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Catalysts and activation energy (SACE Stage 2 Chemistry)

Syllabus dot point

“Explain how catalysts increase reaction rate by providing an alternative pathway with a lower activation energy, and represent this on an energy profile.”

8 min read

Quick answer

A catalyst speeds up a reaction by providing an alternative reaction pathway with a lower activation energy. On the Maxwell-Boltzmann distribution this means a larger fraction of particles can react, so more collisions are successful and the rate rises. A catalyst is not consumed and does not change ΔH\Delta H, the position of equilibrium, or the products; it only lowers EaE_a, speeding both forward and reverse reactions equally.

Jump to a section
  1. What this dot point is asking
  2. Lead worked calculation
  3. How a catalyst works
  4. The energy profile
  5. Homogeneous and heterogeneous catalysts
  6. What a catalyst does not change
  7. Why it matters for managing processes
  8. Exam-style questions

What this dot point is asking

SACE expects you to explain catalysis with collision theory, draw and label energy profiles showing the lowered EaE_a, distinguish homogeneous and heterogeneous catalysts, and state what a catalyst does and does not change.

Lead worked calculation

Comparing successful-collision fractions

The uncatalysed decomposition of a compound has Ea=80 kJ mol−1E_a = 80\ \text{kJ mol}^{-1}; a catalyst lowers it to 50 kJ mol−150\ \text{kJ mol}^{-1}. Explain quantitatively, in words, why this dramatically increases the rate.

Identify what controls rate

Rate is proportional to the fraction of molecules with energy at least EaE_a. On the Maxwell-Boltzmann curve this is the area to the right of the EaE_a line.

Compare the two thresholds

At Ea=80 kJ mol−1E_a = 80\ \text{kJ mol}^{-1}, only a small tail of molecules has enough energy. Moving the threshold left to Ea=50 kJ mol−1E_a = 50\ \text{kJ mol}^{-1} captures a much larger area under the curve.

Conclude

Because the number of molecules able to react grows steeply as the threshold falls, even a 30 kJ mol−130\ \text{kJ mol}^{-1} reduction can increase the successful-collision fraction many times over, so the rate increases sharply, while the products and ΔH\Delta H stay the same.

How a catalyst works

Catalyst

A catalyst is a substance that increases the rate of a reaction by providing an alternative reaction pathway with a lower activation energy, without being consumed in the overall reaction. It may take part in intermediate steps but is regenerated, so its amount is unchanged at the end.

The catalyst does not give the particles more energy; it lowers the energy barrier they must clear. With a lower EaE_a, a greater proportion of the existing collisions already have enough energy to succeed, so the rate of successful collisions, and thus the reaction rate, increases.

The energy profile

An energy profile (reaction-coordinate diagram) plots energy against the progress of the reaction.

Reading a catalysed energy profile

On the diagram, the reactant and product energy levels are identical with or without a catalyst, so ΔH\Delta H is unchanged. The catalysed pathway is drawn with a lower hump, showing the reduced activation energy. For a multi-step heterogeneous catalyst the single large hump may be replaced by two or more smaller humps, each below the original peak. The lower the peak, the larger the fraction of molecules that can clear it.

Homogeneous and heterogeneous catalysts

  • Homogeneous catalysts are in the same phase as the reactants (e.g. aqueous ions catalysing a solution reaction). They react to form an intermediate, then are regenerated.
  • Heterogeneous catalysts are in a different phase, usually a solid catalysing gaseous or liquid reactants (e.g. iron in the Haber process, platinum in catalytic converters). Reactants adsorb onto the catalyst surface, which weakens their bonds and holds them in favourable orientations; the products then desorb, freeing the surface.

What a catalyst does not change

A catalyst lowers EaE_a for both the forward and reverse reactions equally, so it speeds the approach to equilibrium but does not shift the equilibrium position or change KcK_c. It also does not change the enthalpy change ΔH\Delta H, the amount of product at equilibrium, or the identity of the products. It only changes how fast equilibrium is reached.

Claiming a catalyst changes yield or enthalpy

The most common SACE error is stating that a catalyst increases the yield or makes the reaction "more exothermic". A catalyst changes only the rate, by lowering EaE_a; it leaves ΔH\Delta H, the equilibrium position and the maximum yield untouched. Another error is saying a catalyst gives particles more energy; it does not, it lowers the barrier so that more of the existing particles already have enough energy. When drawing profiles, keep the reactant and product levels identical in both pathways.

Why it matters for managing processes

Catalysts let industry run reactions faster at lower temperatures and pressures, saving energy and cost, which is why they are central to green and economic process design. Roughly 90%90\% of industrial chemical processes use a catalyst, from the iron in ammonia synthesis to the metals in vehicle catalytic converters that destroy pollutants.

Exam-style questions

Questions in the style of SACE Board exam questions on this dot point, each with a worked answer. They are written by ExamExplained unless tagged "Past paper"; the year shows the paper a question is modelled on.

SACE 2022-style4 marks
An uncatalysed reaction has an activation energy of 75 kJ mol−175\ \text{kJ mol}^{-1} and a catalysed pathway has an activation energy of 45 kJ mol−145\ \text{kJ mol}^{-1}. (a) Sketch and label an energy profile showing both pathways for this exothermic reaction. (b) Using the Maxwell-Boltzmann distribution, explain why the lower activation energy increases the rate. (c) State the effect of the catalyst on the enthalpy change of the reaction.
Show worked answer →

(a) The profile shows reactants higher than products (exothermic, ΔH\Delta H negative). Two humps are drawn: the uncatalysed peak at +75 kJ mol−1+75\ \text{kJ mol}^{-1} above reactants and a lower catalysed peak at +45 kJ mol−1+45\ \text{kJ mol}^{-1}. Both start and end at the same reactant and product levels. (2 marks)

(b) On the Maxwell-Boltzmann distribution, lowering EaE_a moves the EaE_a line to the left, so a larger fraction of particles (a greater area under the curve) now has energy at least EaE_a. More collisions are successful per second, so the rate increases. (1 mark)

(c) The catalyst has no effect on ΔH\Delta H. It changes the pathway and the activation energy but not the energies of the reactants or products, so the enthalpy change is unchanged. (1 mark)

SACE 2020-style3 marks
Hydrogen peroxide decomposes slowly: 2H2O2→2H2O+O22\text{H}_2\text{O}_2 \rightarrow 2\text{H}_2\text{O} + \text{O}_2. Adding manganese(IV) oxide greatly speeds it up, and the MnO2\text{MnO}_2 can be recovered unchanged afterwards. (a) Calculate the mass of oxygen produced from 3.40 g3.40\ \text{g} of H2O2\text{H}_2\text{O}_2. (b) Explain why the MnO2\text{MnO}_2 is described as a catalyst. (M(H2O2)=34.0M(\text{H}_2\text{O}_2) = 34.0, M(O2)=32.0 g mol−1M(\text{O}_2) = 32.0\ \text{g mol}^{-1}.)
Show worked answer →

(a) n(H2O2)=3.4034.0=0.100 moln(\text{H}_2\text{O}_2) = \dfrac{3.40}{34.0} = 0.100\ \text{mol}. From the 2:12:1 ratio, n(O2)=0.0500 moln(\text{O}_2) = 0.0500\ \text{mol}, so m(O2)=0.0500×32.0=1.60 gm(\text{O}_2) = 0.0500 \times 32.0 = 1.60\ \text{g}. (2 marks)

(b) MnO2\text{MnO}_2 increases the rate by providing an alternative pathway with a lower activation energy, yet is chemically unchanged and recoverable at the end, so it is a catalyst. (1 mark)

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