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Question: Answered & Verified by Expert
In the reaction
$$
\mathrm{BrO}_3^{-}(\mathrm{aq})+5 \mathrm{Br}^{-}(\mathrm{aq})+6 \mathrm{H}^{+} \rightarrow 3 \mathrm{Br}_2(l)+3 \mathrm{H}_2 \mathrm{O}(l)
$$
The rate of appearance of bromine $\left(\mathrm{Br}_2\right)$ is related to rate of disappearance of bromide ions as following
ChemistryChemical KineticsNEETNEET 2009 (Mains)
Options:
  • A $\frac{\mathrm{d}\left(\mathrm{Br}_2\right)}{\mathrm{dt}}=\frac{3}{5} \frac{\mathrm{d}\left(\mathrm{Br}^{-}\right)}{\mathrm{dt}}$
  • B $\frac{\mathrm{d}\left(\mathrm{Br}_2\right)}{\mathrm{dt}}=-\frac{3}{5} \frac{\mathrm{d}\left(\mathrm{Br}^{-}\right)}{\mathrm{dt}}$
  • C $\frac{\mathrm{d}\left(\mathrm{Br}_2\right)}{\mathrm{dt}}=-\frac{5}{3} \frac{\mathrm{d}\left(\mathrm{Br}^{-}\right)}{\mathrm{dt}}$
  • D $\frac{\mathrm{d}\left(\mathrm{Br}_2\right)}{\mathrm{dt}}=\frac{5}{3} \frac{\mathrm{d}\left(\mathrm{Br}^{-}\right)}{\mathrm{dt}}$
Solution:
1541 Upvotes Verified Answer
The correct answer is: $\frac{\mathrm{d}\left(\mathrm{Br}_2\right)}{\mathrm{dt}}=-\frac{3}{5} \frac{\mathrm{d}\left(\mathrm{Br}^{-}\right)}{\mathrm{dt}}$
$$
\begin{aligned}
& -\frac{1}{4} \frac{\mathrm{d}\left(\mathrm{Br}^{-}\right)}{\mathrm{dt}}=-\frac{1}{3} \frac{\mathrm{d}\left(\mathrm{Br}_2\right)}{\mathrm{dt}} \\
& \frac{\mathrm{d}\left(\mathrm{Br}_2\right)}{\mathrm{dt}}=-\frac{3}{5} \frac{\mathrm{d}\left(\mathrm{Br}^{-}\right)}{\mathrm{dt}}
\end{aligned}
$$

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