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Derivation of the Langmuir Equation for Ion Exchange Reactions in Soils
Author(s) -
Sposito Garrison
Publication year - 1979
Publication title -
soil science society of america journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.836
H-Index - 168
eISSN - 1435-0661
pISSN - 0361-5995
DOI - 10.2136/sssaj1979.03615995004300010039x
Subject(s) - adsorption , langmuir , monolayer , langmuir adsorption model , langmuir equation , ion , chemistry , ion exchange , thermodynamics , inorganic chemistry , organic chemistry , physics , biochemistry
The form of the Langmuir adsorption isotherm equation that is appropriate for ion exchange reactions is derived rigorously using statistical mechanics. It is shown that, in addition to the usual assumptions of localized, monolayer adsorption and no interactions between adsorbed ions, the restriction that the exchange process be one‐to‐one must be imposed. However, there is no inequality condition on the equilibrium solution concentrations and affinity parameters for the exchanging ions as has been suggested previously by several investigators. The Langmuir equation is valid for all nonzero values of the ion activities and affinity parameters.

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