Surface Tension Calculation of Mixed Solvents with Respect to Solvent Composition and Temperature by Using Jouyban-Acree Model

Abstract

Surface and/or interfacial tension is a measurable quantity, which represents the surface and/or interfacial activity and differs from the assumed ideal value when the system becomes non-ideal. Surface tension plays an important role in the functioning of respiratory system. Surface tension of the fluid lining the alveoli is decreased by a mixture of surface active agents mainly, dipalmitoyl lecithin. Respiratory distress syndrome and atelectasis are two major clinical syndromes of increasing the surface tension of the fluid lining the alveoli. 1) Prokop et al. 2) reported the relationships between recoil pressure and surface area of the lung and the surface tension of the lung fluid. Several important phenomena in the pharmaceutical and analytical areas are related to the surface activity. This includes suspension and emulsion formulations, solubilization techniques and explaining the retention mechanisms in HPLC. The primary droplet size of the nebulized solutions was correlated to the surface tension of the solution.3) Binary and ternary solvents have been used in many pharmaceutical formulations and also validated analytical methods at ambient and higher and/or lower temperatures. The surface tension data of mixed solvents are required in practice and the aim of this work is to present a simple mathematical model for calculating such data. Computational MethodsThe basic solution model, i.e. the combined nearly ideal binary solvent/Redlich-Kister equation (CNIBS/R-K), presented by Acree 4) was used to correlate different physico-chemical properties in mixed solvent systems; including the solubility of drugs in water-cosolvent mixtures, 5) electrophoretic mobility of analytes in mixed solvent electrolyte systems, 6-8) the instability rate constants in binary solvent systems, 9) the acid dissociation constants in water-organic solvent mixtures, 10) the dielectric constant 11) and surface tension 12) of solvent mixtures. Theoretical basis of the CNIBS/R-K equation for describing the chemical potential of solutes dissolved in mixed solvents 4) and acid dissociation constants in aqueous-organic mixtures 10) have been provided in earlier papers.The Jouyban-Acree model (JAM) representing the surface tension of binary solvent mixtures at a constant temperature has been proposed in our earlier work 12) as:( 1) Where g m , g 1 and g 2 are the surface tensions of the mixture and solvents 1 and 2, respectively, f 1 and f 2 are the volume (weight or mole) fractions of solvents 1 and 2 in the mixture and K i represent the model constants calculated using a least square method. 13) The model could be extended for calculating the surface tension of ternary solvents as: 12)To correlate the surface tensions of binary solvents at various temperatures (T), an extended form of JAM could be used for calculating the surface tension with respect to solvent composition and temperature, and is proposed in this work as: (3) Where g m,T , g 1,T and g 2,T are the surface tensions of the mixture and solvents 1 and 2 at temperature T, re...

Calculation of the Viscosity of Binary Liquids at Various Temperatures Using Jouyban-Acree Model

“…the Jouyban-Acree model) presented by Acree 13) was used to correlate different physico-chemical properties in mixed solvent systems; including the solubility of drugs in water-cosolvent mixtures, 14) electrophoretic mobility of analytes in mixed solvent electrolyte systems, [15][16][17] the instability rate constants in binary solvent systems, 18) the acid dissociation constants in water-organic solvent mixtures, 19) the dielectric constants of solvent mixtures 20) and the surface tensions of liquid mixtures. 21) Theoretical basis of the Jouyban-Acree model for describing the chemical potential of solutes dissolved in mixed solvents 13) and acid dissociation constants in aqueous-organic mixtures 19) have been provided in earlier papers. The constants of the Jouyban-Acree model represent differences in the various solute-solvent and solvent-solvent interactions in the mixture.…”

“…The other versions of Eq. 8 have been successfully applied for calculation of solute solubilities in mixed solvent at various temperatures, 22) apparent acid dissociation constants of analytes, 23) dielectric constant 20) and also surface tension 24) of liquid mixtures at different temperatures.…”

Viscosity and surface tension of glycerol + N-methyl-2-pyrrolidone mixtures from 293 to 323 K

“…Because of this fact finding an appropriate solvent mixture for a desired amount of PCP requires some measurements or accurate predictions. One of the most accurate equations for calculating the PCPs of solvent mixtures is the Jouyban-Acree model, which is expressed as follows for the correlation of PCPs of the binary solvent mixtures [34][35][36][37]:…”

Experimental and Computational Methods Pertaining to Surface Tension of Pharmaceuticals

“…This model is able to correlate surface tension of binary and ternary mixtures at various temperatures with AAD of 4.1 and 1.4 % respectively (Jouyban et al, 2004a;2004b). This equation can be extended to correlate different physicochemical properties of solvent mixtures; including acid dissociation constant, dielectric constant, and drug solubility in water-cosolvent mixtures (Jouyban et al, 1999;2004a).…”