For a gas, if enthalpy is considered to be the function of temperature and pressure, then show

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For a gas, if enthalpy is considered to be the function of temperature and pressure, then show that the Joule-Thomson coefficient is

\[ \mu_{\mathrm{JT}}=-\frac{1}{C_{P}}\left(\frac{\partial H}{\partial P}\right)_{T} \]

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