Specific Latent Heat (Oxford AQA IGCSE Combined Science Double Award)
Revision Note
Written by: Ann Howell
Reviewed by: Caroline Carroll
Specific Latent Heat of Vaporisation
Extension Tier only
The specific latent heat of vaporisation is defined as:
The amount of energy required to change the state of one kilogram of the substance between a liquid and a gas with no change in temperature
This applies when vaporising a liquid or condensing a gas
A substance's temperature will remain constant until all of the substance has vaporised
For a vaporising liquid:
A liquid will vaporise at its boiling point
Its temperature will remain constant until all of the liquid substance has vaporised
Energy is transferred into the system
The latent heat of vaporisation is the amount of energy per kg needed for all the particles in the liquid to overcome the intermolecular forces of attraction holding them together in their liquid state
For a condensing gas:
A gas will condense at its boiling point
Its temperature will remain constant until all of the gaseous substance has condensed
Energy is transferred away from the system
The latent heat of vaporisation is the amount of energy per kg transferred away from the gas until all the particles have succumbed to the intermolecular forces of attraction holding them together in their liquid state
Specific latent heat of vaporisation equation
The amount of energy E required to vaporise or condense a mass of m with latent heat of vaporisation Lv is:
Where:
E = thermal energy required for a change in state, in joules (J)
m = mass, in kilograms (kg)
Lv = specific latent heat, in joules per kilogram (J / kg)
The specific latent heat of vaporisation for water = 2.26 MJ/kg
Specific Latent Heat of Fusion
Extension Tier only
The specific latent heat of fusion of a substance is defined as:
The amount of energy required to change the state of one kilogram of the substance between a solid and a liquid with no change in temperature
This applies when melting a solid or freezing a liquid
When melting a solid:
A solid will melt at its melting point
Its temperature will remain constant until all of the solid substance has melted
Energy is transferred into the system
The latent heat of fusion is the amount of energy needed per kg for all the particles in the solid substance to overcome the intermolecular forces of attraction holding them together in their solid state
When freezing a liquid:
A liquid will freeze at its melting point
Its temperature will remain constant until all of the liquid substance has solidified
Energy is transferred away from the system
The latent heat of fusion is the amount of energy per kg transferred away from the liquid substance until all the particles have succumbed to the intermolecular forces of attraction that hold them together in their new solid structure
Specific latent heat of vaporisation equation
The amount of energy E required to melt or freeze a mass of m with a latent heat of fusion Lf is:
Where:
E = thermal energy required for a change in state, in joules (J)
m = mass, in kilograms (kg)
Lf = specific latent heat of fusion, in joules per kilogram (J / kg)
The graph of specific latent heat of fusion and vaporisation
Worked Example
Calculate the energy transferred to the surroundings as 0.60 kg of stearic acid changes state from a liquid to a 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, Lf = 199 000 J / kg
Step 2: Write down the relevant equation
Step 3: Substitute in the values
Examiner Tips and Tricks
The specific latent heat of fusion and vaporisation values of all substances will be provided for you in the exam question, so you do not need to memorise these.
Make sure you include 'with no change in temperature' in your definition of specific latent heat to be awarded full marks.
Use these reminders to help you remember which type of latent heat is being referred to:
Latent heat of fusion = imagine ‘fusing’ the liquid molecules together to become a solid
Latent heat of vaporisation = “water vapour” is steam, so imagine vaporising the liquid molecules into a gas
But remember that the change of state can go in either direction!
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