  Statistical Thermodynamics of Chain Molecule Liquids. I. An Equation of State for Normal Paraffin Hydrocarbons , 1964 .

[7]  Necmettin Yildirim,et al.  Parameter estimation of nonlinear models in biochemistry: a comparative study on optimization methods , 2003, Appl. Math. Comput..

[8]  N. Bıçak A new ionic liquid: 2-hydroxy ethylammonium formate , 2005 .

[9]  P. Flory,et al.  Statistical Thermodynamics of Chain Molecule Liquids. II. Liquid Mixtures of Normal Paraffin Hydrocarbons , 1964 .

[10]  P. Flory,et al.  Equation- of-state parameters for normal alkanes. Correlation with chain length , 1967 .

[11]  Suojiang Zhang,et al.  Density, Excess Molar Volume, and Viscosity for the Methyl Methacrylate + 1-Butyl-3-methylimidazolium Hexafluorophosphate Ionic Liquid Binary System at Atmospheric Pressure , 2009 .

[12]  James Kennedy,et al.  Particle swarm optimization , 2002, Proceedings of ICNN'95 - International Conference on Neural Networks.

[13]  U. R. Kapadi,et al.  Viscosities, excess molar volume of binary mixtures of ethanolamine with water at 303.15, 308.15, 313.15 and 318.15 K , 2002 .

[14]  I. Prigogine,et al.  The molecular theory of solutions , 1957 .

[15]  M. Costas,et al.  Volumes of mixing and theP* effect: Part II. Mixtures of alkanes with liquids of different internal pressures , 1982 .

[16]  Martín Aznar,et al.  Synthesis and thermophysical properties of two new protic long-chain ionic liquids with the oleate anion , 2010 .

[17]  A. Borse,et al.  DENSITY, EXCESS MOLAR VOLUME AND APPARENT MOLAR VOLUME OF BINARY LIQUID MIXTURES , 2011 .

[18]  M. Iglesias,et al.  Brønsted ionic liquids: Study of physico-chemical properties and catalytic activity in aldol condensations , 2010 .

[19]  M. Aznar,et al.  Apparent and Partial Molar Volumes at Infinite Dilution and Solid–Liquid Equilibria of Dibenzothiophene + Alkane Systems , 2011 .

[20]  M. Iglesias,et al.  Effect of temperature on mixing thermodynamics of a new ionic liquid: {2-Hydroxy ethylammonium formate (2-HEAF)+short hydroxylic solvents} , 2008 .

[21]  L. M. Varela,et al.  Easy prediction of the refractive index for binary mixtures of ionic liquids with water or ethanol , 2012 .

[22]  I. Prigogine,et al.  Statistical thermodynamics of r-MERS and r-MER solutions , 1953 .

[23]  D. Patterson,et al.  Corresponding states theories and liquid models , 1970 .

[24]  T. Murugesan,et al.  Volumetric Properties and Refractive Indices for Binary Mixtures of 1-Propyronitrile-3-hexylimidazolium Bromide + Ethanol at Temperatures from 293.15 to 323.15 K , 2011, Journal of Solution Chemistry.