Concept of the Bottleneck: In a multistep mechanism, the slowest elementary step is designated as the rate-limiting step, and it dictates the overall speed of the reaction.
Activation Energy Correlation: The rate-limiting step is characterized by having the highest activation energy relative to the energy of the species immediately preceding it.
Rate Law Determination: The overall rate law for a reaction is essentially the rate law of the rate-limiting step, including any steps that occur before it.
Experimental Validation: A proposed mechanism is only considered valid if the rate law derived from its rate-limiting step matches the experimentally observed rate law.
The Intermediate Problem: If the rate-limiting step is not the first step, its rate law may contain an intermediate, which cannot be part of the final experimental rate law expression.
Equilibrium Assumption: We assume that the fast steps preceding the rate-limiting step reach a state of dynamic equilibrium where the rate of the forward reaction equals the rate of the reverse reaction.
Substitution Technique: By setting the forward and reverse rates of the initial fast step equal, we can solve for the concentration of the intermediate in terms of the original reactants.
Final Derivation: Substituting this expression back into the rate-limiting step's rate law yields a final rate law expressed solely in terms of measurable reactant concentrations.
| Feature | Intermediate | Transition State |
|---|---|---|
| Energy Level | Local minimum (trough) | Local maximum (peak) |
| Stability | Relatively stable/detectable | Highly unstable/transient |
| Bonds | Partially formed/broken | In the process of breaking/forming |
Summation Check: Always verify that the sum of your proposed elementary steps exactly matches the stoichiometry of the overall balanced chemical equation.
Identify the RLS on Graphs: On an energy profile, look for the step with the largest energy gap between the starting point of that step and its peak, not necessarily the highest absolute peak.
Intermediate Elimination: If your derived rate law contains a species not found in the overall equation, you must use the pre-equilibrium approximation to eliminate it.
Reasonability Test: Be skeptical of any mechanism containing a termolecular step; if an exam asks you to evaluate a mechanism, this is a common reason to reject it.