Specific latent heat of fusion of a substance is the heat required to transform 1 kg of a substance from solid state to liquid state at a particular temperature.
Heat required to melt 14 kg substance = 550 kJ
Mass of the substance = 14 kg
Calculating the specific latent heat of fusion:
[tex] \frac{550 kJ}{14 kg} = 39.3 \frac{kJ}{kg} [/tex]
or [tex] 39.3\frac{kJ}{kg} *\frac{1000J}{1kJ} *\frac{1 kg}{1000 g} = 39.3 \frac{J}{g} [/tex]
Therefore, the specific latent heat of fusion is 39.3 kJ/kg or 39.3 J/g