Concept:
When a real gas undergoes a throttling process (Joule–Thomson process), enthalpy remains constant:
\[
H = \text{constant}
\]
The temperature change with pressure under this condition is defined by:
\[
\mu_{JT} = \left(\frac{\partial T}{\partial P}\right)_H
\]
This coefficient measures heating or cooling during expansion or compression at constant enthalpy.
Step 1: Identify process condition.
Given:
\[
H = \text{constant}
\]
So we are dealing with throttling process.
Step 2: Apply definition.
\[
\mu_{JT} = \left(\frac{\partial T}{\partial P}\right)_H
\]
Step 3: Physical meaning.
- Positive $\mu_{JT}$ → cooling on expansion
- Negative $\mu_{JT}$ → heating on expansion
Final Answer:
\[
\boxed{\text{Joule–Thomson coefficient}}
\]