Here's why:
* Stoichiometry: Chemical reactions follow the Law of Conservation of Mass, meaning that the number of atoms of each element must be the same on both sides of the equation. The balanced chemical equation tells us the exact ratio of reactants and products involved.
* Mole Ratios: The balanced equation allows us to determine the mole ratio between the aluminum oxide and the iron. This ratio is essential to convert moles of one substance into moles of another.
* Molar Mass: Once you know the moles of iron produced, you can use its molar mass (55.845 g/mol) to calculate the mass of iron.
To solve the problem, you need to provide the following:
1. The balanced chemical equation for the reaction.
Example:
Let's say the reaction is:
Fe₂O₃ + 2 Al → Al₂O₃ + 2 Fe
Steps to solve:
1. Balance the equation: The equation is already balanced.
2. Determine the mole ratio: From the balanced equation, 1 mole of Al₂O₃ is produced for every 2 moles of Fe.
3. Calculate moles of Fe: Since 0.905 moles of Al₂O₃ is produced, we have: 0.905 mol Al₂O₃ * (2 mol Fe / 1 mol Al₂O₃) = 1.81 mol Fe.
4. Calculate mass of Fe: 1.81 mol Fe * (55.845 g/mol) = 101 g Fe (approximately).
Therefore, if 0.905 mol of Al₂O₃ is produced, approximately 101 grams of iron are also produced.
Please provide the balanced chemical equation so we can solve the problem completely.