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

Abstract

Excess molar volumes, ( $$V_{\text{m}}^{\text{E}}$$ ), have been derived from the literature viscosity data for the binary mixtures of benzene with n-hexane, n-octane, n-decane, n-dodecane, n-tetradecane, and n-hexadecane as a function of composition at 298.15 K and atmospheric pressure conditions. The $$V_{\text{m}}^{\text{E}}$$ values were found to be positive over the entire composition range for all mixtures. Concentration dependence of $$V_{\text{m}}^{\text{E}}$$ 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 ( $$\overline{V}_{\text{m}}^{ 0}$$ ), excess partial molar volumes at infinite dilution ( $$\overline{V}_{\text{m}}^{{ 0 ,\,{\text{E}}}}$$ ), and apparent molar volumes (V ϕ ), were calculated over the whole composition range as were the limiting apparent molar volumes at infinite dilution ( $$\overline{V}_{\phi }^{ 0}$$ ) and excess apparent molar volumes at infinite dilution ( $$\overline{V}_{\phi}^{{ 0 ,\,{\text{E}}}}$$ ). 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 Herraez 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.