Balanced equation for the redox reaction is:
2KMnO4 + 5(COOH)2 + 3H2SO4 → K2SO4 + 2MnSO4 + 10CO2 + 8H2O
No of moles oxalic acid = 2.70/90 = 0.03 mole
From the balanced equation, 5 moles of (COOH)2 = 2 mole KMnO4
Then 0.03 mole (COOH)2 = 0.012 moles of KMnO4.
Now, 0.05 mole of KMnO4 is present in solution given = 1000 cm3.
0.012 mole of KMnO4 is present in solution = \(\frac{2}{5}\) = 240 cm3