England · Particle model of matter · PM-U2

PM-03 · Internal energy, temperature and heating

Planned lecture content and an original worked practice example. Read the scope labels before using Higher or separate-Physics branches.

Status

Lecture detail

PM-03 · PM-U2 · Planned

Internal energy, temperature and heating

  • ScopeShared
  • Difficulty2 / 4 · proposed
  • Time25–30 min · estimated
  • StatusPlanned

Learning objectives

Distinguish internal energy and temperature; relate heating to kinetic/potential particle energy changes.

8463 §§4.3.2.1–4.3.2.2 / 8464 §§6.3.2.1–6.3.2.2

DfE single-science pp.42–43 / Combined pp.35. Evidence checked 30 September–1 October 2026. Skills: WS1.2,3.6; MS3b,3c.

Needs firstEN-08,PM-01

Explanation

Internal energy includes the kinetic and potential energies of all particles. Temperature relates to particle motion but does not measure the total internal energy of a sample. Equal temperature does not imply equal energy when masses or materials differ.

Concepts, equations and units: Internal energy=sum particle kinetic and potential energies; ΔE=mcΔθ for temperature change without phase change; J,kg,J/(kg °C),°C.

Prediction, demonstration and game exercise

Predict, observe, explain

Compare samples at equal temperature but different mass; interpret particle animation as a model.

Planned learner game exercise

Give equal thermal inputs to selectable samples; predict temperature change then annotate particle changes.

Independent practice

Two ΔE calculations and an explanation of equal temperature/different internal energy.

Original practice example · Shared

Two samples of the same material are at the same temperature, but one has twice the mass. Must their internal energies be equal?

Show working and model answer

Working / reasoning

No: temperature is not total internal energy, and the larger sample contains more particles under comparable conditions.

Answer

No; the larger sample has a greater total internal energy under the stated comparable conditions.

Exit check and success criteria

Both calculations correct and internal energy includes both particle contributions.

During practice, compare the prediction with evidence and give an error-specific prompt. The exit item uses a fresh context or fresh values, answered independently.

Misconceptions, practical links and mastery

Check these misconceptions

Temperature measures total energy; heat is contained as a substance; particles get bigger when heated.

Practical preparation

RP-P1/RP-C14 conceptual revisit; no additional RP.

Virtual preparation and revision only. Required hands-on activities and school records remain separate.

Proposed mastery

0: not yet evidenced. 1: supported. 2: independent exit criteria met. 3: successful changed-context transfer. Advance at 2; revisit with fresh retrieval. These are not GCSE grades.

Unit assessment

Continue through the unit

Sources and full programme

Sources checked 30 September–1 October 2026. Specifications govern content; textbooks supplement it. England has no single prescribed Physics course book. The full planning document includes sourced comparisons of Collins separate Physics and Trilogy books, Hodder/Hachette Physics and Oxford Physics listings, with access/approval limitations.

Download the complete Markdown programme and coverage matrix

A subsection map is proposed coverage. Clause-level educator review, item moderation, model validation and hands-on provision remain release gates. No all-board alignment or exam-board endorsement is claimed.