Theory — Solubility Equilibria and the Solubility Product
When an ionic solid is placed in water, it dissolves until the solution is saturated and a dynamic equilibrium is reached between the solid and its dissolved ions.
1. The solubility product
For a salt that dissolves as MaXb → a M+ + b X-, the equilibrium constant for dissolving is the solubility product:
The pure solid does not appear in the expression.
2. Molar solubility
The molar solubility s is the moles of salt that dissolve per litre. It links directly to Ksp. For a 1:1 salt such as AgCl, Ksp = s2, so s = √Ksp. For a 1:2 salt such as CaF2:
so s = (Ksp / 4)1/3
3. The common-ion effect
Adding an ion the salt already contains shifts the equilibrium back toward the solid, so the salt dissolves less. Silver chloride, for example, is far less soluble in a sodium chloride solution than in pure water. This is Le Chatelier’s principle applied to solubility.
4. Predicting precipitation with Q
To decide whether mixing two solutions makes a precipitate, compute the ion product Q with the same form as Ksp but using the actual mixed concentrations, and compare:
Q = Ksp: exactly saturated
Q > Ksp: supersaturated, a precipitate forms
Apparatus
Solubility work uses tools to form, separate, and measure precipitates and ion concentrations. In the simulation these are modelled, but the readings match what each instrument would give.
Instructions
Work through both tabs. Calculate first by hand, then press the button to compare.
Part A — Molar solubility from Ksp
- Choose a salt and read its Ksp and dissolving stoichiometry.
- Compute the molar solubility s (use s = √Ksp for a 1:1 salt, or s = (Ksp/4)1/3 for a 1:2 salt).
- Enter your value and press Check; it compares within 4 percent.
Part B — Precipitation and the common ion
- Set the mixed ion concentrations, or add a common ion.
- Predict whether a precipitate forms by comparing Q with Ksp, then press Check.
Simulation
Team Questions
Example Report
Worked example: the solubility of calcium fluoride
For CaF2, Ksp = 3.9 × 10-11 and dissolving gives one Ca2+ and two F-, so Ksp = 4s3.
s = (Ksp / 4)1/3 = (3.9 × 10-11 / 4)1/3 = (9.75 × 10-12)1/3 ≈ 2.1 × 10-4 M.
So about 0.00021 mol of CaF2 dissolves per litre. Setting up the Ksp expression from the stoichiometry and solving for s is the calculate-then-compare core of the lab.