Unraveling the Principles of Boltzmann's Law

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Write down the 3 principles underpinning Boltzmanns law and indicate which of these is incompatible with the quantum theory of gases



The Attempt at a Solution



Well I know two...

1. The conservation of energy
2. Equal probabilities of allowed configurations

But I'm a bit stuck with the third. Can anyone help me out here?

I know that Boltzmann said that it matters which molecule is in which state and that there is no restriction on the number of molecules that can occupy a given state, but I wasn't aware that this is an underpinning principle. If it is, then I would say that this is the one that isn't compatible with the quantum theory of gases due to the indistinguishability issue.
 
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Which Boltzmann law? I think you're thinking of S = k \ln W but they could mean the statistical Boltzmann law, i.e. the distribution of energies of molecules in a gas.
 
Well, I'm assuming that its the principles of statistical mechanics that they're after. As I said, I only know of two 'principles'. I am working on quantum theory though and don't know of any separate principles from Boltzmann for this.
 

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