The Joule-Kelvin coefficient \( \mu_J \) is given by:
\[
\mu_J = \left( \frac{\partial T}{\partial P} \right)_H
\]
- Cooling occurs when \( \mu_J>0 \) (i.e., temperature decreases as pressure decreases).
- Heating occurs when \( \mu_J<0 \) (temperature increases as pressure decreases).
- At the inversion temperature, \( \mu_J = 0 \).