This mini-lesson walks you through the whole of Cambridge IGCSE Topic 2 — Thermal physics: the kinetic particle model of solids, liquids and gases, how gases create pressure, the Kelvin scale, thermal expansion, specific heat capacity and latent heat (an extension), evaporation, and the three ways thermal energy is transferred.
Make a guess: why does squashed air push back harder?
Mission 1Why does squashed air push back harder?
Mission 2Why does iron warm up more than water?
Mission 3Where does the energy go when water boils?
Mission 4Why does only the metal spoon get hot?
Work through each screen, answer the questions as you go (some are wordy, some are calculations) and collect ⭐ stars. Screens marked SUPPLEMENT are for Extended candidates (Papers 2 & 4). Press Start when you're ready.
2.1.1 States of matter
Solids, liquids and gases
The kinetic particle model pictures all matter as tiny particles in constant motion. The three states differ in how those particles are arranged, how far apart they are, and how they move:
Solids keep a fixed shape & volume; liquids keep volume but take the container's shape; gases fill the whole container.
The changes of state have names: melting (solid→liquid), boiling/evaporation (liquid→gas), condensation (gas→liquid) and solidification/freezing (liquid→solid).
Extended: the forces and distances between particles — and how fast they move — are what give each state its properties. Strong bonds & tiny gaps make a solid rigid; almost no forces & huge gaps let a gas be squashed.SUPPLEMENT
Quick check
Which state?
?In which state are the particles close together but free to slide past one another, so the substance keeps its volume but flows to fit its container?
2.1.2 Particle model
Gas pressure & Brownian motion
Gas particles fly about randomly and collide with the walls of their container. Each collision pushes on the wall; the total of countless collisions per second is what we feel as gas pressure.
Smoke specks viewed under a microscope jiggle on a random, zig-zag path — evidence that invisible air molecules are moving and hitting them.
The random motion of microscopic particles in a suspension (e.g. smoke specks in air, or pollen grains in water) is direct evidence for the kinetic particle model.
Extended: a heavy smoke speck jiggles because it is bombarded unevenly by light, fast-moving air molecules. The molecules transfer momentum in random collisions; more hits on one side knock the visible particle the other way. Use "molecules" for the gas, "microscopic particles" for the bigger visible specks.SUPPLEMENT
Watch out: gas pressure is not particles "pushing" on each other while still — it comes only from particles colliding with a surface. No collisions, no pressure.
Quick check
Where does the pressure come from?
?A sealed bottle of air sits on a table. What directly causes the gas to press outwards on the inside of the bottle?
2.1.3 Gases & the absolute scale
Temperature, volume & the Kelvin scale
For a fixed mass of gas, in terms of particles:
Heat it at constant volume → particles move faster, hit the walls harder and more often → pressure rises.
Squeeze it at constant temperature → same particles hit a smaller area more often → pressure rises.
Cool any gas down and its particles slow. At −273 °C they have the least kinetic energy possible — this is absolute zero, the start of the Kelvin scale.
T (in K) = θ (in °C) + 273kelvin = degrees Celsius + 273 · e.g. 27 °C = 300 K
pV = constant SUPPLEMENTfor a fixed mass of gas at constant temperature: p₁V₁ = p₂V₂
Watch out: in any gas-law calculation you must use temperature in kelvin, never °C — at constant volume, pressure is proportional to the absolute temperature, so p ∝ T only works with Kelvin.
Calculate
Your turn — °C to kelvin
1A laboratory is at 22 °C. Convert this temperature into kelvin.
K
Hint: T = θ + 273.
Calculate · SUPPLEMENT
Your turn — squeezing a gas
2A fixed mass of gas has a volume of 600 cm³ at a pressure of 100 kPa. It is slowly compressed to 200 cm³ at constant temperature. Calculate the new pressure. (Use pV = constant.)
kPa
Hint: p₁V₁ = p₂V₂ → p₂ = (100 × 600) ÷ 200.
