The particle model and density - OCR GatewaySolids, liquids and gases

Matter is made up of atoms about 0.1 nm in size. Atoms and molecules are arranged differently in solids, liquid and gases. Density is calculated from mass divided by volume.

Part of Combined ScienceMatter

Solids, liquids and gases

All consists of including and . The arrangement and movement of these particles differ between the different of matter:

  • solids - particles are close together in a regular structure and vibrate about fixed positions
  • liquids - particles are close together but free to move past each other randomly
  • gases - particles are far apart and move randomly in all directions

The of a substance changes when it changes state. Its does not change. This is because its particles do not disappear - they are just rearranged and occupy a different .

Solid cube: side length 1 unit, 64 particles in tightly packed lattice. Liquid cube: 1 unit, contains approx 30 particles. Gas cube: side length 10 units contains 15 scattered particles.

Solids and liquids

A substance melts when it changes from the solid state to the liquid state. Its particles remain close together, so there is usually a relatively small change in volume and density. For example:

  • the density of solid iron is about 7,870 kg/m3
  • the density of liquid iron is about 6,980 kg/m3

Example 1

Calculate the volume of 1,000 kg of iron in the solid state.

Rearrange the equation:

\(density = \frac{mass}{volume}\)

\(volume = \frac{mass}{density}\)

\(volume = \frac{1,000}{7,870}\)

\(= 0.127~m^3\)

Example 2

Calculate the volume of 1,000 kg of iron in the liquid state.

\(volume = \frac{1,000}{6,980}\)

\(0.143~m^3\)

Iron in the liquid state occupies a greater volume than the same mass of iron in the solid state. Iron atoms are further apart in liquid iron.

Liquids and gases

A substance evaporates or boils when it changes from the liquid state to the gas state. Its particles move so there is a large change in volume and density. For example:

  • the density of liquid oxygen is about 1,140 kg/m3
  • the density of gaseous oxygen is about 1.42 kg/m3

Example 3

Calculate the mass of oxygen that occupies 0.250 m3 in the liquid state.

Rearrange the equation:

\(density = \frac{mass}{volume}\)

\(mass = density \times volume\)

\(mass = 1,140 \times 0.250\)

\(= 285~kg\)

Example 4

Calculate the mass of oxygen that occupies 0.250 m3 in the gas state.

mass = density × volume

= 1.42 × 0.250

= 0.355 kg

Oxygen in the gas state has a much smaller mass than the same volume of oxygen in the liquid state. Oxygen molecules are much further apart in gaseous oxygen, so they occupy a much larger volume.