Dinitrogen pentaoxide rapidly decomposes in the atmosphere according to the reaction 2 N₂O₅(g)$\to$2 N₂O₄(g)+ O₂(g).At a particular temperature,the slope of a plot of ln[N₂O₅] versus time is -0.00693.How long will it take N₂O₅ to reach 0.100% of its original concentration if [N₂O₅]₀ = 0.0250 M ?

Question

Quizplus · Accepted Answer

The reaction follows first-order kinetics, where the rate constant k is the negative slope of the ln[N2O5] vs. time plot, which is 0.00693 s⁻¹. Using the first-order kinetics formula t = (1/k) * ln([N2O5]₀/[N2O5]), we calculate the time for [N2O5] to reach 0.100% of its original concentration. Substituting the values, t = (1/0.00693) * ln(0.0250/0.000025) = 997 s.

Dinitrogen Pentaoxide Rapidly Decomposes in the Atmosphere According to the Reaction