Revision notes · Particle model of matter

Changes of state and the particle model

Density of materials4.3.1.1

Definition: Density is the mass per unit volume of a material.
EquationUnits
ρ = m ÷ Vρ (density) in kg/m³, m (mass) in kg, V (volume) in m³
Density equation
  • Required practical — regular solid: measure mass on a balance; measure length/width/height with a ruler (or diameter with callipers for a cylinder) and calculate the volume from the shape's formula; density = mass ÷ volume.
  • Required practical — irregular solid: measure mass on a balance; find the volume by displacement — lower the object into a eureka can filled to the spout with water, and the volume of water collected in a measuring cylinder equals the object's volume.
Density of an irregular solid — required practical

Density depends on how closely packed the particles of a material are. In solids and liquids, particles are closely packed with little space between them, so solids and liquids have similar densities (usually a liquid is slightly less dense than the same substance as a solid, though water is a well-known exception — ice is less dense than liquid water). In a gas, particles are spread much further apart and have much more energy to move around, so gases have a far lower density than solids or liquids of the same substance.

🧠 Remember: When a substance changes state, its mass stays the same — only its volume (and therefore density) changes, because the same particles simply become more or less spread out.

Changes of state4.3.1.2

Definition: A change of state (e.g. melting, freezing, evaporating, condensing, sublimating) is a physical change, not a chemical change — the material recovers all of its original properties if the change is reversed.
ChangeFrom → to
MeltingSolid → liquid
FreezingLiquid → solid
Evaporating / boilingLiquid → gas
CondensingGas → liquid
SublimationSolid → gas directly (e.g. solid carbon dioxide, 'dry ice')
Changes of state
Particle arrangement in solids, liquids and gases

Mass is conserved during a change of state — if 20 g of liquid evaporates, the gas produced also has a mass of 20 g. No particles are created or destroyed, they simply rearrange and change how far apart they are.

⚠️ Common mistake: Describing melting, evaporating etc. as chemical changes — they are physical changes: no new substance is formed, and the material's original properties return fully if the change is reversed (e.g. freezing water back into ice).

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