In
this study, an equilibrium theory solution for a binary system
subject to a specific subclass of generalized bi-Langmuir isotherm
is derived. This solution provides a thorough understanding for the
type of isotherm investigated, which exhibits several interesting
features. Depending on initial and feed compositions, the order of
breakthrough and desorption changes at frontal analysis conditions,
and a changing impact of component 1 (from competitive to cooperative)
on the adsorption behavior of component 2 can be observed at displacement
conditions. Furthermore, the equilibrium theory solution includes
some rare transitions, such as semishock transitions with multiple
shock and wave parts. Due to its interesting behavior, this isotherm
is able to accurately describe an experimental system investigated
in the context of the delta-shock phenomenon. With the aid of the
derived equilibrium theory solution, it was possible to identify several
types of transitions and intermediate states, and to fit isotherm
parameters to experimental elution profiles. The interesting behavior
accounted for by this type of isotherm, and its ability to describe
a specific and peculiar experimental system, which had previously
been misinterpreted, may motivate the future investigation of the
entire class of generalized bi-Langmuir isotherms.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.