Cambridge IGCSE0972

Kinetic particle model of matter

Physics 0972 Chapter Notes

What this chapter covers

Kinetic particle model of matter - States of matterKinetic particle model of matter - Particle modelKinetic particle model of matter - Gases and the absolute scale of temperature
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1. The Three States of Matter

The kinetic particle model states that all matter is made of tiny particles (atoms or molecules) in constant, random motion. The state of a substance—solid, liquid, or gas—depends on the energy of these particles and the strength of the forces between them.

  • Solids: Particles are packed tightly in a fixed, regular pattern (a lattice). They have strong forces of attraction holding them in place. The particles cannot move from their positions but can vibrate. This is why solids have a fixed shape and a fixed volume.
  • Liquids: Particles are still packed closely together, but not in a regular pattern. The forces between them are weaker than in solids. The particles have more kinetic energy, allowing them to slide past one another. This is why liquids have a fixed volume but take the shape of their container.
  • Gases: Particles are very far apart and move randomly and rapidly in all directions. The forces between particles are negligible. They have the highest kinetic energy of the three states. This is why gases have no fixed shape or volume and will fill any container they are in.

Key term

Kinetic Particle Theory: A model which describes matter as a collection of a large number of small particles (atoms or molecules) that are in constant, random motion.

Examiner insight

Examiners look for clear, comparative language when asking about the different states, so use words like 'stronger/weaker forces' and 'closer/further apart'.

Common pitfall

Stating that particles in a solid are 'not moving'. They are always vibrating, and this vibration increases with temperature.

Worked example 14 marks

Describe the arrangement and motion of particles in a solid and in a gas. [4 marks]

  1. 1
    1. Solid Arrangement & Motion: In a solid, particles are arranged in a regular, tightly packed lattice. They are held in fixed positions by strong forces and can only vibrate. [2 marks]
  2. 2
    1. Gas Arrangement & Motion: In a gas, particles are far apart with no regular arrangement. They move randomly and at high speeds in all directions. The forces between them are negligible. [2 marks]

Worked example 22 marks

A block of ice (solid water) melts into a puddle of water (liquid). Compare the spacing and forces between the particles in the ice and in the water. [2 marks]

  1. 1
    1. Spacing: The particles in ice are in fixed positions, while in liquid water they can move. The spacing is similar, but slightly further apart on average in the liquid state (though ice is a special case where the solid is less dense). For most substances, particles in a liquid are slightly further apart than in a solid. [1 mark]
  2. 2
    1. Forces: The forces of attraction between particles in ice are very strong, holding them in a fixed lattice. In liquid water, the forces are weaker, allowing particles to move past each other. [1 mark]

Recap

  • Solids have particles that vibrate in fixed positions within a regular lattice.
  • Liquids have particles that are closely packed but can slide past one another.
  • Gases have particles that are far apart and move randomly and rapidly.
  • The strength of forces between particles decreases from solid to liquid to gas.
  • The kinetic energy of particles increases from solid to liquid to gas at a given temperature.

Quick check

  1. Which state of matter is easily compressed? Explain why.2 marks

2. Temperature and Internal Energy

Temperature is a measure of how hot or cold an object is. In physics, it is directly related to the motion of particles. The temperature of an object is a measure of the average kinetic energy of its constituent particles. The faster the particles move or vibrate on average, the higher the temperature.

Internal energy is the total energy of all the particles within a substance. It is the sum of the random kinetic energies (due to motion) and potential energies (due to the forces between particles) of all the molecules. A larger object at the same temperature as a smaller object will have a higher internal energy because it contains more particles.

For temperature measurements in physics, the Kelvin scale is often used. Absolute zero (0 K) is the lowest possible temperature, where particles have the minimum possible internal energy. To convert between Celsius (°C) and Kelvin (K), you use a simple formula.

T (K) = T (°C) + 273

Key term

Internal Energy: The total energy stored by the particles of a substance, being the sum of their random kinetic and potential energies.

Common pitfall

Confusing temperature and heat. Temperature is a measure of average particle KE, while heat is the energy transferred due to a temperature difference.

