Rates of Reaction

Use collision theory to explain how reactions speed up.

  • Define and explain Rates of Reaction in your own words
  • Use key terms such as dynamic equilibrium accurately
  • Apply what you have learned to new examples and questions
  • Avoid the common mistakes learners make with this topic

This lesson focuses on Rates of Reaction: use collision theory to explain how reactions speed up.

Definition: Rates of Reaction

Use collision theory to explain how reactions speed up.

Key ideas

Rates depend on successful collisions

For particles to react they must collide with enough energy (the activation energy) and in the correct orientation. Raising the temperature increases both the collision frequency and, more importantly, the fraction of collisions with energy at or above the activation energy — which is why rates roughly double for each 10 °C rise. Catalysts speed reactions by providing an alternative route with lower activation energy, without being used up.

Equilibria respond to change

At dynamic equilibrium the forward and backward rates are equal, so concentrations stay constant even though both reactions continue. Le Chatelier's principle predicts the response to change: raising the temperature shifts equilibrium in the endothermic direction, and raising pressure favours the side with fewer moles of gas. Kc quantifies the position: a large Kc means the equilibrium lies far to the right.

Key term — dynamic equilibrium: The state where forward and backward reactions occur at equal rates in a closed system, so concentrations stay constant.

Worked example: Rates of Reaction

Explain why increasing temperature increases the rate of reaction.

Particles move faster, colliding more often, but the key effect is that many more collisions have energy at or above the activation energy, so far more collisions are successful.

Answer: Particles move faster, colliding more often, but the key effect is that many more collisions have energy at or above the activation energy, so far more collisions are successful.

Common mistakes
  • Saying a catalyst changes the position of equilibrium A catalyst speeds up both forward and backward reactions equally, so equilibrium is reached faster but Kc and the final concentrations do not change.
  • Forgetting the minus sign on exothermic ΔH Exothermic enthalpy changes are always negative — heat leaving the system. Writing +209 kJ/mol for a combustion is simply wrong, however good the arithmetic.

Practice

The Haber process (N₂ + 3H₂ ⇌ 2NH₃, ΔH negative) is run at high pressure. Explain why, and state the compromise on temperature.
Count the moles of gas on each side.

High pressure shifts equilibrium to the right (fewer moles of gas: 4 → 2), raising yield. Low temperature would favour the exothermic forward reaction but make it too slow, so a moderate temperature with an iron catalyst is the compromise.

In an experiment, 0.0200 mol of ethanol releases 25.0 kJ heating water. Calculate ΔHc of ethanol.
Divide energy by moles — and mind the sign.

ΔHc = −25.0 ÷ 0.0200 = −1250 kJ/mol.

Use Hess's law: given ΔHc(C) = −394, ΔHc(H₂) = −286 and ΔHc(CH₄) = −890 kJ/mol, calculate ΔHf of methane.
Target: C + 2H₂ → CH₄.

ΔHf = (−394) + 2(−286) − (−890) = −394 − 572 + 890 = −76 kJ/mol.

For N₂ + 3H₂ ⇌ 2NH₃, equilibrium concentrations are [N₂] = 0.50, [H₂] = 1.20, [NH₃] = 0.80 mol/dm³. Calculate Kc.
Kc = [NH₃]² ÷ ([N₂][H₂]³).

Kc = 0.80² ÷ (0.50 × 1.20³) = 0.64 ÷ 0.864 = 0.741, units mol⁻² dm⁶.

Quick check

Rates of Reaction — quick check

Which of these best defines "dynamic equilibrium"?

The state where forward and backward reactions occur at equal rates in a closed system, so concentrations stay constant.

A Maxwell–Boltzmann distribution is drawn at a higher temperature. Describe two changes to the curve.

The peak shifts to higher energy and flattens (fewer molecules at the most probable energy); the total area stays the same, and the area beyond the activation energy grows.
Key takeaways
  • Rates of Reaction: use collision theory to explain how reactions speed up.
  • Rates depend on successful collisions: For particles to react they must collide with enough energy (the activation energy) and in the correct orientation.
  • activation energy: The minimum energy particles need for a collision to cause reaction.
  • Watch out for: saying a catalyst changes the position of equilibrium