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Physics · Particle model of matter

Specific latent heat

Use \(E = mL\) to calculate the energy for a change of state, interpret heating and cooling graphs, and distinguish specific heat capacity from specific latent heat.

  • 6 key terms
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Teacher resources

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Student handouts

The same files the students see, to print or hand out.

Warm-up

Answer each one, then check.

  1. 1

    What happens to temperature during melting?

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    It stays constant

  2. 2

    What is the unit of energy?

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    Joule

  3. 3

    What is the equation for a temperature change?

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    \(\Delta E = mc\Delta\theta\)

  4. 4

    Name the change from liquid to gas.

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    Boiling / evaporating

  5. 5

    What is internal energy?

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    Total kinetic and potential energy of the particles

Learning Objectives

  1. 1Define specific latent heat and distinguish fusion from vaporisation.
  2. 2Apply \(E = mL\).
  3. 3Interpret heating and cooling graphs that include changes of state.
  4. 4Distinguish specific heat capacity from specific latent heat.

SPECIFIC LATENT HEAT

The specific latent heat of a substance is the energy needed to change the state of 1 kg of the substance with no change in temperature.

\(E = mL\) is given on the equation sheet. Specific latent heat of fusion: solid to liquid. Specific latent heat of vaporisation: liquid to gas. L is in J/kg.

Two Different Ideas

Specific heat capacity

  • Energy to raise the temperature of 1 kg by 1 °C.
  • The temperature changes.
  • \(\Delta E = mc\Delta\theta\); J/kg °C.

Specific latent heat

  • Energy to change the state of 1 kg with no temperature change.
  • The temperature stays the same.
  • \(E = mL\); J/kg.

Melting Ice

Calculate the energy needed to melt 0.20 kg of ice at 0 °C. Specific latent heat of fusion of water = 334 000 J/kg.

Show the solutionHide the solution
  1. 1 Write the equation \(E = mL\)
  2. 2 Substitute \(E = 0.20 \times 334\,000\)
  3. 3 Answer \(E = 66\,800\) J

Answer66 800 J

Boiling Water

Calculate the energy to change 0.50 kg of water at 100 °C into steam. Specific latent heat of vaporisation = 2 260 000 J/kg.

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  1. 1 Substitute \(E = 0.50 \times 2\,260\,000\)
  2. 2 Answer \(E = 1\,130\,000\) J

Answer1 130 000 J (1.13 MJ)

Reading the Graph

Explain why the temperature stays constant during section B of the heating curve.

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  1. 1 Energy is still supplied The particles are gaining energy
  2. 2 Where it goes It increases the potential energy of the particles as the bonds are broken
  3. 3 So The average kinetic energy, and the temperature, stay the same

AnswerThe energy supplied breaks the bonds (changing potential energy) so the temperature does not rise.

Why Steam Burns More

A favourite exam idea.

  • Condensing

    Steam at 100 °C condenses to water at 100 °C and releases a lot of latent heat.

  • Then

    The water then cools and releases more energy.

  • So

    Steam transfers more energy to skin than boiling water at the same temperature.

Read the Curve

On a heating curve for water there are flat sections at 0 °C and 100 °C. Explain what is happening in each and why the second is longer.

1. Name each change.

2. Compare the latent heats.

A good answer shows: At 0 °C the ice is melting; at 100 °C the water is boiling. The boiling section is longer because the latent heat of vaporisation is much greater than the latent heat of fusion.

Can I...?

  1. 1State what specific latent heat is.
  2. 2Distinguish fusion from vaporisation.
  3. 3Use \(E = mL\).
  4. 4Read a heating curve.
  5. 5Explain flat sections.
  6. 6Distinguish c from L.
  7. 7Explain steam burns.
  8. 8Give units of L.

Summary & Exam Focus

  • \(E = mL\).
  • Temperature is constant during a change of state.
  • Heating curves have flat sections at melting and boiling points.
  • Distinguish c and L.

Exam focus

Calculate the energy needed to melt 0.35 kg of ice at 0 °C. Specific latent heat of fusion = 334 000 J/kg. (2 marks) (2 marks)

Multiply mass by L.

