Equilibria
Le Chatelier, Kc and Kp
Le Chatelier's principle
When an equilibrium is disturbed, the position shifts to oppose the change. Raise the temperature and it shifts in the endothermic direction; raise the pressure and it shifts to the side with fewer gas moles. A catalyst causes no shift — equilibrium is simply reached faster.
The Haber process (N₂ + 3H₂ ⇌ 2NH₃, ΔH = −92 kJ mol⁻¹) is the classic compromise: 400–450 °C, ~200 atm and an iron catalyst. A lower temperature would favour the yield, but the reaction becomes too slow to be worth it.
Equilibrium constant
Kc = [C]c[D]d / [A]a[B]bK changes only with temperature — for an exothermic reaction, raising T decreases K. Changes in concentration or pressure move the position of equilibrium, but K itself stays put. Kp is the gas-phase version built from partial pressures, where p(X) = mole fraction × total pressure.
3.1.6.2Kc from equilibrium data — the ICE routine
- Set out the ICE table: initial 1.00 / 1.00 / 0 · change −0.80 / −0.80 / +1.60 · equilibrium 0.20 / 0.20 / 1.60 mol.
- Substitute: Kc = [HI]² ÷ ([H₂][I₂]) = 1.60² ÷ (0.20 × 0.20) = 64 (no units — the concentrations cancel).
3.1.10Kp — the same idea with pressures
Mole fraction x = moles of gas ÷ total moles, and partial pressure p = x × P(total). Kp is built exactly like Kc but with the partial pressures of gases only — solids and pure liquids never appear in Kp expressions. Like Kc, Kp changes with temperature only: pressure shifts the position, not the constant.
3.1.6.3The three industrial equilibria
| Process | Reaction | Catalyst | Conditions | Why the compromise |
|---|---|---|---|---|
| Haber | N₂ + 3H₂ ⇌ 2NH₃ (ΔH −92) | Fe | 400–450 °C, ~200 atm | low T = better yield but too slow; ~15% per pass, gases recycled |
| Contact | 2SO₂ + O₂ ⇌ 2SO₃ | V₂O₅ | ~450 °C, ~2 atm | yield already ~99.5% near atmospheric pressure — high p not worth it |
| Ethanol | C₂H₄ + H₂O ⇌ C₂H₅OH | H₃PO₄ | 300 °C, 60–70 atm | ~5% per pass; unreacted ethene recycled |
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