CSEC PHYSICS · SECTION B · LESSON B4

The Gas Laws and the Kelvin Scale

The Kelvin temperature scale and absolute zero, Boyle’s law, Charles’ law, the pressure law and the general gas law, with kinetic-theory explanations and worked calculations.

Thermal Physics and Kinetic TheoryB 2.9B 2.10B 2.11B 2.12≈ 50 min🎮 3 games
Before you start

By the end of this lesson you can…

Step 1 · Watch

Explainer video

5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.

LESSON B4 · EXPLAINER

The Gas Laws and the Kelvin Scale

A car tyre is checked cold because after a long journey the gas inside is hotter, and its pressure is higher. The gas laws explain how much.

Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.

Explore in 3D

The gas laws in 3D

Change the temperature and the volume of a gas and watch how the pressure changes.

Step 2 · Read

Key notes

Copy these into your notebook in your own words — that is how they stick.

Absolute zero

−273 °C = 0 K: the temperature at which the extrapolated volume/pressure would be zero.

Conversion

T/K = θ/°C + 273.

Boyle’s law

Fixed mass, constant T: PV = constant.

Charles’ law

Fixed mass, constant P: V/T = constant (K).

Pressure law

Fixed mass, constant V: P/T = constant (K).

General gas law

P₁V₁/T₁ = P₂V₂/T₂.

Always

Use kelvin for T in Charles, pressure and general gas law.

Kinetic theory

Gas pressure is due to molecular collisions with the container walls.

EXAM TIPS & COMMON MISTAKES

  • Convert to kelvin before substituting. The most common error is leaving the temperature in °C.
  • In kinetic-theory explanations mention BOTH frequency and force of collisions.
  • State what is kept constant (mass, temperature, pressure, or volume).
  • Pressure and volume units can cancel, but be consistent in the same equation.
Play & practise

Games

3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Physics Arcade.

Step 3 · Practise

Paper 1 practice — multiple choice

8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.

Syllabus B 2.9

1. Absolute zero on the Celsius scale is

Answer: C. The extrapolated volume/pressure is zero at −273 °C.
Syllabus B 2.10

2. A temperature of 27 °C is equal to

Answer: D. 27 + 273 = 300 K.
Syllabus B 2.11

3. Boyle’s law applies to a fixed mass of gas at constant

Answer: A. PV = constant at constant temperature.
Syllabus B 2.11

4. A gas has pressure 100 kPa and volume 600 cm³. It is compressed at constant temperature to 300 cm³. The new pressure is

Answer: B. 100 × 600 ÷ 300 = 200 kPa.
Syllabus B 2.11

5. A fixed mass of gas at constant pressure has volume 200 cm³ at 300 K. At 450 K its volume is

Answer: C. 200 × 450 ÷ 300 = 300 cm³.
Syllabus B 2.11

6. The pressure of a fixed volume of gas at 300 K is 150 kPa. At 600 K the pressure is

Answer: D. P/T is constant: pressure doubles.
Syllabus B 2.12

7. According to kinetic theory, gas pressure is caused by

Answer: A. Collisions give a force per unit area.
Syllabus B 2.12

8. When the volume of a gas is reduced at constant temperature, the pressure increases because

Answer: B. Same speed, but less space so more collisions per second.
Step 4 · Apply

Paper 2 practice — structured questions

Write full answers, then reveal the mark scheme and tick the points you earned (16 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Paper 2 style · Gas laws

Question 1 [16 marks]

A sealed container holds a fixed mass of gas at a pressure of 150 kPa and a temperature of 27 °C. A calculator may be used.

(a) (a) Convert 27 °C to kelvin. [1]

MARK SCHEME — (a) (max 1)

(b) (b) The container is heated at constant volume to 87 °C. State the law that applies, and calculate the new pressure. [5]

MARK SCHEME — (b) (max 5)

(c) (c) Use the kinetic theory to explain why the pressure increases. [3]

MARK SCHEME — (c) (max 3)

(d) (d) The gas is then compressed at constant temperature from 600 cm³ to 400 cm³. Calculate the new pressure of the gas from 180 kPa. [3]

MARK SCHEME — (d) (max 3)

(e) (e) State Boyle’s law. [2]

MARK SCHEME — (e) (max 2)

(f) (f) A volume–temperature graph for a gas is extended back to zero volume. State the temperature at which it reaches zero and its name. [2]

MARK SCHEME — (f) (max 2)

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Sources

Where this topic appears in CSEC papers

Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.