Syllabus coverage
- Know the distinguishing properties of solids, liquids and gases, and know the terms for the changes in state between solids, liquids and gases (gas to solid and solid to gas transfers are not required)
- Describe the particle structure of solids, liquids and gases in terms of the arrangement, separation and motion of the particles and represent these states using simple particle diagrams
- Describe the relationship between the motion of particles and temperature, including the idea that there is a lowest possible temperature (-273 °C), known as absolute zero, where the particles have least kinetic energy
- Know that the forces and distances between particles (atoms, molecules, ions and electrons) and the motion of the particles affects the properties of solids, liquids and gases
- Describe the pressure and the changes in pressure of a gas in terms of the motion of its particles and their collisions with a surface, and in terms of the forces exerted by particles colliding with surfaces, creating a force per unit area
- Know that the random motion of microscopic particles in a suspension is evidence for the kinetic particle model of matter, and describe and explain this motion (sometimes known as Brownian motion) in terms of random collisions between the microscopic particles in a suspension and the particles of the gas or liquid
- Know that microscopic particles may be moved by collisions with light fast-moving molecules, and correctly use the terms atoms or molecules as distinct from microscopic particles
- Describe qualitatively, in terms of particles, the effect on the pressure of a fixed mass of gas of a change of temperature at constant volume and a change of volume at constant temperature
- Convert temperatures between kelvin and degrees Celsius; recall and use the equation T (in K) = theta (in °C) + 273
- Recall and use the equation pV = constant for a fixed mass of gas at constant temperature, including a graphical representation of this relationship
Part of the IGCSE Physics syllabus 0625.
The three states of matter and the changes between them
A solid has a fixed shape and a fixed volume. A liquid has a fixed volume but takes the shape of whatever container it is poured into. A gas has neither a fixed shape nor a fixed volume - it spreads out to fill its container, and unlike a solid or a liquid it can easily be squeezed into a smaller space.
The kinetic particle model explains all of this by treating every substance as a collection of tiny particles in constant motion. In a solid the particles are held in fixed positions by strong forces between them, so they can only vibrate about those positions, which is why a solid keeps its shape. In a liquid the forces are strong enough to keep the particles close together but not strong enough to pin them down, so the particles can slide past one another and the liquid flows while keeping a fixed volume. In a gas the forces between the particles are negligible, so they are free to move quickly and randomly and to fill any container.
Heating a substance can change its state. Learn the four terms the syllabus asks for: melting is solid to liquid, boiling or evaporating is liquid to gas, condensing is gas to liquid, and freezing is liquid to solid. During a change of state the temperature does not change even though energy is being supplied, because the energy is used to break the forces holding the particles together rather than to speed the particles up.
| State | Arrangement of particles | Separation of particles | Motion of particles |
|---|---|---|---|
| Solid | Closely packed in a regular, orderly arrangement | Particles almost touching, with no room to move closer | Vibrate about fixed positions; they cannot move from place to place |
| Liquid | Close together but in a random, irregular arrangement | Particles almost touching but with small gaps that keep changing | Move at random and slide past one another throughout the liquid |
| Gas | Far apart and completely random | Large empty gaps between the particles, many times their own diameter | Move quickly and randomly in all directions, with negligible forces between them |
Forces and distances between particles: why the states behave differently
The properties of a substance depend on two things: how far apart its particles are and how strongly they attract one another. In a solid the particles are very close together and the forces between them are strong, so the structure is rigid and cannot easily be compressed. In a gas the particles are far apart and the forces are negligible, so the gas is easy to compress and expands to fill any container it is put into.
The particles themselves may be atoms, molecules, ions or electrons, depending on the substance. In a metal the particles include free electrons moving between positive ions; in an ionic compound such as sodium chloride the lattice is built from ions; in water the particles are molecules. The model works the same way whatever the particles are: the stronger the forces between them and the closer they are, the more fixed the structure.
Temperature matters because it changes the motion. The higher the temperature, the faster the particles move and the more their motion can overcome the forces holding them together. Heat a solid enough and the vibration becomes strong enough to break the regular arrangement, so it melts. Heat a liquid enough and the fastest particles escape from the surface, so it boils and the particles fly apart into the gas state.
- Solids: particles close together, strong forces between them, fixed arrangement, vibration only.
- Liquids: particles close together, forces strong enough to hold them together but not to fix them, so they slide.
- Gases: particles far apart, forces between them negligible, free random motion in all directions.
Temperature, particle motion and the kelvin scale
Temperature is a measure of the average kinetic energy of the particles of a substance. The higher the temperature, the faster the particles move and the greater their average kinetic energy. This is why heating a gas makes its particles move faster, and why cooling a gas slows them down.
