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Chemical Engineering · Q506

Chemical Engineering Thermodynamics

Engineering and GATE · Chemical Engineering · question 506

Q506

If the vapour pressure at two temperatures of a solid phase in equilibrium with its liquid phase are known, then the latent heat of fusion can be calculated by the

A.
Maxwell's equation
B.
Clayperon-Claussius equation
Answer
C.
Van Laar equation
D.
Nernst Heat Theorem

Answer: Option B

Solution

Answer: Option B
Solution:
The Clausius-Clapeyron equation for the equilibrium between liquid and vapor is then

Where is the latent heat of evaporation, and and are the specific volumes at temperature of the vapor and liquid phases, respectively.
More generally the Clausius-Clapeyron equation pertains to the relationship between the pressure and temperature for conditions of equilibrium between two phases. The two phases could be vapor and solid for sublimation or solid and liquid for melting.