Show that, for a classical ideal gas, [ frac{S}{N k}=ln left(frac{Q_{1}}{N}ight)+Tleft(frac{partial ln Q_{1}}{partial T}ight)_{P} ]
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Show that, for a classical ideal gas,
\[
\frac{S}{N k}=\ln \left(\frac{Q_{1}}{N}ight)+T\left(\frac{\partial \ln Q_{1}}{\partial T}ight)_{P}
\]
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