1.Lesson overview

Syllabus focus
Cambridge IGCSE syllabus reference
  • 1.1 Solids, liquids and gases
  • 1.2 Diffusion
Edexcel IGCSE syllabus reference
  • 1(a) States of matter
AQA IGCSE syllabus reference
  • 1.1 Solids, liquids and gases
By the end of this lesson you should be able to
  • State the distinguishing properties of solids, liquids and gases.
  • Describe the structures of solids, liquids and gases in terms of particle separation, arrangement and motion.
  • Describe changes of state in terms of melting, boiling, evaporating, freezing and condensing.
  • Describe and explain the effects of temperature and pressure on the volume of a gas, in terms of kinetic particle theory.
  • Explain changes of state in terms of kinetic particle theory, including the interpretation of heating and cooling curves.
  • Describe and explain diffusion in terms of kinetic particle theory.
  • Describe and explain the effect of relative molecular mass on the rate of diffusion of gases.

Chemistry begins with a single idea: all matter is made of particles in constant motion. This is the kinetic particle theory, and almost everything in the first half of this course is an application of it.

Once you accept that particles are always moving, and that they attract one another, the three states of matter, every change of state, the behaviour of gases under pressure and the process of diffusion all follow as consequences. This chapter derives each of them.

How this chapter fits together
  • Section 2 sets out the kinetic particle theory itself.
  • Section 3 compares the three states in terms of separation, arrangement and motion.
  • Sections 4–5 cover changes of state and the heating and cooling curves.
  • Section 6 covers the effect of temperature and pressure on gas volume.
  • Sections 7–8 cover diffusion and the effect of relative molecular mass.
  • Sections 9–11 consolidate with worked examples, misconceptions and a summary.

2.The Kinetic Particle Theory

The theory in four statements
  1. 1
    All matter is made up of tiny particles — atoms, molecules or ions.
  2. 2
    These particles are in constant motion. The higher the temperature, the greater their kinetic energy and the faster they move.
  3. 3
    There are forces of attraction between the particles. The closer together they are, the stronger the effect of these forces.
  4. 4
    The state of a substance depends on the balance between the kinetic energy of its particles and the forces of attraction holding them together.
Why the fourth statement does the work

The first three statements are descriptive; the fourth is the one that explains things. A substance is a solid when the forces of attraction dominate and the particles cannot escape their positions. It is a gas when the particles have so much kinetic energy that the forces of attraction are effectively overcome.

Heating a substance adds energy to the particles. Every change of state in this chapter is that competition tipping one way or the other, and framing your answers in those terms — energy versus forces of attraction — is what turns a description into an explanation.

A sequence showing solid melting to liquid and then boiling to gas
  1. 1
    Solid
    particles vibrate in fixed places
  2. 2
    Liquid
    energy overcomes
    some attractions
  3. 3
    Gas
    particles escape and spread out

Heating gives particles more kinetic energy. A solid melts when particles can move past one another; a liquid boils when particles can escape into the gas state.

3.The Three States of Matter

The three states compared
Solid
fixed shape, fixed volume
Particles are very close together in a regular arrangement. They vibrate about fixed positions but cannot move past one another. Forces of attraction are strong.
Liquid
fixed volume, takes container's shape
Particles are close together but randomly arranged. They can move past one another, so the liquid flows. Forces of attraction are weaker than in a solid.
Gas
no fixed shape or volume
Particles are far apart and randomly arranged. They move quickly in all directions. Forces of attraction are negligible.
Properties of the three states
PropertySolidLiquidGas
SeparationVery close togetherClose togetherFar apart
ArrangementRegular, orderedRandomRandom
MotionVibrate about fixed positionsMove past one anotherMove quickly in all directions
Forces of attractionStrongWeakerNegligible
ShapeFixedTakes the shape of the containerFills the container
VolumeFixedFixedNo fixed volume — fills the container
Compressible?Almost not at allAlmost not at allEasily compressed
DensityHighHighVery low
Two properties that follow directly from separation

Compressibility. A gas can be compressed because there is a great deal of empty space between the particles, which can be reduced. In a solid or liquid the particles are already touching, so there is almost no space to remove — which is why they are nearly incompressible.

Density. A gas has a very low density because the same number of particles occupies a far larger volume. This is why the same substance is always least dense as a gas.

Note that a liquid has a fixed volume but no fixed shape. This trips candidates up: the particles are still touching, so the volume cannot change, but they can slide past one another, so the shape can.

