Question

what's the SI unit of latent heat of fusion and specific heat capacity

Answer 1

The specific heat capacity of a substance is the quantity of heat required to produce a unit change in temperature per unit mass of that substance.

Q=mcΔθ
SI unit for specific heat capacity: JKg−1K−1
The specific latent heat of fusion, Lf , is defined as the amount of heat required per unit mass to change a substance from the solid phase to the liquid phase without any change in temperature

Q=mLf
The specific latent heat of vaporization, Lv, is defined as the amount of heat required per unit mass to change a substance from the liquid phase to the vapor phase without any change in temperature.

Q=mLv
SI unit for specific latent heat of fusion/vaporization: JKg−1

Answer 2

si unit of latent heat of fusion is joule and the si unit of specific heat capacity is joule per kilogram kelvin