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Year 12 / Ksp and precipitation

When a solid appears.

A sparingly soluble salt establishes an equilibrium between its solid and dissolved ions. The solid is left out of Ksp. For Ag₂CrO₄(s) ⇌ 2Ag⁺ + CrO₄²⁻, Ksp = [Ag⁺]²[CrO₄²⁻].

If the molar solubility in pure water is s, this salt produces [Ag⁺] = 2s and [CrO₄²⁻] = s, so Ksp = 4s34s^{3}. Adding a common ion reduces solubility.

Calculate Qsp with the concentrations after mixing and dilution. Qsp > Ksp predicts precipitation; Qsp < Ksp is unsaturated. Equal values describe saturation.

INTERACTIVE MODEL

Will a solid form?

Ag⁺(aq) + Cl⁻(aq) ⇌ AgCl(s)
Qsp = 1.00e-10 · Unsaturated; no precipitate

AgCl: Ksp = 1.8 × 10⁻¹⁰ at the stated temperature. Sliders give the ion concentrations immediately after mixing, before precipitation. Particles are illustrative, not to scale.

AgCl(s) ⇌ Ag⁺(aq) + Cl⁻(aq) Ksp = [Ag⁺][Cl⁻]
Assumed knowledge

c = n/V; scientific notation; solution volumes are additive in these exercises.

Learning checkpoints & sourceYOUR SYLLABUS CHECKPOINT
  • Write solubility-product expressions.
  • Relate molar solubility to ion concentrations.
  • Use Qsp to predict precipitation.
QCAA Chemistry 2025 v1.3 · p. 33
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