Some Basic Concepts of Chemistry - Result Question 40

Interger Answer Type Questions

41. A 1.0 g sample of $\mathrm{Fe}_2 \mathrm{O}_3$ solid of $55.2 %$ purity is dissolved in acid and reduced by heating the solution with zinc dust. The resultant solution is cooled and made up to 100.0 mL . An aliquot of 25.0 mL of this solution requires for titration. Calculate the number of electrons taken up by the oxidant in the reaction of the above titration.

(1991, 4M)

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Answer:

Correct Answer: 41. $\left(1.04 \times 10^4\right)$

Solution:

  1. Mass of $\mathrm{Fe}_2 \mathrm{O}_3=0.552 \mathrm{~g}$

millimol of $\mathrm{Fe}_2 \mathrm{O}_3=\frac{0.552}{160} \times 1000=3.45$

During treatment with Zn -dust, all $\mathrm{Fe}^{3+}$ is reduced to $\mathrm{Fe}^{2+}$, hence

millimol of $\mathrm{Fe}^{2+}($ in 100 mL$)=3.45 \times 2=6.90$

$\Rightarrow$ In 25 mL aliquot, $\frac{6.90}{4}=1.725$ millimol $\mathrm{Fe}^{2+}$ ion.

Finally $\mathrm{Fe}^{2+}$ is oxidised to $\mathrm{Fe}^{3+}$, liberating one electron per $\mathrm{Fe}^{2+}$ ion. Therefore, total electrons taken up by oxidant.

$\begin{aligned} & =1.725 \times 10^{-3} \times 6.023 \times 10^{23} \\ & =1.04 \times 10^{21} \end{aligned}$