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NEET UG CHEMISTRY MCQ: CHEMICAL KINETICS

1 Hard
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Analyzing +4 | -1
The rate of the reaction 2 N2O5→4NO2+O22 \mathrm{~N}_2 \mathrm{O}_5 \rightarrow 4 \mathrm{NO}_2+\mathrm{O}_2 can be written in three ways:

−d[N2O5]dt=k[ N2O5];d[NO2]dt=k′[N2O5]d[O2]dt=k′′[N2O5]\begin{aligned} & \frac{-\mathrm{d}\left[\mathrm{N}_2 \mathrm{O}_5\right]}{\mathrm{dt}}={k}\left[\mathrm{~N}_2 \mathrm{O}_5\right] ; \frac{\mathrm{d}\left[\mathrm{NO}_2\right]}{\mathrm{dt}}={k}^{\prime}\left[\mathrm{N}_2 \mathrm{O}_5\right] \\ & \frac{\mathrm{d}\left[\mathrm{O}_2\right]}{\mathrm{dt}}={k}^{\prime \prime}\left[\mathrm{N}_2 \mathrm{O}_5\right] \end{aligned}

The relationship between k{k} and k′{k}^{\prime} and between k{k} and k′′{k}^{\prime \prime} are:
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Correct option: B
k′=2k;k′′=k/2k^{\prime}=2 k ; k^{\prime \prime}=k / 2
The correct answer is B (k′=2k;k′′=k/2k^{\prime}=2 k ; k^{\prime \prime}=k / 2) because the rate constants are related by the stoichiometry of the reaction.

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