There is a limit to how far a substance can be cooled. At absolute zero the particles have the least kinetic energy it is possible for them to have. Absolute zero is a temperature of -273 °C, which is written as 0 K on the kelvin scale. The kelvin is the SI unit of temperature, and its steps are exactly the same size as the steps of the Celsius scale, so a change of 1 K is the same as a change of 1 °C. The scales differ only in where they start.
To convert between the two scales, use T (in K) = theta (in °C) + 273. So 0 °C is 273 K, 100 °C is 373 K and a room at 27 °C is at 300 K. To go the other way, subtract 273: theta (in °C) = T (in K) - 273, so 200 K is -73 °C. Notice that a temperature in kelvin can never be negative, because 0 K is the lowest temperature there is.
| Temperature on the Celsius scale | Temperature on the kelvin scale |
|---|---|
| -273 °C (absolute zero) | 0 K |
| 0 °C (ice point) | 273 K |
| 27 °C (room temperature) | 300 K |
| 100 °C (steam point) | 373 K |
Brownian motion: evidence for the particle model
You cannot see the molecules of a gas or a liquid directly, but you can see the effect they have. If you look down a microscope at smoke particles floating in air, or at tiny pollen grains suspended in water, they move in a continuous random zigzag path instead of drifting smoothly. This is Brownian motion, and it is strong evidence for the kinetic particle model of matter.
The explanation is that the microscopic particle you can see is much larger than the atoms or molecules around it. The molecules of the gas or liquid are far smaller and move very fast, and they bombard the microscopic particle from every side. Because the collisions are random and uneven - at any instant more molecules happen to hit one side than another - the net force on the particle keeps changing direction, so it jitters about unpredictably.
Brownian motion is evidence for the kinetic particle model because it shows that something invisible, tiny and fast is hitting the particle. If the air or water were a still, continuous fluid, the smoke particle would simply sit there. The constant random jitter can only be explained by collisions with moving particles. Be careful with the words: the microscopic particles you can see (smoke or pollen) are not the same thing as the molecules that hit them. The molecules are the particles of the gas or liquid, and they are far too small to see.
Gas pressure: particles colliding with a surface
The particles of a gas are in constant random motion, and they collide with the walls of their container. Each individual collision gives the wall a tiny push. There are so many particles colliding every second that the pushes add up to a steady force spread over the area of the wall, and this is what we call the pressure of the gas.
Pressure is defined as force per unit area, so p = F / A, where p is the pressure in pascals (Pa), F is the force in newtons (N) and A is the area in square metres (m2). One pascal is one newton per square metre, so 1 Pa = 1 N/m2. For example, a force of 30 N acting evenly on an area of 0.02 m2 gives p = 30 / 0.02 = 1500 Pa, which is 1.5 kPa.
Two changes raise the pressure of a fixed mass of gas. Heat it at constant volume: the particles gain kinetic energy and move faster, so they strike the walls more often and each collision is more forceful, and the pressure rises. Squeeze it at constant temperature: the same number of particles is crammed into a smaller volume, so they strike the walls more frequently, and the pressure rises again. In both cases the key idea is the rate and the force of the collisions with the surface.
- Hotter gas at constant volume: particles move faster, collide with the walls more often and more forcefully, so the pressure rises.
- Smaller volume at constant temperature: the particles collide with the walls more often, so the pressure rises.
- p = F / A, measured in pascals; 1 Pa = 1 N/m2.
Boyle's law: pV = constant
For a fixed mass of gas at constant temperature, the pressure is inversely proportional to the volume. In symbols, pV = constant, so for the same gas before and after a change p1 x V1 = p2 x V2. This relationship is known as Boyle's law.
Worked example. A fixed mass of gas has a volume of 200 cm3 at a pressure of 100 kPa. The pressure is increased to 250 kPa at constant temperature. What is the new volume? Use p1 x V1 = p2 x V2: 100 x 200 = 250 x V2, so V2 = (100 x 200) / 250 = 80 cm3. The pressure went up and the volume went down, which is the check you should always make - if your answer has the volume rising when the pressure rises, something has gone wrong.
The graph of pressure against volume is a curve that climbs more and more steeply as the volume gets smaller. If instead you plot pressure against 1 / volume, the points lie on a straight line through the origin, because p is proportional to 1/V. Either graph may be asked for, so be ready to describe both and to say what the straight-line version shows.
| Volume / cm3 | Pressure / kPa | p x V / kPa cm3 |
|---|---|---|
| 200 | 100 | 20000 |
| 100 | 200 | 20000 |
| 80 | 250 | 20000 |
| 50 | 400 | 20000 |
Key terms you must be able to define
- Kinetic particle model
- The model that describes a substance as tiny particles in constant motion, whose arrangement, separation and motion explain the properties of solids, liquids and gases.
