The Reaction for the Decomposition of Dinitrogen Monoxide Gas to Form

The reaction for the decomposition of dinitrogen monoxide gas to form an oxygen radical is: N₂O(g) $\rarr$ N₂(g) + O(g) .If the activation energy is 250 kJ/mol and the frequency factor is 8.0 × 10¹¹ s^-1,what is the rate constant for the first-order reaction at 1000 K?

A) 1) 1 × 10^-3 s^-1
B) 7) 0 × 10^-2 s^-1
C) 1) 6 × 10¹³ s^-1
D) 9) 1 × 10²⁴ s^-1