4.Changes of State

Particles drawn as a regular lattice in a solid, close and disordered in a liquid and widely spaced in a gas, joined by a loop of arrows: melting and boiling take energy in, freezing and condensing give energy out.
Figure 1: Heating separates the particles and cooling lets the forces pull them back together, so each change of state is a change in the energy the particles have.
The five changes of state
  1. 1
    solid → liquid
    Melting
    Energy is supplied. Particles vibrate more until they have enough energy to overcome some of the forces of attraction and break out of their fixed positions.
  2. 2
    liquid → gas
    Boiling
    Energy is supplied. Particles gain enough energy to overcome the forces of attraction completely and escape from the liquid. Occurs throughout the liquid at the boiling point.
  3. 3
    liquid → gas
    Evaporating
    Only the most energetic particles at the surface escape. Occurs at any temperature below the boiling point, and only at the surface.
  4. 4
    gas → liquid
    Condensing
    Energy is removed. Particles slow down until the forces of attraction pull them together into a liquid.
  5. 5
    liquid → solid
    Freezing
    Energy is removed. Particles slow further until the forces of attraction hold them in fixed positions in a regular arrangement.
Boiling and evaporation are not the same
BoilingEvaporation
Occurs atOne fixed temperature — the boiling pointAny temperature below the boiling point
Occurs whereThroughout the liquid — bubbles form inside itOnly at the surface
Which particles escapeParticles throughout the bulkOnly the most energetic particles at the surface
SpeedRapidSlow

Evaporation also explains why a liquid cools as it evaporates. The most energetic particles are the ones that leave, so the average kinetic energy of those remaining falls — and average kinetic energy is what temperature measures. This is exactly why sweating cools the body.

5.Heating and Cooling Curves

A heating curve plots temperature against time as a substance is heated steadily from solid to gas. Its most striking feature is the two flat sections, where energy is being supplied but the temperature does not rise.

Reading a heating curve, section by section
  1. 1
    Solid warming
    Sloping
    Energy increases the kinetic energy of the particles, so they vibrate faster and the temperature rises.
  2. 2
    Melting
    Flat
    Temperature stays constant at the melting point. Energy is used to overcome forces of attraction between particles, not to raise their kinetic energy.
  3. 3
    Liquid warming
    Sloping
    Energy again increases kinetic energy, so the temperature rises.
  4. 4
    Boiling
    Flat
    Temperature stays constant at the boiling point. Energy is used to overcome the remaining forces of attraction completely.
  5. 5
    Gas warming
    Sloping
    Energy increases the kinetic energy of the gas particles, so the temperature rises again.
Why the flat sections are the examined part

The question 'energy is being supplied, so why does the temperature not rise?' is the point of the whole graph. The answer is that temperature measures the average kinetic energy of the particles. During a change of state, the energy supplied is used to overcome the forces of attraction between particles rather than to make them move faster — so kinetic energy, and therefore temperature, stays constant.

A cooling curve is the same graph in reverse: sloping sections where the temperature falls, and flat sections at the freezing point and condensation point where energy is released as forces of attraction form. Note that the flat section for a pure substance is perfectly horizontal and occurs at a sharp temperature — an impure substance melts over a range, which is the basis of the purity test later in the course.

6.Temperature, Pressure and the Volume of a Gas

Increasing the temperature
  1. 1
    The particles gain kinetic energy and move faster.
  2. 2
    They collide with the container walls more frequently and with greater force.
  3. 3
    If the container can expand, the gas volume increases; if it cannot, the pressure increases instead.
Increasing the pressure
  1. 1
    Pressure is increased by pushing the walls of the container inwards.
  2. 2
    The particles are forced closer together, so the volume decreases.
  3. 3
    This is possible because there is a great deal of empty space between gas particles.
  4. 4
    The particles now hit the walls more frequently, because they travel a shorter distance between collisions.
Getting the reasoning the right way round

Gas pressure is caused by particles colliding with the container walls. Anything that makes those collisions more frequent or more forceful increases the pressure.

Be careful with two frequent errors. First, the particles themselves do not expand when heated — they move faster and spread further apart, but each particle is unchanged. Second, a gas is compressible because of the space between particles, not because the particles are squashed.

7.Diffusion

Definition
Diffusion
The net movement of particles from a region of higher concentration to a region of lower concentration, as a result of their random motion.
Explaining diffusion by kinetic particle theory
  1. 1
    Particles are in constant random motion and possess kinetic energy.
  2. 2
    They move in all directions and collide with one another, changing direction constantly.
  3. 3
    Where particles are more concentrated, more of them happen to move away from that region than towards it.
  4. 4
    The result is a net movement down the concentration gradient, until the particles are evenly distributed.
  5. 5
    Movement continues after that, but equal numbers move each way, so there is no further net change.

