Identify the correct expression for rate of following reaction. $2 \mathrm{~N}_2 \mathrm{O}_{5_{(g)}}…

Identify the correct expression for rate of following reaction. $2 \mathrm{~N}_2 \mathrm{O}_{5_{(g)}} \rightarrow 4 \mathrm{NO}_{2_{(g)}}+\mathrm{O}_{2_{(g)}}$
  1. $\frac{1}{2} \frac{\mathrm{d}\left[\mathrm{N}_2 \mathrm{O}_5\right]}{\mathrm{dt}}$
  2. $-\frac{\mathrm{d}\left[\mathrm{NO}_2\right]}{\mathrm{dt}}$
  3. $-\frac{1}{2} \frac{\mathrm{d}\left[\mathrm{N}_2 \mathrm{O}_5\right]}{\mathrm{dt}}$
  4. $\frac{1}{4} \frac{\mathrm{d}\left[\mathrm{O}_2\right]}{\mathrm{dt}}$

Solution

$\mathrm{r}=-\frac{1}{2} \frac{\mathrm{d}\left[\mathrm{N}_2 \mathrm{O}_5\right]}{\mathrm{dt}}=\frac{1}{4} \frac{\mathrm{d}\left[\mathrm{NO}_2\right]}{\mathrm{dt}}=\frac{\mathrm{d}\left[\mathrm{O}_2\right]}{\mathrm{dt}}$

Asked in: MHT CET 2022 (07 Aug Shift 1)

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