Question

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

Answer 1

Hint: 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.