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In 1884, Henry Louis Le Chatelier at the École des Mines in Paris cooled a sealed tube of N₂O₄/NO₂ mixture from 25°C to 0°C and recorded that the brown colour faded — even though he hadn't removed any gas. He needed collision theory to explain why. A sealed container holds N₂O₄(g) (colourless) and NO₂(g) (brown) at equilibrium at 25°C. The mixture is a pale brown colour — both species are present.
The container is now placed in an ice bath. Before reading any theory — predict what happens to the colour over the next few minutes. Does the brown get darker, lighter, or stay the same? Explain your reasoning using what you know about how particles collide. Write your prediction and reasoning now. You will revisit this at the end of the lesson with a full collision theory explanation.
- Effective collision: correct orientation + energy ≥ Eₐ
- Forward rate ∝ [reactants] — decreases as reactants consumed
- Reverse rate ∝ [products] — increases as products accumulate
- Exothermic forward: Eₐ(fwd) < Eₐ(rev) → products lower energy
- Endothermic forward: Eₐ(fwd) > Eₐ(rev) → products higher energy
Catalyst: lowers Eₐ equally for both directions → no change to equilibrium position or Keq
Know
- How collision theory explains the approach to equilibrium
- The relationship ΔH = Eₐ(forward) − Eₐ(reverse)
- Why a catalyst does not shift equilibrium position or change Keq
Understand
- Why decreasing temperature shifts an exothermic reaction to the right using Ea reasoning
- Why the NO₂/N₂O₄ system changes colour with temperature and pressure
- How to draw and interpret rate-vs-time graphs for systems after disturbances
Can Do
- Apply collision theory language to explain equilibrium approach and disturbances
- Draw energy diagrams with correct Ea(forward) and Ea(reverse) for exo- and endothermic reactions
- Explain why a catalyst is industrially valuable even though it doesn't change yield
States that reactions occur when particles collide with sufficient energy and correct orientation.
The minimum energy required for a collision to result in a chemical reaction.
A graph showing the spread of particle kinetic energies in a gas or solution at a given temperature.
A collision that results in bond breaking and formation, producing products.
The number of collisions per unit time between reactant particles.
Increasing temperature increases the proportion of molecules with energy ≥ Ea, raising reaction rate.
Core Content
Collision theory is the particle-level language for everything in equilibrium chemistry — it explains not just whether reactions happen, but how fast, and why the rates change as the system evolves.
From Module 3, you learned that for a reaction to occur, particles must collide with correct orientation and sufficient energy (≥ the activation energy Ea). The rate of reaction depends on the frequency of effective collisions.
In Module 5, this same framework explains the approach to dynamic equilibrium. As a reversible reaction proceeds forward, three things change simultaneously:
- The concentration of reactants decreases → fewer reactant-reactant collisions per second → forward rate decreases
- The concentration of products increases → more product-product collisions per second → reverse rate increases
- The rates converge until forward rate = reverse rate — dynamic equilibrium
This is not coincidence — it is a direct consequence of collision theory applied to a reversible system.
The four stages of approaching dynamic equilibrium — collision theory language at each stage
What to write in your book
- Forward rate ∝ [reactants] — starts at maximum, decreases as reactants consumed
- Reverse rate ∝ [products] — starts at zero, increases as products accumulate
- Dynamic equilibrium: forward rate = reverse rate ≠ 0
- HSC language: always say "frequency of effective collisions decreases/increases"
When a reversible reaction starts with only pure reactants, which of the following correctly describes the initial state?
The activation energy diagrams you studied in Module 4 take on new meaning in equilibrium chemistry — the relative heights of the forward and reverse energy barriers determine which direction is naturally preferred.
An energy diagram for a reversible reaction shows two activation energies:
- Ea(forward) — energy barrier from reactants to the transition state
- Ea(reverse) — energy barrier from products to the transition state
The difference is the enthalpy change: $\Delta H = E_a(\text{forward}) - E_a(\text{reverse})$
For an exothermic forward reaction (ΔH < 0): Products are lower in energy than reactants. The energy barrier going forward (Ea forward) is smaller than the barrier going backward (Ea reverse). At a given temperature, a larger fraction of particles can cross the forward barrier → forward rate is inherently faster at the same concentrations → equilibrium position lies on the products side.
