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Noah Phipps edited subsubsection_Finding_the_activation_energy__.tex
almost 8 years ago
Commit id: bfa3d2ec9720976dece46158a18f0c56fa7232b0
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The Arrhenius equation states that
\begin{equation}
k=Ae^{\frac{-E_a}{RT}
\end{equation}
By taking natural logarithms of both sides of this equation, it can be shown that:
\begin{equation}
ln(k)=ln(A)-\frac{E_a}{RT}
\end{equation}
By plotting a graph of ln(k) against 1/T, the gradient is equivalent to $\frac{-E_a}{R}$. This gives the reaction an Activation Energy of 85.04 kJmol\textsuperscript{-1}. This is high for a reaction, and suggests an experimental error.
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The intercept of the graph can be used to calculate the value of the frequency factor, which in this case is 1.13$\times$10\textsuperscript{15}s\textsuperscript{-1}.