In the Joule-Kelvin expansion we take a gas at one pressure $p_1$ and throttle it through a valve to another pressure $p_2$ where these two pressures are taken to be constant. The Joule-Kelvin coefficient is given by: $$\mu_{JK} = \left(\frac{\partial T}{\partial p}\right)_H$$ So what temperature does $T$ represent and what pressure does $p$ represent?
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