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The latent heat of fusion is defined as the heat energy required to convert a kg of a substance of liquid into solid of the same substance without a change of temperature.

Q = mL

where Q = Heat Energy in joules, m=mass of substance, L= Latent heat of fusion

Taking units,

[J] = [kg] [L]

[L] = [J]/[kg]

so units of latent heat of fusion are joules.kg-1

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