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OCR Gateway GCSE Physics A (J249) · P1 — Matter
Mini-Lesson

Matter

This mini-lesson walks you through the whole of OCR Gateway P1 — Matter: the particle model, density, changes of state, specific heat capacity and latent heat, gas pressure, and the structure of the atom and how that model was built.

solid liquid gas
The same particles, three states — the particle model is the thread running through all of P1.

Work through each screen, answer the questions as you go (some wordy, some calculations) and collect ⭐ stars. Higher-tier-only points are flagged. Press Start when you're ready.

The particle model

Solids, liquids & gases

Everything is made of tiny particles. The kinetic particle model explains the three states by how those particles are arranged, how strongly they are held, and how they move:

  • Solid — particles packed in a regular pattern, touching; strong forces; they only vibrate in fixed positions. Fixed shape, fixed volume.
  • Liquid — particles still close and touching but random; they can slide past each other. Fixed volume, takes the shape of its container.
  • Gas — particles far apart, random, fast, with almost no forces between them. No fixed shape or volume; fills its container.

Watch out: there is nothing between the particles — the gaps are empty space, not air or vapour. Heating gives particles more energy in their kinetic store, so they move faster and (in solids/liquids) vibrate more and spread a little further apart.

Sort it

Name that state

Tap the state of matter that each description fits best.

Density

Density: how much mass is packed in

Density tells you how much mass is squeezed into a given volume. It is the property that lets the particle model explain why a brick sinks and a sponge floats:

ρ = m ÷ Vdensity (kg/m³) = mass (kg) ÷ volume (m³)

The Greek letter ρ ("rho") stands for density. The same equation works in g/cm³ — just keep your units consistent. Water is 1000 kg/m³ (1 g/cm³).

Why states differ: a solid and its liquid have particles close together, so their densities are similar and fairly high. A gas has its particles spread far apart, so its density is much lower — same particles, far bigger volume.

Worked example

A metal block has mass 600 kg and volume 0.25 m³.

ρ = 600 ÷ 0.25 = 2400 kg/m³

Calculate

Your turn — density

1A block of aluminium has a mass of 5.4 kg and a volume of 0.002 m³. Calculate its density.
kg/m³
Hint: ρ = m ÷ V = 5.4 ÷ 0.002.
Measuring density · required practical

Measuring density

To find a density you need a mass and a volume:

  • Mass — use a balance.
  • Regular solid (e.g. a cube) — measure the sides and calculate the volume.
  • Irregular solid — lower it into a eureka can (displacement can) and collect the water it pushes out; that volume of water equals the object's volume.
  • Liquid — measure a volume in a cylinder and find its mass (mass of full cylinder − mass of empty).

Mass is conserved: if you reshape a lump of plasticine, or pour a liquid between beakers, the mass does not change — so if the volume changes, the density changes with it. Density depends on how the same mass is spread through a volume.

Calculate

Your turn — find the mass

2Ethanol has a density of 790 kg/m³. A flask holds 0.0005 m³ of ethanol. Calculate the mass of ethanol (use m = ρ × V).
kg
Hint: m = 790 × 0.0005.
Changes of state

Changing state — and conserving mass

Heating or cooling can move a substance between states. These are physical changes — no new substance is made, and the change can be reversed to recover the original material:

  • Melting (solid → liquid) and freezing (liquid → solid)
  • Evaporating / boiling (liquid → gas) and condensing (gas → liquid)
  • Subliming (solid → gas directly, e.g. dry ice)

Mass is conserved in every change of state. When ice melts or water boils, the particles are unchanged — none are created or destroyed — so the mass of the substance stays exactly the same. The particles just gain or lose energy and rearrange.

Quick check

Boiling away

?100 g of water in a sealed, rigid container is heated until it all turns to steam. What is the mass of steam in the sealed container?
Internal energy & the heating curve

Internal energy & latent heat

The internal energy of a material is the total energy of all its particles: the energy in their kinetic stores (motion → temperature) plus the energy in the bonds between them.

Heat a substance steadily and its temperature rises — except during a change of state. On the flat parts of the heating curve the energy is breaking bonds, not speeding particles up, so the temperature stays constant. That energy is the latent heat.

energy supplied → temperature → melting boiling solid liquid gas temp constant temp constant
On the two flat plateaus (melting and boiling) the substance absorbs energy but its temperature does not change.

Misconception alert: on a plateau the substance is still gaining energy — that energy (the latent heat) is breaking the forces between particles. "No temperature change" does not mean "no energy is being absorbed".

