First off, nice name. Try playing it in lottery!

There are two things that energy can do. One is to perform work, the other is to dissipate into energy states. The entropy is the portion of energy that is absorbed by energy states such as molecular translations, vibration, and rotation.

Thermodynamically, S = q(rev)/T = [E - w(rev)]/T. So, less work means more energy can be "wasted" as entropy. Of course, nature is lazy and prefers to maximize entropy.

In osmosis and diffusion, the stock answer is that the increased disorder of the final state leads to an increase in entropy. But what does disorder have to do with energy?

It can be shown by statistical mechanics that the number of energy states in mixed systems increases due to the increased number of distinguishable arrangements of particles (a translational phenomenon). The increased availability of these energy microstates allows available energy to access them as entropy.