Latent heat of fusion (or vaporisation) is the heat energy that is absorbed by solid (or liquid) without showing any rise in temperature.
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Latent heat of fusion (or vapourisation) is the heat energy that is absorbed by solid (or liquid) without showing any rise in temperature during state change at its melting point (or boiling point). Since this energy is used for overcoming the inter-particle force of attraction, the kinetic energy of the particles remains constant and hence there is no rise in temperature.