The reaction between potassium permanganate and oxalic acid is a redox reaction and produces $\ce{Mn^2+}$ ions, the final solution however goes yellow/brown. If $\ce{Mn^2+}$ ions are colourless, and its complex ions are pink, where does the yellow/brown colour come from?
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The reaction between $\ce{MnO4-}$ and $\ce{C2O4^2-}$ is performed under acidic conditions.
In acidic conditions only, $\ce{MnO4-}$ gets reduced to colourless $\ce{Mn ^{2+}}$ as, $$\ce{MnO4- + 8H+ +5e- -> Mn^2+ + 4H2O}$$
But if you don't maintain proper acidic condition of the medium, it continuously absorbs $\ce{H+}$. Eventually, due to lack of protons, it gets reduced to brown coloured $\ce{MnO2}$ under neutral conditions, where it needs less no of protons to get reduced than acidic conditions, as $$\ce{MnO4- + 4H+ + 3e--> MnO2 + 2H2O}$$ That's why you see the brown colour which is due to $\ce{MnO_2}$.
