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IGCSE · Cambridge (CIE) · 0972

Explain warming through average particle kinetic energy

Connect increased temperature to the particles' average kinetic energies without assigning every particle the same speed.

Specific heat capacity pathway · 0972 (9–1) · 2.2.2
Exam scope and assessment notes

Extended only (Supplement) · Physics 0972, 2026–2028, section 2.2.2. These lessons explain average particle kinetic energy, calculate specific heat capacity and describe solid/liquid methods. Written calculations and method analysis are self-checked; human subject-teacher review, supervised practical competence and cumulative assessment remain pending. Cambridge states that IGCSE 0972 has the same subject content as IGCSE 0625, with 9–1 grading. This StudyForA pathway maps the 2026–2028 syllabus only. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. Cambridge has published a separate syllabus for 2029. StudyForA has not reconciled that version yet; this page supports exams in 2026, 2027 and 2028 only.

Before you begin

  • Describe particles in solids, liquids and gases.
  • Know that warming a given object increases internal energy.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

How can a stationary solid have increased particle kinetic energy?

What you will learn

  • Describe increased temperature as increased average kinetic energies of the particles in the object.
  • Distinguish microscopic motion from bulk movement and particle growth.
An original controlled qualitative comparison shows representative motion arrows for the same particle type in cooler and hotter gas samples, with greater average motion in the hotter account. The selected arrows illustrate motion without a calibrated speed or an assertion of identical individual speeds. The selected syllabus uses absolute zero −273°C with least kinetic energy; it is not a universal claim that every kind of motion vanishes.Same particle type · compare averagesSelected arrows suggest motionCoolerHotterHotter: greater average kinetic energyIndividual speeds can still differAbsolute zero: −273°C in this syllabusLeast kinetic energy · not an all-motion claim
An original controlled qualitative comparison shows representative motion arrows for the same particle type in cooler and hotter gas samples, with greater average motion in the hotter account. The selected arrows illustrate motion without a calibrated speed or an assertion of identical individual speeds. The selected syllabus uses absolute zero −273°C with least kinetic energy; it is not a universal claim that every kind of motion vanishes.

Temperature concerns an average

An increase in the object's temperature corresponds to an increase in the average kinetic energies of its particles. Solid particles vibrate about relative positions; liquid and gas particles also move between positions. A warmer stationary object can therefore have increased microscopic kinetic motion without its centre moving along the bench.

Particles in a sample do not all have the same instantaneous speed or kinetic energy. The word average matters: the temperature rise does not require every individual particle to gain the same amount at every instant. The diagram compares representative motion qualitatively; arrow lengths do not provide measured speeds or a numerical distribution.

Internal energy includes interactions

Internal energy includes microscopic kinetic energy and energy associated with particle interactions and arrangement. Within a state, a temperature rise is described by increased average kinetic energies. During a state change at constant temperature, interactions and arrangement can change without the same rise in average kinetic energy. Do not reduce all internal energy to a thermometer reading.

Heating does not require the particles themselves to become larger or new particles to be manufactured. Greater vibration or movement is a microscopic description, not the bulk speed of a moving block. State changes and average separation need their own conditions; this temperature explanation alone does not prove that every warmed object is freely expanding.

Pause and explain

Which warming explanation preserves the word average?

Put the idea to work

Worked example

A solid block remains stationary and solid while its temperature rises. Explain using particles.

Show the worked solution
  1. Particles vibrate about relative positions.
  2. Their average kinetic energies increase.
  3. The block can remain stationary as a whole; neither particle growth nor identical individual speeds is required.

Answer Increased average particle kinetic energies explain the temperature rise.

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From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

Describe particles in a solid before and after warming within the solid state.

Give me a hint

Use vibration and an average-energy comparison.

Compare my reasoning
  1. Solid particles vibrate about relative positions.
  2. After warming, their average kinetic energies are greater.
  3. The object need not move as a whole or melt.

More energetic average vibrations, while remaining solid.

Look for these in your work

  • Describe microscopic motion.
  • Keep the average and stated state explicit.
2 · Independent

A liquid warms without boiling. Explain why a description that every molecule acquires one identical speed is too strong.

Give me a hint

A temperature describes the ensemble rather than an identical-speed assignment.

Compare my reasoning
  1. Liquid particles have varied instantaneous motion.
  2. The average kinetic energies increase as temperature rises.
  3. This does not establish identical speeds or a state change.

Average kinetic energies increase; individual speeds need not become identical.

Look for these in your work

  • Use the average correctly.
  • Do not invent boiling from warming alone.
3 · Transfer

A pure material melts at constant temperature in a model. Does ongoing energy input require its average particle kinetic energy to keep rising? Explain.

Give me a hint

Separate kinetic motion from interaction and arrangement energy.

Compare my reasoning
  1. Constant temperature does not imply the warming kinetic-energy rise.
  2. Energy still enters during melting.
  3. Internal energy can increase through changing interactions and arrangement.

No ongoing average-kinetic-energy rise is required during the constant-temperature melting stage.

Look for these in your work

  • Respect the plateau condition.
  • Keep internal energy broader than kinetic energy alone.

Common mistakes

  • Average does not mean every particle has the same speed.
  • Solid particles vibrate; they are not motionless.
  • Internal energy also includes interaction/arrangement energy.
Recall without your notes

What can you explain now?

Does a higher temperature mean every particle has one identical speed?

Compare with the explanation

No.

The explanation concerns an average over varied microscopic motion.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

Explain a temperature rise with average particle kinetic energies, then contrast a constant-temperature phase change.

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Physics (9-1)

Course scope and assessment

491 sequenced Physics lessons provide 1473 guided, independent and application problems. 58 of 58 syllabus sections have full linked teaching sequences; 0 sections remain pending. Three earlier starter overviews remain available but are not counted as full sequences. The map covers all six subject areas for 2026–2028 and keeps review and assessment limits visible. This is available content, not full programme completion, an exam grade or certified mastery. Written practice is self-checked. Supervised practical experience, cumulative assessment and human subject-teacher review remain pending. Paper method exercises do not demonstrate practical competence or complete either practical-assessment route. This is the separate 9–1 qualification 0972; Cambridge states that its 2026–2028 subject content is otherwise the same as 0625. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. The 2029 syllabus is separately published at https://www.cambridgeinternational.org/Images/764368-2029-syllabus.pdf and is not yet mapped here. This course supports exams in 2026, 2027 and 2028 only.

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