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?
- Volume of stone = volume of water displaced = 20 cm³.
- 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
New questions every time.
NGSS-referenced: HS-PS1-3