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Specific Latent Heat

Key Stage 4

Meaning

Specific Latent Heat is the energy required to change the state of 1kg of a substance.

About Specific Latent Heat

The SI Unit of specific latent heat is the J/kg.
Different materials have a different specific latent heat.
Specific latent heat depends on the strength of the bonds holding the particles to each other.
The specific latent heat of a material can be found by measuring the energy needed to change the state of the material.
MeltingGraph.png
BoilingGraph.png
The increase internal energy during the time when the temperature remains constant is the energy required to melt the material. This can be used to calculate the specific latent heat of fusion. The increase internal energy during the time when the temperature remains constant is the energy required to vaporise the material. This can be used to calculate the specific latent heat of vaporisation.

Equation

NB: You do not need to remember this equation but you need to be able to use it.

Specific Latent Heat = (Energy Transferred)/(Mass)

\(L = \frac{E}{m}\)

Where

\(L\) = The Specific Latent Heat of the material.

\(E\) = The Energy transferred to the material during the state change.

\(m\) = The mass of the material.

Example Calculations

An 11kg block of ice at 0°C is heated by an immersion heater until it completely melts. The immersion heater is connected to a Joulemeter which reads 3.7MJ. Calculate the specific latent heat of fusion of the water ice correct to two significant figures. A pan containing 500g of water at 100°C is heated with an energy of 1.13kJ until all of the water has been vaporised. Calculate the specific latent heat of vaporisation of the water steam correct to two significant figures.
1. State the known quantities in SI Units

E = 3.7MJ = 3.7x106J

m = 11kg

1. State the known quantities in SI Units

E = 1.13kJ = 1.13x103J

m = 500g = 0.5kg

2. Substitute the numbers into the equation and solve.

\(L_f = \frac{E}{m}\)

\(L_f = \frac{3.7 \times 10^6}{11}\)

\(L_f = 3.36363 \times 10^5 J/kg\)

\(L_f \approx 3.4 \times 10^5 J/kg\)

2. Substitute the numbers into the equation and solve.

\(L_v = \frac{E}{m}\)

\(L_v = \frac{1.13 \times 10^3}{0.5}\)

\(L_v = 2260 J/kg\)

\(L_v \approx 2300 J/kg\)

References

AQA

Specific latent heat of fusion, page 84, GCSE Physics; Third Edition, Oxford University Press, AQA
Specific latent heat of vaporisation, page 85, GCSE Physics; Third Edition, Oxford University Press, AQA
Specific latent heat, page 103, GCSE Combined Science Trilogy; Physics, CGP, AQA
Specific latent heat, page 113, GCSE Physics; The Complete 9-1 Course for AQA, CGP, AQA
Specific latent heat, page 196, GCSE Combined Science; The Revision Guide, CGP, AQA
Specific latent heat, page 196, GCSE Combined Science; The Revision Guide, CGP, AQA
Specific latent heat, page 40, GCSE Physics; The Revision Guide, CGP, AQA
Specific latent heat, pages 327-8, GCSE Combined Science Trilogy 1, Hodder, AQA
Specific latent heat, pages 75-6, GCSE Physics, Hodder, AQA
Specific latent heat, pages 84-85, GCSE Physics; Third Edition, Oxford University Press, AQA
Specific latent heat; of fusion, pages 83, 95-6, GCSE Physics; Student Book, Collins, AQA
Specific latent heat; of vaporisation, pages 83, 95-6, GCSE Physics; Student Book, Collins, AQA

Edexcel

Specific latent heat, page 187, GCSE Physics, Pearson Edexcel
Specific latent heat, page 203, GCSE Combined Science; The Revision Guide, CGP, Edexcel
Specific latent heat, page 96, GCSE Physics; The Revision Guide, CGP, Edexcel
Specific latent heat, pages 307-309, GCSE Physics, CGP, Edexcel

OCR

Specific latent heat (J/Kg), pages 30-31, Gateway GCSE Physics, Oxford, OCR
Specific latent heat, page 154, Gateway GCSE Combined Science; The Revision Guide, CGP, OCR
Specific latent heat, page 16, Gateway GCSE Physics; The Revision Guide, CGP, OCR