Unit 8 · Thermal Physics
Unit 8 · Thermal Physics
- The Complete Cambridge International AS & A Level Physics (9702) Guide
- Cambridge International AS & A Level Physics (9702)
- 12 sections
Cambridge International does not publish a per-unit weighting for this exam. Exam structure (official): AS Level: Multiple Choice (75 min, 40 questions, 31%) · AS Level Structured Questions (75 min, 46%) · Advanced Practical Skills (120 min, 2 questions, 23%); A Level: Multiple Choice (75 min, 40 questions, 15.5%) · AS Level Structured Questions (75 min, 23%) · Advanced Practical Skills (120 min, 2 questions, 11.5%) · A Level Structured Questions (120 min, 38.5%) · Planning, Analysis And Evaluation (75 min, 2 questions, 11.5%). Be ready to carry the same unit skills and representations into a complete answer on every paper. The gas state uses 1.10 × 10⁵ Pa, 2.40 × 10⁻³ m³ and 300 K. Absolute temperature is essential because pV = nRT is not a Celsius-scale relation.
- How Cambridge International AS & A Level Physics (9702) assesses this Cambridge International publishes no per-unit percentage for Cambridge International A Level Physics; Paper 1 accounts for 31% of the AS Level total and 15.5% of the A Level total. · AS Level: Multiple Choice (75 min, 40 questions, 31%) · AS Level Structured Questions (75 min, 46%) · Advanced Practical Skills (120 min, 2 questions, 23%) | A Level: Multiple Choice (75 min, 40 questions, 15.5%) · AS Level Structured Questions (75 min, 23%) · Advanced Practical Skills (120 min, 2 questions, 11.5%) · A Level Structured Questions (120 min, 38.5%) · Planning, Analysis And Evaluation (75 min, 2 questions, 11.5%) · show the model with A graph of pressure (kPa) against temperature (K)., A formula card that explains the ideal-gas relation balances pressure–volume energy with amount times rt., A table linking key concept, why it matters, visible method.
- Key skills Thermal Equilibrium and Temperature Scales (A Level), Specific Heat Capacity and Specific Latent Heat (A Level), The Mole and the Ideal Gas Equation of State (A Level), Kinetic Theory of Gases (A Level), Internal Energy and the First Law of Thermodynamics (A Level)
- How to study for Unit 8 This page turns A graph of pressure (kPa) against temperature (K)., A formula card that explains the ideal-gas relation balances pressure–volume energy with amount times rt., A table linking key concept, why it matters, visible method. into one route: Set pV = nRT.
- The organizing decision Track joules on both sides of pV = nRT so that their cancellation leaves the amount of gas in moles.
What Cambridge International AS & A Level Physics (9702) Unit 8 covers
Use this map to connect each assessed skill to the relationship or representation that makes it visible.
Thermal Equilibrium and Temperature Scales (A Level)
absolute temperature; specific latent heat; internal energy02Specific Heat Capacity and Specific Latent Heat (A Level)
absolute temperature; specific latent heat; internal energy03The Mole and the Ideal Gas Equation of State (A Level)
absolute temperature; specific latent heat; internal energy04Kinetic Theory of Gases (A Level)
absolute temperature; specific latent heat; internal energy05Internal Energy and the First Law of Thermodynamics (A Level)
absolute temperature; specific latent heat; internal energyCambridge International does not publish a per-unit weighting for this exam.
Official unit name and weighting: Cambridge International syllabus.
Thermal Physics
Connect the published share to the unit model
The gas state uses 1.10 × 10⁵ Pa, 2.40 × 10⁻³ m³ and 300 K. Absolute temperature is essential because pV = nRT is not a Celsius-scale relation.
The product pV equals 264 J, while RT equals 2493 J mol⁻¹. Their quotient gives 0.1059 mol before the final three-significant-figure statement.
A separate pressure–temperature plot holds the appropriate gas conditions fixed as shown by its equation. Reading its inverse curve requires attention to which quantity is placed on each axis.
Convert temperature to the required absolute scale before choosing an ideal-gas, kinetic, heating or first-law relation. Define the system and energy sign convention when heat or work is involved, then substitute compatible units. The numerical result should be followed by a statement of the process and the direction of energy transfer.
The decision that organizes this unit
Define the system and choose the route before calculating
Track joules on both sides of pV = nRT so that their cancellation leaves the amount of gas in moles.
Set pV = nRT
Mechanism route and repair branches
Relationships to preserve
- Gas state: Pressure, volume and temperature belong to one sample.
- Temperature: The supplied value is 300 K.
- Amount: 264 J is divided by 2493 J mol⁻¹.
Representations to read
- A graph of pressure (kPa) against temperature (K).
