Heat Transfer & Changes in State
- A certain amount of energy is required to change the state of a certain mass of a substance
- This amount of energy is known as the latent heat
- The specific latent heat is defined as:
The amount of energy required to change the state of 1 kg of a substance with no change in temperature
- Latent heat can be calculated using:
Q = mL
- Where:
- Q = thermal energy required for a change in state, in joules (J)
- m = mass, in kilograms (kg)
- L = specific latent heat, in joules per kilogram (J/kg)
- Higher Tier students will need to be able to rearrange this equation
Thermal Energy, Mass and Specific Latent Heat Equation Triangle
Cover up the variable you need to calculate, and the triangle shows you how the equation is arranged
- Changing a liquid to a gas requires more energy than changing a solid to a liquid
- The energy required to change the state of a substance between a solid and a liquid is called the latent heat of fusion
- This includes:
- A solid melting into a liquid
- A liquid freezing into a solid
- The energy required to change the state of a substance between a liquid and a gas is called the latent heat of vaporisation
- This includes:
- A liquid boiling into a gas
- A gas condensing into a liquid
- For example the latent heat of fusion for water is 336 kJ, whereas the latent heat of vaporisation is 2260 kJ
Worked example
Calculate the energy transferred to the surroundings as 0.60 kg of stearic acid changes state from liquid to solid.
The specific latent heat of fusion of stearic acid is 199 000 J / kg.
Answer:
Step 1: List the known quantities
- Mass, m = 0.60 kg
- Specific latent heat of fusion, L = 199 000 J / kg
Step 2: Write down the relevant equation
Q = mL
Step 3: Substitute in the values
Q = 0.60 × 199 000
Q = 119 400 J
Examiner Tip
Remember that L is used as the symbol of specific latent heat of fusion or vaporisation, it is just the values that will be different.