Specific latent heat Cambridge International AS & A Level Physics revision
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In plain words
Keep heating ice at 0 °C and, strangely, it doesn't get any warmer. It just melts. All the energy is going into pulling the molecules apart rather than speeding them up. The energy needed to change the state of each kilogram is called the specific latent heat.
Three things to know
- The specific latent heat L is the energy per unit mass needed to change the state of a substance at constant temperature. ΔE = LΔm. Units: J/kg.
- Latent heat of fusion is for melting or freezing. Latent heat of vaporisation is for boiling or condensing, and it is much bigger, because the molecules have to be separated completely.
- During a change of state the temperature stays the same. The energy increases the potential energy of the molecules, not their kinetic energy.
Worked example
Find the energy needed to turn 0.50 kg of ice at 0 °C into water at 20 °C. (Specific latent heat of fusion of ice = 3.3 × 10⁵ J/kg; specific heat capacity of water = 4200 J kg⁻¹ K⁻¹.)
- To melt it: 0.50 × 3.3 × 10⁵ = 165 000 J.
- To warm the water: 0.50 × 4200 × 20 = 42 000 J.
- Total = 207 000 J, about 2.1 × 10⁵ J.
Tips and tricks
- Treat changing state (use L) and changing temperature (use c) as separate stages, and add the energies.
- To measure L for boiling: boil the liquid with a heater of known power and measure the mass that boils away in a known time. L = Pt ÷ Δm.
It lands in your notebook with its questions as flashcards.
Specific latent heat: 5 questions and answers
These are the quiz’s questions. Do the quiz first, then come back here for the ones that got you.
What happens to the temperature of a liquid while it is boiling?
The energy goes into changing the state.
What are the units of specific latent heat?
Energy per unit mass.
For water, which is bigger?
Turning a liquid into a gas means separating the molecules completely.
How much energy is needed to melt 2.0 kg of ice at 0 °C? (L = 3.3 × 10⁵ J/kg.)
ΔE = LΔm.
While a solid melts, what does the energy supplied increase?
The molecules move further apart, but no faster.
Quiz
5 questions
Tap an answer and you’ll see straight away whether it’s right, and why.
Worksheet
3 questions, 7 marks. Write your answers on paper, then check them.
Specific latent heat
Cambridge International AS & A Level Physics 9702 · 7 marks · papermunch.org
Name ______________________________ Date ______________
Find the energy needed to boil away 0.20 kg of water at 100 °C. (L = 2.3 × 10⁶ J/kg.)[2]
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4.6 × 10⁵ J.
A 60 W heater melts 0.036 kg of ice at 0 °C in 200 s. Find the specific latent heat of fusion of ice.[3]
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3.3 × 10⁵ J/kg. 12 000 J ÷ 0.036 kg.
Explain why the temperature of a solid stays the same while it melts, even though it is being heated.[2]
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The energy supplied is used to break the bonds between molecules, increasing their potential energy. Their kinetic energy does not change, so the temperature does not change.
Answers: Specific latent heat
- 1. 4.6 × 10⁵ J.
- 2. 3.3 × 10⁵ J/kg. 12 000 J ÷ 0.036 kg.
- 3. The energy supplied is used to break the bonds between molecules, increasing their potential energy. Their kinetic energy does not change, so the temperature does not change.



