Understanding the Concepts

* Specific Latent Heat of Fusion: The amount of heat energy required to change 1 kg of a substance from a solid to a liquid at its melting point.

* Melting Point: The temperature at which a substance transitions from a solid to a liquid.

Formula

The formula for calculating the specific latent heat of fusion (L) is:

L = Q / m

Where:

* L = Specific latent heat of fusion (in J/kg or kJ/kg)

* Q = Heat energy absorbed (in J or kJ)

* m = Mass of the substance (in kg)

Calculation

1. Convert kJ to J: 550 kJ = 550,000 J

2. Plug the values into the formula:

L = 550,000 J / 14 kg

L ≈ 39,285.71 J/kg

Answer

The specific latent heat of fusion for this substance is approximately 39,285.71 J/kg.

Important Note: The temperature of 262 K is not relevant to the calculation of the specific latent heat of fusion. The specific latent heat of fusion is a property of the substance and is constant at its melting point.