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Derivation of the Sackur-Tetrode equation

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Derive the formula for the entropy of an ideal monoatomic gas using the microcanonical ensemble. This formula is known as the Sackur-Tetrode equation.

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Solution Summary

We derive the Sackur-Tetrode equation for the entropy of a monoatomic ideal gas using the microcanonical ensemble.

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begin{document}
section{Sackur-Tetrode equation}
The entropy of an ideal mono atomic gas is given by the Sackur-Tetrode equation:
begin{equation}label{result}
S=N kahaak{logrhaak{frac{V}{N}haak{frac{E}{N}}^{frac{3}{2}}}+frac{5}{2}+frac{3}{2}loghaak{frac{4pi m}{3 ...

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