Chemical KineticsCollision TheoryContent level: Core 20 min

Collision Theory and Activation Energy

What you'll be able to do: Explain reaction rates using collision frequency, orientation and activation energy, and interpret a reaction energy profile.

Best after: Reaction Rates and How They Are Measured

Introduction

Rate laws describe what happens; collision theory explains why. Particles must meet, meet hard enough, and meet the right way round. Every factor that changes a rate acts on one of those three requirements.

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

Learning objectives

  • State the requirements for an effective collision
  • Interpret a reaction energy profile including Ea forward, Ea reverse and ΔH
  • Explain how concentration, temperature, surface area and catalysts change the rate
  • Relate the Maxwell-Boltzmann distribution to the fraction of successful collisions

Lesson

Three requirements for a reaction

Particles must collide, the collision must carry at least the activation energy, and the geometry must allow the correct bonds to form. Most collisions fail on the second or third requirement, which is why reactions are slower than the enormous collision frequency in a liquid or gas would suggest.

The energy profile

Plot energy against reaction progress. The rise from reactants to the peak is the forward activation energy; the fall from the peak to products is the reverse activation energy. Their difference is ΔH, negative for an exothermic reaction and positive for an endothermic one. The species at the peak is the transition state, which cannot be isolated.

ΔH = Ea(forward) - Ea(reverse)

A transition state sits at the top of a barrier. An intermediate sits in a valley between two barriers and can, in principle, be detected.

Temperature and the Boltzmann distribution

At any temperature, molecular energies are spread over a wide distribution. Raising the temperature flattens and broadens the curve, shifting the peak to higher energy, and the area beyond the activation energy grows sharply. That growing tail, not a faster average speed alone, is what makes reactions accelerate so strongly with temperature.

Total area under the distribution is fixed because the number of particles does not change; heating only redistributes the energies.

What each rate factor actually changes

Higher concentration or pressure increases collision frequency. Greater surface area on a solid increases the number of exposed particles available to collide. Higher temperature increases both frequency and, far more importantly, the fraction of collisions with sufficient energy. A catalyst lowers the activation energy so a larger fraction of existing collisions succeeds.

Catalysts do not change thermodynamics

A catalyst provides an alternative pathway with a lower barrier and is regenerated by the end. It lowers the forward and reverse activation energies equally, so it speeds up the approach to equilibrium without shifting the position of equilibrium, and ΔH is unchanged.

Key ideas

Definition
Activation energy

The minimum energy a collision must supply for a reaction to occur.

Definition
Transition state

The highest-energy arrangement along the reaction path, existing only momentarily.

Definition
Effective collision

A collision with sufficient energy and correct orientation to give products.

Rule
Catalysts lower both barriers

Ea forward and Ea reverse fall by the same amount, so ΔH and the equilibrium position are unchanged.

Key concept
The energetic tail

Temperature mostly matters because it increases the fraction of molecules above Ea, not the collision count.

Equation
Enthalpy from activation energies

ΔH = Ea(forward) - Ea(reverse)

  • Ea(forward) = barrier height from reactants to the transition state
  • Ea(reverse) = barrier height from products to the transition state

Worked examples

Worked example 1

A reaction has Ea(forward) = 85 kJ/mol and Ea(reverse) = 120 kJ/mol. Find ΔH and classify the reaction.

Try it first: Sketch the profile roughly before calculating; the higher reverse barrier tells you where the products sit.

    0 of 2 steps revealed.

    Worked example 2

    Explain why powdering a solid reactant speeds up its reaction with an acid, in collision-theory terms.

      0 of 3 steps revealed.

      Worked example 3

      A catalyst lowers Ea from 100 kJ/mol to 60 kJ/mol for an endothermic reaction with ΔH = +30 kJ/mol. What is the reverse activation energy with and without the catalyst?

        0 of 3 steps revealed.

        Common mistakes

        Saying a catalyst lowers ΔH.

        Why it's wrong: A catalyst changes the pathway, not the relative energies of reactants and products.

        Check instead: Only Ea changes; ΔH and K stay the same.

        Confusing the transition state with an intermediate.

        Why it's wrong: A transition state is an energy maximum and cannot be isolated; an intermediate is a local minimum and can be.

        Check instead: Peak means transition state, valley means intermediate.

        Explaining the temperature effect only as faster-moving particles.

        Why it's wrong: The increase in collision frequency is modest; the dominant effect is the larger fraction of collisions above Ea.

        Check instead: Refer to the growing high-energy tail of the distribution.

        Assuming every collision that is energetic enough gives a reaction.

        Why it's wrong: Orientation still matters, especially for large or asymmetric molecules.

        Check instead: State both the energy and the orientation requirement.

        Practice this skill

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

        What you should now know

        Collision theory holds that a reaction occurs only when particles collide with at least the activation energy and with a suitable orientation. The fraction of collisions clearing the activation barrier grows steeply with temperature, which is why a modest temperature rise produces a large rate increase. An energy profile shows reactants, an activation-energy barrier topped by the transition state, and products; the forward and reverse activation energies differ by the enthalpy change, and a catalyst lowers both by providing a different pathway.

        • Reaction needs collisions with enough energy and correct orientation
        • Ea forward minus Ea reverse equals ΔH
        • Temperature works mainly through the high-energy tail of the distribution
        • A catalyst lowers both barriers and leaves ΔH and K unchanged
        • A transition state is a peak, an intermediate is a valley

        Sources and further reading

        • Chemistry 2e, Section 12.5: Collision Theory
          Paul Flowers, Klaus Theopold, Richard Langley, William R. Robinson · OpenStax, Rice University · Chapter 12.5
          View source

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