Chemical Kinetics - Result Question 11
####11. In the reaction
[2009]
$BrO_3^{-}(aq)+5 Br^{-}(aq)+6 H^{+} \to 3 Br_2(l)$
$+3 H_2 O(l)$
The rate of appearance of bromine $(Br_2)$ is related to rate of disappearance of bromide ions as following:
(a) $\frac{d[Br_2]}{d t}=-\frac{5}{3} \frac{d[Br^{-}]}{d t}$
(b) $\frac{d[Br_2]}{d t}=\frac{5}{3} \frac{d[Br^{-}]}{d t}$
(c) $\frac{d[Br_2]}{d t}=\frac{3}{5} \frac{d[Br^{-}]}{d t}$
(d) $\frac{d[Br_2]}{d t}=-\frac{3}{5} \frac{d[Br^{-}]}{d t}$
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Solution:
- (d) Rate of disappearance of $Br^{-}$
$=$ rate of appearance of $Br_2$
$\Rightarrow-\frac{1}{5} \frac{d[Br^{-}]}{d t}=\frac{1}{3} \frac{d[Br_2]}{d t}$
$\Rightarrow \frac{d[Br_2]}{d t}=-\frac{3}{5} \frac{d[Br^{-}]}{d t}$
