CSEC PHYSICS · SECTION B · LESSON B5

Specific Heat Capacity

Heat capacity and specific heat capacity, the equation Q = mcΔθ, determining c for metals and liquids by the electrical method and the method of mixtures, and sources of error.

Thermal Physics and Kinetic TheoryB 3.1B 3.2B 3.3≈ 45 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 B5 · EXPLAINER

Specific Heat Capacity

A Caribbean beach is too hot to walk on at noon, yet the sea beside it is pleasantly cool. Water needs far more energy than sand to change its temperature.

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

Step 2 · Read

Key notes

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

Heat capacity C

Energy to raise the temperature of the whole object by 1 °C; J/°C.

Specific heat capacity c

Energy to raise 1 kg by 1 °C; J/kg °C.

Relationship

C = mc.

Equation

Q = mcΔθ.

Water

c = 4 200 J/kg °C.

Electrical method

E = Pt = VIt; c = E ÷ mΔθ.

Method of mixtures

Heat lost by hot body = heat gained by cold body.

Errors

Heat lost to surroundings makes c too large; lag and use oil, stir.

EXAM TIPS & COMMON MISTAKES

  • Δθ is the CHANGE in temperature, not the final temperature.
  • For the electrical method, name the quantities measured: V, I, t, m, θ before and after.
  • Say which way the error goes: heat loss gives c too large.
  • Convert grams to kilograms before using Q = mcΔθ.
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 3.1

1. The unit of specific heat capacity is

Answer: C. Energy per kilogram per degree.
Syllabus B 3.2

2. The energy needed to raise 2.0 kg of water (c = 4 200 J/kg °C) by 10 °C is

Answer: D. 2.0 × 4 200 × 10 = 84 000 J.
Syllabus B 3.1

3. The heat capacity of an object of mass 0.50 kg and c = 400 J/kg °C is

Answer: A. C = mc = 0.50 × 400.
Syllabus B 3.3

4. In the electrical method for finding c, the energy supplied is found from

Answer: A. E = Pt = VIt.
Syllabus B 3.3

5. A block of mass 0.40 kg is heated by 60 W for 100 s and its temperature rises by 25 °C. The value of c is

Answer: B. E = 6 000 J; c = 6 000 ÷ (0.40 × 25) = 600.
Syllabus B 3.3

6. Heat lost to the surroundings in the electrical method makes the calculated c

Answer: C. The temperature rise is smaller than it should be.
Syllabus B 3.3

7. Putting a little oil in the thermometer hole of a metal block

Answer: D. Oil conducts heat better than air.
Syllabus B 3.3

8. In the method of mixtures, which is assumed?

Answer: A. Energy is conserved if there is no loss.
Step 4 · Apply

Paper 2 practice — structured questions

Write full answers, then reveal the mark scheme and tick the points you earned (15 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Paper 2 style · Specific heat capacity

Question 1 [15 marks]

A 0.50 kg aluminium block is heated by a 100 W electric heater for 180 s. Its temperature rises from 20 °C to 60 °C. A calculator may be used.

(a) (a) Define specific heat capacity. [2]

MARK SCHEME — (a) (max 2)

(b) (b) Calculate the energy supplied by the heater. [3]

MARK SCHEME — (b) (max 3)

(c) (c) Calculate the specific heat capacity of aluminium. [3]

MARK SCHEME — (c) (max 3)

(d) (d) The accepted value is 900 J/kg °C. State two ways to ensure the temperature reading is as accurate as possible. [2]

MARK SCHEME — (d) (max 2)

(e) (e) State the effect of heat lost to the surroundings on the calculated value of c, with a reason. [2]

MARK SCHEME — (e) (max 2)

(f) (f) Explain why sea water stays cooler than sand during the day. [3]

MARK SCHEME — (f) (max 3)

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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.