Data for the decomposition of dinitrogen monoxide

on a gold surface at 900°C are given below. Verify that the reaction is first-order by preparing a graph of ln[N₂O] versus time. Derive the rate constant from the slope of the line in this graph. Using the rate law and value of k, determine the decomposition rate at 900°C when [N₂O] = 0.035 mol/L.

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N₂O(g) → N₂(g) + ¹/2O₂(g)