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Boltzmanns law

  1. Aug 21, 2007 #1
    Write down the 3 principles underpinning Boltzmanns law and indicate which of these is incompatible with the quantum theory of gases

    3. 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.
  2. jcsd
  3. Aug 21, 2007 #2
    Which Boltzmann law? I think you're thinking of [tex]S = k \ln W[/tex] but they could mean the statistical Boltzmann law, i.e. the distribution of energies of molecules in a gas.
  4. Aug 21, 2007 #3
    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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