Estimation of excess molar volumes and theoretical viscosities of binary mixtures of benzene + n-alkanes at 298.15 K

Abstract

Excess molar volumes, (V E m ), have been derived from the literature viscosity data for the binary mixtures of benzene with n-hexane, n-octane, n-decane, n-dodecane, ntetradecane, and n-hexadecane as a function of composition at 298.15 K and atmospheric pressure conditions. The V E m values were found to be positive over the entire composition range for all mixtures. Concentration dependence of V E m were fitted with Redlich-Kister polynomial equation to estimate the binary coefficients and standard errors. From density data, the partial molar volumes (V m ), partial molar volumes at infinite dilution (V 0 m ), excess partial molar volumes at infinite dilution (V 0; E m ), and apparent molar volumes (V / ), were calculated over the whole composition range as were the limiting apparent molar volumes at infinite dilution (V 0 / ) and excess apparent molar volumes at infinite dilution (V 0; E / ). Viscosity of the binary mixtures of benzene with n-alkanes were estimated using Kendall-Monroe, Frenkel, Hind et al., Katti-Chaudhri, Grunberg-Nissan, Wilke and Herráez et al. equations. The agreement between experimental and predicted values for all systems was found to be quite reasonable as evidenced from computed standard deviation and average percentage deviation (APD). Wilke relation gives maximum deviations for all the systems in comparison to other methods employed. Other relations give comparatively good results.

Phase Equilibrium and Transport Properties of the Ionic Liquid 1-Ethyl-3-methylimidazolium Bis(trifluoromethylsulfonyl)amide and Compressed Difluoromethane and Pentafluoroethane

“…Nevertheless, it is worth noting that all of the aforementioned systems exhibit higher magnitudes of excess molar volumes than typical organic liquid mixtures. 97,98 Moreover, systems involving 2,2,2trifluoroethanol (TFE) or methanol and imidazolium-based ILs exhibit excess molar volumes that are 10−100X less than those of the HFC/IL systems investigated here. 99,100 In addition, water/IL mixtures typically display much lower magnitudes of excess molar volumes (compared to systems in this study).…”

Physicochemical Characterization of Two Protic Hydroxyethylammonium Carboxylate Ionic Liquids in Water and Their Mixture

“…Kendall and Monroe proposed eq , from which the mixture viscosity is calculated from the cubic-root average of the component viscosities . Frenkel considered Eyring’s model to take into consideration the interaction between components in a nonideal binary mixture, as demonstrated in eq , where η 12 is a constant attributed to the pair interaction and is calculated according to eq . Further approaches we assessed make use of adjustable parameters to account for nonidealities.…”

“…38 Frenkel 39 considered Eyring's model 40 to take into consideration the interaction between components in a nonideal binary mixture, as demonstrated in eq 9, where η 12 is a constant attributed to the pair interaction and is calculated according to eq 10. 41 Further approaches we assessed make use of adjustable parameters to account for nonidealities. Grunber and Nissan 37 correlated the natural logarithm of pure components' viscosities to that from the resulting mixture, including a so-called ″characteristic constant of the system″ (d 12 , eq 11).…”

Viscosity of Ionic Liquids: Theories and Models

“…Frenkel used Eyring’s model to take into consideration the interaction between components in a nonideal binary mixture and proposed the following equation: ln ⁡ η m = x 1 2 ln ⁡ η 1 + x 2 2 ln ⁡ η 2 + 2 x 1 x 2 ln ⁡ η 12 with η 12 = 0.5 η 1 + 0.5 η 2 …”