No particle is being pushed or directed. The word net is essential: diffusion is a statistical consequence of random motion, not a force acting on the particles.

Diffusion is fastest in gases

Diffusion occurs in gases and liquids but effectively not in solids, and this follows directly from the table in Section 3. In a gas the particles are far apart and move quickly, so they spread rapidly. In a liquid they are close together and collide constantly, so diffusion is much slower. In a solid the particles only vibrate about fixed positions and cannot move past one another at all.

Raising the temperature speeds diffusion up in both gases and liquids, because the particles gain kinetic energy and move faster.

Two classic diffusion demonstrations

Bromine and air. A gas jar of orange-brown bromine vapour is placed below a gas jar of air, with a glass cover slid out from between them. Bromine is denser than air, yet the colour is seen to spread upwards into the top jar until both jars are a uniform pale orange. This shows that diffusion is a result of the random motion of particles, not of density or gravity — a denser gas still diffuses against a lighter one because each particle moves independently and randomly.

Potassium manganate(VII) and water. A small crystal of purple potassium manganate(VII) is dropped into a beaker of still water. Without any stirring, purple colour spreads out from the crystal, and over time the whole beaker becomes a uniform pale purple (dilute) solution. This is diffusion in a liquid: particles of manganate(VII) ion move randomly from the region of high concentration around the dissolving crystal to regions of lower concentration, gradually diluting the colour throughout the water. The same particle-level explanation — net movement down a concentration gradient — accounts for how a concentrated coloured solution becomes dilute even with no mixing.

8.Relative Molecular Mass and the Rate of Diffusion

The relationship

The lower the relative molecular mass, the faster a gas diffuses.

  1. 1
    At a given temperature, all gas particles have the same average kinetic energy.
  2. 2
    Kinetic energy depends on both mass and speed.
  3. 3
    A particle with a smaller mass must therefore be moving faster to have the same kinetic energy as a heavier one.
  4. 4
    Faster-moving particles spread out more quickly, so lighter gases diffuse faster.
A horizontal glass tube plugged with cotton wool, soaked in concentrated ammonia at the left end and concentrated hydrochloric acid at the right; NH₃ moves right and HCl left, and a white ring of NH₄Cl forms 35.7 cm from the ammonia end and 24.3 cm from the acid end.
Figure 2: The lighter ammonia travels further in the same time, so the white ring forms nearer the hydrochloric acid end.
The classic demonstration

Cotton wool soaked in concentrated ammonia solution is placed at one end of a long glass tube, and cotton wool soaked in concentrated hydrochloric acid at the other. Both give off gases, which diffuse along the tube and react to form a white ring of ammonium chloride:

The reaction
  1. 1
    Ammonia, , has .
  2. 2
    Hydrogen chloride, , has .
  3. 3
    Ammonia has the lower relative molecular mass, so its molecules move faster and it diffuses more quickly.
  4. 4
    The white ring therefore forms nearer the hydrochloric acid end, because the ammonia has travelled further in the same time.

Predicting where the ring forms, and justifying it with the two values, is the standard exam question. The ring is never in the middle.

9.Exam-Style Worked Examples

Worked example 1 — heating curve (5 marks)

Question. A solid is heated steadily. The temperature rises, then stays constant for four minutes, then rises again. Explain, in terms of particles, what is happening during the flat section.

  1. 1
    During the flat section the substance is melting, changing from solid to liquid.
  2. 2
    Energy is still being supplied throughout.
  3. 3
    This energy is used to overcome the forces of attraction between the particles, allowing them to break out of their fixed positions.
  4. 4
    It is not used to increase the kinetic energy of the particles.
  5. 5
    Temperature measures the average kinetic energy of the particles, so the temperature stays constant until melting is complete.

Marking. 1 mark per point. The final point is the crux — without linking temperature to average kinetic energy, the answer describes the graph rather than explaining it.

Worked example 2 — diffusion and molecular mass (5 marks)

Question. In a glass tube, cotton wool soaked in ammonia is at one end and cotton wool soaked in hydrochloric acid at the other. A white ring forms from the ammonia end. (a) Explain why the ring is not in the middle. (b) Predict what would happen if the hydrogen chloride were replaced by a gas of .

