Welcome to the Particle Model of Matter!

Ever wondered why ice melts, why steam can burn you so badly, or why a heavy metal bolt sinks while a piece of wood floats? It all comes down to particles. In this chapter, we will learn how the tiny building blocks of the universe behave and how they move energy around. Don't worry if some of the math or concepts seem tricky at first—we will break them down piece by piece!

1. Changes of State and the Particle Model

Everything around you is made of matter, and that matter is made of tiny particles (atoms and molecules). How these particles are arranged determines whether something is a solid, a liquid, or a gas.

Density of Materials

Density is a measure of "compactness." It tells us how much mass is packed into a certain volume. Think of it like this: a suitcase packed full of lead weights is much denser than the same suitcase packed with pillows!

The formula for density is:
\( density = \frac{mass}{volume} \) or \( \rho = \frac{m}{V} \)

  • Density (\(\rho\)) is measured in kilograms per metre cubed (\(kg/m^3\)).
  • Mass (\(m\)) is measured in kilograms (\(kg\)).
  • Volume (\(V\)) is measured in metres cubed (\(m^3\)).

The Particle View:
1. Solids: Particles are packed very closely together in a regular pattern. This is why solids are usually very dense.
2. Liquids: Particles are close together but can move past each other. They are usually slightly less dense than solids.
3. Gases: Particles are far apart and move randomly. Gases have very low density because there is a lot of empty space between the particles.

Required Practical 17: You need to know how to measure the density of regular objects (using a ruler and balance) and irregular objects (using a displacement/Eureka can to find the volume).

Changes of State

When substances change state (like ice melting into water), mass is conserved. This means no particles are added or taken away; they are just rearranged! These are physical changes, not chemical ones. If you reverse the change (freeze the water back into ice), the material recovers its original properties.

Key Takeaway: Density depends on the arrangement of particles. Mass stays the same during a change of state, even if the volume changes!

2. Internal Energy and Energy Transfers

Energy is stored inside a system by the particles that make it up. This is called Internal Energy.

What is Internal Energy?

Internal energy is the total of two types of energy:
1. Kinetic Energy: Energy from the particles moving or vibrating.
2. Potential Energy: Energy from the bonds between the particles.

When you heat a system, you transfer energy to the particles. This either:
- Raises the temperature (particles move faster).
- Produces a change of state (bonds are broken or weakened).

Specific Heat Capacity (SHC)

If the temperature increases, the amount of energy stored depends on the mass, the material type, and the temperature rise. Specific Heat Capacity is the energy needed to raise the temperature of 1 kg of a substance by 1°C.

The formula is:
\( \Delta E = m \times c \times \Delta \theta \)

  • Change in thermal energy (\(\Delta E\)) in Joules (\(J\)).
  • Mass (\(m\)) in kilograms (\(kg\)).
  • Specific heat capacity (\(c\)) in \(J/kg ^\circ C\).
  • Temperature change (\(\Delta \theta\)) in \(^\circ C\).

Specific Latent Heat (SLH)

Have you ever noticed that when water is boiling, the temperature stays exactly at 100°C even though the hob is still on? That’s because the energy is being used to change state, not raise the temperature. This "hidden" energy is called Latent Heat.

Specific Latent Heat is the energy required to change the state of 1 kg of a substance with no change in temperature.

The formula is:
\( E = m \times L \)

  • Energy (\(E\)) in Joules (\(J\)).
  • Specific latent heat (\(L\)) in \(J/kg\).

There are two types:
- Specific latent heat of fusion: Changing between solid and liquid.
- Specific latent heat of vaporisation: Changing between liquid and gas.

Did you know? On a heating graph, the "flat" horizontal lines represent the change of state where the temperature stays constant!

Key Takeaway: Internal energy = Kinetic + Potential. Specific Heat Capacity is about temperature change; Specific Latent Heat is about state change.

3. Particle Model and Pressure

This section explains how gases behave when they are trapped in a container.

Particle Motion in Gases

The molecules of a gas are in constant random motion. The temperature of a gas is directly related to the average kinetic energy of its molecules. The hotter the gas, the faster the particles move!

Pressure in Gases

Imagine millions of tiny ping-pong balls hitting the walls of a box. Each hit creates a tiny force. In a gas, these hits create pressure.

If you have a gas in a container with a fixed volume and you increase the temperature:
1. The particles move faster (more kinetic energy).
2. They hit the walls more often.
3. They hit the walls with more force.
4. Therefore, the pressure increases.

Quick Review: Common Mistakes to Avoid
- Don't say particles "expand" when heated. The substance expands because the distance between particles increases, but the particles themselves stay the same size!
- Don't confuse Specific Heat Capacity (getting hotter) with Specific Latent Heat (melting/boiling).

Key Takeaway: In a gas, higher temperature means faster particles and higher pressure (if the volume stays the same).