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Grade 9 Science · Unit 5: Motion, density and orbits

Density and the particle model

Calculate density and explain differences between solids, liquids and gases with particles.

Density is mass per unit volume: ρ = m ÷ V, measured in kg/m³ or g/cm³. Water has a density of 1 g/cm³ (1000 kg/m³). Objects less dense than water float, and denser objects sink. The particle model explains density: in solids particles are closely packed, so most solids are dense; in gases particles are far apart, so gases have very low density.

To find the density of a regular solid, measure its mass on a balance and calculate its volume from its dimensions. For an irregular object, use displacement: lower it into a measuring cylinder or a eureka can and measure the volume of water pushed out. Changes of state are physical changes: mass is conserved and the material recovers its properties if the change is reversed.

Worked example

A stone of mass 60 g displaces 20 cm³ of water. What is its density?

  1. Volume of stone = volume of water displaced = 20 cm³.
  2. ρ = m ÷ V = 60 ÷ 20.

Answer:Density = 3 g/cm³.

Key words

density
mass per unit volume
displacement
finding volume from the water pushed aside
eureka can
a can with a spout for measuring displaced water
kg/m³
the SI unit of density
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NGSS-referenced: HS-PS1-3