Treatment of Herráez equation correlating viscosity in binary liquid mixtures exhibiting strictly monotonous distribution

Abstract

Recently, Herra´ez et al. proposed a new correlation equation, which introduces a correcting polynomial as an exponential-acting upon the molar fraction of one of mixture components. This equation is found to be widely applicable with more reasonable accuracy in systems exhibiting monotonous distribution than those presenting an extremum. In previous works, we have found that the first adjustable parameter of this equation is a universal exponent (0.5 or 1) for dioxane-water and isobutyric acid-water mixtures characterising the presence of solute-solute or solute-solvent interaction at very high dilution. In this work, we have tested this equation in 48 systems, and we have noted that several data on binary mixtures exhibiting monotonous variation are well represented by the two sides of this equation. We have mathematically justified the four distinct values of the universal exponent classifying the nature of each solute-solvent couple in dilute region.

On the reduced Redlich-Kister excess properties for 1,2-dimethoxyethane with propylene carbonate binary mixtures at temperatures (from 298.15 to 318.15) K.

“…In the present study the excess molar properties and viscosity deviations [1][2][3][4][5][6][7][8] are fitted to the reduced Redlich-Kister (R-K) equation along with its corresponding relative properties and the Herráez 17,18 and Belda correlative equations [19][20][21] . In addition, the reduced R-K function relative to the viscosity Arrhenius activation energy which is equivalent to the apparent molar property gives more information because it is more sensitive than the excess property to interaction 22,23 .…”

A Novel Approach of Partial Derivatives to Estimate the Normal Boiling Temperature via Viscosity Arrhenius Behaviour in N,N-Dimethylformamide + Ethanol Fluid Systems

“…It revealed that the deviations of absolute viscosity determined with the Herráez equation generally lead to reliable results for several studied fluid mixtures showing strictly monotonous variation in dynamic viscosity values with molar fraction, but the model records inferior performance when distribution exhibits an extremum [37,38]. Then, the following expression was proposed:…”

“…Herráez et al [37,38] suggested correlation empirical equation (eqns. 4 or 7) which introduces a correcting polynomial (eqns.…”

“…In our case, we observe a quasi-linear behaviour limited by a very feeble curvature at very diluted region of DMF in EtOH which is characterized by the molar fraction (x1 = 0.059 ≈ 1/17) where there is a change of structure and brings to light more distinct structures [3,43]. We add that for the precedent particular molar fraction the interpretation of the molecular liquid structure can be based on "Neighborhood Model Approach" [6,[28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]60] whereas the beginning introduction of DMF molecules into pure EtOH liquid, preferentially creates the stable cluster (1DMF:16EtOH) where one DMF molecule is surrounded by 16EtOH molecules roughly without notably modification the structure of pure EtOH [49].…”

“…By means of the novel concepts of the universal exponent of Herráez, reduced Redlich-Kister (RK) properties and Belda coefficients [35][36][37][38][39][40][41][42][43], we have launched a perceivable research program to obtain more information about the internal structure of the mixtures of most of the organic solvents that have a high importance in biology as cited in the literature . In view of the data given from the literature and augmented by some interpolation operations for derivations needed, it is extended to examine the viscosity Arrhenius-type behaviour along with a new coefficients nominated as Arrhenius temperature (TA), in ethanol + N,N-dimethylformamide binary fluid mixtures from 303.1 to 323.15 K [28][29][30][31][32][33][34].…”