It is an example of redox reaction where oxalate ions are oxidized into "CO_2" and permanganate ions are reduced from "Mn^{+7}" to "Mn^{+2}"
The reactions are as follows(in acidic solution):
The oxidation half-reaction is:
"5C_2O_4^-\\to 10CO_2(g) + 10e^-"
The reduction half-reaction is:
"2MnO_4+ 16H^+ + 10e^- \\to 2Mn^{+2}(aq)" "+ 8H_2O(l)"
In other words, the oxalate ion is oxidized by the permanganate ion (and the permanganate ion is reduced).
The overall balanced redox reaction is the combination of the two balanced half-reactions:
"2MnO^{-4} + 16H^+ + 5C_2O_4^{-2} \\to 10CO_2(g) + 2Mn^{+2}(aq) + 8H_2O(l)"
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