For seven identical, non-interacting harmonic oscillator molecules (energy levels given by the harmonic oscillator model), and given the macroscopic constraints (a) Etot = (4+7/2)hw and (b) Etot = (7+7/2)hw; work out the probabilities of observing a molecule with energy Eusing the fundamental postulate of statistical mechanics. Fit an exponential decay to these probabilities (using Excel or some other program) and find the relationship qualitatively)between Etot and the temperature T? Discuss in relation to the Boltzmann factor.
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