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A single Neon atom ) = ( 1 0 in enclosed in a box of dimensions 1 c m 1 c m 1 c m

A single Neon atom $) = (10$ in enclosed in a box of dimensions $1 c m 1 c m 1 c m$ at temperature $300 K .$

$($ a $)$ Calculate the canonical partition function for this molecule.

$($ b $)$ Calculate the probability of finding the atom in a single energy level within the energy range of $+ - 1 %$ of the mean value of energy at $300 K .$

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