10.2
The slowest step, which controls the net reaction rate, is the rate-determining step, or RDS. It is used to verify the rate law for the overall chemical reaction and validate a proposed reaction mechanism.
The RDS approximation, or equilibrium approximation, can be understood by assuming a reversible three-step unimolecular reaction with rapid equilibrium before and after the slowest step.
Here, assume that step two is the RDS. In this step, the rate constant k−1 must be greater than k2. This means B reforms A faster than it proceeds forward. As a result, an equilibrium is maintained between A and B.
Also, the rate constant k3 must be much greater than k2 and k−2 to ensure that step two is the bottleneck in the reaction.
Under these conditions, the overall rate law can be expressed using the reactants and stoichiometry of the RDS.
Even if k2 is numerically larger, step two can still be slow and rate-determining, keeping step one nearly in equilibrium. The logic mirrors the forward reaction, but in reverse, and the RDS is the reverse of the forward RDS.
The rate-determining step, or RDS, in a chemical reaction is the slowest step that determines the overall reaction rate. It is identified by using the…
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