A reaction in which the pre-exponential term is independent of temperature is found to be a 100 times faster at \(200^{\circ} \mathrm{C}\) than it is at \(25^{\circ} \mathrm{C}\). Calculate the activation energy of the reaction. What will be the reaction rate at \(1000{ }^{\circ} \mathrm{C}\) ?

[30,840 kJ/kmol; 13,814]