Question: The entropy for a certain monatomic gas has been empirically determined to be given by the expression (S=frac{7}{2} N ln E_{mathrm{th}}+N E_{mathrm{th}}^{2} / 15). Express

The entropy for a certain monatomic gas has been empirically determined to be given by the expression $S=\frac{7}{2} N \ln E_{\mathrm{th}}+N E_{\mathrm{th}}^{2} / 15$. Express the factor $1 / k_{\mathrm{B}} T$ for this gas in terms of $N$ and $E_{\mathrm{ch}}$.

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