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(a) Why is the heat of fusion (Hfus)of a substance smaller than its heat of vaporization(Hvap) ?

(b) Why is the heat of sublimation (Hsubl)of a substance greater than its(Hvap) ?

(c) At a given temperature and pressure, how does the magnitude of the heat of vaporization of a substance compare with that of its heat of condensation?

Short Answer

Expert verified
  1. Heat of fusion (Hfus) of a substance is smaller than its heat of vaporization (Hvap) because of the relative magnitude of the intermolecular forces in solids, liquids, and gases.
  2. Heat of sublimation (Hsubl) is higher than the heat of vaporization (Hvap)because the heat of sublimation includes both the heat of fusion (Hfus) and vaporization (Hvap).
  3. The magnitude of the heat of vaporization (Hvap) is same as that of the heat of condensation (Hcond) , yet the former isendothermic and the latter is exothermic in nature.

Step by step solution

01

Heat of fusion and vaporization

The heat of fusion (Hfus) is the heat required to convert one mole of solid to liquid whereas heat of vaporization is the heat required to convert one mole of liquid to gas.

02

Intermolecular forces

The relative magnitude of the intermolecular forces of attraction is always higher for solids, less for liquids, and almost negligible for gases.

It means more energy is required to overcome these intermolecular forces to convert solid to liquid during the fusion process. On the other hand, to convert liquid to gaseous vapor, comparatively less external energy is required.

Thus, the heat of fusion (Hfus)is comparatively more than the heat of vaporization (Hvap).

03

Heat of sublimation and vaporization

Heat of sublimation is the heat required for the conversion of solid form directly into vapor form whereas the vaporization includes the heat required for transformation of liquid phase to the vapor phase.

04

Comparison of both the process

As the heat of sublimation (Hsubl) is the sum of heat of fusion (Hfus) and heat of vaporization (Hvap) and both the process are exothermic in nature, thus the heat of sublimation role="math" localid="1658933687676" (Hsubl)is more than vaporization (Hvap).

05

Heat of vaporization and condensation

Heat of vaporization (Hvap) is the heat required for the conversion of liquid phase to vapor phase, whereas the heat of condensation (Hcond) is the heat released during the formation of vapor phase to the liquid phase.

06

Comparison of the heat of vaporization and condensation

As the heat exchanged during the physical process depends on the initial and final phase, herein

LiquidVapor

The heat exchange in both the process will be the same, at a constant temperature and pressure thus the magnitude of the vaporization and condensation is the same. But as the processes are endothermic and exothermic respectively, (Hvap)should be positive and (Hcond)should be negative.

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