- Absolute zero
- The lowest possible temperature, -273 °C or 0 K, at which the particles of a substance have the least kinetic energy.
- Kelvin
- The SI unit of temperature; the kelvin scale starts at absolute zero, and a temperature in kelvin is found from T (in K) = theta (in °C) + 273.
- Brownian motion
- The random zigzag motion of microscopic particles in a suspension, caused by uneven random collisions with the much smaller, faster-moving molecules of the surrounding gas or liquid.
- Pressure
- Force per unit area, p = F / A, measured in pascals (Pa) where 1 Pa = 1 N/m2; the pressure of a gas is caused by its particles colliding with a surface.
- Boyle's law
- For a fixed mass of gas at constant temperature, pV = constant, so p1 x V1 = p2 x V2; pressure is inversely proportional to volume.
- Suspension
- A mixture in which microscopic particles are spread through a gas or a liquid, for example smoke particles in air or pollen grains in water; the random motion of these particles is Brownian motion.
- Change of state
- The change of a substance from one state to another by heating or cooling: melting, boiling or evaporating, condensing and freezing; the temperature stays constant while the change takes place.
Applied to the real world
Cambridge sets physics in unfamiliar contexts - a car braking, a power station, a hospital scanner, a satellite. Use these as models for how to apply the physics, then write your own.
The air in a car tyre is a fixed mass of gas in a fixed volume. As the car is driven, the tyres flex and warm up, so the air particles inside move faster and collide with the tyre walls more often and with more force, and the pressure rises. This is why tyre pressures are always checked when the tyres are cold: a reading taken after a long motorway run is higher than the true cold pressure.
A bicycle pump works by reducing the volume of the air trapped inside it. Pushing the handle down squeezes the same number of air particles into a smaller space, so they collide with the walls of the pump more frequently and the pressure rises, forcing the air through the valve and into the tyre. An aerosol can is the opposite problem: warming a sealed can raises the pressure inside because the particles move faster, which is why cans carry a warning to keep them away from heat.
Oxygen cylinders hold a fixed mass of gas in a fixed volume at very high pressure. If a cylinder is left in direct sunlight it warms up, the oxygen molecules move faster and strike the cylinder walls more often and more forcefully, and the pressure rises. That is why cylinders are stored upright in a cool, well-ventilated place and never beside a radiator. Hospitals also work in kelvin when they handle very cold liquids such as liquid nitrogen, which boils at 77 K, that is -196 °C.
Water is heated in a sealed boiler to make steam at high temperature and pressure. Heating gives the water molecules more kinetic energy, so they move faster and hit the walls of the boiler more often and with more force, which raises the pressure. The high-pressure steam is then allowed to expand through a turbine, where its stored pressure energy is transferred to the kinetic energy of the turbine blades and on to electrical energy in the generator.
A compressed-air tool such as a nail gun is powered by air that has been squeezed into a small volume. Compressing the air packs the same number of particles into a much smaller space, so the pressure rises sharply and the stored pressure can do useful work when it is released. Gas cylinders on site are kept out of direct sunlight for the same reason that hospital cylinders are: heating a fixed volume of gas raises its pressure.
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Exam-style questions
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Exam technique for this topic
- When a temperature has to be converted, write the equation first: T (in K) = theta (in °C) + 273. To go from kelvin to degrees Celsius you subtract 273, not add it, and the commonest error is applying the conversion the wrong way round.
- In every gas-pressure explanation, give both effects of the faster particles: they collide with the walls more often and each collision exerts more force. One without the other is usually only half the marks.
- Pressure is force per unit area, so always quote the unit: the pascal (Pa), which is the same as 1 N/m2. A pressure answer with no unit, or with the unit 'N', loses the mark.
- For Brownian motion, say the microscopic particles are hit unevenly by the much smaller, faster-moving molecules. Do not say the smoke particles collide with each other, and do not confuse the visible microscopic particle with the molecule that hits it.
- For pV = constant, write down p1 x V1 = p2 x V2, list the values with their units, and check the answer makes sense: if the pressure goes up, the volume must come down.
- In a particle-diagram question, show arrangement, separation and motion. A solid is regular rows of touching particles, a liquid is random but still close together, and a gas has widely spaced particles with lots of empty space between them.
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Where this fits in IGCSE Physics
This page is one topic of Cambridge IGCSE Physics 0625. IGCSE Physics is the course home: every area and every topic in Cambridge's own order, the papers you sit and what each one tests, and the exam-practice tools. The full topic list, with each topic linked to its revision page, is on the IGCSE Physics syllabus page.