Chemical Equilibria

Apply Le Chatelier's principle and calculate equilibrium constants.

  • Define and explain Chemical Equilibria 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 Chemical Equilibria: apply Le Chatelier's principle and calculate equilibrium constants.

Definition: Chemical Equilibria

Apply Le Chatelier's principle and calculate equilibrium constants.

Key ideas

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.

Enthalpy changes are measured — or found with Hess's law

In a simple calorimetry experiment, the heat released warms a known mass of water: q = mcΔT, with c = 4.18 J/g/K for water. Dividing q by the moles of fuel burned gives ΔH in kJ/mol — but heat escapes to the apparatus and air, so experimental values are always less exothermic than data-book values. When a change cannot be measured directly, Hess's law comes to the rescue: the total enthalpy change is independent of the route, so you can add and subtract known enthalpy changes around an energy cycle to find the unknown one.

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: Chemical Equilibria

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

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

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

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.

Explain why increasing temperature increases the rate of reaction.
Think about the fraction of successful collisions.

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.

Quick check

Chemical Equilibria — 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
  • Chemical Equilibria: apply Le Chatelier's principle and calculate equilibrium constants.
  • Equilibria respond to change: At dynamic equilibrium the forward and backward rates are equal, so concentrations stay constant even though both reactions continue.
  • Kc: The equilibrium constant: for aA + bB ⇌ cC + dD, Kc = [C]^c[D]^d ÷ ([A]^a[B]^b).
  • Watch out for: saying a catalyst changes the position of equilibrium