Arrhenius equation

The Arrhenius equation dictates the rate constant as being dependent on temperature. $k=A{e}^{-\frac{E_a}{RT}}$ $\ln k=-\frac{E_a}{RT}+\ln A$ Where the symbols are:

• $k$: rate constant
• $A$: frequency factor
• $R=8.31J\cdot {\text{mol}}^{-1}\cdot K^{-1}$: the gas constant
• $T$: absolute temperature, in Kelvin

With the second equation, we can plot in ${\mathbb{R}}^2$, where $y=\ln k$ and $x=\frac{1}{T}$. This produces a linear equation where the gradient is $-\frac{E_a}{R}$ and has a $y$-intercept of $\ln A$.

Where simultaneous equations or values are given, the equation is given as follows: $\ln \left(\frac{k_1}{k_2}\right)=\frac{E_a}{R}(\frac{1}{T_2}-\frac{1}{T_1})$