The temperature dependence of the rate constant k k\,k for the thermal decomposition of a food preservative in aqueous solution is studied. The Arrhenius equation can be written as:
lnk=−EaRT+lnA\ln k = \frac{-E_a}{RT} + \ln Alnk=RT−Ea+lnA
The graph below shows a plot of ln(k/s−1)\ln(k / \text{s}^{-1})ln(k/s−1) against 1T\displaystyle \frac{1}{T}T1 for this reaction:
Use the graph to calculate a value for the activation energy (EaE_aEa), in kJ mol−1\text{kJ mol}^{-1}kJ mol−1, for this reaction.
The gas constant R=8.31 J K−1 mol−1R = 8.31\text{ J K}^{-1}\text{ mol}^{-1}R=8.31 J K−1 mol−1.