Density, Speed of Sound, and Refractive Index Measurements for the Binary Mixture (1, 4-Dioxane + Isobutyric Acid) at T = (295.15, 298.15, 301.15, 304.15, 307.15, 310.15, and 313.15) K

Abstract

Density, Speed of Sound, and Refractive Index Measurements for the Binary Mixture (1, 4-Dioxane + Isobutyric Acid) at T = (295.15, 298.15, 301.15, 304.15, 307.15, 310.15, and 313.15) K ABSTRACT: Density, speed of sound, and refractive index for the binary mixture (1,4-dioxane (1) + isobutyric acid (2)) were measured over the whole composition range at temperatures T = (295. 15, 298.15, 301.15, 304.15, 307.15, 310.15, and 313.15) K and at the atmospheric pressure. From the experimental data, excess molar volume V E , excess isentropic compressibility κ S E , excess speed of sound c E , excess refractive index n E , molar refraction R, and deviation in molar refraction ΔR were calculated. These results have been fitted to the Redlich−Kister polynomial equation. The excess molar volume, excess isentropic compressibility, and deviation in molar refraction were found to be negative, whereas excess speed of sound and excess refractive index were found to be positive for all temperatures. The thermodynamic properties have been discussed in terms of nature of molecular interactions between the components of the mixture.a Standard uncertainties (u) are u(ρ) = 0.00005 g.cm −3 , u(n) = 0.0001, u(c) = 0.2 m.s −1 , u(T) =0.01 K and u(p) = 0.05 kPa.

Study of Density, Surface Tension, and Refractive Index of Binary Mixtures Containing Alkyl Levulinate and n-Alcohol from 298.15 to 323.15 K

“…The values of V m E are negative over the entire range of compositions, which decreases at first until reaches the lowest point, then increases as the molar fraction increases. It is implied that the chemical and structural interactions contributed to the negative value of excess molar volumes, while the physical interactions contributed to the positive value. ,, The negative value of excess molar volumes can be explained by the existence of chemical interaction such as hydrogen bonding between unlike molecules of mixture that makes the contraction of solution volume. , Besides, the negative value rises from the structural factor include geometrical interstitial accommodation of molecules in each other’s structure due to the differences in the size and shape of the molecules in the mixture. , In contrast, the positive value of excess molar volumes caused mainly by dispersion forces such as dipole–dipole or dipole-induced dipole interaction between the mixing components. , …”

“…31,47 In contrast, the positive value of excess molar volumes caused mainly by dispersion forces such as dipole−dipole or dipole-induced dipole interaction between the mixing components. 51,52 The Vm E value is negative over the entire composition range for ML−M, EL−E, and BL−B mixtures, with a minimum at nearly equimolecular composition. The negative excess volume is due to stronger intermolecular interactions in the mixture compared to pure components.…”

“…15,34,51 The negative value of excess molar volumes can be explained by the existence of chemical interaction such as hydrogen bonding between unlike molecules of mixture that makes the contraction of solution volume. 31,52 Besides, the negative value rises from the structural factor include geometrical interstitial accommodation of molecules in each other's structure due to the differences in the size and shape of the molecules in the mixture. 31,47 In contrast, the positive value of excess molar volumes caused mainly by dispersion forces such as dipole−dipole or dipole-induced dipole interaction between the mixing components.…”

“…Studies reported the ΔR of binary mixtures based on volume fraction 14,15,31,[46][47][48]62,68,69 and mole fraction basis. 9,52,65,70 It is implied that there is no general rule that states how to interpret molar refractivity function. 68,69 In addition, as reported by Konti et al, the deviation in molar refractivity with volume fraction is based on the Lorentz−Lorentz mixing rules.…”

“…66,68 The molar refraction deviation (ΔR) of the binary mixtures (Table 11) is calculated using eq 8 with the incorporation of individual pure molar volume and the corresponding mole fraction. 52,65…”