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The colorless gas N₂O₄ decomposes to the brown gas NO₂ in a first-order reaction:
N₂O₄(g) → 2 NO₂(g).
The rate constant k is 4.5 × 10³ s⁻¹ at 274 K and 1.00 × 10⁴ s⁻¹ at 283 K. What is the activation energy, Eₐ, for this reaction?