[SheffieldWednesday4ever]

I'd like to know what is the "usefulness" of the Boltzmann equation. I have a question that asks to use the Boltmann equation to prove that V₀/V₁=N₁/(N₁+N₂) in a system which is composed of components 1 and 2. It asks what is the Validity of this equation if it agrees with common sense.
I'm thinking it does agree with common sense in that the proportion of moles in the two systems is equal to that of the volume. For the usefulness, could it be that it can solve entropies for complex systems?

Also, for Quasi-static processes, do these allow all energy released to be used as work since the process is technically in thermoequilibrium so no entropy is released?

Thanks

[Juan R.]

The Boltzmann equation is an kinetic equation of motion rather similar to the equations of chemical kinetics. What do you think can be the utility of an equation of motion? What do you think is the utility of the equations of kinetics?

http://en.wikipedia.org/wiki/Boltzmann_equation