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General Chemistry

Solubility Equilibria and the Solubility Product

Even solids we call insoluble dissolve a little, and that small amount is governed by an equilibrium. The solubility product Ksp captures it. In this lab you will connect Ksp to molar solubility, see how a common ion suppresses dissolving, and use the reaction quotient to predict whether a precipitate forms.

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:

Solubility product Ksp = [M+]a [X-]b
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:

Solubility of a 1:2 salt Ksp = [Ca2+][F-]2 = (s)(2s)2 = 4s3
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 versus Ksp Q < Ksp: unsaturated, no precipitate
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.

Precipitate beaker
A beaker in which mixing two clear solutions produces a cloudy solid precipitate.
Filter funnel
Separates the solid precipitate from the solution for weighing.
+++
Ion diagram
A view of dissolved cations and anions in equilibrium with the undissolved solid.
Analytical balance
Weighs the dried precipitate so solubility can be found by mass.
uS
Conductivity meter
Measures how many ions are in solution, tracking how much salt has dissolved.
Volumetric pipette
Delivers a precise volume of one ion solution into another to control the mixture.

Instructions

Work through both tabs. Calculate first by hand, then press the button to compare.

Part A — Molar solubility from Ksp

Part B — Precipitation and the common ion

Simulation

Solubility BenchCalculate first, then check against the simulation.

Team Questions

1. For AgCl, if Ksp = s2, the molar solubility is:
2. Adding NaCl to a saturated AgCl solution makes AgCl:
3. A precipitate forms when:

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.

Practice Questions

1. A 1:1 salt has Ksp = 4.0 × 10-8. Its molar solubility is:
2. The common-ion effect is an example of:
3. Mixing solutions gives Q = 5 × 10-9 for a salt with Ksp = 1.8 × 10-10. Then: