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Q. An impure sample of sodium oxalate $(Na_2C_2O_4)$ weighing $0.20 \,g$ is dissolved in aqueous solution of $H_2SO_4$ and solution is titrated at $70^{\circ}C$, requiring $45\, mL$ of $0.02 \,M \,KMnO_4$ solution. The end point is overrun, and back titration in carried out with $10 \,mL$ of $0.1 \,M$ oxalic acid solution. Find the percentage purity of $Na_2C_2O_4$ in sample.

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Solution:

$m$-eq. of $Na_2C_2O_4 = m$-eq. of $ KMnO_4$ reacted
total $m$-eq. of $KM nO_4^-$ excess $m$-eq. of $KMnO_4$ reacted with $H_2C_2O_ 4$
$= 45 \times 0.02 \times 5 -10 \times 0.1 \times 2 = 2.5$
$1000 \times \frac{W}{134} \times 2 = 2.5$
$W_{Na_2C_2O_4} = 0.1675\,g$
$\%$ purity of $Na_2C_2O_4$ in sample
$ = \frac{0.1675}{0.2} \times 100 = 83.75$