Question
Permanganate ion reacts with bromide ion in basic medium to give manganese dioxide and bromate ion. Write the balanced chemical equation for the reaction.

Answer

Step 1:$\text{MnO}_4^-\text{(aq)}+\text{Br}\text{(aq)}\xrightarrow{ \ \ \ \ \ }\text{MnO}_2\text{(aq)}+\text{BrO}_3^-\text{(aq)}\\ \ +7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ +4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ +5$
Step 2: $MnO _4^{-}$is oxidant because its oxidation state is decreasing. $Br ^{-}$is reductant because its oxidation state is increasing.
Step 3: Oxidation state of Mn is decreasing by 3 . Oxidation state of Br is increasing by 6 . To equalize increase and decrease, multiply $MnO _4^{-}$by 2 and $Br ^{-}$by 1 we get.
$2 MnO_4^{-}(aq)+Br^{-}(aq) \longrightarrow MnO_2(s)+Br_2^{-}(aq)$
Step 4: Now for balncaing oxygen, we add 1 molecule of $H _2 O$ on RHS.
$2 MnO_4^{-}(aq)+Br^{-}(aq)$
$\longrightarrow MnO_2(s)+BrO_3^{-}(aq)+H_2 O(l)$
Step 5: As the reaction is taking place in basic medium to balance hydrogen, add $2 H _2 O$ molecules on LHS and $2 OH ^{-}$on RHs.
$2 MnO_4^{-}(aq)+Br^{-}(aq)$
$\longrightarrow MnO_2(s)+BrO_3^{-}(aq)+H_2 O(l)+2 OH^{-}(aq)$
It can be seen 1 molecule of $H _2 O$ gets cancelled on both sides, we get.
$2 MnO_4^{-}(aq)+Br^{-}(aq)$
$\longrightarrow MnO_2(s)+BrO_3^{-}(aq)+H_2 O(l)+2 OH^{-}(aq)$
is a balanced equation.

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