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An impure sample of sodium oxalate \( \left(\mathrm{Na}_{2} \mathrm{C}_{2} \mathrm{O}_{4}\right) \) weighing \( 0.20 \mathrm{~g} \) is dissolved in aqueous solution of \( \mathrm{H}_{2} \mathrm{SO}_{4} \) and solution is titrated at \( 70^{\circ} \mathrm{C} \), requiring \( 45 \mathrm{~mL} \) of \( 0.02 \mathrm{M} \mathrm{KMnO}_{4} \) solution. The end point is over-run, and back titration is carried out with \( 10 \mathrm{~mL} \) of \( 0.1 \mathrm{M} \) oxalic acid solution. Find the \( \% \) purity of \( \mathrm{Na}_{2} \mathrm{C}_{2} \mathrm{O}_{4} \) in sample.
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