Chemical KineticsReaction MechanismsContent level: Core 22 min

Elementary Steps and the Rate-Determining Step

What you'll be able to do: Evaluate a proposed mechanism against the overall equation and the experimental rate law using the rate-determining step.

Best after: Rate Laws and Reaction Order from Initial Rates, Collision Theory and Activation Energy

Introduction

Most reactions do not happen in one collision. A mechanism is the sequence of single-collision events that adds up to the overall equation, and the slowest of those events sets the pace for everything.

These are recommended, not required. You can start this lesson at any time.

Learning objectives

  • Write the rate law for an elementary step from its molecularity
  • Add elementary steps to recover the overall equation and identify intermediates
  • Use the rate-determining step to predict the overall rate law
  • Test whether a proposed mechanism is consistent with experimental data

Lesson

What makes a step elementary

An elementary step is a single molecular event with no hidden stages. Because it is exactly what the equation says, its rate law can be written directly from its coefficients. This is the only situation in kinetics where coefficients become exponents.

Coefficients become exponents for an elementary step only, never for an overall equation.

Molecularity

Unimolecular means one particle rearranges or breaks apart, giving rate = k[A]. Bimolecular means two particles collide, giving rate = k[A][B] or k[A]². Termolecular steps require three particles to meet simultaneously and are rare because such a triple collision is very improbable.

Intermediates and catalysts in a mechanism

An intermediate is produced in one step and consumed in a later one, so it cancels when the steps are added and never appears in the overall equation. A catalyst is the reverse: consumed early and regenerated later, so it appears at the start and is returned at the end.

Produced then consumed means intermediate. Consumed then produced means catalyst.

The rate-determining step

If one step is much slower than the others, it acts as a bottleneck. The overall rate cannot exceed the rate of that step, so the experimental rate law matches the rate law of the slow step. When the slow step is first, the prediction is immediate because only reactants appear in it.

Testing a proposed mechanism

Two tests must both pass. First, the steps must sum to the overall balanced equation with intermediates cancelling. Second, the rate law predicted by the rate-determining step must match the experimental rate law. Passing both makes a mechanism plausible, never proven, because another mechanism might make the same predictions.

Key ideas

Definition
Elementary step

A single molecular event whose rate law follows directly from its own coefficients.

Definition
Molecularity

The number of particles taking part in one elementary step.

Definition
Intermediate

A species produced in one step and consumed in a later step; it never appears in the overall equation.

Rule
Slow step governs

When one step is much slower, the overall rate law is that step's rate law.

Assumption
Mechanisms are provisional

Consistency with the data supports a mechanism but cannot prove it uniquely.

Equation
Rate law of an elementary step

aA + bB → products gives rate = k[A][B]

  • a, b = coefficients of the elementary step, valid as exponents only here

Worked examples

Worked example 1

A proposed mechanism is: Step 1 (slow) NO + NO → NO + NO; Step 2 (fast) NO + CO → NO + CO. Find the overall equation, the intermediate, and the predicted rate law.

Try it first: Add the two steps and cross out anything appearing on both sides.

    0 of 4 steps revealed.

    Worked example 2

    A reaction A + 2 B → C is found experimentally to be rate = k[A][B]. Can the overall equation be a single elementary step?

      0 of 3 steps revealed.

      Worked example 3

      Classify each step by molecularity: (i) O → O + O, (ii) O + O2 O.

        0 of 2 steps revealed.

        Common mistakes

        Writing the overall rate law from the overall balanced equation.

        Why it's wrong: Only elementary steps allow coefficients to be used as exponents.

        Check instead: Use the rate-determining step, or experimental data.

        Including an intermediate in the overall equation.

        Why it's wrong: Intermediates cancel because they are produced and then consumed.

        Check instead: Add the steps and cancel species appearing on both sides.

        Assuming the first step is always rate-determining.

        Why it's wrong: Any step can be the slow one; the problem must state or imply which.

        Check instead: Locate the step labelled slow before writing the rate law.

        Treating a matching rate law as proof of a mechanism.

        Why it's wrong: Different mechanisms can predict identical rate laws.

        Check instead: Describe a consistent mechanism as supported rather than proven.

        Practice this skill

        No practice questions are available for this topic yet. You can still practice the whole unit.

        What you should now know

        An elementary step describes what happens in a single molecular event, so for that step alone the rate law can be written from its coefficients. Molecularity counts the reactant particles in the step: unimolecular, bimolecular, and rarely termolecular. Adding all steps must reproduce the overall balanced equation with intermediates cancelling. When the first step is rate-determining, the rate law of that step is the rate law of the reaction, and a mechanism is only acceptable if it matches both the overall equation and the experimentally measured rate law.

        • Elementary steps are the only place coefficients become exponents
        • Molecularity counts the particles in one step
        • Steps must sum to the overall equation with intermediates cancelling
        • The slowest step sets the observed rate law
        • A consistent mechanism is supported, not proven

        Sources and further reading

        • Chemistry 2e, Section 12.6: Reaction Mechanisms
          Paul Flowers, Klaus Theopold, Richard Langley, William R. Robinson · OpenStax, Rice University · Chapter 12.6
          View source

          Chemistry 2e, OpenStax, Rice University, licensed CC BY 4.0. License