Derivation of the Equations for Isotherm Curves of Adsorption on Microporous Gel Materials

Abstract

A new method of building isotherm curves for adsorption on silica and alumina gels, using the statistical polymer method, has been proposed. This method considers the chemisorption as the result of a chemical reaction between the adsorbent and the polymeric adsorbate, leading to the change of the weight distribution of multicomponent polymers, that is described directly by the equations of the multicomponent version of the statistical polymer method. The physisorption is considered as the formation of a weak complex between the adsorbent and the adsorbate inside micropores differing in the excess energy, that being described based on the micropores' energy distribution found by the statistical polymer method. The estimated relative square dispersion is in most cases on the level of some percents. A widespread paradoxnonzero adsorption at P → 0is explained as the result not of chemisorption but of physisorption processes: more concretely, of the discrete form of the energetic distribution of micropores.

Simulation of Hardening Processes, in Silicate Systems

“…Classic methods elaborated by Flory for linear macromolecules [6] are not applicable, in most cases, to branched, especially crosslinked structures [7]. Moreover, if systems of branched crosslinked polymers are in non-equilibrium, their description is impossible without combination of special statistical methods [8,9] and non-linear dynamics of chaos [10].…”

“…The problem of modeling of branched cross-linked macromolecules and aggregates was solved recently by the statistical polymer method [8,9].…”

“…For equilibrium, The statistical polymer method can be employed also for the description of multicomponent systems, the relevant equations are derived in [8].…”

Statistical polymer method: Modeling of macromolecules and aggregates with branching and crosslinking, formed in random processes

“…Classic methods elaborated by Flory for linear macromolecules [1] are not applicable, in most cases, to branched, especially crosslinked structures [2]. Moreover, if systems of branched crosslinked polymers are in non-equilibrium, their description is impossible without combination of special statistical methods [3,4] and non-linear dynamics of chaos [5].…”

“…The problem of modeling of branched crosslinked macromolecules and aggregates was solved recently by the statistical polymer method [3,4]. STATISTICAL …”