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AP® Chemistry · Unit 3 · Topic 3.8

Representations of Solutions: Revision Notes (Chemistry 3.8)

One-page recap of particle diagrams of solutions: ion ratios, polyatomic ions, water orientation, molecular solutes and reading concentrations from diagrams.

Short on time? This page is the recap. For explanations, diagrams and worked examples, use the full study guide.

Recap

  • A particle diagram of a solution shows a small volume of it. It must get two things right: the relative numbers of particles (concentration) and the interactions between them.
  • Ionic solutes are drawn as separate ions in the formula ratio. Polyatomic ions (SO₄²⁻, NO₃⁻, CO₃²⁻, NH₄⁺) stay whole.
  • Molecular solutes (glucose, ethanol, methanol) stay as whole molecules.
  • Water is polar: O is δ−, H is δ+. Ion–dipole attractions make water point O towards cations and H towards anions.
  • Solutes with O–H or N–H groups form hydrogen bonds with water; nonpolar solutes in nonpolar solvents interact by London dispersion forces only.
  • Use labels, a key or distinct shapes, never colour alone.

Key relationships

Idea How it shows in a diagram
Ion ratio Counts follow the formula, e.g. Ca(NO₃)₂ → 1 Ca²⁺ : 2 NO₃⁻
Charge balance Total + charge = total − charge in the box
Concentration Particles ÷ volume represented
Dilution Same number of solute particles, larger volume
Moles from a diagram n = (number drawn) × (moles each particle stands for); then M = n ÷ V

Assumptions behind the pictures

  • Only a few water molecules are drawn; the real solution has far more.
  • The solution is homogeneous, so the box is a fair sample of the whole.
  • Ionic solutes are assumed to dissolve completely into separate ions.

Mistakes to avoid

  1. Ion pairs or lattice pieces in solution.
  2. Broken polyatomic ions, such as separate S and O atoms for sulfate.
  3. Molecular solutes drawn as ions.
  4. Water reversed around an ion.
  5. Wrong ratio or charges that do not balance.
  6. Comparing particle counts in boxes of different volumes without dividing by volume.
  7. Spending time on molality or percent by mass. They are not assessed in calculations for this course.

Quick self-check

  1. In a diagram of Na₃PO₄(aq), what is the ratio of Na⁺ to PO₄³⁻? (3 : 1; the PO₄³⁻ ion stays whole.)
  2. Which atom of water faces a Mg²⁺ ion? (Oxygen.)
  3. Box X (0.10 L) shows 5 solute particles; box Y (0.20 L) shows 8 particles of the same solute. Which is more concentrated? (X: 50 per L against 40 per L.)
  4. A box of ethanol solution is drawn with C₂H₅O⁻ and H⁺ ions. What is wrong? (Ethanol is molecular; it dissolves as whole C₂H₅OH molecules.)

Next: practice questions.

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