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|                       |  2\text{Al}_2\text{O}_3 + 3\text{C} \rightarrow 4\text{Al} + 3\text{CO}_2 |
|-----------------------|--------------------------------------------------------------------------|
| **Given**             | 71 grams of \(\text{Al}\)                                            |
| **Molar Mass**        | \(\text{Al}\) is approximately 27.0 g/mol                              |
| **Moles of \(\text{Al}\)** | \(\frac{71 \, \text{g}}{27.0 \, \text{g/mol}} \approx 2.63 \, \text{mol}\)|
| **Stoichiometry**     | 3 moles of \(\text{C}\) are needed to produce 4 moles of \(\text{Al}\)   |
| **Moles of \(\text{C}\)**| \(\frac{3}{2} \times 2.63 \approx 3.945 \, \text{mol}\)              |