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Catalytic Cycle

The series of steps involving a catalyst, where the catalyst is regenerated at the end of the cycle, allowing it to repeatedly accelerate reactions.

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The statement of the theorem

Consider a reaction sequence involving a catalyst

C

A + C \xrightarrow{k_1} B + C

and

B + C \xrightarrow{k_2} Products + C

. The overall rate

R

is determined by the rate-determining step (RDS),

r_{RDS}

, and the catalyst concentration

[C]

must be conserved throughout the cycle. The net rate of product formation is:

R = \min \left( k_1 [A] [C], k_2 [B] [C] \right)

subject to the constraint that the net change in

[C]

over the cycle is zero.