GCSE Combined Science revision · Physics: energy, electricity, particles and atoms

Specific heat capacity and latent heat

The idea

Internal energy is the total kinetic and potential energy of the particles in a system. Heating raises the temperature or changes the state. Specific heat capacity is the energy needed to raise the temperature of 1 kg by 1 °C: ΔE = mcΔθ. Specific latent heat is the energy needed to change the state of 1 kg with no change in temperature: E = mL. Latent heat of fusion is for melting; of vaporisation is for boiling.

  1. Is the temperature changing? Use ΔE = mcΔθ.
  2. Is the state changing? Use E = mL.
  3. Use kg, J/kg °C and J/kg.

Watch out During a change of state the temperature stays the same: energy is taken in when melting or boiling and released when freezing or condensing.

See it worked

Worked example

How much energy is needed to heat 2.0 kg of water from 20 °C to 70 °C? (c = 4200 J/kg °C)

  1. Δθ = 70 − 20 = 50 °C.
  2. ΔE = 2.0 × 4200 × 50 = 420 000 J.

Answer 420 000 J

Your turn

Question 1Calculator allowed2 marks

How much energy, in joules, is needed to melt 0.5 kg of ice? (Specific latent heat of fusion of ice = 334 000 J/kg)

Question 2Calculator allowed2 marks

A 0.5 kg metal block is given 9000 J and its temperature rises by 20 °C. What is its specific heat capacity in J/kg °C?

Question 3Calculator allowed1 mark

While water is boiling, its temperature:

Choose one

In past papers

48 official questions in 43 papers since 2018. The latest:

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Independent practice for AQA GCSE Combined Science: Trilogy (8464), not endorsed by AQA.

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