Activation barriers: distinguish catalysis, rate, and product control

MCAT content library / Chemistry & physics / Activation barriers and product control

Read reaction-energy profiles to separate rate from thermodynamic favorability, then distinguish what catalysts, temperature, and time can change.

About 17 minutes, including competing-product energy diagrams and Arrhenius reasoning.

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Activation energy controls rate, not equilibrium position

A reaction can be thermodynamically favorable and still proceed slowly if the route from reactants to products has a large activation barrier. The transition state lies near the top of that barrier, and the activation energy Ea helps determine how strongly the rate responds to temperature.

The overall free-energy difference between reactants and products is a different quantity. It helps determine equilibrium favorability, whereas the barrier helps determine how quickly the system can move along a particular pathway.

Concept: catalysts lower a pathway barrier

A catalyst provides an alternative mechanism with a lower activation barrier. It accelerates both forward and reverse approaches to equilibrium because it changes the pathway, not the energies of the equilibrium reactant and product states.

Therefore, a catalyst does not change ΔG° for the reaction and does not change K at fixed temperature. It can change which mechanistic route dominates and how long equilibrium takes to establish.

Worked application: kinetic versus thermodynamic product

An original reaction can produce P1 or P2 from the same reactant R. Energies are reported relative to R = 0 kJ/mol:

PathTransition-state energyProduct energy
R → P1+45 kJ/mol−10 kJ/mol
R → P2+65 kJ/mol−30 kJ/mol
Original competing-pathway energy model.

P1 has the lower activation barrier and therefore forms faster when product formation is effectively irreversible on the experimental timescale. P1 is the kinetic product in that regime.

P2 lies lower in energy and is therefore more thermodynamically stable in this model. If the reaction is reversible and given enough time under conditions that permit equilibration, the product distribution can shift toward P2, the thermodynamic product.

Temperature can alter both rates and the ability of the system to surmount reverse barriers. Whether higher temperature produces more P1 or P2 therefore depends on reversibility, barrier sizes, and the experimental timescale—not a universal “heat favors thermodynamic product” slogan without context.

Pattern: Arrhenius plots report an activation barrier

The Arrhenius equation is

k = Ae−Ea/(RT).

Taking the natural logarithm gives

ln k = ln A − (Ea/R)(1/T).

A plot of ln k versus 1/T is therefore linear in the ideal model, with slope −Ea/R. A more negative slope magnitude indicates a larger apparent activation energy.

If a catalyst lowers Ea while the pre-exponential factor is otherwise treated as comparable, the catalyzed Arrhenius line has a smaller slope magnitude.

Rule: faster formation does not mean greater equilibrium abundance

Rate and equilibrium answer different questions. Rate asks how fast a pathway is traversed. Equilibrium asks how reactant and product free energies compare once reversible reactions have equilibrated.

A lower activation barrier can make one product appear first, while a lower product free energy can make another product dominate later. A catalyst can accelerate both routes without changing which product is thermodynamically favored unless it selectively opens a genuinely different network of accessible reactions.

Check your reasoning

Choose an answer before opening its feedback.

Check 1

A catalyst lowers the forward activation barrier of a reversible reaction. At fixed temperature, what happens to the equilibrium constant?

A. It is unchanged.

Correct. The catalyst changes kinetics, not the thermodynamic free-energy difference.

B. It necessarily doubles.

Review this choice. Barrier height is not the equilibrium constant.

C. It becomes zero.

Review this choice. Catalysis does not remove the equilibrium state.

D. It equals the activation energy.

Review this choice. K is dimensionless under standard definitions and is not numerically equal to Ea.

Check 2

P1 forms through a 40-kJ/mol barrier and P2 through a 70-kJ/mol barrier. Under irreversible short-time conditions, which product is expected to appear faster, all else equal?

A. P1

Correct. The lower barrier gives the faster pathway in the supplied comparison.

B. P2

Review this choice. P2 has the higher activation barrier.

C. Neither can form because both barriers are positive.

Review this choice. Positive barriers are normal; thermal energy allows reactions to cross them.

D. Product stability alone determines the initial rate.

Review this choice. Initial rate is governed by pathway kinetics.

Check 3

On a plot of ln k versus 1/T, the slope is −6000 K. Using the Arrhenius form, what does the slope equal?

A. −Ea/R

Correct. That is the linearized Arrhenius slope.

B. +EaR

Review this choice. Both sign and relationship are wrong.

C. ΔG° directly

Review this choice. The Arrhenius slope reports an activation barrier, not reaction free energy.

D. Keq

Review this choice. Equilibrium constant is not the Arrhenius slope.

Continue learning

Sources

  1. AAMC. Content Category 5E.
  2. OpenStax Chemistry 2e. Collision Theory and Activation Energy.