Question

The substance having the highest specific latent heat of fusion?
A. Lead
B. Wax
C. Ice
D. Gold

Answer 1

Use the formula of latent heat of fusion.
Use the concept of calorimetry.
Use the specific latent heat of fusion for substance accordingly.

Complete step by step solution:
Specific latent heat of fusion ${{l}_{f}}$of a substance is defined as the amount of heat required to change a unit mass of substance from solid to liquid state without any change in temperature
$Q=m{{l}_{f}}$
Where
$Q=$amount of thermal energy released or absorbed
$m=$mass of the substance
${{l}_{f}}=$specific latent heat of fusion

Latent heat of fusion:
The amount of heat gained by a solid object to convert it into a liquid without any further increase in temperature is known as latent heat of fusion.
$Q=mL$
$L=$specific latent heat of fusion of substance
The temperature of the substance changes from ${{t}_{1}}$(low temperature) to ${{t}_{2}}$(high temperature)
$Q=mc\vartriangle t$
$\vartriangle t={{t}_{2}}-{{t}_{1}}$
$\vartriangle t=$high temperature – low temperature
Total amount of heat absorbed by the material is
$Q=mL+mc\vartriangle t$

Hence, option (C) is the correct answer.

Note: Ice has the latent heat of fusion $334\ kj/kg.$
To solve this problem students should be known about the latent heat of fusion.
Each substance has a different value of specific heat of fusion.