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Specific heat is the amount of heat required to raise the temperature of a substance a certain amount. Latent heat is the amount of heat released during a change of state i.e. the boiling of water or the melting of ice.
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Specific heat refers to the energy needed to increase the temperature, and latent heat to the energy released in changes of phase.

What is the difference between specific heat capacity and latent heat?

Specific heat capacity is a measure of how much energy is needed to increase the temperature per unit of mass. A larger heat capacity means that we need to add more energy to increase the temperature.

In other hand, latent heat is the released temperature (thermal energy actually) when there is a change of phase. (from liquid to gas, for example).

If you want to learn more about thermodynamics:

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