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Q. In the reaction
$BrO _{3}^{-}( aq )+5 Br ^{-}( aq )+6 H ^{+} \rightarrow 3 Br _{2}(l)+3 H _{2} O (l)$
The rate of appearance of bromine $\left( Br _{2}\right)$ is related to rate of disappearance of bromide ions as following

AIPMTAIPMT 2009Chemical Kinetics

Solution:

$-\frac{1}{4} \frac{ d \left( Br ^{-}\right)}{ dt }=-\frac{1}{3} \frac{ d \left( Br _{2}\right)}{ dt }$

$\frac{ d \left( Br _{2}\right)}{ dt }=-\frac{3}{5} \frac{ d \left( Br ^{-}\right)}{ dt }$