Fun fact

The coldest temperature ever recorded in the natural world was -89.2 °C (-128.6 °F; 184 K) in Antarctica. Scientists in labs have created temperatures just fractions of a degree above absolute zero.

Worked example 11 mark

Convert the boiling point of water, 100 °C, into kelvin. [1 mark]

  1. 1
    1. Use the conversion formula: T(K) = T(°C) + 273.
  2. 2
    1. Substitute the value: T(K) = 100 + 273.
  3. 3
    1. Calculate the result: T(K) = 373 K.

Worked example 22 marks

A large bucket of water and a small cup of water are both at 20 °C. Which has the higher internal energy? Explain your answer. [2 marks]

  1. 1
    1. Answer: The large bucket of water has the higher internal energy. [1 mark]
  2. 2
    1. Explanation: Although both are at the same temperature (meaning the average kinetic energy of the particles is the same), the bucket contains many more water molecules than the cup. Since internal energy is the total energy of all particles, the bucket's total energy is greater. [1 mark]

Recap

  • Temperature is a measure of the average kinetic energy of the particles in a substance.
  • Internal energy is the sum of the kinetic and potential energies of all particles in a substance.
  • Absolute zero (0 K or -273 °C) is the temperature at which particles have minimum internal energy.
  • To convert from Celsius to Kelvin, add 273.

Quick check

  1. A substance is cooled from 300 K to 250 K. What is the temperature change in °C?1 mark

3. Brownian Motion: Evidence for Particles

Even though we cannot see individual air or water molecules, we can see their effect. Brownian motion provides direct evidence for the existence of these tiny, moving particles. The observation was first made by botanist Robert Brown when he saw pollen grains moving erratically in water.

When larger, visible particles (like smoke particles in air or pollen grains in water) are observed under a microscope, they are seen to move about in a random, jerky manner. This is not because the smoke or pollen particles are 'alive'. It is because they are being constantly bombarded by millions of smaller, invisible particles of the fluid (air or water) they are suspended in. At any instant, the collisions on one side of the smoke particle may be stronger or more numerous than on the other side, causing a net force that pushes the particle. This process repeats continuously, resulting in a 'random walk' path.

Key term

Brownian Motion: The random movement of microscopic particles suspended in a fluid, caused by unbalanced collisions with the fast-moving molecules of the fluid.

Examiner insight

High-scoring answers must state that the collisions from the fluid particles are 'random' and 'unbalanced' or 'uneven' to explain the jerky motion.

Common pitfall

Thinking that the smoke particles are colliding with each other to cause the motion. The motion is caused by collisions from the much smaller, invisible air molecules.

Worked example 14 marks

A student uses a microscope to observe smoke particles in a transparent box. Describe and explain the motion of the smoke particles. [4 marks]

  1. 1
    1. Description of motion: The student will observe the smoke particles moving randomly and erratically, changing speed and direction abruptly and without any obvious cause. [1 mark]
  2. 2
    1. Explanation Part 1 (Collisions): The smoke particles are being hit by smaller, invisible air molecules which are in constant, random motion. [1 mark]
  3. 3
    1. Explanation Part 2 (Unbalanced Forces): At any moment, the number of air molecules hitting one side of a smoke particle is different from the number hitting the other side. This creates an unbalanced force. [1 mark]
  4. 4
    1. Explanation Part 3 (Result): This resultant force causes the smoke particle to accelerate and move in a random, jerky path. [1 mark]

Recap

  • Brownian motion is the random, jerky movement of suspended particles.
  • It is caused by collisions from smaller, invisible molecules of the surrounding fluid.
  • The collisions are uneven and unbalanced at any given instant.
  • This motion provides direct evidence for the kinetic particle theory.

Quick check

  1. In the smoke cell experiment, why are the air molecules not visible, but their effect is?2 marks

4. Gas Pressure Explained

Gas pressure is the force that a gas exerts per unit area on the surface of its container. According to the kinetic model, this pressure arises from the countless collisions of fast-moving gas particles with the container walls. Each collision exerts a tiny force. The combined effect of billions of these collisions per second creates a steady, measurable pressure.

