Based on the data provided, the enthalpy of fusion (ΔHf) of the substance is 109.82 J/g.
The enthalpy of fusion of a substance is the amount of heat evolved or absorbed when the substance undergoes a phase change from liquid to solid or vice versa.
From the principle of conservation of energy, heat lost = heat gained.
Heat gained by water = mass × specific heat × temperature change.
Heat lost by liquid = mass × enthalpy of fusion of liquid
255 × 4.18 × (29.2 - 19) = 99 × ΔHf
ΔHf = 109.82 J/g
Therefore, the enthalpy of fusion (ΔHf) of the substance is 109.82 J/g.
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