Which of the following is a valid mole ratio from the balanced equation 2Fe2O3 + 3C → 4Fe + 3CO2?

• A. 2 mol Fe2O3 : 3 mol C
• B. 3 mol CO2 : 2 mol Fe2O3
• C. 4 mol Fe : 2 mol CO2
• D. 3 mol C : 2 mol Fe

Answer: (A)

Verified step by step guidance

1. Identify the balanced chemical equation: \$2\mathrm{Fe}_2\mathrm{O}_3 + 3\mathrm{C} \rightarrow 4\mathrm{Fe} + 3\mathrm{CO}_2$.
2. Understand that mole ratios come directly from the coefficients of the balanced equation, representing the relative amounts of each substance involved in the reaction.
3. Write down the mole ratios from the coefficients: for example, \$2\( mol \)\mathrm{Fe}_2\mathrm{O}_3\( to \)3\( mol \)\mathrm{C}\(, \)3\( mol \)\mathrm{CO}_2\( to \)2\( mol \)\mathrm{Fe}_2\mathrm{O}_3\(, \)4\( mol \)\mathrm{Fe}\( to \)2\( mol \)\mathrm{Fe}_2\mathrm{O}_3\(, and \)3\( mol \)\mathrm{C}\( to \)2\( mol \)\mathrm{Fe}$.
4. Check each given mole ratio against these derived ratios to see if they match the coefficients in the balanced equation exactly or as a simple multiple.
5. Confirm that the mole ratio must reflect the stoichiometric coefficients from the balanced equation without mixing substances that are not directly related by coefficients.