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Le Châtelier's Principle

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A system pushes back against a stress

Le Châtelier’s principle: if a system at equilibrium is disturbed, it shifts in the direction that partially counteracts the disturbance. Add a reactant and the system consumes some of it (shifts right); remove a product and the system makes more of it (shifts right). Adding or removing a species changes the position of equilibrium but, crucially, does not change the value of K — only temperature does that.

Pressure and volume: follow the gas moles

For reactions involving gases, increasing pressure by decreasing the volume shifts the equilibrium toward the side with fewer moles of gas — that relieves the pressure. Decreasing pressure (larger volume) shifts toward more moles of gas. If both sides have equal gas moles, a volume change causes no shift. Adding an inert gas at constant volume changes nothing, because no partial pressures of the reacting gases change.

Temperature: treat heat as a reagent

Temperature is the one stress that actually changes K. Write heat into the equation: for an exothermic reaction (ΔH < 0), heat is a product, so raising the temperature shifts the reaction left and lowers K. For an endothermic reaction (ΔH > 0), heat is a reactant, so raising the temperature shifts it right and raises K. A catalyst speeds both directions equally and does not shift equilibrium at all.

Temperature and K (heat-as-reagent rule)
Exothermic (ΔH < 0): heat is a product → raising T shifts left, K decreases. Endothermic (ΔH > 0): heat is a reactant → raising T shifts right, K increases.
Only a temperature change alters the numerical value of K. Concentration, volume, pressure, and catalyst changes never do.
Worked example

For the Haber process N₂(g) + 3H₂(g) ⇌ 2NH₃(g), ΔH = −92 kJ (exothermic). Predict the effect of (a) adding more N₂, (b) compressing the mixture to a smaller volume, and (c) raising the temperature.

  1. 1.(a) Adding N₂ raises a reactant concentration. The system consumes some N₂ by shifting right → more NH₃. K unchanged.
  2. 2.(b) Count gas moles: 4 mol gas on the left (1 + 3), 2 mol on the right. Compression favors the side with fewer moles → shift right, more NH₃. K unchanged.
  3. 3.(c) Exothermic means heat is a product. Raising T adds "product," so the system shifts left → less NH₃, and K decreases.
Answer: (a) shifts right, (b) shifts right, (c) shifts left. Industrially this is the classic tension: high pressure boosts yield, but the needed high temperature (for speed) lowers it, so a compromise temperature plus a catalyst is used.
Checkpoint

For N₂(g) + 3H₂(g) ⇌ 2NH₃(g), the volume of the container is suddenly increased (pressure decreased). Which way does the equilibrium shift?

Checkpoint

The reaction 2SO₂(g) + O₂(g) ⇌ 2SO₃(g) is exothermic. If the temperature is increased, what happens?

Checkpoint

In the equilibrium Fe³⁺(aq) + SCN⁻(aq) ⇌ FeSCN²⁺(aq) (deep red), extra SCN⁻ is added. What is observed and why?

Watch out

Do not confuse rate with position. A catalyst and (for gases) an added inert gas at constant volume both leave the equilibrium position untouched. And only temperature changes K — if a question claims adding a reactant "increased K," it is wrong.

Answer the 3 checkpoints as you read.

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