$k=A e^{\frac{-E_{a}}{R T}}$ 

$\begin{aligned} \frac{E_{a}}{R T} &=\frac{26000}{T} \\ E_{a} &=26000 \times 8.314 \\ &=216164 \mathrm{~J} \\ &=216 \mathrm{~kJ} \end{aligned}$