Consider the reaction 4Fe(s) + 302(g) --> 2FE203(s) If you started with and consumed 4 moles of O2, how many moles of Fe2O3 would you produce?

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### Understanding the Reaction of Iron and Oxygen

**Chemical Reaction:**
\[ 4\text{Fe}(s) + 3\text{O}_2(g) \rightarrow 2\text{Fe}_2\text{O}_3(s) \]

In this reaction, solid iron (\(\text{Fe}\)) reacts with gaseous oxygen (\(\text{O}_2\)) to form solid iron(III) oxide (\(\text{Fe}_2\text{O}_3\)).

**Problem Statement:**
If you started with and consumed 4 moles of \(\text{O}_2\), how many moles of \(\text{Fe}_2\text{O}_3\) would you produce?

**Explanation:**
To solve, use the stoichiometric ratios from the balanced equation:
- 3 moles of \(\text{O}_2\) produce 2 moles of \(\text{Fe}_2\text{O}_3\).

**Calculation:**
If 3 moles of \(\text{O}_2\) yield 2 moles of \(\text{Fe}_2\text{O}_3\), then 4 moles of \(\text{O}_2\) would yield:
\[ \left(\frac{2}{3}\right) \times 4 = \frac{8}{3} \approx 2.67 \text{ moles of } \text{Fe}_2\text{O}_3\]

Therefore, using 4 moles of oxygen will produce approximately 2.67 moles of iron(III) oxide.
Transcribed Image Text:### Understanding the Reaction of Iron and Oxygen **Chemical Reaction:** \[ 4\text{Fe}(s) + 3\text{O}_2(g) \rightarrow 2\text{Fe}_2\text{O}_3(s) \] In this reaction, solid iron (\(\text{Fe}\)) reacts with gaseous oxygen (\(\text{O}_2\)) to form solid iron(III) oxide (\(\text{Fe}_2\text{O}_3\)). **Problem Statement:** If you started with and consumed 4 moles of \(\text{O}_2\), how many moles of \(\text{Fe}_2\text{O}_3\) would you produce? **Explanation:** To solve, use the stoichiometric ratios from the balanced equation: - 3 moles of \(\text{O}_2\) produce 2 moles of \(\text{Fe}_2\text{O}_3\). **Calculation:** If 3 moles of \(\text{O}_2\) yield 2 moles of \(\text{Fe}_2\text{O}_3\), then 4 moles of \(\text{O}_2\) would yield: \[ \left(\frac{2}{3}\right) \times 4 = \frac{8}{3} \approx 2.67 \text{ moles of } \text{Fe}_2\text{O}_3\] Therefore, using 4 moles of oxygen will produce approximately 2.67 moles of iron(III) oxide.
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