langmuir hinshelwood mechanism

How is the Rate Equation Derived?

The rate of reaction can be expressed in terms of the surface coverages of the adsorbed species. Assuming that adsorption follows Langmuir isotherm, the rate equation can be written as:
\[ r = \frac{k \theta_A \theta_B}{1 + K_A P_A + K_B P_B} \]
where:
- \( r \) is the rate of reaction
- \( k \) is the rate constant for the surface reaction
- \( \theta_A \) and \( \theta_B \) are the surface coverages of reactants A and B
- \( K_A \) and \( K_B \) are the adsorption equilibrium constants for A and B
- \( P_A \) and \( P_B \) are the partial pressures of A and B

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