This MCQ module is based on: Le Chatelier Shifts
Le Chatelier Shifts
This assessment will be based on: Le Chatelier Shifts
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Le Chatelier's Principle, Haber Process and Contact Process
6.10 Le Chatelier's Principle
What happens to a system at equilibrium when we disturb it? The French chemist Henry Louis Le Chatelier answered this in 1884:
6.11 Factors Affecting Equilibrium
6.11.1 Effect of Concentration
If you ADD a reactant or remove a product → equilibrium shifts FORWARD (→) to make more product.
If you ADD a product or remove a reactant → equilibrium shifts REVERSE (←) to make more reactant.
For Fe³⁺(aq) + SCN⁻(aq) ⇌ [FeSCN]²⁺(aq) (red):
| Action | Shift | Observation |
|---|---|---|
| Add FeCl₃ | → | Red colour deepens |
| Add KSCN | → | Red colour deepens |
| Add NaOH (removes Fe³⁺ as Fe(OH)₃) | ← | Red colour fades |
| Add Na₂HPO₄ (removes Fe³⁺) | ← | Red colour fades |
6.11.2 Effect of Pressure / Volume
For gas-phase reactions, an INCREASE in pressure (decrease in volume) shifts equilibrium toward the side with FEWER moles of gas.
| Reaction | Δn_g | ↑P shifts |
|---|---|---|
| N₂(g) + 3H₂(g) ⇌ 2NH₃(g) | −2 | → (toward NH₃) |
| 2SO₂(g) + O₂(g) ⇌ 2SO₃(g) | −1 | → (toward SO₃) |
| PCl₅(g) ⇌ PCl₃(g) + Cl₂(g) | +1 | ← (toward PCl₅) |
| H₂(g) + I₂(g) ⇌ 2HI(g) | 0 | No shift |
6.11.3 Effect of Temperature
This is the only factor that changes the value of K itself.
| Reaction type | ↑T shifts | K vs T |
|---|---|---|
| Exothermic (ΔH < 0) | ← (reverse) | K decreases with T |
| Endothermic (ΔH > 0) | → (forward) | K increases with T |
6.11.4 Effect of a Catalyst
6.11.5 Effect of Inert Gas
Adding an inert gas (like Ar) at constant volume: no effect (partial pressures of reacting gases unchanged).
Adding inert gas at constant pressure: total volume increases, partial pressures of reactants/products decrease — shift toward more moles of gas (just like decreasing P).
6.12 Industrial Applications
6.12.1 Haber Process — Synthesis of Ammonia
\[\text{N}_2(g) + 3\text{H}_2(g) \rightleftharpoons 2\text{NH}_3(g) \qquad \Delta H = -92.4\,\text{kJ/mol}\]Le Chatelier predicts: maximum yield needs high P, low T. But low T means the rate is too slow to be commercially useful! Compromise:
| Condition | Industrial value | Why? |
|---|---|---|
| Pressure | 200–250 atm | Higher P shifts → (Δn = −2) but ultra-high P expensive |
| Temperature | ~700 K (425–450 °C) | Lower T favours product, but rate would be too slow; compromise temperature |
| Catalyst | Iron with K₂O & Al₂O₃ promoters | Speeds both forward and reverse equally — equilibrium reached fast |
| Removal | NH₃ liquefied & removed | Le Chatelier: continuously removing product drives → forward |
6.12.2 Contact Process — Synthesis of Sulfuric Acid
Key step: oxidation of SO₂ to SO₃.
\[2\text{SO}_2(g) + \text{O}_2(g) \rightleftharpoons 2\text{SO}_3(g) \qquad \Delta H = -198\,\text{kJ/mol}\]| Condition | Value | Reason |
|---|---|---|
| Pressure | 1–2 atm | Δn = −1 favours SO₃ at high P, but yield is already ~98% at 1 atm — no need for high P |
| Temperature | ~720 K (450 °C) | Compromise; below 720 K rate is too slow with V₂O₅ |
| Catalyst | V₂O₅ (vanadium pentoxide) | Used since 1930s; cheaper and less easily poisoned than Pt |
| Excess O₂ | 1:1 SO₂:O₂ → 1:1.5 | Le Chatelier: extra reactant pushes → |
Subsequent steps: SO₃ is absorbed in 98% H₂SO₄ to give oleum (H₂S₂O₇), which is then diluted with water to give H₂SO₄.
🎯 Interactive: Le Chatelier Shift Predictor
Pick a stress applied to N₂ + 3H₂ ⇌ 2NH₃ + heat. Predict the shift.
Shift: FORWARD (→)
Adding N₂ raises [N₂]; system consumes some N₂ to produce more NH₃.
K remains unchanged (only T affects K).
Setup: A sealed glass tube contains brown NO₂ in equilibrium with colourless N₂O₄: 2NO₂(g) ⇌ N₂O₄(g); ΔH = −58 kJ/mol. Two identical tubes are placed in (a) ice-water bath, (b) hot water bath.
Cold tube: Equilibrium shifts to the LEFT? No — wait! The forward reaction (2NO₂ → N₂O₄) is exothermic. Lowering T removes "heat product" → equilibrium shifts FORWARD (toward N₂O₄). N₂O₄ is colourless. Tube becomes lighter / pale.
Hot tube: Adding heat (raising T) shifts equilibrium REVERSE (toward NO₂). NO₂ is dark brown. Tube becomes darker / deep brown.
K_eq: falls as T rises (exothermic). At 273 K K ≈ 13; at 350 K K ≈ 0.6.
Worked Example 6.6: Predicting Shifts
For PCl₅(g) ⇌ PCl₃(g) + Cl₂(g) (ΔH = +93 kJ), predict the effect on equilibrium of (a) increasing T (b) doubling V (c) adding Cl₂ (d) adding catalyst.
(b) ↑V (↓P): Δn_g = +1 → shift to side with more moles → forward (→); more dissociation.
(c) Add Cl₂ (product): shift reverse (←); less dissociation.
(d) Catalyst: no shift; equilibrium reached faster.
Worked Example 6.7: Optimum Conditions
For 2SO₂(g) + O₂(g) ⇌ 2SO₃(g); ΔH = −198 kJ. What conditions of T and P maximize the yield of SO₃?
Reality: low T = slow rate. Industrially, ~720 K with V₂O₅ catalyst is the compromise. Δn = −1, but yield is already ~98% at modest pressure (~1 atm). High pressure is unnecessary.
🎯 Competency-Based Questions
Q1. A catalyst alters: L1 Remember
Q2. For an exothermic reaction, K decreases on raising T. Why? L2 Understand
Q3. For 2NO₂(g) ⇌ N₂O₄(g), if pressure is doubled at constant T, in which direction will the equilibrium shift? L3 Apply
Q4. Why does adding inert gas (Ar) at constant volume not shift the equilibrium of N₂ + 3H₂ ⇌ 2NH₃? L4 Analyse
Q5. HOT (Evaluate): Why does the Haber process not use 1000 atm pressure even though Le Chatelier suggests it would maximize NH₃ yield? L5 Evaluate
🧠 Assertion–Reason Questions
Choose: (A) Both true, R explains A. (B) Both true, R doesn't explain A. (C) A true, R false. (D) A false, R true.
A: A catalyst doesn't shift the position of equilibrium.
R: A catalyst speeds up the forward and reverse reactions to the same extent.
A: Increasing pressure shifts the equilibrium of N₂ + 3H₂ ⇌ 2NH₃ to the right.
R: The product side has fewer moles of gas.
A: Increasing temperature increases K for an exothermic reaction.
R: Higher T provides more energy for forward bond-making.