At 298 K the value of $-\frac{\Delta\left[\mathrm{Br}^{-}\right]}{\Delta t}$ for the reaction $5…

At 298 K the value of $-\frac{\Delta\left[\mathrm{Br}^{-}\right]}{\Delta t}$ for the reaction $5 \mathrm{Br}^{-}$ $(a q)+\mathrm{BrO}_3^{-}(a q)+6 \mathrm{H}^{+}(a q) \rightarrow 3 \mathrm{Br}_2(a q)+3 \mathrm{H}_2 \mathrm{O}(1)$ is $x$ $\mathrm{mol} \mathrm{L} \mathrm{L}^{-1} \mathrm{~min}^{-1}$. What is the rate (in $\mathrm{mol} \mathrm{L}^{-1} \mathrm{~min}^{-1}$ ) of this reaction?
  1. $5 x$
  2. $x$
  3. $\frac{x}{5}$
  4. $-\frac{x}{5}$

Solution

Given reaction, $\begin{aligned} & 5 \mathrm{Br}^{-}(\mathrm{aq})+\mathrm{BrO}_3^{-}(\mathrm{aq})+6 \mathrm{H}^{+}(\mathrm{aq}) \rightarrow 3 \mathrm{Br}_2(\mathrm{aq})+3 \mathrm{H}_2 \mathrm{O}(\mathrm{l}) \\ & -\frac{\Delta\left[\mathrm{Br}^{-}\right]}{\Delta \mathrm{t}}=\mathrm{x} \mathrm{~mol} \mathrm{~L} \\ & \text {-1 } \mathrm{min}^{-1} \\ & \text { Rate of Reaction }=-\frac{1}{5} \frac{\mathrm{~d}\left[\mathrm{Br}^{-}\right]}{\mathrm{dt}} \\ & =\frac{1}{5} \mathrm{x} \end{aligned}$

Asked in: AP EAMCET 2024 (20 May Shift 2)

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