Discussion of the theoretical isotherms describing adsorption from multicomponent liquid mixtures on heterogeneous solids of quasi-Gaussian energy distribution

Study of Adsorption Equilibria in the Systems Ternary Liquid Mixtures–Modified Activated Carbons

“…Solving the set of equations [4] one can obtain the isotherm equation of Langmuir-Freundlich (LF) type Analysis of the heterogeneity parameters characterizing adsorption systems described by Eq. [5] shows that they are similar and close to unity; however, their related energies are noncorrelated (25).…”

Adsorption from Ternary Liquid Mixtures on Partially Dehydroxylated Silica Gel

“…In the case of binary systems the calculations leads to t Å 3 Ϭ 4 for n-heptane solutions and t à 1 in the case of benzene solutions (taking into account in Eq. [9] the area of the preferentially adsorbed component, i.e., acetone). It should be noted that values of t represent mean numbers of statistical layers.…”

“…On the other hand, comparing the a s eq values from Eq. [9] and a s BET for the same systems it is possible to obtain the thickness of the surface phase t Å a s eq /a s BET . The values of t for investigated binary and ternary mixtures are collected in column IV of Table 2.…”

“…Next, the linear form of the BET equation taking the cross-secthis theory was extended to adsorption onto heterogeneous tional area of the nitrogen molecule to be 16.2 Å 2 . solid surfaces (8,9). Recently, we have started the investigaHeats of wetting with acetone for silica gel SiO 2 /200 and tions of adsorption from ternary mixtures containing suitable SiO 2 /800 were measured using a flow microcalorimeter 3 selected components (10,11).…”

A new Gaussian adsorption isotherm model: test data is methane-5A zeolite

“…This usage has generally involved the use of typical isotherms with a superimposed Gaussian energy distribution. Examples are the employment of Gaussian energy distributions with Langmuirian (Braeuer et al 1985(Braeuer et al , 1986Jaroniec et al 1987;Ruzic 1994 andNouri andHaghseresht 2002), multilayer (Jaroniec et al 1977;Panczyk and Rudzinski 2002), Fowler-Guggenheim (Morel et al 1982), Jovanovic (Jaroniec and Piotrowska 1986), pore filling (Aharoni and Evans (1993), and various isotherms (Castro Luna et al 1977;Garbacz et al 1981;Derylo-Marczewska et al 1987;Choma 1988, andCortes 1991). An alternative use for probability distributions is to describe the micropores in an activated carbon by either Gaussian or gamma distributions (John et al 1985).…”