QuestionMay 26, 2025

14. Calculate the following using mole to mass Stoichiometry. What mass of iron is needed to react with sulfur in order to produce 96 grams of iron (III) sulfide according to the following equation? 2Fe+3Sarrow Fe_(2)S_(3) 52g S 104g Fe 52 g Fe 84gFe2S3

14. Calculate the following using mole to mass Stoichiometry. What mass of iron is needed to react with sulfur in order to produce 96 grams of iron (III) sulfide according to the following equation? 2Fe+3Sarrow Fe_(2)S_(3) 52g S 104g Fe 52 g Fe 84gFe2S3
14. Calculate the following using mole to mass Stoichiometry.
What mass of iron is needed to react with sulfur in order to produce 96 grams of
iron (III) sulfide according to the following equation?
2Fe+3Sarrow Fe_(2)S_(3)
52g S
104g Fe
52 g Fe
84gFe2S3

Solution
4.6(289 votes)

Answer

52 g Fe Explanation 1. Determine Molar Mass of Fe_2S_3 Calculate molar mass: 2 \times 56 \, \text{g/mol (Fe)} + 3 \times 32 \, \text{g/mol (S)} = 207 \, \text{g/mol}. 2. Calculate Moles of Fe_2S_3 Use formula: **moles = \frac{\text{mass}}{\text{molar mass}}**. For 96 \, \text{g} of Fe_2S_3: \frac{96}{207} \approx 0.464 \, \text{mol}. 3. Use Stoichiometry to Find Moles of Fe From the equation, 2 \, \text{mol Fe} produces 1 \, \text{mol } Fe_2S_3. Therefore, moles of Fe needed = 2 \times 0.464 = 0.928 \, \text{mol}. 4. Calculate Mass of Fe Needed Use formula: **mass = \text{moles} \times \text{molar mass}**. For Fe: 0.928 \times 56 = 52 \, \text{g}.

Explanation

1. Determine Molar Mass of $Fe_2S_3$<br /> Calculate molar mass: $2 \times 56 \, \text{g/mol (Fe)} + 3 \times 32 \, \text{g/mol (S)} = 207 \, \text{g/mol}$.<br /><br />2. Calculate Moles of $Fe_2S_3$<br /> Use formula: **moles = \frac{\text{mass}}{\text{molar mass}}**. For $96 \, \text{g}$ of $Fe_2S_3$: $\frac{96}{207} \approx 0.464 \, \text{mol}$.<br /><br />3. Use Stoichiometry to Find Moles of Fe<br /> From the equation, $2 \, \text{mol Fe}$ produces $1 \, \text{mol } Fe_2S_3$. Therefore, moles of Fe needed = $2 \times 0.464 = 0.928 \, \text{mol}$.<br /><br />4. Calculate Mass of Fe Needed<br /> Use formula: **mass = \text{moles} \times \text{molar mass}**. For Fe: $0.928 \times 56 = 52 \, \text{g}$.
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