How many grams of
KClO3 must be decomposed to produce 91.7 g O
2
91.7 g O2?
Solution:
Calculate the moles of O2:
The molar mass of O2 is 32.0 g/mol
Hence,
Moles of O2 = (91.7 g O2) × (1 mol O2 / 32.0 g O2) = 2.8656 mol O2
Balanced chemical equation:
2KClO3 → 2KCl + 3O2
According to stoichiometry:
2 mol of KClO3 produces 3 mol of O2
X mol of KClO3 produces 2.8656 mol O2:
Thus,
Moles of KClO3 = X = ( 2.8656 mol O2) × (2 mol KClO3 / 3 mol O2) = 1.91 mol KClO3
Calculate the mass of KClO3:
The molar mass of KClO3 is 122.55 g/mol
Hence,
Mass of KClO3 = (1.91 mol KClO3) × (122.55 g KClO3 / 1 mol KClO3) = 234.07 g KClO3 = 234.1 g KClO3
Mass of KClO3 is 234.1 grams
Answer: 234.1 grams of KClO3 must be decomposed.
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