Quantity of Heat: JAMB Physics Questions, Answers & Notes

What Quantity of Heat covers in the JAMB Physics syllabus

The heat needed to change a body's temperature is Q = mcθ, where m is mass, c the specific heat capacity (heat to raise 1 kg by 1 K, in J/kg·K) and θ the temperature change (same size in K or °C). Heat capacity C = mc (J/K) applies to a whole body. A high specific heat capacity means a substance heats and cools slowly — which is why water, with its very high c, is used as a coolant. The method of mixtures determines c using conservation of energy: heat lost by a hot body = heat gained by a cold one (in an insulated calorimeter).

For Quantity of Heat, JAMB expects you to be able to:

• Apply Q = mcθ to calculate heat, specific heat capacity and temperature change
• Distinguish specific heat capacity from heat capacity
• Use the method of mixtures and the idea of heat gained = heat lost

Key facts & revision notes: Quantity of Heat

These are the recurring points our Quantity of Heat questions test — revise them until each feels automatic, then practise the questions above to lock them in.

• Q = mcθ, where m is mass, c is specific heat capacity and θ is the temperature change.
• Specific heat capacity c is the heat to raise the temperature of 1 kg of a substance by 1 K (or 1 °C).
• Specific heat capacity is measured in joules per kilogram per kelvin (J/kg·K).
• Q = mcθ = 2 × 4200 × 10 = 84000 J.
• Heat capacity C = mc is the heat needed to raise the whole body's temperature by 1 K.
• Heat capacity is measured in joules per kelvin (J/K).
• A high specific heat capacity means more heat is needed per degree, so it heats and cools slowly.
• Water's high specific heat capacity lets it absorb a lot of heat with a small temperature rise.
• c = Q/(mθ) = 4200/(1 × 1) = 4200 J/kg·K.
• The method of mixtures determines specific (or latent) heat capacity using heat gained = heat lost.
• By conservation of energy (ignoring losses), heat lost by the hot body = heat gained by the cold body.
• c = Q/(mθ) = 4600/(0.5 × 20) = 4600/10 = 460 J/kg·K.
• Heat capacity C = mc = 2 × 500 = 1000 J/K.
• The calorie is another unit of heat energy (1 cal ≈ 4.2 J).
• A change of temperature is the same number in K or °C, since the degree sizes are equal.
• Q = mcθ = 3 × 800 × 25 = 60000 J.
• With less heat needed per degree (smaller c), the same heat produces a larger temperature rise.
• A calorimeter is a well-insulated container used to measure heat quantities while minimising heat loss.
• Specific heat capacity is a property of the material itself, independent of its mass or shape.
• Q = Cθ → θ = Q/C = 1500/300 = 5 K.
• c is the specific heat capacity.
• Q = mcθ = 3 × 4200 × 10 = 126 000 J.
• Water's specific heat capacity is about 4200 J/kg·K.
• C = mc = 4 × 500 = 2000 J/K.

Worked examples

Three Quantity of Heat questions with the answer and a short explanation, so you can see how the topic is set before you practise the full set.

How Quantity of Heat is tested in JAMB Physics

Our Quantity of Heat bank holds 40 questions (6 easy, 25 medium, 9 hard). JAMB Physics typically returns to Quantity of Heat year after year, so steady practice on this topic is high-value revision. Questions are multiple-choice with four options, and at UTME pace you get roughly 40 seconds each — which is why timed practice matters.

How to answer Quantity of Heat questions

Work the stem first and predict the answer before you look at the options; then eliminate the ones that contradict the key facts above. Watch for “which is not…”, “all of the above” and “except” style stems, which are where rushed candidates lose easy marks on Quantity of Heat. If a calculation or a precise definition is involved, work it from first principles rather than guessing from a half-remembered rule. When two options look right, re-read the stem for the qualifier that separates them — JAMB rarely repeats an option by accident. If you are still unsure, eliminate the two weakest choices to lift your odds, flag the question, and move on; never burn a full minute on one Physics item when the exam gives you about forty seconds each. Then come back to flagged questions with whatever time remains. The single most reliable way to get faster at Quantity of Heat is repeated timed practice, so use the button above until the recurring patterns feel automatic.

Common mistakes to avoid in Quantity of Heat

The errors that cost marks on Quantity of Heat are usually careless rather than conceptual: misreading a negative stem, confusing two similar terms, or rushing a definition you actually know. Candidates also over-rely on “expo” and last-minute cramming instead of understanding the topic — which fails the moment JAMB rephrases a familiar idea. Treat every option as a claim to be checked against the facts above, keep your working tidy for any calculation, and don’t change a considered answer on a hunch. Above all, revise Quantity of Heat actively by answering questions, not just by re-reading notes — recall under time is what the exam rewards.

Frequently asked questions

Is Quantity of Heat part of the JAMB Physics syllabus?

Yes. Quantity of Heat is a recognised topic in the JAMB Physics syllabus, covering apply Q = mcθ to calculate heat, specific heat capacity and temperature change. You should be able to recall its key facts and apply them to multiple-choice questions.

How many Quantity of Heat questions can I practise on Belmadeng?

There are 40 original, JAMB-standard Quantity of Heat questions in our free bank, each with the correct answer and a worked explanation. You can practise them untimed or as a timed test.

What are the most important points to know about Quantity of Heat?

The heat needed to change a body's temperature is Q = mcθ, where m is mass, c the specific heat capacity (heat to raise 1 kg by 1 K, in J/kg·K) and θ the temperature change (same size in K or °C). Heat capacity C = mc (J/K) applies to a whole body. A high specific heat capacity means a substance hea…

How do I answer Quantity of Heat questions quickly in JAMB?

Read the stem carefully, eliminate clearly wrong options, and match the remaining choices to the key facts for Quantity of Heat. Practising timed Quantity of Heat questions builds the speed you need for UTME's pace of about 40 seconds per question.

Are these JAMB Physics Quantity of Heat questions past questions or original?

They are original questions written to JAMB (UTME) standard and mapped to the official syllabus — not reproduced past papers. This keeps them legal to use freely while closely mirroring how the real exam tests the topic.

Where can I practise Quantity of Heat questions free without signing up?

Right here — tap “Start Quantity of Heat practice” on this page to begin instantly. Belmadeng's CBT practice is completely free and needs no sign-up, download or subscription.

About these questions: original, JAMB-standard items written from the official UTME Physics syllabus (last reviewed 2026-09-18). Belmadeng is an independent study platform and is not affiliated with JAMB. Spotted an error? Use the report link.