1. Balanced Chemical Equation:
The balanced chemical equation is:
2Fe + 3S → Fe₂S₃
2. Convert Grams of Sulfur to Moles:
* Find the molar mass of sulfur (S): 32.06 g/mol
* Divide the mass of sulfur by its molar mass:
48.0 g S / 32.06 g/mol = 1.497 mol S
3. Use Mole Ratio from the Balanced Equation:
* The balanced equation shows a 2:3 mole ratio between Fe and S.
* For every 3 moles of S, we need 2 moles of Fe.
* Calculate the moles of Fe needed: (1.497 mol S) * (2 mol Fe / 3 mol S) = 0.998 mol Fe
4. Convert Moles of Iron to Grams:
* Find the molar mass of iron (Fe): 55.845 g/mol
* Multiply the moles of Fe by its molar mass:
(0.998 mol Fe) * (55.845 g/mol) = 55.7 g Fe
Answer: You need approximately 55.7 grams of iron to react completely with 48.0 grams of sulfur.