Answer :
The heat of vaporization is always greater than the heat of fusion because gas molecules have the largest intermolecular space and lowest intermolecular interaction.
What is latent heat?
The term latent heat refers to the kind of heat that can not be detected hence the term ‘latent’. It is the heat that does not lead to temperature change. Rather the heat energy is used to break up the secondary bonds that hold the molecules and the bonds that hold the substance together in order to free the molecules of the substance.
Now if we consider water, propane, and carbon dioxide. We could see that water has the strongest intermolecular force followed by carbon dioxide and then propane. This is because water molecules are held together by hydrogen bonds while the propane molecules are only held together by the weak Van Der Walls forces.
We can now see that when we compare the heats of heat of fusion to the heat of vaporization, the heat of vaporization is always greater than the heat of fusion because gas molecules have the largest intermolecular space and lowest intermolecular interaction.
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