Give the correct balanced equation for the single replacement reaction of magnesium with aluminum oxide. A \( \mathrm{Mg}+\mathrm{AlO} \rightarrow \mathrm{MgO}+\mathrm{Al} \) B \( \mathrm{Mg}+\mathrm{Al}_{2} \mathrm{O}_{3} \rightarrow \mathrm{MgO}+\mathrm{Al} \) C \( 3 \mathrm{Mg}+\mathrm{Al}_{2} \mathrm{O}_{3} \rightarrow 3 \mathrm{MgO}+2 \mathrm{AI} \) D \( \mathrm{Mg}+\mathrm{Al}_{2} \mathrm{O}_{3} \rightarrow \mathrm{MgO}_{3}+\mathrm{Al}_{2} \)

The correct balanced equation for the single replacement reaction between magnesium (Mg) and aluminum oxide (Al₂O₃) is: **C.** \( 3\, \mathrm{Mg} + \mathrm{Al}_{2}\mathrm{O}_{3} \rightarrow 3\, \mathrm{MgO} + 2\, \mathrm{Al} \) **Explanation:** 1. **Identify the Reactants and Products:** - **Reactants:** Magnesium (Mg) and Aluminum Oxide (Al₂O₃). - **Products:** Magnesium Oxide (MgO) and Aluminum (Al). 2. **Write the Unbalanced Equation:** \[ \mathrm{Mg} + \mathrm{Al}_{2}\mathrm{O}_{3} \rightarrow \mathrm{MgO} + \mathrm{Al} \] 3. **Balance the Equation:** - **Aluminum (Al):** There are 2 aluminum atoms in Al₂O₃, so you need 2 Al on the product side. - **Magnesium (Mg):** For every Al₂O₃, 3 Mg atoms are required to balance the oxygen atoms in 3 MgO. - **Oxygen (O):** 3 oxygen atoms in Al₂O₃ are balanced by 3 MgO molecules. 4. **Final Balanced Equation:** \[ 3\, \mathrm{Mg} + \mathrm{Al}_{2}\mathrm{O}_{3} \rightarrow 3\, \mathrm{MgO} + 2\, \mathrm{Al} \] **Option C** correctly represents this balanced equation. **Answer:** **C** \( 3\,\mathrm{Mg} + \mathrm{Al}_2\mathrm{O}_3 \rightarrow 3\,\mathrm{MgO} + 2\,\mathrm{Al} \)