- A formula card that explains the ideal-gas relation balances pressure–volume energy with amount times rt.
- A table linking key concept, why it matters, visible method.
Branches to reject
- Substituting a Celsius value or omitting the volume prefix
- Treating the curve as p directly proportional to T
- Swapping temperature and pressure
| Key concept | Why it matters | Visible method |
|---|---|---|
| Gas state | Pressure, volume and temperature belong to one sample | Set pV = nRT |
| Temperature | The supplied value is 300 K | Keep the absolute scale in the denominator |
| Amount | 264 J is divided by 2493 J mol⁻¹ | Report n = 0.106 mol |
| Absolute scale | Gas relations require absolute temperature. | Convert temperature before substitution. |
| System and transfer | Heat, work and internal energy depend on the chosen system and sign convention. | Define both before applying the first law. |
How Cambridge International AS & A Level Physics (9702) assesses Thermal Physics
What a complete response must make visible
Match the task to evidence that a reader can audit, then check the most likely reasoning failure before finalizing the response.
| Task | Evidence to show | Hurdle |
|---|---|---|
| Thermal Equilibrium and Temperature Scales (A Level) | absolute temperature; specific latent heat; internal energy | Substituting a Celsius value or omitting the volume prefix |
| Specific Heat Capacity and Specific Latent Heat (A Level) | absolute temperature; specific latent heat; internal energy | Treating the curve as p directly proportional to T |
| The Mole and the Ideal Gas Equation of State (A Level) | absolute temperature; specific latent heat; internal energy | Swapping temperature and pressure |
| Kinetic Theory of Gases (A Level) | absolute temperature; specific latent heat; internal energy | Substituting a Celsius value or omitting the volume prefix |
| Internal Energy and the First Law of Thermodynamics (A Level) | absolute temperature; specific latent heat; internal energy | Treating the curve as p directly proportional to T |
Worked example: absolute temperature, ideal gases and energy transfer
Read each question as it appears on the exam paper, choose your answer, then tap it to see the feedback.
Practice 1: Amount of an ideal gas
A sealed sample behaves as an ideal gas.
An ideal-gas sample has pressure 1.10 × 10⁵ Pa, volume 2.40 × 10⁻³ m³ and temperature 300 K. Using R = 8.31 J mol⁻¹ K⁻¹, calculate the amount of gas.
[3]Show all necessary working.
A. n = pV/(RT) = 0.106 mol.
✅ Correct! 😊 Correct. pV and RT have compatible joule-based units, leaving the amount in moles.
B. n = RT/(pV) = 9.44 mol.
❌ Not quite 😭 This inverts the ideal-gas rearrangement. From pV = nRT, the amount is pV divided by RT.
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C. n = pVT/R = 9.53 × 10³ mol.
❌ Not quite 😭 Temperature is placed in the numerator instead of the denominator. The expression also fails the intended dimensional cancellation.
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D. n = p/(VRT) = 1.84 × 10⁴ mol.
❌ Not quite 😭 This divides by volume even though pV forms the energy term in the ideal-gas equation. It is not the required rearrangement.
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Full explanation
- Step 1Start from pV = nRT and rearrange to n = pV/(RT).
- Step 2Calculate pV = (1.10 × 10⁵)(2.40 × 10⁻³) = 264 J.
- Step 3Calculate RT = (8.31)(300) = 2493 J mol⁻¹.
- Step 4Hence n = 264/2493 = 0.1059 mol ≈ 0.106 mol.
Practice 2: Energy during a change of state
A solid melts at constant temperature.
A 0.20 kg solid has specific latent heat of fusion 3.0 × 10⁵ J/kg. Calculate the energy needed to melt it completely.
[3]Show all necessary working.
A. Use Q = mL to obtain 6.0 × 10⁴ J.
✅ Correct! 😊 Correct. Latent heat changes the state without a temperature change, so mass is multiplied by specific latent heat.
B. Use Q = mcΔT, taking ΔT = 0, to obtain 0 J.
❌ Not quite 😭 The temperature is constant, but energy is still required for the phase change. The specific latent heat relation is needed.
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C. Use Q = L/m to obtain 1.5 × 10⁶ J.
❌ Not quite 😭 Specific latent heat is energy per kilogram, so total energy is mL, not L divided by mass.
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D. Use Q = m/L to obtain 6.7 × 10⁻⁷ J.
❌ Not quite 😭 This rearrangement has incorrect dimensions for energy. Multiplying kg by J/kg is what leaves joules.
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Full explanation
- Step 1A change of state at constant temperature uses specific latent heat, not a temperature-rise equation.
- Step 2Use Q = mL.
- Step 3Substitute Q = (0.20 kg)(3.0 × 10⁵ J/kg).
- Step 4Calculate Q = 6.0 × 10⁴ J.
