Final answer:
To produce 7 moles of iron (III) chloride, 10.5 moles of chlorine gas are required.
Step-by-step explanation:
To determine how many moles of chlorine gas are required to react with sufficient iron to produce 7 moles of iron (III) chloride, we need to use the stoichiometry of the balanced chemical equation. The equation tells us that 2 moles of iron react with 3 moles of chlorine gas to produce 2 moles of iron (III) chloride. This means that the mole ratio of chlorine gas to iron (III) chloride is 3:2. To calculate the number of moles of chlorine gas needed, we can set up a proportion:
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- 3 moles Cl₂ / 2 moles FeCl₃ = x moles Cl₂ / 7 moles FeCl₃
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- Cross-multiply and solve for x:
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- x = (3 moles Cl₂ / 2 moles FeCl₃) * 7 moles FeCl₃
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- x = 10.5 moles Cl₂
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