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Q. For the redox reaction: $MnO^{-}_{4}+C_{2}O^{2-}_{4}+H^{+} \to Mn^{2+}+CO_{2}+H_{2}O$
the correct coefficients of the reactants for the balanced reaction are:
$MnO^{-}_{4}$ $C_{2}O^{2-}_{4}$ $H^{+}$
(a) 2 5 16
(b) 16 5 2
(c) 5 16 2
(d) 2 16 5

Redox Reactions

Solution:

To get the balanced reaction, we write two half reactions
(i) $C_{2}O^{2-}_{4} \to 2CO_{2}+2e^{-}$ (Oxidation)
(ii) $MnO^{-}_{4}+8H^{+}+5e^{-} \to Mn^{2+}+4H_{2}O$ (Reduction) To get balanced net reaction multiply (i) by 5 and (ii) by 2 and add, we get
$2MnO^{-}_{4}+16H^{+}\,5C_{2}O^{2-}_{4} \to 2Mn^{2+}+10CO_{2}+8H_{2}O$
From this balanced equation we get various coefficients as 2, 5 and 16 for $MnO^{-}_{4}, C_{2}O^{2-}_{4}$ and $H^{+}$ respectively