In the Arrhenius plot of logk versus $1 / T$ find the value of intercept on $y$ axis
In the Arrhenius plot of logk versus $1 / T$ find the value of intercept on $y$ axis
$\quad \log _{10} \mathrm{~A}$
$\frac{-\mathrm{Ea}}{\mathrm{R}}$
$\quad \ln k$
$\quad R / E_a$
Solution
The Arrhenius equation is
$\begin{aligned}
& k=A e^{-E_a / R T} \\
\therefore \quad & \ln k=-\frac{E_a}{R T}+\ln A
\end{aligned}$
$\therefore \quad \log _{10} \mathrm{k}=-\frac{\mathrm{E}_{\mathrm{a}}}{2.303 \mathrm{R}} \frac{1}{\mathrm{~T}}+\log _{10} \mathrm{~A}$
Thus, the value of intercept on y axis is $\log _{10} \mathrm{~A}$.
