Physics I / Second Law of Thermodynamics and Entropy
Practice question · Multiple choice

A drop of ink disperses through a glass of water and never spontaneously regathers. Yet each molecular collision is perfectly reversible. What actually forbids the ink from re-forming?

Hints
  1. Count microstates: how many molecular arrangements look "mixed" versus how many look like "a neat drop"?
  2. The second law is statistical, not mechanical, it is about likelihood, not possibility.
Show the answer

C. Nothing forbids it; it is overwhelmingly improbable

Why

Every microscopic motion could legally reverse; there are simply astronomically more ways to be mixed than gathered, so chance never finds the gathered ones again. Entropy increase is probability at work, with 102310^{23} molecules, "overwhelmingly likely" is indistinguishable from "always".

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