HOW MANY GRAMS SiO2 IS REQUIRED TO PRODUCE 73.8G OF SiC ?
Solution:
Calculate the moles of SiC:
The molar mass of SiC is 40 g/mol
Therefore,
Moles of SiC = (73.8 g SiC) × (1 mol SiC / 40 g SiC) = 1.845 mol
Balanced chemical equation:
SiO2 + 3C → SiC + 2CO
According to stoichiometry:
1 mol of SiO2 produces 1 mol of SiC
X mol of SiO2 produces 1.845 mol of SiC
Thus,
Moles of SiO2 = X = (1.845 mol SiC) × (1 mol SiO2 / 1 mol SiC) = 1.845 mol SiO2
Calculate the mass of SiO2:
The molar mass of SiO2 is 60 g/mol
Therefore,
Mass of SiO2 = (1.845 mol SiO2) × (60 g SiO2 / 1 mol SiO2) = 110.7 g SiO2
Mass of SiO2 = 110.7 g
Answer: 110.7 grams of SiO2 is required.
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