Maximum Concentration in a Second-Order Surface Reaction

Question:

A second-order surface reaction involves two gas-phase species A and B, which are adsorbing and desorbing from the surface. For a fixed concentration of B denoted as [B]0 , in the gas phase, it is observed that the overall rate of the reaction has a maximum at a particular concentration of A denoted as [A]max . What is the relationship between [A]max and [B]0 ?

Solution:
The overall rate of this reaction is given by,

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