At a particular temperature, N₂O₅ decomposes according to a first-order rate law with a half-life of 3.0 s. If the initial concentration of N₂O₅ is 1.0 × 10¹⁶ molecules/cm³, what will be the concentration in molecules/cm³ after 10.0 s?

Question

Quizplus · Accepted Answer

For a first-order reaction, the concentration after time t can be calculated using the formula [A] = [A]₀ * (1/2)^(t/t₁/₂). Substituting the given values: [A] = 1.0 × 10¹⁶ * (1/2)^(10/3) ≈ 9.9 × 10¹⁴ molecules/cm³.

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