Chemistry I / Physical Equilibria and Phase Diagrams
Practice question · Put in order

Arrange these phases and states in order of increasing molar entropy for the same substance.

Hints
  1. The third law fixes the bottom of the scale.
  2. Each phase change upward adds freedom of arrangement.
Show the answer
  1. Perfect crystalline solid at 0 K
  2. Solid just below its melting point
  3. Liquid just above its melting point
  4. Gas at its boiling point
Why

A perfect crystal at 0 K has S=0S = 0 exactly. Warming adds vibrational freedom, melting adds translational freedom, and vaporising adds a very large amount more, which is why entropies of vaporisation dwarf entropies of fusion.

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