The rate of decomposition of a gaseous air pollutant was studied at various temperatures. A plot of lnk \ln k\,lnk against 1T\displaystyle \frac{1}{T}T1 (where T T\,T is in K\text{K}K) yielded a straight line with a gradient of -1.15 × 104 K.
What is the activation energy, EaE_{\text{a}}Ea, for this decomposition reaction in kJ mol−1\text{kJ mol}^{-1}kJ mol−1? (Use gas constant R=8.314 J K−1 mol−1R = 8.314\text{ J K}^{-1}\text{ mol}^{-1}R=8.314 J K−1 mol−1)
+1.38+1.38+1.38
+95.6+95.6+95.6
−95.6-95.6−95.6
+9.56×104+9.56 \times 10^4+9.56×104
