Solid StatehardNUMERICAL

A sample of wustite is experimentally found to have the non-stoichiometric composition . What is theSolid State Chemistry Question

Question

A sample of wustite is experimentally found to have the non-stoichiometric composition $Fe_{0.93}O_{1.00}$. What is the percentage of iron atoms present specifically in the form of $Fe^{3+}$? (Round to the nearest integer)

Answer: 15

💡 Solution & Explanation

Let there be 100 $O^{2-}$ ions. Total negative charge = $200$. Therefore, total positive charge on 93 Fe ions must be $+200$. Let $x$ be the number of $Fe^{3+}$ ions and $(93-x)$ be the number of $Fe^{2+}$ ions. $3x + 2(93 - x) = 200 \implies x + 186 = 200 \implies x = 14$. The percentage of $Fe^{3+}$ is $\frac{14}{93} \times 100 \approx 15.05\%$. Rounded to the nearest integer, it is 15.

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