Introduction to Infinite Dilution

The infinite dilution apparent molar volumes, Vϕ/m3·mol−1, and limiting apparent molar expansibility, E Φ 0 / c m 3 · m o l - 1 · K - 1 , have been obtained and discussed from the RRM equation and polynomial equation.

From the measured density, some derived properties like apparent molar volume at infinite dilution, transfer volume, hydration number and apparent molar expansibility at infinite dilution of amino acid/glycyl dipeptide in [C8C1Pyrr]Br solutions were determined.

Many studies were devoted in our Laboratory to the determination of physico-chemical and thermodynamic properties of polymers and/or oxides by using the inverse gas chromatography (IGC) at infinite dilution.

2 K) was investigated by inverse gas chromatography at infinite dilution (IGC-ID).

Partial molar volumes for 15 alkali halide solutes are calculated from the slope of solution density (g/L) versus the solution molarity (mol/L) at the infinite dilution limit.

Finally, the solubilities of NH3 were fitted to the Krichevsky−Kasarnovsky equation to calculate the Henry's constants and partial molar volumes at infinite dilution of NH3 in DESs, as well as the enthalpy changes, Gibbs free energy changes and entropy changes for NH3 absorption process.

These results have been used to calculate the excess molar volumes, partial molar volumes, apparent molar volumes and partial molar volumes at infinite dilution.

The excess molar volume, VmE\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{V}}_{\text{m}}^{\text{E}}$$\end{document}, was calculated using the experimental data, from which a Redlich–Kister type polynomial was fit, enabling the determination of the partial molar volumes, the excess partial molar volumes, the apparent molar volumes and the excess partial molar volumes at infinite dilution.

0199 mol kg−1 range of concentrations and its limiting apparent molar volumes at infinite dilution (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$V_{{\varphi ,{\text{SDS}}}}^{^\circ }$$\end{document}) in solutions containing the amino acid (at a fixed concentration of 0.

Infinite dilution limiting apparent molar volume (Vϕ0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$V_{\phi }^{0}$$\end{document}) and limiting apparent molar isentropic compression (Kϕ,S0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$K_{\phi ,S}^{0}$$\end{document}) parameters and their variation tendencies were considered in terms of the interactions between solute and solvent.

The excess partial molar volumes, V ¯ m,1 E and V ¯ m,2 E and excess partial molar isentropic compressibility, K ¯ s,m,1 E and K ¯ s,m,2 E , excess partial molar volumes, V ¯ m , 1 ° E and V ¯ m , 2 ° E and excess partial molar isentropic compressibility, K ¯ s , m , 1 ° E and K ¯ s , m , 2 ° E of the components at infinite dilution also been measured.

The excess partial molar volumes, V ¯ m , 1 E and V ¯ m,2 E ; excess partial molar isentropic compressibilities, K ¯ s,m,1 E and K ¯ s,m,2 E ; excess partial molar volumes, V ¯ m , 1 ° E and V ¯ m , 2 ° E ; excess partial molar isentropic compressibilities, K ¯ s , m , 1 ° E and K ¯ s , m , 2 ° E of the components at infinite dilution also been measured.

The partial molar isentropic compressions, K ¯ s,m,1 and K ¯ s,m,2 , and excess partial molar isentropic compressions, K ¯ s,m,1 E and K ¯ s,m,2 E over the whole composition range, partial molar isentropic compressions, K ¯ s,m,1 ° and K ¯ s,m,2 ° , and excess partial molar isentropic compressions, K ¯ s,m,1 ° E and K ¯ s,m,2 ° E of the components at infinite dilution have also been calculated.

At infinite dilution, CO2 solubility dependence upon temperature in each DES was examined by means of Henry’s Law constants.

At infinite dilution the derived total effective solvation numbers, Zt, extrapolate to ∼8 − 9 DMSO per ethaline, ∼16 per glyceline and ∼7 − 8 per reline unit but numbers decrease rapidly with rising DES mole fraction.

Based on the COSMO-SAC model, the infinite dilution activity coefficients of the components were calculated, and the potential extractant was further determined.

The objective of this study was to develop a robust prediction model for the infinite dilution activity coefficients (γ∞) of organic molecules in diverse ionic liquid (IL) solvents.

The infinite dilution apparent molar volumes, Vϕ/m3·mol−1, and limiting apparent molar expansibility, E Φ 0 / c m 3 · m o l - 1 · K - 1 , have been obtained and discussed from the RRM equation and polynomial equation.

The infinite dilution apparent molar volume, V 2 , φ 0 , transfer volume, Δ t V 0 , hydration number, nH and infinite dilution apparent molar expansibility, E φ 0 of amino acids in aqueous [Dom][Sal] solution were derived from the measured density data.

The infinite dilution solution enthalpies of chloroform in diethyl ether, diglyme, 1,4-dioxane, tetrahydrofuran, 12-crown-4 and 15-crown-5 were measured at 298.

The infinite dilution solution enthalpies of ethers in cyclohexane, carbon tetrachloride, benzene, ethyl acetate, N,N-dimethylformamide, dimethylsulfoxide, acetone, pyridine, chloroform and methanol were measured at 298.

Here, we discuss the ability of a full polarizable hybrid approach coupled to a standard molecular dynamics scheme to model the behavior in the aqueous phase and at infinite dilution conditions of a standard hydrophobic polyelectrolyte polymer whose charge is neutralized by explicit counterions.

The top 20 MOF membranes that exceed the polymeric membranes’ upper bound for H2/N2 separation were identified based on the results of initial screening performed at infinite dilution condition.

To gain further insight the derived parameters such as apparent molar volumes V ϕ , apparent molar isentropic compressibilities K s ϕ , and their infinite parameters mainly limiting apparent molar volumes at infinite dilution V ϕ o , limiting apparent molar expansibilities E ϕ o , limiting isentropic compression K ϕ o , molar refraction R m and infinite molar conductance m o values have been calculated.

Apparent molar volumes Vφ,m and partial molar volumes at infinite dilution V∞ were calculated from the experimental results.

The excess partial molar volumes, V ¯ m,1 E and V ¯ m,2 E and excess partial molar isentropic compressibility, K ¯ s,m,1 E and K ¯ s,m,2 E , excess partial molar volumes, V ¯ m , 1 ° E and V ¯ m , 2 ° E and excess partial molar isentropic compressibility, K ¯ s , m , 1 ° E and K ¯ s , m , 2 ° E of the components at infinite dilution also been measured.

The excess partial molar volumes, V ¯ m , 1 E and V ¯ m,2 E ; excess partial molar isentropic compressibilities, K ¯ s,m,1 E and K ¯ s,m,2 E ; excess partial molar volumes, V ¯ m , 1 ° E and V ¯ m , 2 ° E ; excess partial molar isentropic compressibilities, K ¯ s , m , 1 ° E and K ¯ s , m , 2 ° E of the components at infinite dilution also been measured.

To quantify the film saturation dynamics and model the absorption of BTEX analyte molecules into the bulk of the sensing film, a diffusion study was performed in which the frequency–time curve obtained via QCM was correlated with gas-phase analyte composition and the infinite dilution partition coefficients of each constituent.

Infinite dilution partition coefficients, Kp,0, of a series of unbranched perfluoralkylacids, PFAAs with 3 to 8 CF2 units between water and commercially available weak anion exchange (WAX) and strong anion.