Solution:

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A pure fluid is described by the canonical equation of state :
\begin{align*}
G = \Gamma (T) + RT \ln P ,
\end{align*}
where $\Gamma (T)$ is some given function of temperature. Determine $V$, $S$, $H$, $C_P$, and $C_V$ in terms of $\Gamma$, $T$, and $P$. These results are consistent with those described by an important gas model. What is this model?