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5.6

# Exercise : Temperature dependence of Gibbs Free Energy

### Supercooled liquid water at - 50℃ will freeze adiabatically. ∆G, ∆S of this change?

• Final state might be a mixture of ice and liquid water.
• Liquid water and ice can coexist only at the melting point T, 0℃
Let’s set the fraction of ice at the final state $x$.

Split the process into

1) ∆G

2) ∆S