1. Write the Balanced Chemical Equation:
The reaction you're describing is the thermite reaction:
Fe₂O₃ (s) + 2 Al (s) → 2 Fe (l) + Al₂O₃ (s)
2. Identify the Mole Ratio:
The balanced equation shows that 2 moles of Al react to produce 1 mole of Al₂O₃.
3. Use the Mole Ratio to Calculate Moles of Al₂O₃:
Since we are given moles of Fe (0.60 mol), we need to find the corresponding moles of Al₂O₃ produced.
* Step 1: Notice that the mole ratio between Fe and Al₂O₃ is 2:1 (from the balanced equation).
* Step 2: Use this ratio to convert moles of Fe to moles of Al₂O₃:
0.60 mol Fe × (1 mol Al₂O₃ / 2 mol Fe) = 0.30 mol Al₂O₃
Answer: 0.30 mol of Al₂O₃ are produced when 0.60 mol of Fe react.