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A solution of permanganate is standardized by titration with oxalic acid (H2C2O4).\left(\mathrm{H}_{2} \mathrm{C}_{2} \mathrm{O}_{4}\right). It required 28.97 mL of the permanganate solution to react completely with 0.1058 g of oxalic acid. The unbalanced equation for the reaction is

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First we need to determine oxidation numbers.

MnO4(aq)+H2C2O4(aq)Mn+2(aq)+CO2(g)\text{MnO}_4^{-} (\text{aq})+ \text{H}_2\text{C}_2\text{O}_4 (\text{aq}) \rightarrow \text{Mn}^{+2} (\text{aq}) + \text{CO}_2 (\text{g})

Oxygen\textbf{Oxygen} is always -2 except in peroxides. Compounds must always have neutral charge. Knowing that we can calculate oxidation number for any compound. For MnO4MnO_4^{-} we see that we have 4 molecules of oxygen so its oxidation number 2×4=8-2\times{4}=-8 but we see a negative charge so we add +1+1 and now we have 8+1=7-8+1=-7.

As we mentioned, compounds always need to have neutral charge, so we need to cancel that negative charge, so that means that oxidation number for Manganese\textbf{Manganese} is +7.

Using that logic we calculate oxidation numbers for the rest of the elements:

Hydrogen\textbf{Hydrogen} is always +1 and we know that Oxygen is -2, so we calculate that the oxidation number for Carbon\textbf{Carbon} is +3.

For our products, we have already written charge for Manganese\textbf{Manganese} +2, and we calculate that the oxidation number for Carbon\textbf{Carbon} is +4.

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