Consider the following reaction in aqueous solution.

$5 B r^{-} (a q) + B r O_{3}^{-} (a q) + 6 H^{+} (a q) \to 3 B r_{2} (a q) + 3 H_{2} O (l)$

If the rate of appearance of $B r_{2}$ at a particular moment during the reaction is 0.025 $M s^{- 1}$ , what is the rate of disappearance (in $M s^{- 1}$ ) of $B r^{-}$ at that moment?

0.025

M s^{- 1}

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0.042

M s^{- 1}

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0.075

M s^{- 1}

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0.125

M s^{- 1}

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Solution

The correct option is B 0.042 $M s^{- 1}$
The two rates are related as:

$- \frac{1}{5} \frac{d [B r^{-}]}{d t} = \frac{1}{3} \frac{d [B r_{2}]}{d t}$

$- \frac{d [B r^{-}]}{d t} = \frac{5}{3} \frac{d [B r_{2}]}{d t} = \frac{5}{3} \times 0.025 = 0.042 M s^{- 1}$

Hence, option $B$ is correct.

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Similar questions

5 B r^{-} (a q) + 6 H^{+} (a q) + B r O_{3}^{-} (a q) \to 3 B r_{2} (a q) + 3 H_{2} O (l)

- \frac{△ [B r O_{3}^{-}]}{△ t} = 0.01 m o l L^{- 1} m i n^{- 1}

\frac{△ [B r_{2}]}{△ t}

m o l L^{- 1} m i n^{- 1}

B r_{2}

{B r}^{-}

B r O^{3 -} (a q) + 5 B r^{-} (a q) + 6 H^{+} \to 3 B r_{2} (l) + 3 H_{2} O (l)

{B r O_{3}}^{-} (a q .) + 5 {B r}^{-} (a q .) + 6 H^{+} (a q .) ⟶ 3 {B r}_{2} (l) + 3 H_{2} O (l)

({B r}_{2})

5 B r^{- 1} (a q) + 6 H^{+} (a q) + B r O_{3}^{-} (a q) \to 3 B r_{2} (a q) + 3 H_{2} O (l)

- \frac{Δ [B r O_{3}^{-}]}{Δ t} = 0.01 m o l L^{- 1} m i n^{- 1}, \frac{Δ [B r_{2}]}{Δ t}

m o l L^{- 1} m i n^{- 1}

B r O_{3 (a q)}^{-} + 5 B r_{(a q)}^{-} + 6 H_{(a q)}^{+} \to 3 B r_{2 (l)} + 3 H_{2} O_{(l)}

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