The following experimental data were obtained for the reaction of NH₄⁺ and NO₂^– in acidic solution.

Determine the rate law for this reaction and calculate the rate constant.

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NH4+ (aq) + NO₂ (aq) → N₂(g) + 2 H₂O(l) [NH₂+] (mol L-¹) [NO₂ ] (mol L-¹) Rate = A[N₂]/At (mol L-¹s-¹) 0.0092 0.0092 0.0488 0.0249 0.098 0.049 0.196 0.196 3.33 x 10-7 1.66 x 10-7 3.51 x 10-6 1.80 x 10-6