140 g of S2Cl2 was collected from the reaction of 640 g of Sulfur and 142 g of Chlorine. What is the maximum amount of S2Cl2 in grams that can be produced from the reaction?
Solution:
The molar mass of sulfur (S8) is 256 g/mol
The molar mass of chlorine gas (Cl2) is 71 g/mol
Calculate moles of each reactant:
Moles of S8 = (640 g S8) × (1 mol S8 / 256 g S8) = 2.5 mol S8
Moles of Cl2 = (142 g Cl2) × (1 mol Cl2 / 71 g Cl2) = 2.0 mol Cl2
Balanced chemical equation:
S8(l) + 4Cl2(g) → 4S2Cl2(l)
According to stoichiometry:
1 mol of S8 reacts with 4 mol of Cl2
Thus, 2.5 mol of S8 react with:
(2.5 mol S8) × (4 mol Cl2 / 1 mol S8) = 10 mol Cl2
However, initially there is 2.0 mol of Cl2 (according to the task)
Therefore, Cl2 acts as limiting reagent and S8 is excess reagent
According to stoichiometry:
4 mol of Cl2 produce 4 mol of S2Cl2
Thus, 2.0 mol of Cl2 produce:
(2.0 mol Cl2) × (4 mol S2Cl2 / 4 mol Cl2) = 2.0 mol S2Cl2
The molar mass of S2Cl2 is 135 g/mol
Therefore,
Mass of S2Cl2 = (2.0 mol S2Cl2) × (135 g S2Cl2 / 1 mol S2Cl2) = 270 g S2Cl2
Mass of S2Cl2 = 270 g
Answer: The maximum amount of S2Cl2 that can be produced from the reaction is 270 grams
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