Chemical Reaction Engineering
The rate expression for a heterogenous catalytic reaction is given by, - rA = K.KA PA(1 + KA.PA + Kr.PR), where K is surface reaction rate constant and KA and KR are absorption equilibrium constants of A and R respectively. If KR PR >> (1 + KA PA), the apparent activation energy EA is equal to (given E is the activation energy for the reaction and ΔHR and ΔHA are the activation energies of adsorption of R and A)

E
ΔHA + ΔHR
E + ΔHA
E + ΔHA - ΔHR

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Chemical Reaction Engineering
In Langmuir treatment of adsorption,

Whole surface of the catalyst does not have the same activity for adsorption and there is attraction between the adsorbed molecule
All the adsorption does not take place by the same mechanism
Extent of adsorption is more than one complete monomolecular layer on the surface
Whole surface of the catalyst is essentially uniform and the adsorbed molecule has no effect on the rate of adsorption per site

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