Key terms

The vocabulary this lesson expects you to use. Each one is linked from the first place it appears above.

Specific latent heat
Energy to change the state of 1 kg with no temperature change.
Latent heat of fusion
For solid to liquid.
Latent heat of vaporisation
For liquid to gas.
Heating curve
A temperature-time graph for a heated substance.
Constant temperature
Temperature that does not change during a change of state.
Potential energy
Energy stored due to the forces between particles.

Questions and answers

10 questions set on this lesson, with the mark schemes and model answers open.

1. Exam question Calculate 2 marks Easier

Calculate the energy needed to melt 0.35 kg of ice at 0 °C. The specific latent heat of fusion of water is 334 000 J/kg. Use the equation: energy for a change of state = mass × specific latent heat

Mark scheme — 2 marks available

  • Correct substitution — 1 mark
  • 116 900 J — 1 mark

Model answer

\(0.35 \times 334\,000 = 116\,900\) J

2. Exam question Use the graph 4 marks Easier

The graph shows how the temperature of a solid changes as it is heated at a steady rate until it is a gas. (a) State the melting point. (b) What is happening between 2 and 8 minutes? (c) Explain why the temperature stays constant during this time.

A temperature-time graph for a substance heated from -10 to 120 degrees Celsius with flat sections at 0 and 100 degrees Celsius.

Mark scheme — 4 marks available

  • 0 °C — 1 mark
  • Melting — 1 mark
  • Energy used to break bonds or change potential energy — 1 mark
  • Kinetic energy or temperature does not increase — 1 mark

Model answer

(a) 0 °C. (b) The solid is melting (changing state to liquid). (c) The energy supplied changes the potential energy of the particles (breaking bonds), not their kinetic energy, so the temperature does not rise.

3. Exam question Distinguish 2 marks Easier

Describe the difference between specific heat capacity and specific latent heat.

Mark scheme — 2 marks available

  • Specific heat capacity: temperature change — 1 mark
  • Specific latent heat: change of state, no temperature change — 1 mark

Model answer

Specific heat capacity is the energy needed to raise the temperature of 1 kg by 1 °C. Specific latent heat is the energy needed to change the state of 1 kg with no change in temperature.

4. Exam question Calculate 3 marks Easier

Calculate the energy needed to change 0.50 kg of water at 100 °C into steam. The specific latent heat of vaporisation of water is 2 260 000 J/kg.

Mark scheme — 3 marks available

  • Correct substitution — 1 mark
  • 1 130 000 J — 1 mark
  • Unit J — 1 mark

Model answer

\(0.50 \times 2\,260\,000 = 1\,130\,000\) J

5. Exam question Explain 3 marks Easier

Steam at 100 °C causes a more serious burn than boiling water at 100 °C. Explain why.

Mark scheme — 3 marks available

  • Steam condenses on the skin — 1 mark
  • Releases latent heat — 1 mark
  • So more energy is transferred than from the water alone — 1 mark

Model answer

When steam condenses it releases a large amount of energy (latent heat) to the skin, in addition to the energy released as the water cools, so more energy is transferred to the skin.

6. Multiple choice 1 mark Easier

During melting the temperature...

  1. A stays constant Correct
  2. B rises
  3. C falls
  4. D doubles

Why: The energy changes the state, not the temperature.

7. Multiple choice 1 mark Core

The unit of specific latent heat is...

  1. A J/kg °C
  2. B J/kg Correct
  3. C W
  4. D kg/J

Why: Joules per kilogram.

8. Multiple choice 1 mark Core

The energy to melt 2 kg with L = 300 000 J/kg is...

  1. A 150 000 J
  2. B 300 002 J
  3. C 600 000 J Correct
  4. D 60 000 J

Why: 2 × 300 000.

9. Multiple choice 1 mark Core

A flat section on a heating curve shows...

  1. A the temperature rising
  2. B the mass changing
  3. C a leak
  4. D a change of state Correct

Why: Energy is going into potential energy.

10. Multiple choice 1 mark Stretch

Latent heat of vaporisation refers to...

  1. A liquid to gas Correct
  2. B solid to liquid
  3. C gas to solid
  4. D solid to gas

Why: Fusion is solid to liquid.