A simple model of mono- and multilayer sorption of gases on a flexible
linear chain of a polymer is investigated. The influence of degenerat
ed conformational degrees of freedom of the polymer linkages on the ad
sorption isotherm GAB (Guggenheim, Anderson, de Boer) is studied. This
description is an extension of the approaches presented in previous p
apers1-3 and involves changes in the internal structure of the polymer
chain during the sorption process. e.g., different conformational sta
tes of linkages between monomers of the linear chain. To describe a co
nformation of the whole chain, the one-dimensional model is used. The
sorbed molecules of gas can be tightly bound to the sorption centers,
or they are in an intermediate adsorption state. The molecules interac
t indirectly through the conformational subsystem of the polymer. This
interaction leads to a cooperative effect in the mono- and multilayer
sorption isotherm. The proposed isotherm equation for a heterogeneous
solid (polymeric sorbent) is a product of the isotherm equations for
the adsorption of gases on a homogeneous solid surface and on the poly
mer's chain. In the case of a rigid chain of the polymer the proposed
equation reduces to the equation for noncooperative heterogeneous sorp
tion on two kinds of centers having different adsorption energies. The
thermodynamics of the model is studied by the transfer matrix method.
The approach presented can give, for example, a more realistic pictur
e of the mechanism of water and alcohol vapor adsorption on starch and
cellulose. A comparison of experimental results with theoretical calc
ulations of the model is performed for the sorption isotherm of methan
ol on freeze-dried starch gel.