Define Joule-Thomson coefficient \(\mu_{\mathrm{TT}}\). Express \(\mu_{\mathrm{TT}}\) in terms of \(C_{P}\) and compressibility factor \(Z\) in the following form:
\[ \mu_{\mathrm{JT}}=\frac{R T^{2}}{P C_{P}}\left(\frac{\partial Z}{\partial T}\right)_{P} \quad \text { where } P V=Z R T \]