Mission 1 check
Why does squashed air push back harder?
?A heavy box is placed slowly on a sealed football. The ball's volume falls, but the temperature of the air inside stays the same. Why does the air pressure inside rise?
Mission 2 of 4
Why does iron warm up more than water?
Make a guess: why does iron warm up more than water?
2.2.1 Thermal expansion
Heating makes things expand
When a solid, liquid or gas is heated at constant pressure, its particles vibrate/move more vigorously and push a little further apart, so the material expands.
The size of the expansion follows the order gases > liquids > solids. Everyday examples and consequences:
Bimetallic strips bend when heated — used in thermostats and fire alarms.
Expansion gaps in bridges and railway lines stop them buckling in summer.
Liquid-in-glass thermometers work because the liquid expands up the tube.
Extended: the order solids < liquids < gases follows from particle spacing & forces. In a solid, strong bonds resist separation, so expansion is tiny; in a gas, the particles are already far apart with almost no forces, so the same heating causes a much larger expansion.SUPPLEMENT
Quick check
Reading expansion
?Heated by the same temperature rise at constant pressure, which state of matter expands the most?
2.2.2 Specific heat capacity
Specific heat capacity
Raising an object's temperature increases its internal energy, because the average kinetic energy of its particles increases. How much energy that takes depends on the material's specific heat capacity, c:
c = ΔE ÷ (m Δθ) ⟶ ΔE = m c Δθenergy (J) = mass (kg) × specific heat capacity (J/(kg °C)) × temperature change (°C)
The specific heat capacity is the energy needed per unit mass per unit temperature rise. Water's is high (4200 J/(kg °C)), so it is slow to heat and slow to cool.SUPPLEMENT
Experiment: heat a known mass of a metal block (or liquid) with an electric immersion heater. Measure the energy supplied and the temperature rise, then c = ΔE ÷ (m Δθ). Lagging the block reduces heat lost to the surroundings.
Worked example
Heating 0.5 kg of water (c = 4200) by 20 °C:
ΔE = 0.5 × 4200 × 20 = 42 000 J (42 kJ)
Calculate
Your turn — heating a metal block
3How much energy is needed to raise the temperature of a 2 kg aluminium block (c = 900 J/(kg °C)) by 30 °C?
J
Hint: ΔE = m c Δθ = 2 × 900 × 30.
Mission 2 check
Why does iron warm up more than water?
?A student gives 1 kg of cooking oil and 1 kg of water the same amount of energy. The oil's temperature rises by twice as much. What is the best explanation?
Mission 3 of 4
Where does the energy go when water boils?
Make a guess: where does the energy go when water boils?
2.2.3 Melting & boiling
Changes of state & the heating curve
While a substance changes state, the energy you put in still raises its internal energy, but it goes into breaking the bonds between particles, not into making them move faster — so the temperature stays constant on the flat plateaus below.
Water: temperature climbs as it warms, but stays flat at 0 °C while it melts and at 100 °C while it boils (at standard atmospheric pressure).
Extension (not in the 0625 syllabus): the energy absorbed or released during a change of state, with no temperature change, is the latent heat. The specific latent heat L is the energy per kilogram:
E = m Lenergy (J) = mass (kg) × specific latent heat (J/kg) · fusion (melting) or vaporisation (boiling)
Condensation (gas→liquid) and solidification (liquid→solid) are the reverse: particles slow, form bonds and release this latent heat.
Watch out: on the flat parts of the curve the substance is still being heated, but the temperature does not rise — the energy is breaking inter-particle bonds, not raising kinetic energy. "No temperature change" does not mean "no energy in".
Calculate · extension
Your turn — melting ice
4The specific latent heat of fusion of ice is 340 000 J/kg. How much energy is needed to melt 0.2 kg of ice already at 0 °C?
J
Hint: E = m L = 0.2 × 340 000.
Mission 3 check
Where does the energy go when water boils?
