Entropy at equilibrium

[DanielLee3H]

I still don't really understand conceptually why at equilibrium, when energy is at its minimum, entropy is at its maximum? Don't things get more ordered when they get lower in energy?

[BiancaDang3H]

I think that this is the case due to the second law of thermodynamics. At equilibrium, the system's entropy can neither increase (it's at it's max) nor decrease (due to In equilibrium, the entropy of the system cannot increase (because it is already at a maximum) and it cannot decrease (because it'd would violate the second law of thermodynamics).

The second law of thermodynamics states that the entropy of any isolated system always increases. If it's always increasing, and the system has hit its max, then it can't increase anymore, thus stuck (to say with lack of eloquence) at this state of equilibrium.