Quick check

Reading the plateau

?A pure substance is melting. Energy is being supplied steadily, but the thermometer reading is not changing. Where is that energy going?
Specific heat capacity · required practical

Specific heat capacity

To change a material's temperature (while it stays in one state) you change the energy in its thermal store. How much energy that takes depends on the specific heat capacity, c:

ΔE = m c Δθenergy (J) = mass (kg) × specific heat capacity (J/kg°C) × temperature change (°C)

The specific heat capacity is the energy needed to raise 1 kg of a substance by 1 °C. Water's is high (4200 J/kg°C), which is why it heats and cools slowly.

Required practical: heat a known mass of metal block with an electric heater, recording the energy supplied (joulemeter) and the temperature rise, then find c = ΔE ÷ (m Δθ). Don't confuse specific heat capacity (warming up, temperature changes) with latent heat (changing state, temperature constant).

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

3How much energy is needed to raise the temperature of 2 kg of copper (c = 385 J/kg°C) by 30 °C?
J
Hint: ΔE = m c Δθ = 2 × 385 × 30.
Specific latent heat

Specific latent heat

To change a substance's state (at constant temperature) you supply the latent heat. How much depends on the mass and the specific latent heat, L:

E = m Lenergy (J) = mass (kg) × specific latent heat (J/kg)

The specific latent heat is the energy needed to change the state of 1 kg of a substance with no change in temperature. There are two kinds:

  • Specific latent heat of fusion — for melting/freezing.
  • Specific latent heat of vaporisation — for boiling/condensing (usually much larger).
Worked example

Melting 0.2 kg of ice (L = 334 000 J/kg):

E = 0.2 × 334 000 = 66 800 J (66.8 kJ)

Calculate

Your turn — latent heat

4How much energy is needed to boil away 0.5 kg of water already at 100 °C? (Specific latent heat of vaporisation of water = 2 260 000 J/kg.)
J
Hint: E = m L = 0.5 × 2 260 000.
Gas pressure

Where gas pressure comes from

Gas particles move quickly in random directions. Each time a particle collides with a wall of its container it bounces off, exerting a tiny force on the wall. Billions of these collisions every second add up to gas pressure.

collisions with the walls → pressure
Pressure is the net force per unit area the colliding particles exert, acting at right angles to every wall.

Heat the gas and the particles move faster: they hit the walls harder and more often, so (at constant volume) the pressure rises as temperature rises.

Misconception alert: gas pressure is not the particles pushing on each other or "wanting to escape". It is simply the result of countless particle–wall collisions.

Quick check

Why the can bulges

?A sealed rigid can of gas is heated. The pressure inside increases. Which statement best explains why?
Higher tier only

Pressure & volume: pV = constant

For a fixed mass of gas at constant temperature, squeeze it into a smaller volume and the particles hit the walls more often (less room to travel between hits), so the pressure rises. Pressure and volume are inversely related:

p V = constant(for a fixed mass of gas at constant temperature) → p₁V₁ = p₂V₂

So halving the volume doubles the pressure. This is a Higher-tier-only calculation in OCR Gateway P1.

Worked example

A gas at 100 kPa fills 0.30 m³. It is squeezed to 0.10 m³ at constant temperature.

p₂ = p₁V₁ ÷ V₂ = (100 × 0.30) ÷ 0.10 = 300 kPa

Higher · Calculate

Your turn — pV = constant

5(Higher) A fixed mass of gas at constant temperature has a pressure of 200 kPa and a volume of 0.40 m³. It is allowed to expand to 0.80 m³. Calculate its new pressure.
kPa
Hint: p₁V₁ = p₂V₂, so p₂ = (200 × 0.40) ÷ 0.80.
Atomic structure

Inside the atom

An atom is a tiny, dense, positively charged nucleus of protons and neutrons, surrounded by electrons in energy levels (shells). Almost all the mass is in the nucleus; the nuclear radius is far smaller than the radius of the whole atom.

nucleus protons + neutrons electrons in shells
A typical atom is about 1 × 10⁻¹⁰ m across; the nucleus is roughly 10 000× smaller — so the atom is mostly empty space.
  • Atomic number (Z) = number of protons (and, in a neutral atom, electrons).
  • Mass number (A) = number of protons + neutrons.
  • Number of neutrons = A − Z.
  • Isotopes are atoms of the same element with the same number of protons but different numbers of neutrons (same Z, different A).

Misconception alert: isotopes differ in neutrons, not protons — change the number of protons and you change the element entirely. And remember the atom is mostly empty space between the nucleus and the electrons.

Calculate

Your turn — counting neutrons

6An atom of strontium-90 has a mass number A = 90 and an atomic number Z = 38. How many neutrons does it have?
neutrons
Hint: neutrons = A − Z = 90 − 38.
Sort it

In the nucleus, or not?

Tap a label, then tap the box where that particle is found.