?Liquid nitrogen boils in an open flask. It keeps taking in energy from the room, yet its temperature stays at −196 °C until it has all boiled away. Where is that energy going?
2.2.3 Evaporation & cooling
Evaporation cools a liquid
Evaporation happens at the surface of a liquid at any temperature: the most energetic particles escape into the air. Boiling, in contrast, happens throughout the liquid at one fixed temperature.
Because the fastest particles leave, the average kinetic energy of those remaining drops — so the liquid (and anything touching it) cools down. This is why sweating cools you and why a wet swimmer feels cold in a breeze.
Extended: evaporation is faster with higher temperature, larger surface area, and more air movement over the surface (which sweeps escaped particles away). An object in contact with an evaporating liquid cools because the liquid takes the energy needed to evaporate from that object.SUPPLEMENT
Quick check
Why does sweat cool you?
?Why does sweating help cool your body down?
Mission 4 of 4
Why does only the metal spoon get hot?
Make a guess: how did the heat reach the metal spoon's handle?
2.3 Transfer of thermal energy
Three ways thermal energy moves
Thermal energy always flows from hotter to cooler. There are three transfer methods:
Conduction through solids · convection currents in fluids · radiation as infra-red waves (the only one that crosses a vacuum).
Conduction: energy passes along solids. SUPPLEMENT in all solids by atomic/molecular lattice vibrations; in metals also by fast-moving free (delocalised) electrons — which is why metals are by far the best conductors. Gases and most liquids conduct poorly (particles far apart).
Convection: heated fluid expands, becomes less dense, rises; cooler dense fluid sinks to replace it — a convection (density) current. Only in liquids and gases.
Radiation: all objects emit infra-red radiation; it needs no medium (it reaches us from the Sun through empty space).
2.3.3 Radiation & surfaces
Good absorbers are good emitters
A surface's colour and texture control how it handles infra-red radiation:
Dull black surfaces are the best absorbers and the best emitters.
Shiny white / silvery surfaces are the best reflectors — and the worst absorbers/emitters.
Watch out: a good absorber is always an equally good emitter — they are not opposites. A matte black radiator radiates heat well and would soak it up well; a shiny kettle keeps its drink warm by emitting little.
Extended: for an object to stay at a constant temperature it must emit energy at the same rate it absorbs it. If it receives more than it emits, it warms up; if it emits more than it receives, it cools. The rate of emission increases with higher surface temperature and larger surface area. This balance of incoming vs outgoing radiation also controls the temperature of the Earth.SUPPLEMENT
Everyday applications draw on more than one method: a kitchen pan conducts heat to the food; a room is heated by convection; SUPPLEMENT a wood fire and a car radiator combine conduction, convection and radiation.
Quick check
Choosing a surface
?You want a metal container that loses thermal energy as slowly as possible by radiation. Which surface should it have?
Match them up
Match the situation to the transfer
Tap a situation on the left, then its main transfer method on the right.
Sort it
Name the transfer
Tap the main way thermal energy is transferred in each case.
Mission 4 check
Why does only the metal spoon get hot?
?A camper rests one end of a metal tent peg in a campfire. Soon the other end is too hot to touch. How did the thermal energy mainly get there?
Recap
The equations to know
Celsius → kelvin: T (K) = θ (°C) + 273
Gas law (Supplement): pV = constant (fixed mass, constant T)
Specific heat capacity (Supplement): c = ΔE ÷ (m Δθ) → ΔE = m c Δθ
Latent heat (extension, not in the syllabus): E = m L (fusion or vaporisation)
Absolute zero: 0 K = −273 °C (least particle KE)
You've covered the key ideas across the three parts of Cambridge IGCSE Topic 2 — the kinetic particle model, thermal properties & temperature, and the transfer of thermal energy. Press Finish to see your score.
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Mini-lesson complete!
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You've worked through Thermal Physics for Cambridge IGCSE Physics. 🎉