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Q.

Which of the following expressions is correct for the rate of reaction given below?
$5 {Br}^{-} (aq) + {BrO}_{3}^{-} (aq) + 6 H^{+} (aq) \to 3 {Br}_{2} (aq) + 3 H_{2} O (l)$

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a

$\frac{Δ [B r^{-}]}{Δ t} = \frac{6}{5} \frac{Δ [H^{+}]}{Δ t}$

b

$\frac{Δ [B r^{-}]}{Δ t} = \frac{5}{6} \frac{Δ [H^{+}]}{Δ t}$

c

$\frac{Δ [B r^{-}]}{Δ t} = 6 \frac{Δ [H^{+}]}{Δ t}$

d

$\frac{Δ [B r^{-}]}{Δ t} = 5 \frac{Δ [H^{+}]}{Δ t}$

answer is C.

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Detailed Solution

$\begin{array}{l} 5 {Br}^{-} (aq) + {Br}_{3}^{-} (aq) + 6 H^{+} (aq) \to 3 {Br}_{2} (aq) + 3 H_{2} O (l) \\ - \frac{1}{5} \frac{Δ [Br]}{Δt} = - \frac{1}{6} \frac{Δ [H^{+}]}{Δt} \frac{Δ [{Br}^{-}]}{Δt} = \frac{5}{6} \frac{Δ [H^{+}]}{Δt} \end{array}$

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