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Langmuir Kinetics

A mathematical model describing the rate of an elementary reaction based on the concentration of reactants, often used in catalysis studies.

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The statement of the theorem

For a surface reaction

A \rightarrow Products

catalyzed by a surface

S

, the rate

r

is modeled based on the fractional coverage

\theta

of active sites:

r = k_{max} \theta [A]

where

\theta

is the surface coverage, defined by the Langmuir isotherm for adsorption:

\theta = \frac{K_A [A]}{1 + K_A [A]}

and

K_A

is the adsorption equilibrium constant.

Source: Wikipedia