# Latent Heat of Fusion

## Latent Heat of Fusion

The Latent Heat Of Fusion Formula, commonly known as the enthalpy of fusion, describes how much energy must be given to a solid substance (often in the form of heat) to produce a change in its physical state and turn it into a liquid (when the pressure of the environment is kept constant). For instance, the latent heat of fusion of one kilogram of water is 333.55 kilojoules, which is the amount of heat energy required to transform one kilogram of ice while maintaining a constant environment temperature of 0 degrees Celsius.

It should be noted that the heat of solidification, which is the amount of energy required to provide a liquid in order to promote a phase shift and the conversion of the liquid into a solid, is the opposite of the Latent Heat Of Fusion Formula. Additionally, it should be emphasized that the Latent Heat Of Fusion Formula and the value of a substance’s heat of solidification always have the same magnitude but a different sign. For instance, the energy released by water to become ice is equivalent to the energy received by ice to create water.

### Latent Heat of Fusion

It should be noted that the heat of solidification, which is the amount of energy required to provide a liquid in order to promote a phase shift and the conversion of the liquid into a solid, is the opposite of the Latent Heat Of Fusion Formula. Additionally, it should be emphasized that the Latent Heat Of Fusion Formula and the value of a substance’s heat of solidification always have the same magnitude but a different sign. For instance, the energy released by water to become ice is equivalent to the energy received by ice to create water.

### Concept

Because a solid must often be heated in order to melt at normal atmospheric pressure, the enthalpy of fusion and Latent Heat Of Fusion Formula are often used interchangeably. As a result, the change in enthalpy that occurs when a substance transitions from the solid to the liquid phase can be used to determine the Latent Heat Of Fusion Formula of a substance.

The energy necessary to turn a substance into a liquid under constant pressure is known as the substance’s specific heat of fusion when the unit mass of the substance is taken into account. The Latent Heat Of Fusion Formula of the substance is known as the molar heat of fusion of the substance if the change in enthalpy is calculated on a per-mole basis.

Since the internal energy of the liquid phase is higher than that of the solid state, a given solid needs to be given some positive energy in order to facilitate melting. Similar to this, practically all liquids produce some positive amount of energy as they solidify. This can be explained by the fact that the molecules or particles that makeup liquids have extremely large potential energy because the intermolecular interactions holding them together are relatively weak. As a result, compared to solids, the energy needed to break up the intermolecular forces of attraction between liquid particles is likewise considerably less.

### The formula for Latent heat of fusion:

Q = m × L

Wherein

L = specific latent heat of fusion of substance.

The heat that the substance absorbs or releases is stated as when the temperature changes from t1 (low temperature) to t2 (high temperature).

Q = mc Δt

Q = mc (t2 – t1)

The total amount of heat absorbed or liberated by the material is

Q = mL + mc Δt

### Solved Examples

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