Key terms for Unit 8: Thermal Physics
Models, uses, and boundaries
- Thermal Physics
- The ideal-gas relation balances pressure–volume energy with amount times RT. Use this relationship when the ideal-gas relation balances pressure–volume energy with amount times RT..
- Worked example: absolute temperature, ideal gases and energy transfer
- Rearranging pV = nRT isolates moles after the joule units cancel. Use this relationship when rearranging pV = nRT isolates moles after the joule units cancel..
- Thermal Physics: change one condition
- The plotted temperatures of 325 K and 362 K lead to different pressures on the inverse curve. Use this relationship when the plotted temperatures of 325 K and 362 K lead to different pressures on the inverse curve..
- Thermal Physics: test proposed results
- Any proposed gas amount must use kelvin and preserve the 10⁻³ volume conversion. Use this relationship when any proposed gas amount must use kelvin and preserve the 10⁻³ volume conversion..
Cambridge International AS & A Level Physics (9702) Unit 8 FAQ
How much of Cambridge International AS & A Level Physics (9702) does Unit 8 carry?
Cambridge International does not publish a per-unit weighting for this exam.
What is the first move on a Thermal Physics problem?
Set pV = nRT
Which relationships should I preserve?
Gas state: Pressure, volume and temperature belong to one sample. Temperature: The supplied value is 300 K. Amount: 264 J is divided by 2493 J mol⁻¹.
Which representations should I practice?
Practice moving among A graph of pressure (kPa) against temperature (K)., A formula card that explains the ideal-gas relation balances pressure–volume energy with amount times rt., A table linking key concept, why it matters, visible method..
What error should I check before submitting an answer?
Check for Substituting a Celsius value or omitting the volume prefix; Treating the curve as p directly proportional to T; Swapping temperature and pressure.
Evidence workshop
Continue from the free model into complete practice
The full unit guide continues with the chapter’s worked examples, figures, scoring tables, and answer checks.
- Worked example: absolute temperature, ideal gases and energy transfer
- Thermal Physics: change one condition
- Thermal Physics: test proposed results
- Check the worked-example evidence for Thermal Physics
Full unit practice. Open the complete guide for the full evidence workshop and synthesis.
Related Cambridge International AS & A Level Physics (9702) unit guides
Cambridge International AS & A Level Physics (9702) Exam Guide & Review
The whole exam and its official unit sequence.01Physical Quantities and Units
Cambridge International does not publish a per-unit weighting for this exam.02Kinematics and Dynamics
Cambridge International does not publish a per-unit weighting for this exam.03Forces, Energy and Deformation of Solids
Cambridge International does not publish a per-unit weighting for this exam.04Waves and Superposition
Cambridge International does not publish a per-unit weighting for this exam.05Electricity and D.C. Circuits
Cambridge International does not publish a per-unit weighting for this exam.06Particle Physics
Cambridge International does not publish a per-unit weighting for this exam.07Circular Motion, Gravitational Fields and Oscillations
Cambridge International does not publish a per-unit weighting for this exam.09Electric Fields and Capacitance
Cambridge International does not publish a per-unit weighting for this exam.10Magnetic Fields and Alternating Currents
Cambridge International does not publish a per-unit weighting for this exam.11Quantum and Nuclear Physics
Cambridge International does not publish a per-unit weighting for this exam.12Medical Physics, Astronomy and Cosmology
Cambridge International does not publish a per-unit weighting for this exam.How to study Cambridge International AS & A Level Physics (9702) Unit 8
Start with the organizing decision
Before solving, restate the decision in operational terms: Track joules on both sides of pV = nRT so that their cancellation leaves the amount of gas in moles.. Your first written move should be to Set pV = nRT.
Practice the same idea in several representations
Rotate through A graph of pressure (kPa) against temperature (K)., A formula card that explains the ideal-gas relation balances pressure–volume energy with amount times rt., A table linking key concept, why it matters, visible method.. Use each representation to practice Thermal Equilibrium and Temperature Scales (A Level), Specific Heat Capacity and Specific Latent Heat (A Level), The Mole and the Ideal Gas Equation of State (A Level), Kinetic Theory of Gases (A Level), Internal Energy and the First Law of Thermodynamics (A Level), and explain what stays invariant when the surface form changes.
Turn each error into a repair check
After every attempt, audit the response for Substituting a Celsius value or omitting the volume prefix; Treating the curve as p directly proportional to T; Swapping temperature and pressure. Then redo only the first step that made the reasoning diverge, keeping units, direction, and model conditions visible.
Confirm current course details in the official Cambridge International syllabus for the 2025-2027 administration.
Where to go next
Return to the Cambridge International AS & A Level Physics (9702) to see every unit and plan your revision.