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What is latent heat of fusion ...

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The enthalpy of fusion also known as (latent) heat of fusion is the change in enthalpy resulting from heating a given quantity of a substance to change its state from a solid to a liquid. The temperature at which this occurs is the melting point.
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User Longbiao CHEN
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The latent heat required for a solid to melt into liquid is called the Latent of Fusion.
This latent heat does not increase the kinetic energy of the substance undergoing a state change and thus doesn't show its presence by increasing temperature.
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User Tymzap
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