Which of the following expressions is correct for the rate of reaction given below? $5 B - r (a q) + B r 0_{3}^{-} (a q) + 6 H^{+} (a q) \to 3 B r_{2} (a q) + 3 H_{2} O (l)$

$(a) \frac{Δ [B r^{-}]}{Δ t} = 5 \frac{Δ [H^{+}]}{Δ t} (b) \frac{Δ [B r^{-}]}{Δ t} = \frac{6}{5} \frac{Δ [H^{+}]}{Δ t} (c) \frac{Δ [B r^{-}]}{Δ t} = \frac{5}{6} \frac{Δ [H^{+}]}{Δ t} (d) \frac{Δ [B r^{-}]}{Δ t} = 6 \frac{Δ [H^{+}]}{Δ t}$

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Solution

Answer: (c).

Given, chemical reaction is $5 B - r (a q) + B r 0_{3}^{-} (a q) + 6 H^{+} (a q) \to 3 B r_{2} (a q) + 3 H_{2} O (l)$

Rate law expression for the above equation can be written as $- \frac{1}{5} \frac{Δ [B r^{-}]}{Δ t} = \frac{Δ [B r O_{3}^{-}]}{Δ t} = \frac{- 1}{6} \frac{Δ [H^{+}]}{Δ t} = \frac{+ 1}{3} \frac{Δ [B r_{2}]}{Δ t} \Rightarrow \frac{Δ [B r^{-}]}{Δ t} = \frac{Δ [B r O_{3}^{-}]}{Δ t} = \frac{- 5}{6} \frac{Δ [H^{+}]}{Δ t} \Rightarrow \frac{Δ [B r^{-}]}{Δ t} = \frac{5}{6} \frac{Δ [H^{+}]}{Δ t}$

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- \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}

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

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