\(P=A e^{\frac{-\Delta M}{I R T}}\)

\(\ln P=\ln A+\ln e \frac{-\Delta M}{\operatorname{Irr}} \Rightarrow \ln p=\ln A-\frac{\Delta H}{R T} \ln e\)

or \(\ln p=\ln A-\frac{\Delta H}{R T}\)

\(\frac{d}{d T}(\ln P)=0+\frac{-\Delta H}{R} \frac{d}{d T}\left(T^{-1}\right)\)

\(\frac{d}{d T} \ln P=\frac{\Delta H v}{R T^{2}}\)