Equation Derivation
The Langmuir equation is derived starting from the equilibrium between empty surface sites, particles and filled particle sites
The equilibrium constant is thus given by the equation:
Because the number of filled surface sites is proportional to θ, the number of unfilled sites is proportional to 1-θ, and the number of particles is proportional to the gas pressure or concentration (p), the equation can be rewritten as:
where is a constant.
Rearranging this as follows:
leads to Langmuir equation:
Other equations relating to adsorption exist, such as the Temkin equation or the Freundlich equation. The Langmuir equation (as a relationship between the concentration of a compound adsorbing to binding sites and the fractional occupancy of the binding sites) is equivalent to the Hill equation (biochemistry).
Read more about this topic: Langmuir Equation
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