Dinitrogen pentoxide rapidly decomposes in the atmosphere according to the reaction 2 N₂O₃ (g) $\rightarrow$ 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 slope of the plot of ln[concentration] versus time represents the rate constant (k) for a first-order reaction, which is given as -0.00693 s^-1. For a first-order reaction, the time (t) required for the concentration to decrease to a certain fraction of its initial value can be calculated using the formula t = (1/k) * ln([A]0/[A]), where [A]0 is the initial concentration and [A] is the final concentration. Given that the final concentration is 0.100% (or 0.001) of the initial concentration (0.0250 M), the calculation is t = (1/-0.00693) * ln(0.0250/0.000025) = 997 s.

Dinitrogen Pentoxide Rapidly Decomposes in the Atmosphere According to the Reaction