Densities and Sound Speeds of Binary Mixtures of Cyclohexane + Benzene (or Toluene, or Ethylbenzene or o-, m-, p-Xylene) within the Temperature Range of 293.15–333.15 K and Ambient Pressure: Experimental, Correlation, and Modeling Study

Abstract

This paper is a combined experimental, correlation, and modeling study of binary mixtures of cyclohexane with benzene and some alkyl-substituted benzenes, namely, toluene, ethylbenzene, o-, m-, and p-xylene. Experimental densities and sound speeds are reported at temperatures from 293.15 to 333.15 K and under local atmospheric pressure. Excess molar volumes, derived from experimental densities, excess isentropic compressibilities, derived from experimental densities, and sound speeds, calculated isobaric cubic expansivities, and literature heat capacities were correlated by Redlich−Kister polynomials and discussed. Further, the experimental densities, sound speeds, and related derived properties, namely, isobaric cubic expansivities and isentropic compressibilities, of the mixtures were correlated with the Jouyban−Acree model. The average absolute deviations of the correlated values from the experimental ones were better than 0.02, 0.06, 0.4, and 0.14% for density, sound speed, isobaric cubic expansivity, and isentropic compressibility, respectively. In addition, the results obtained from applying the perturbed chain statistical associating fluid theory equation of state and Schaff's collision factor theory for modeling densities and sound speeds show the versatility of these models for thermodynamic modeling and prediction in systems of varying complexity.

Densities and Excess Molar Volumes of the Butan-1-ol + Cyclohexane + Benzene Ternary System within the Temperature Range (293.15–333.15) K and under Ambient Pressure

“…The Jouyban-Acree (J-A) model , provides a mathematical model for accurately representing the composition and temperature dependence of various physicochemical properties of mixtures, such as binary alkanol/naphthenic, alkanol/aromatic, , and naphthenic/aromatic mixtures, ,, and ternary alkanol/naphthenic/aromatic mixtures . The Jouyban-Acree model for representing densities of a binary mixture with respect to composition and temperature is ln nobreak0em0.25em⁡ ρ italicij , T = x i 0.25em ln nobreak0em0.25em⁡ ρ i , T + x j 0.25em ln nobreak0em0.25em⁡ ρ j , T + prefix∑ k = 0 2 J k [ x i x j ( x i − x j ) k T ] where ρ ij,T refers to the density values at temperature T of binary pair i – j ( i = 1, 2, 3, and j > i ); ρ i,T and ρ j,T are the densities at temperature T of components i and j , respectively, of each binary pair i – j ; and x i and x j are the mole fractions of components i and j , respectively.…”

“…Using the Jouyban-Acree Model. The Jouyban-Acree (J-A) model 17,18 provides a mathematical model for accurately representing the composition and temperature dependence of various physicochemical properties of mixtures, such as binary alkanol/naphthenic, 4 alkanol/aromatic, 4,17 and naphthenic/aromatic mixtures, 4,42,43 and ternary alkanol/naphthenic/aromatic mixtures. 4 The Jouyban-Acree model for representing densities of a binary mixture with respect to composition and temperature is…”