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Entropy of fusion

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The entropy of fusion is the increase in entropy when melting a substance. This is almost always positive since the degree of disorder increases in the transition from an organized crystalline solid to the disorganized structure of a liquid; the only known exception is helium. It is denoted as ?Sfus and normally expressed in J mol−1 K−1

A natural process such as a phase transition will occur when the associated change in the Gibbs free energy is negative.

Δ G fus = Δ H fus T × Δ S fus < 0 , where Δ H fus is the enthalpy or heat of fusion.

Since this is a thermodynamic equation, the symbol T refers to the absolute thermodynamic temperature, measured in kelvins (K).

Equilibrium occurs when the temperature is equal to the melting point T = T f so that

Δ G fus = Δ H fus T f × Δ S fus = 0 ,

and the entropy of fusion is the heat of fusion divided by the melting point.

Δ S fus = Δ H fus T f

Helium

Helium-3 has a negative entropy of fusion at temperatures below 0.3 K. Helium-4 also has a very slightly negative entropy of fusion below 0.8 K. This means that, at appropriate constant pressures, these substances freeze with the addition of heat.

References

Entropy of fusion Wikipedia