Two key relationships follow from this model:

  1. Heating at Constant Volume: If you heat a gas in a sealed, rigid container, its pressure increases. This is because the heat energy increases the kinetic energy of the gas particles, making them move faster. They therefore collide with the walls more frequently and more forcefully, increasing the total pressure.
  1. Heating at Constant Pressure: If you heat a gas in a flexible container like a balloon, its volume increases. The faster-moving particles collide with the walls, pushing them outwards. The volume expands until the pressure inside equals the pressure outside again. This is because the particles are now spread over a larger volume, so they hit the walls less frequently, which compensates for their more forceful collisions.

Key term

Gas Pressure: The force exerted by a gas per unit area on the walls of its container, caused by the constant collisions of gas particles with the walls.

Examiner insight

To get full marks for explaining pressure changes, you must refer to both the frequency and the force of the particle collisions.

Common pitfall

When explaining pressure increase with temperature, students often only mention 'more collisions' but forget to mention 'more forceful' or 'harder' collisions, which is also a key factor.

Worked example 13 marks

Using the kinetic model, explain why the pressure of a car tyre increases after a long journey. [3 marks]

  1. 1
    1. Temperature Increase: As the car moves, friction between the tyre and the road heats up the air inside the tyre. [1 mark]
  2. 2
    1. Particle Motion: This increases the kinetic energy of the air molecules, causing them to move faster. [1 mark]
  3. 3
    1. Pressure Increase: The faster-moving molecules collide with the inner walls of the tyre more frequently and with greater force, resulting in an increase in pressure. [1 mark]

Worked example 23 marks

A sealed can of deodorant is labelled 'Do not expose to sunlight'. Explain the danger of leaving the can in the hot sun. [3 marks]

  1. 1
    1. The sun heats the can and the gas inside. The volume of the can is fixed. [1 mark]
  2. 2
    1. The gas particles gain kinetic energy and move faster, colliding with the inside of the can more often and more forcefully. [1 mark]
  3. 3
    1. This causes a large increase in pressure inside the can, which could cause it to explode. [1 mark]

Recap

  • Gas pressure is caused by particles colliding with the container walls.
  • Increasing the temperature of a gas increases the average speed of its particles.
  • At constant volume, higher temperature means higher pressure.
  • At constant pressure, higher temperature means larger volume.
  • More frequent and more forceful collisions lead to higher pressure.

Quick check

  1. What happens to the average distance between gas particles when a gas is heated at constant pressure?1 mark

End-of-chapter exercise

Test yourself on the whole chapter. Work through these before moving on.

  1. In terms of particles, describe two differences between a liquid and a gas. [2 marks]2 marks
  2. The temperature on a cold day is -5 °C. Convert this temperature to kelvin (K). [1 mark]1 mark
  3. A student observes pollen grains in water using a microscope. Describe the motion of the pollen grains and explain what causes this motion. [3 marks]3 marks
  4. A metal railway track has small gaps left between sections. Using the kinetic particle model, explain why these gaps are necessary and what might happen on a very hot day if they were not there. [4 marks]4 marks
  5. Explain why a balloon filled with air expands if it is left in a warm room. Refer to the motion of the particles and pressure in your answer. [4 marks]4 marks
  6. A sealed syringe contains air. If the plunger is pushed in, the volume decreases. Explain what happens to the pressure of the air inside the syringe, assuming the temperature remains constant. [3 marks]3 marks
  7. Distinguish between the internal energy of a substance and its temperature. [2 marks]2 marks
  8. Compare the relative thermal expansion of solids, liquids, and gases for the same increase in temperature. Explain the difference in terms of particle arrangement and forces. [4 marks]4 marks
  9. A small, hot piece of iron is dropped into a large beaker of cold water. Describe the energy transfers that take place until thermal equilibrium is reached. Refer to the kinetic energy of the particles. [3 marks]3 marks
  10. A scientist cools a gas from 350 K to 150 K in a container of fixed volume. Describe and explain the effect this has on the pressure exerted by the gas on the container walls. [4 marks]4 marks

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