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Q. Write the stoichiometric coefficient for the following reaction:
$xI_2 + yOH^- + IO_3^- + zI^- + 3H_2O$
x y z
(a) 6 3 5
(b) 3 2 3
(c) 3 6 5
(d) 3 3 3

Redox Reactions

Solution:

$I_{2} + OH ^{-} \to IO_{3}^{-} + I^{-} + H_{2}O$
Oxidation half: $I_{2} + OH ^{-} \to IO_{3}^{-} + H_{2}O$

Reduction half : $I_{2} \to I^{-}$
Oxidation half-
Adding $OH^{-}, I_{2} + 12OH^{-}\to 2IO_{3}^{-} + 6H_{2}O$
Adding electrons:
$I_{2} + 12OH^{-} \to 2IO_{3}^{-} + 6H_{2}O + 10e^{-}$
Reduction half -
$I_{2} + 2e^{-} \to 2I^{-}$
Balancing $e^{-}$,
$I_{2} + 12OH^{-} \to 2IO_{3}^{-} + 6H_{2}O + 10e^{-}$
$I_{2} + 2e \to 2I^{-}] \times 5$
Adding both reactions
$6I_{2} + 12OH^{-}\to 2IO_{3}^{-} + 10I^{-}+ 6H_{2}O$
Dividing by $2$,
$3I_{2} + 6OH^{-}\to IO_{3}^{-} + 5I^{-}+ 6H_{2}O$