Question
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\( \mathrm{Fe}_{2} \mathrm{O}_{3}+\mathrm{Al} \longrightarrow \mathrm{Al}_{2} \mathrm{O}_{3}+\mathrm{Fe}+\mathrm{Heat} \) Balance the above reaction

Ask by Lowe Flynn. in India
Jan 25,2025

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Answer

The balanced equation is: \[ \mathrm{Fe}_2\mathrm{O}_3 + 2\,\mathrm{Al} \longrightarrow \mathrm{Al}_2\mathrm{O}_3 + 2\,\mathrm{Fe} \]

Solution

To balance the thermite reaction: \[ \mathrm{Fe}_2\mathrm{O}_3 + \mathrm{Al} \longrightarrow \mathrm{Al}_2\mathrm{O}_3 + \mathrm{Fe} + \text{Heat} \] Follow these steps: 1. **Identify the number of atoms for each element on both sides:** - **Reactants:** - Fe: 2 - O: 3 - Al: 1 - **Products:** - Al: 2 - O: 3 - Fe: 1 2. **Balance Aluminum (Al):** There are 2 Al atoms in \(\mathrm{Al}_2\mathrm{O}_3\) on the product side, so place a coefficient of 2 before Al on the reactant side: \[ \mathrm{Fe}_2\mathrm{O}_3 + 2\,\mathrm{Al} \longrightarrow \mathrm{Al}_2\mathrm{O}_3 + \mathrm{Fe} \] 3. **Balance Iron (Fe):** Now, there are 2 Fe atoms on the reactant side and only 1 on the product side. Place a coefficient of 2 before Fe on the product side: \[ \mathrm{Fe}_2\mathrm{O}_3 + 2\,\mathrm{Al} \longrightarrow \mathrm{Al}_2\mathrm{O}_3 + 2\,\mathrm{Fe} \] 4. **Verify Oxygen (O):** Oxygen is already balanced with 3 atoms on each side. The balanced equation is: \[ \boxed{\mathrm{Fe}_2\mathrm{O}_3 + 2\,\mathrm{Al} \longrightarrow \mathrm{Al}_2\mathrm{O}_3 + 2\,\mathrm{Fe}} \]

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The Deep Dive

To balance the reaction \( \mathrm{Fe}_{2} \mathrm{O}_{3} + \mathrm{Al} \longrightarrow \mathrm{Al}_{2} \mathrm{O}_{3} + \mathrm{Fe} + \mathrm{Heat} \), we start by ensuring that the number of each type of atom is the same on both sides. The balanced equation is: \[ 2 \mathrm{Fe}_{2} \mathrm{O}_{3} + 6 \mathrm{Al} \longrightarrow 3 \mathrm{Al}_{2} \mathrm{O}_{3} + 4 \mathrm{Fe} \] This means we have 2 iron (III) oxide molecules reacting with 6 aluminum atoms to produce 3 aluminum oxide molecules and 4 iron atoms. The adjustment of coefficients ensures that the law of conservation of mass is upheld without changing the actual substances involved!

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