A chemical reaction is found to be 15 times faster at \(100^{\circ} \mathrm{C}\) than at \(25^{\circ} \mathrm{C}\). Measurements show that the pre-exponential term contains temperature to the power of 0.7 . Calculate the activation energy of the reaction. What will be the reaction rate at \(700{ }^{\circ} \mathrm{C}\) ?

[31,433 kJ/kmol; 15,204]