  1. 1
    (a) Ammonia, , has ; hydrogen chloride, , has .
  2. 2
    At the same temperature both gases have the same average kinetic energy, so the lighter ammonia molecules must move faster.
  3. 3
    Ammonia therefore diffuses more quickly and travels further before the gases meet, so the ring forms nearer the hydrochloric acid end.
  4. 4
    (b) A gas of is heavier still, so it would diffuse even more slowly.
  5. 5
    The ammonia would travel further before meeting it, so the ring would form even closer to that end of the tube.

Marking. 1 mark per point. Quoting both values and linking them through equal kinetic energy is what earns the explanation marks — 'ammonia is lighter so it is faster' alone scores 1.

Worked example 3 — states and properties (4 marks)

Question. Explain, in terms of particles, why a gas can be compressed easily but a liquid cannot, and why a liquid has a fixed volume but no fixed shape.

  1. 1
    In a gas the particles are far apart, with a great deal of empty space between them, which can be reduced — so a gas is easily compressed.
  2. 2
    In a liquid the particles are already close together and touching, so there is almost no space to remove and it cannot be compressed.
  3. 3
    Because the particles in a liquid are touching and cannot be pushed closer, the volume is fixed.
  4. 4
    However, they are randomly arranged and can move past one another, so the liquid flows and takes the shape of its container.

Marking. 1 mark per point. The fixed-volume-but-not-shape distinction depends on separating can the particles be pushed closer from can they move past one another.

Worked example 4 — gas pressure (4 marks)

Question. A sealed rigid container of gas is heated. Explain what happens to the pressure inside it.

  1. 1
    Heating gives the gas particles more kinetic energy, so they move faster.
  2. 2
    They collide with the container walls more frequently.
  3. 3
    They also collide with greater force.
  4. 4
    Since the container is rigid the volume cannot increase, so the pressure increases instead.

Marking. 1 mark per point. Both more frequently and with greater force are needed; and note the particles themselves do not expand.

10.Exam Tips & Common Misconceptions

Exam tips
  • Describe states using all three of separation, arrangement and motion.
  • Explain changes of state as energy overcoming forces of attraction, not as particles 'breaking'.
  • For a flat section on a heating curve, state that temperature measures average kinetic energy.
  • Distinguish boiling (throughout, at a fixed temperature) from evaporation (surface only, any temperature).
  • Explain gas pressure by collisions with the container walls — frequency and force.
  • Use the word net when defining diffusion.
  • For diffusion rates, quote both values and link them through equal average kinetic energy.
  • Remember lighter gas diffuses further, so the ring forms nearer the heavier gas's end.
Common misconceptions
  • Common misconception: particles expand when heated. They move faster and spread apart; each particle is unchanged.
  • Common misconception: a gas is compressible because the particles squash. It is because of the empty space between them.
  • Common misconception: temperature stops rising during melting because heating has stopped. Energy is still supplied but is used to overcome forces of attraction.
  • Common misconception: boiling and evaporation are the same. Boiling occurs throughout at a fixed temperature; evaporation occurs at the surface at any temperature.
  • Common misconception: particles in a solid do not move. They vibrate about fixed positions.
  • Common misconception: in diffusion particles deliberately move to where there are fewer. Motion is random; the net flow is statistical.
  • Common misconception: heavier gases diffuse faster because they have more energy. All gases have the same average kinetic energy at a given temperature, so heavier particles move slower.
  • Common misconception: a liquid has no fixed volume. It has a fixed volume but no fixed shape.

11.Summary

Chapter summary
  • Kinetic particle theory: matter is made of particles in constant motion, with forces of attraction between them. The state depends on the balance between kinetic energy and those forces.
  • Solid: particles very close, regular arrangement, vibrating about fixed positions. Fixed shape and volume.
  • Liquid: particles close, random arrangement, moving past one another. Fixed volume, no fixed shape.
  • Gas: particles far apart, random, moving quickly in all directions. No fixed shape or volume; easily compressed; low density.
  • Melting and boiling require energy to overcome forces of attraction; condensing and freezing release energy as those forces re-form.
  • Evaporation occurs at the surface at any temperature, as the most energetic particles escape — which is why it cools the remaining liquid.
  • On a heating curve, flat sections occur at the melting and boiling points, where energy overcomes forces of attraction rather than raising average kinetic energy, so the temperature stays constant.
  • Increasing temperature makes gas particles move faster, colliding more often and harder; increasing pressure pushes them closer, reducing the volume.
  • Diffusion is the net movement of particles from higher to lower concentration, resulting from random motion. Fastest in gases, slower in liquids, negligible in solids.
  • The lower the relative molecular mass, the faster a gas diffuses, because lighter particles move faster at the same average kinetic energy.