🟣 In the nucleus

🔵 In shells around it

Developing the atomic model

How the model was built

The model of the atom changed as new evidence arrived — a great example of how science self-corrects:

  • Plum pudding (Thomson) — the atom is a ball of positive charge with electrons dotted through it.
  • Rutherford (alpha-scattering, with Geiger & Marsden) — firing alpha particles at gold foil, most passed straight through, but a few bounced back. This showed the atom is mostly empty space with a tiny, dense, positively charged nucleus.
  • Bohr — refined this: electrons orbit in fixed energy levels (shells) at set distances, which explained why atoms were stable.
α source gold foil nucleus most pass straight through a few bounce back
Alpha-scattering: most particles miss everything (empty space); the rare back-scatters reveal a tiny, dense, positive nucleus.

Energy levels: an electron can move up a level by absorbing electromagnetic radiation, and falls back down by emitting EM radiation. The energy of the radiation matches the gap between the levels.

Quick check

What scattering showed

?In the alpha-scattering experiment, most alpha particles passed straight through the gold foil undeflected. What does this tell us about the atom?
P1.3 · Atmospheric pressure

Pressure in the atmosphere

The atmosphere is a "sea" of air around the Earth. Like any fluid, its particles collide with surfaces, so the weight of the air above you presses down — that is atmospheric pressure. A simple model treats the air as having roughly uniform density (we ignore the layers).

As you climb higher, there is less air above you, so fewer particles press down and the atmospheric pressure falls. That is why pressure drops up a mountain and why aircraft cabins are pressurised.

Watch out: "suction" is really a pressure difference. When you drink through a straw you lower the pressure inside it, and the higher atmospheric pressure outside pushes the liquid up — the straw does not "pull" it.

Quick check

Up the mountain

?A climber walks from sea level to the top of a tall mountain. What happens to the atmospheric pressure, and why?
Higher tier only

Pressure deeper in a liquid

A liquid is also a fluid, so it presses on every surface it touches at right angles. The deeper you go, the more liquid sits above that point, so the greater its weight and the higher the pressure. The pressure due to a column of liquid is:

p = h ρ gpressure (Pa) = height of column (m) × density (kg/m³) × gravitational field strength (N/kg)
surface depth h → bigger small pressure increases with depth
Pressure grows with depth (and with density) — the longer arrows lower down show the liquid pushing harder on the walls deeper in.

Misconception alert: liquid pressure depends only on the depth and the density of the liquid (and g) — not on the shape or width of the container. A wide tank and a thin tube of water filled to the same depth have the same pressure at the bottom.

Worked example

Pressure 3 m below the surface of water (ρ = 1000 kg/m³, g = 10 N/kg):

p = h ρ g = 3 × 1000 × 10 = 30 000 Pa

Higher · Calculate

Your turn — pressure at depth

7(Higher) A diver is 12 m below the surface of seawater of density 1030 kg/m³. Using g = 10 N/kg, calculate the pressure due to the seawater above the diver.
Pa
Hint: p = h ρ g = 12 × 1030 × 10.
Higher tier only

Upthrust, floating & sinking

Because pressure increases with depth, the liquid pushes up harder on the bottom of a submerged object than it pushes down on the top. That difference in pressure gives a resultant upward force called upthrust (buoyancy).

surface object small force down large upthrust up weight
The upward push on the bottom beats the downward push on the top, so the resultant is an upthrust.
  • If upthrust ≥ weight, the object floats (it rises or sits in equilibrium).
  • If weight > upthrust, the object sinks.
  • An object floats when its average density is less than that of the liquid — which is why a steel ship (hollow, full of air) floats even though steel is dense.

Misconception alert: floating is not simply about "light" or "small" objects. A huge ship floats and a tiny steel ball-bearing sinks. What matters is whether the upthrust can match the weight — i.e. the object's average density versus the liquid's.

Higher · Quick check

Why does the ship float?

?(Higher) A solid steel ball sinks, but a steel ship of the same metal floats. What is the best explanation?
Recap

The P1 essentials

Density: ρ = m ÷ V

Heating (temperature change): ΔE = m c Δθ

Changing state (constant temperature): E = m L

Gas (Higher only): p V = constant

Atmospheric pressure: falls with height (less air above)

Liquid pressure (Higher only): p = h ρ g → upthrust → floating depends on average density

Atom: Z = protons, A = protons + neutrons, neutrons = A − Z

Isotopes: same protons, different neutrons

You've covered all of OCR Gateway P1 — the particle model, density, changes of state with conservation of mass, internal energy, specific heat capacity and latent heat, gas pressure (and the Higher-tier pV = constant), atomic structure and the development of the atomic model. Press Finish to see your score.

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