In the reaction $2 \mathrm{~N}_{2} \mathrm{O}_{5(\mathrm{~g})} \longrightarrow 4…

In the reaction $2 \mathrm{~N}_{2} \mathrm{O}_{5(\mathrm{~g})} \longrightarrow 4 \mathrm{NO}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})}$ the rate of formation of $\mathrm{NO}_{2(\mathrm{~g})}$ and $\mathrm{O}_{2(\mathrm{~g})}$ are in the ratio of
  1. $1: 4$
  2. $1: 1$
  3. $6: 1$
  4. $4: 1$

Solution

By Differential Rate law; $\frac{-1}{2} \frac{d\left(N_{2} O_{5}\right)}{d t}=\frac{1}{4} \frac{d\left(N O_{2}\right)}{d t}=\frac{d\left(O_{2}\right)}{d t}$ d $\frac{\text { Rate of formation of } \mathrm{NO}_{2}}{\text { Ratc of formation of } \mathrm{O}_{2}}=\frac{d\left(\mathrm{NO}_{2}\right) / d t}{d\left(\mathrm{O}_{2} / d t\right.}=4: 1$

Asked in: MHT CET 2020 (19 Oct Shift 1)

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