For an endothermic forward reaction (ΔH > 0): Products are higher in energy than reactants. Ea(reverse) is smaller than Ea(forward) → more particles can cross the reverse barrier → equilibrium position lies on the reactants side.
Energy profile for an exothermic forward reaction — products are lower in energy, so Ea(forward) < Ea(reverse)
What to write in your book
- ΔH = Eₐ(forward) − Eₐ(reverse)
- Exothermic forward: Eₐ(fwd) < Eₐ(rev) — products sit lower in energy
- Endothermic forward: Eₐ(fwd) > Eₐ(rev) — products sit higher in energy
- Cooling shifts exothermic equilibrium RIGHT (reverse rate falls proportionally more)
For an exothermic forward reaction, Ea(forward) is greater than Ea(reverse).
A catalyst is the great equaliser of equilibrium chemistry — it accelerates both directions of a reversible reaction proportionally, getting you to equilibrium faster but leaving the destination unchanged.
A catalyst works by providing an alternative reaction pathway with a lower activation energy. In a reversible reaction, a catalyst lowers the Ea for BOTH the forward and reverse reactions by the same amount. Because both barriers are lowered equally:
- The rate of the forward reaction increases by the same factor as the rate of the reverse reaction
- The ratio of forward to reverse rates is unchanged — and this ratio determines Keq
- Therefore: NO change to equilibrium position; NO change to Keq
- Equilibrium is reached more quickly (both rates are faster), but the destination is the same
What to write in your book
- Catalyst lowers Eₐ equally for BOTH forward AND reverse reactions
- NO change to equilibrium position; NO change to Keq
- Increases RATE of reaching equilibrium only
- Keq depends only on temperature — a catalyst cannot change Keq
Complete: A catalyst lowers Eₐ equally for both forward and reverse reactions, so the equilibrium ___ is unchanged even though equilibrium is reached faster.
The equilibrium between nitrogen dioxide and dinitrogen tetroxide is chemistry's most photogenic demonstration of collision theory at work — you can watch equilibrium shift in real time just by changing the temperature or pressure.
The equilibrium: 2NO₂(g) ⇌ N₂O₄(g), ΔH = −57 kJ/mol (exothermic)
- NO₂ is brown/reddish-brown (dark colour indicates more NO₂)
- N₂O₄ is colourless (paler mixture indicates more N₂O₄)
Temperature effect (collision theory): The forward reaction is exothermic → Ea(forward) < Ea(reverse). At lower temperature, fewer particles exceed either activation energy, but proportionally more can still cross the lower forward barrier. The forward rate decreases less than the reverse rate → forward rate > reverse rate → equilibrium shifts right → more N₂O₄ forms → mixture becomes paler when cooled.
Pressure effect: Increasing pressure by compressing the gas increases the concentration of all species → both forward and reverse collision frequencies increase. But the forward reaction converts 2 moles of NO₂ into 1 mole of N₂O₄ — reducing total gas molecules. The forward rate increases more → equilibrium shifts toward fewer moles of gas (right) → more N₂O₄ → paler at higher pressure.
What to write in your book
- 2NO₂(g) ⇌ N₂O₄(g), ΔH = −57 kJ/mol (exothermic forward)
- NO₂ = brown; N₂O₄ = colourless
- Cool → paler (forward rate decreases less than reverse → shift right → more N₂O₄)
- Compress → paler (shift toward fewer gas moles = right)
A sealed syringe containing a NO₂/N₂O₄ equilibrium mixture is placed in hot water. What happens to the colour, and why?
A rate-vs-time graph tells you the entire story of how a system approaches equilibrium — and knowing how to read and draw one is a core skill that distinguishes Band 4 answers from Band 6 answers in Module 5.
