Question

The reaction 2NO 2(g) → 2NO(g) + O 2(g) is suspected to be second order in NO 2. Which of the following kinetic plots would be the most useful to confirm whether or not the reaction is second order? a plot of [NO2]−1 vs. t a plot of ln [NO2] vs. t a plot of [NO2] vs. t a plot of ln [NO2]−1 vs. t a plot of [NO2]2 vs. t

Answer 1

A plot of [NO₂]⁻¹ vs t

Step-by-step explanation:

If the reaction:

2NO₂(g) → 2NO(g) + O₂(g)

follows the second order reaction:

-Δ[NO₂] / Δt = k [NO₂]²

-Δ[NO₂] / [NO₂]² = kΔt

-∫ Δ[NO₂] / [NO₂]² = ∫ kΔt

[NO₂]⁻¹ + c = kt + c

[NO₂]⁻¹ = kt + c

Thus, a plot of [NO₂]⁻¹ vs t will have as slope the rate constant and proves the reaction follows the second order reaction.

I hope it helps!