To evaluate the molecular weight distribution in a reversible case, the author has considered a statistically averaged assemblage of all the possible structures of polymers of the same weight, a "statistical polymer". This is characterized by the following parameters: the number of units on some level (presence), the ability to accept new units (vacancies), and the number of units which have only one bond with the polymer. The polymerization has been considered as a reaction between a vacancy and a monomer, while the destruction has been considered as a decomposition of the bond between the basis polymer and an extreme unit. The final equation for the equilibrium constant contains the total numbers of vacancies and of extreme units.
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
paradoxnonzero adsorption at P → 0is explained as
the result not of chemisorption but of physisorption
processes: more concretely, of the discrete form of the energetic
distribution of micropores.
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