Three types of scenarios you must be able to draw and interpret:
| Scenario | What the graph shows | Why |
|---|---|---|
| Approach from pure reactants | Forward rate starts high, decreases; reverse rate starts at zero, increases; both meet at non-zero plateau | Forward collisions decrease as reactants consumed; reverse collisions increase as products form |
| Approach from pure products | Mirror image: reverse rate starts high, decreases; forward rate starts at zero, increases; both meet at same plateau | Reverse collisions decrease as products consumed; forward collisions increase as reactants form |
| Adding reactant to a system at equilibrium | Forward rate spikes up suddenly; reverse rate unchanged initially; both re-equalise at a new higher plateau | More reactant → more forward collisions immediately; reverse catches up as more product forms |
Key: the same equilibrium rate plateau is reached regardless of direction of approach (as long as total composition is the same). The equilibrium rate value represents the equal forward and reverse rates — both are non-zero.
What to write in your book
- Rate-vs-time: from reactants — forward rate starts max, falls; reverse rate starts 0, rises; they meet
- From products: mirror image — reverse rate starts max, forward starts 0; same plateau reached
- Disturbance: adding reactant spikes forward rate; system re-equalises at higher plateau
- Same equilibrium plateau regardless of approach direction
The same equilibrium rate plateau is reached regardless of whether the system starts from pure reactants or pure products (given the same total atomic composition).
✏️ Worked Examples
The reaction PCl₅(g) ⇌ PCl₃(g) + Cl₂(g) is endothermic (ΔH = +88 kJ/mol). A sealed flask is filled with pure PCl₅(g).
(a) Explain, using collision theory, how the system approaches dynamic equilibrium from this initial condition.
(b) Indicate which activation energy is larger — Ea(forward) or Ea(reverse) — and explain why using the sign of ΔH.
At t = 0, only PCl₅ is present. Concentration of PCl₅ is at maximum → frequency of effective forward collisions is at maximum → forward rate is at its maximum. There are no products (PCl₃ and Cl₂) → reverse rate is zero.
As the reaction proceeds: PCl₅ is consumed → its concentration decreases → frequency of effective forward collisions decreases → forward rate decreases. PCl₃ and Cl₂ are produced → their concentrations increase → frequency of effective reverse collisions increases → reverse rate increases.
When forward rate = reverse rate (both non-zero), dynamic equilibrium is established. Concentrations of all species become constant.
The forward reaction is endothermic (ΔH = +88 kJ/mol) → products are higher in energy than reactants → the energy barrier going forward (from low-energy reactants up to the transition state) is larger than the barrier going backward (from high-energy products up to the transition state).
Using ΔH = Ea(forward) − Ea(reverse) = +88 kJ/mol → confirms Ea(forward) > Ea(reverse).
→ Ea(forward) > Ea(reverse)
Summary: (a) Forward rate starts maximum and decreases as PCl₅ is consumed; reverse rate starts at zero and increases as PCl₃ and Cl₂ accumulate; equilibrium established when rates equalise. (b) Ea(forward) > Ea(reverse) because the endothermic forward reaction means products sit higher in energy — it takes more energy to climb the hill going forward than backward.
The Contact process: 2SO₂(g) + O₂(g) ⇌ 2SO₃(g), ΔH = −196 kJ/mol. The system is at equilibrium.
(a) Using a reaction energy diagram, explain why the V₂O₅ catalyst does not shift the equilibrium position.
(b) Explain why the catalyst is still valuable industrially.
(c) Decreasing temperature shifts equilibrium to the right for this exothermic reaction. Explain using Ea and collision theory.
The V₂O₅ catalyst provides an alternative lower-energy pathway. On the energy diagram, the transition state peak is lowered by the same amount for both forward and reverse reactions. Both Ea(forward) and Ea(reverse) decrease by the same value x.
Because both barriers are lowered equally, the rate of the forward reaction increases by the same factor as the rate of the reverse reaction. The ratio of forward to reverse rates is unchanged — and it is this ratio that determines Keq and equilibrium position.
→ No shift in equilibrium position; Keq unchanged.
Although the catalyst does not improve yield, it dramatically increases the rate at which equilibrium is reached. At 450°C, the uncatalysed reaction would be too slow to be economically viable. The catalyst allows equilibrium to be reached quickly at a moderate temperature, making the process commercially feasible.
