## Maximum Entropy

$\Delta S = \frac{q_{rev}}{T}$

Matthew 1C
Posts: 47
Joined: Fri Sep 29, 2017 7:06 am

### Maximum Entropy

Why is entropy at its maximum at equilibrium?

Nora Sharp 1C
Posts: 53
Joined: Sat Jul 22, 2017 3:00 am

### Re: Maximum Entropy

At equilibrium, the system is no longer trending towards a spontaneous change, and by consequence it has reached its maximum entropy state. (Entropy increasing can drive processes like diffusion, at which the system wouldn't be at equilibrium.) If an isolated system at equilibrium were to decrease its entropy, this would violate the second law of thermodynamics, which states that the entropy of an isolated system is always increasing. At maximum entropy the only way entropy could change is by going down, and this just won't happen naturally in an isolated system.