Q74 / 200 · NEET 2022 (Phase 2) · Chemistry

What fraction of $\mathrm{Fe}$ exists as $\mathrm{Fe}$ (III) in $\mathrm{Fe}_{0.96} \mathrm{O}$ ? (Consider $\mathrm{Fe}_{0.96}$ to be made up of $\mathrm{Fe}$ (II) and $\mathrm{Fe}$ (III) only)

  • Correct answer
    A
    $\frac{1}{12}$
  • B
    0.08
  • C
    $\frac{1}{16}$
  • D
    $\frac{1}{20}$

Solution

Let's assume $\mathrm{Fe}$ in $\mathrm{Fe}^{2+}=\mathrm{x}$ Let's assume $\mathrm{Fe}$ in $\mathrm{Fe}^{3+}(0.96-x)$ Using the charge conservation formula for $\mathrm{Fe}_{0.96} \mathrm{O}_{1.00}$ We get: $(x)(+2)+(0.96-x)(+3)-2=0$ $\begin{aligned} & =2 x+2.88-3 x-2=0 \\ & x=0.88 \end{aligned}$ So, number of ions of $\mathrm{Fe}^{3+}=0.96-x=0.96-0.88=0.08$ $\text {Fraction of } \mathrm{Fe}^{3+} \text { ion } =\frac{0.08}{0.96} =\frac{1}{12}$

Hence, the correct answer is option: 'A'.

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