Question:
The composition of a sample of wustite is \( \text{Fe}_{0.93} \text{O}_{1.00} \). Percentage of iron in the form of \( \text{Fe}^{3+} \) ion is nearly:
The composition of a sample of wustite is \( \text{Fe}_{0.93} \text{O}_{1.00} \). Percentage of iron in the form of \( \text{Fe}^{3+} \) ion is nearly:
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For non-stoichiometric compounds like wustite, charge balance method is used to determine the proportion of different oxidation states.
Updated On: Jun 5, 2025
- \( 85 \)
- \( 15 \)
- \( 93 \)
- \( 7 \)
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The Correct Option is B
Solution and Explanation
Step 1: Understanding Wustite Composition
Wustite (\( FeO \)) is a non-stoichiometric compound, meaning it contains both \( \text{Fe}^{2+} \) and \( \text{Fe}^{3+} \).
The given formula shows iron deficiency, indicating the presence of \( \text{Fe}^{3+} \).
Step 2: Determining Iron Oxidation States
Let \( x \) be the fraction of \( \text{Fe}^{3+} \).
Charge balance equation:
\[
(0.93 - x) \times (+2) + x \times (+3) = 1 \times (-2)
\]
\[
1.86 - 2x + 3x = -2
\]
\[
x = 0.14
\]
Step 3: Percentage Calculation
Percentage of \( \text{Fe}^{3+} \):
\[
\frac{x}{0.93} \times 100 = \frac{0.14}{0.93} \times 100 \approx 15%
\]
Conclusion
Thus, the correct answer is:
\[
15%
\]
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