CHEMISTRY • EQUILIBRIUM
Solubility Product (Ksp) & Common Ion Effect
Compare intrinsic and common-ion-limited solubility, then test whether a chosen ion mixture is undersaturated or precipitation-favored.
Dissolution and precipitation
Comparing the ion product Q with Ksp shows whether a mixture is below, near or above its saturation threshold.
LEARN WITH THE SIMULATION
Understand Solubility Product (Ksp) & Common Ion Effect by experimenting.
The solubility product Ksp is an equilibrium constant for dissolution, while molar solubility is the amount of solid that dissolves under a particular composition. This laboratory separates those ideas by solving equilibrium solubility for 1:1 and 1:2 salts, adding a common anion, and independently evaluating an arbitrary test mixture through its ion product Q. The premium inspector shows Ksp, Q/Ksp, common-ion suppression and equilibrium ion concentrations together.
BUILD THE IDEA
What you should understand first
- Write Ksp expressions from dissolution stoichiometry for MX and MX₂ salts.
- Solve how a common ion changes equilibrium molar solubility while Ksp itself remains fixed.
- Compare Q with Ksp to classify undersaturation, near-saturation and precipitation-favored conditions.
- Explain why Q/Ksp and equilibrium solubility answer different questions about the same chemical system.
TRY IT YOURSELF
How can adding a common ion reduce equilibrium solubility even though Ksp does not change?
- Choose an MX salt with fixed logKsp and zero common ion, then record molar solubility.
- Increase common anion concentration while keeping Ksp fixed.
- Compare new solubility with the no-common-ion reference and record the suppression factor.
- Separately adjust the test ion mixture until Q/Ksp crosses one and compare that precipitation criterion with the equilibrium-solubility calculation.
Ksp is fixed for the modeled salt and temperature, but the equilibrium concentrations satisfying that product depend on ions already present. Adding a common ion forces the dissolved salt contribution lower. Q, by contrast, tests a specified mixture against the same equilibrium threshold.
WHY IT WORKS 01
Stoichiometry controls the algebra between Ksp and solubility
For MX dissolving as M + A, a pure-water equilibrium gives Ksp = s². For MX₂ dissolving as M + 2A, the ideal concentrations are [M]=s and [A]=2s, so Ksp = s(2s)² = 4s³. The same Ksp value therefore corresponds to different molar solubilities depending on dissolution stoichiometry.
WHY IT WORKS 02
The common-ion effect follows directly from the equilibrium product
If an anion is already present, the anion concentration in the Ksp expression becomes the common-ion concentration plus the amount contributed by new dissolution. Because the product must remain equal to Ksp at equilibrium, increasing the pre-existing anion concentration forces the allowed dissolved-solid contribution downward.
WHY IT WORKS 03
Q asks whether a current mixture is below or above the equilibrium boundary
The ion product Q uses the same concentration expression as Ksp but evaluates the mixture as it exists now. Q<Ksp indicates undersaturation, Q≈Ksp indicates saturation and Q>Ksp indicates precipitation is thermodynamically favored. This comparison is separate from solving the equilibrium solubility of a solid in contact with solution.
DO NOT MIX THESE UP
Common misconception
Ksp is not generally equal to molar solubility, especially when stoichiometric exponents are involved or a common ion is present. Q > Ksp predicts precipitation is thermodynamically favored in the ideal concentration model, but it does not specify precipitation rate. Activities, complexation and acid-base chemistry can also alter real solubility.
PRACTICE CHALLENGE
Can you tune a test mixture to a target log₁₀(Q/Ksp) and then explain why changing common ion alters solubility without changing that test Q?
- Choose a target log₁₀(Q/Ksp), especially zero for the saturation boundary.
- Adjust the test cation and anion concentrations until the target is reached.
- Change the common-ion control while keeping test-mixture controls fixed.
- Use the inspector to explain why equilibrium solubility changes while Ksp stays constant and the independent test Q can remain unchanged.
Reveal the reasoning
The test Q is calculated from the specified test concentrations, whereas the common-ion control belongs to the separate equilibrium-solubility calculation. Ksp is the same equilibrium constant in both views. Changing common ion suppresses the amount of additional salt that can dissolve, while Q/Ksp classifies whatever test mixture was entered.
MODEL BOUNDARIES
What this simulation assumes
Every simulation simplifies reality or a mathematical system. These are the assumptions and limits to keep in mind while interpreting the results.
Model assumptions
- Dissolution is modeled for ideal MX or MX2 salts using concentration-based Ksp expressions.
- The common ion is the anion and is added without changing volume.
- Precipitation tendency is classified by comparing the ionic reaction quotient Q with Ksp.
Model limitations
- Activity coefficients, ion pairing, complex formation, acid-base coupling and kinetic barriers are omitted.
- The model does not perform mass-balance precipitation calculations after Q exceeds Ksp; it only classifies the tendency.
CONNECT IT
Where this matters
- Selective precipitation
- Water chemistry
- Qualitative inorganic analysis
- Designing separation conditions
WORDS THAT MATTER
Key vocabulary
- Ksp
- Equilibrium constant for dissolution of a sparingly soluble ionic solid.
- Molar solubility
- Moles of solid that dissolve per liter under specified equilibrium conditions.
- Common ion effect
- Suppression of dissolution when one dissolution-product ion is already present.
- Reaction quotient Q
- Current ion-product expression evaluated before requiring equilibrium.
- Saturation
- Condition where Q is approximately equal to Ksp in the ideal model.
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