Assume all gases are perfect unless stated otherwise. Unless otherwise stated, thermodynamic data are for 298.15 K. When a certain freon used in refrigeration was expanded adiabatically from an initial pressure of $32 \mathrm{~atm}$ and $0^{\circ} \mathrm{C}$ to a final pressure of $1.00 \mathrm{~atm}$, the temperature fell by $22 \mathrm{~K}$. Calculate the Joule-Thomson coefficient, $\mu$, at $0^{\circ} \mathrm{C}$, assuming it remains constant over this temperature range.
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