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How to Calculate Solubility Product

What is Solubility Product?

Solubility product (K_sp) = [cation]ⁿ[anion]ᵐ at equilibrium; determines whether precipitate forms when ions mixed.

Step-by-Step Guide

  1. 1Input K_sp and ion concentrations
  2. 2Calculate Q (reaction quotient)
  3. 3Determine if precipitate forms (Q > K_sp)

Worked Examples

Input
AgCl: K_sp = 1.8×10⁻¹⁰, [Ag⁺] = [Cl⁻] = 10⁻⁵ M
Result
Q = 10⁻¹⁰ = K_sp (at equilibrium, no ppt)

Common Mistakes to Avoid

  • Confusing K_sp with solubility (different units)
  • Not accounting for common ion effect

Frequently Asked Questions

How do you calculate solubility from K_sp?

For AgX: s = √K_sp; for AgX₂: s = ∛(K_sp/4); depends on stoichiometry.

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