ICE (I=Initial concentrations, C=Change using stoichiometry, E=Equilibrium concentrations) — Initial, Change, Equilibrium
Example setup — 0.1M acetic acid: HA ⇌ H⁺ + A⁻. I: 0.1, 0, 0. C: -x, +x, +x. E: 0.1-x, x, x. Ka = x²/(0.1-x) ≈ x²/0.1 = 1.8×10⁻⁵. x = [H⁺] = 0.00134M. pH = 2.87.
5% approximation rule — If x/initial < 5%, the approximation (0.1-x ≈ 0.1) is valid and saves quadratic math. Check: 0.00134/0.1 = 1.34% — approximation valid here.
When to use quadratic — If x/initial > 5%, use the quadratic formula: x² + Ka·x - Ka·C = 0. Or iterate — plug approximation back in until stable.
Weak bases — Same ICE setup but use Kb. NH₃ + H₂O ⇌ NH₄⁺ + OH⁻. Solve for [OH⁻], then pOH, then pH = 14 - pOH.