What is a possible mole-mole factor for the following equation? \( 2 \mathrm{Fe}_{2} \mathrm{O}_{3}+3 \mathrm{C} \rightarrow 3 \mathrm{CO}_{2}+4 \mathrm{Fe} \) View Available Hint(s) 2 moles Fe 3 moles \( \mathrm{CO}_{2} \) 2 moles \( \mathrm{Fe}_{3} \) moles C 3 moles \( \mathrm{Fe}_{2} \mathrm{O}_{3} 2 \) moles C 3 moles \( \mathrm{CO}_{2} 2 \) moles \( \mathrm{Fe}_{2} \mathrm{O}_{3} \)
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In this chemical reaction, the balanced equation tells us the relative amounts of each substance involved. For instance, for every 2 moles of iron(III) oxide (\(\mathrm{Fe}_{2}\mathrm{O}_{3}\)), you need 3 moles of carbon (\(\mathrm{C}\)). This means a mole-mole factor could be expressed as \(\frac{3 \text{ moles C}}{2 \text{ moles } \mathrm{Fe}_{2}\mathrm{O}_{3}}\). Another fun fact: as the reaction proceeds, 3 moles of carbon will produce 3 moles of carbon dioxide (\(\mathrm{CO}_{2}\)) per the stoichiometry of the equation! So, 1 mole of carbon can be seen as leading to 1 mole of carbon dioxide, giving you a handy mole-mole ratio you can use in calculations.