Without the catalyst, a higher temperature would be needed for sufficient rate — but this would decrease yield (exothermic reaction shifts left at higher T). The catalyst allows the compromise of moderate temperature with acceptable rate.
The forward reaction (SO₂ + O₂ → SO₃) is exothermic → Ea(forward) < Ea(reverse). At lower temperature, average kinetic energy of particles decreases — both forward and reverse rates decrease.
However, the rate decreases proportionally more for the reaction with the higher Ea. Since Ea(reverse) > Ea(forward), the reverse rate decreases more than the forward rate. Now forward rate > reverse rate → net forward reaction → equilibrium shifts right → more SO₃ produced.
Summary: (a) Catalyst lowers Ea equally for both directions — ratio of rates unchanged — no shift in equilibrium position or Keq. (b) Catalyst enables acceptable rate at lower temperature, preserving higher yield from the exothermic equilibrium. (c) Decreasing T reduces both rates but reduces the reverse rate more (higher Ea reverse for exothermic reaction) → forward rate temporarily exceeds reverse → shift right to more SO₃.
Copy Into Your Books — Full Summary
Collision Theory and Equilibrium
- Forward rate ∝ [reactants] — decreases as reactants consumed
- Reverse rate ∝ [products] — increases as products accumulate
- Equilibrium: forward rate = reverse rate (both non-zero)
- HSC language: "frequency of effective collisions decreases/increases"
Activation Energy Rules
- ΔH = Eₐ(forward) − Eₐ(reverse)
- Exothermic forward: Eₐ(fwd) < Eₐ(rev) — products lower energy
- Endothermic forward: Eₐ(fwd) > Eₐ(rev) — products higher energy
- Cooling shifts exothermic equilibrium right (reverse rate falls more)
Catalyst Rules — Critical
- Lowers Eₐ equally for BOTH forward AND reverse reactions
- NO change to equilibrium position
- NO change to Keq
- Increases RATE of reaching equilibrium only
NO₂/N₂O₄ System
- 2NO₂(g) ⇌ N₂O₄(g), ΔH = −57 kJ/mol
- NO₂ = brown; N₂O₄ = colourless
- Cool → paler (shift right, more N₂O₄)
- Compress → paler (shift toward fewer gas moles = right)
Activities
For each reaction, describe a correctly labelled energy profile diagram including the relative positions of reactants, products, transition state, Eₐ(forward), Eₐ(reverse), and ΔH arrow.
- 2SO₂(g) + O₂(g) ⇌ 2SO₃(g), ΔH = −196 kJ/mol (exothermic forward). State which Eₐ is larger and why.
- N₂(g) + O₂(g) ⇌ 2NO(g), ΔH = +180 kJ/mol (endothermic forward). State which Eₐ is larger and why.
- Add a catalyst to the diagram for reaction 1. Describe what changes and what stays the same. Explain the effect on equilibrium position.
At the start of a reversible reaction (only reactants present), the forward rate is high and the reverse rate is zero. Predict: as the reaction proceeds toward equilibrium, what happens to these two rates — and why?
How close was your prediction?
Spot on — this rate-vs-time graph shape is a guaranteed exam question.
Key: forward rate falls (reactants used up), reverse rate rises (products build up) — they meet at equilibrium. Draw this graph from memory.
Complete the Learn phase to unlock practice questions.
The industrial chemist's dilemma: "I need to maximise the yield of SO₃ from the Contact process (2SO₂ + O₂ ⇌ 2SO₃, ΔH = −196 kJ/mol), but I also need the reaction to proceed at an acceptable rate." Using collision theory, activation energy concepts, and the role of catalysts, write a response explaining the rate–yield trade-off and how the V₂O₅ catalyst resolves the industrial problem. (6 marks)
Go back to your Think First prediction. Recall that in 1884, Le Chatelier at the École des Mines recorded exactly this result — he cooled a sealed N₂O₄/NO₂ tube and the brown colour faded. Now you have the collision theory explanation he needed.
• Was your prediction correct (paler)? Can you now give the full collision theory and Ea explanation of why Le Chatelier's observation was correct?
• Can you explain why the same temperature decrease would have the opposite colour effect if the forward reaction were endothermic instead?