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Specific Latent Heat

The specific latent heat of a substance, is the amount of energy per kilogram required to change the state of said substance.

  • The latent heat of fusion is the energy required for the state change: solid -> liquid (melting).

  • The latent heat of vaporisation is the energy required for the state change: liquid -> gas (evaporation).

Equation

This equation will be on the Physics equation sheet!

\[ E = mL \]

Where:

  • \(E\) is the energy for a state change, in Joules (J)
  • \(m\) is the mass, in kilograms (kg)
  • \(L\) is the specific latent heat, in Joules per kilogram (J/kg)

Example

For example, lets say I had 2.4kg of ice, and I wanted to melt it to liquid water. The latent heat of fusion for water is \(33400 J/kg\), I want to know how much energy that will require.

\[ \begin{align} E & = m * L \\ & = 2.4 * 33400 \\ & = 80160J \\ & = 80.16kJ \end{align} \]

Therefor I would need to use \(80.16 kJ\) of energy to make the ice melt.


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