Chemistry I / Entropy and the Second Law
Practice question · Multiple choice

Why does a perfect crystal at absolute zero have exactly zero entropy?

Hints
  1. Use the statistical definition and count the arrangements.
  2. A perfect crystal at 0 K has W = 1, and ln 1 = 0.
Show the answer

B. There is only one way to arrange it, and the logarithm of one is zero

Why

With every atom fixed in a unique arrangement, W=1W = 1 and S=kln1=0S = k\ln 1 = 0. This is the third law, and it is what gives entropy genuine absolute values where enthalpy has only differences.

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