Answer :
Answer:
1.35mol
Explanation:
To determine the number of moles of oxygen in the original compound, we can follow these steps:
Calculate the moles of carbon and hydrogen in the compound.
Calculate the moles of oxygen that are part of the compound.
Step 1: Calculate the Moles of Carbon and Hydrogen
From CO₂:
Given:
Mass of CO₂ produced = 89.3 g
Molar mass of CO₂ (C: 12.01 g/mol, O₂: 2 * 16.00 g/mol = 32.00 g/mol) = 44.01 g/mol
Moles of CO₂=Mass of CO₂/Molar mass of CO₂= 89.3g/44.01 g/mol=2.029mol
Since each mole of CO₂ contains 1 mole of carbon, the moles of carbon in the original compound are:
Moles of C=2.029mol
From H₂O:
Given:
Mass of H₂O produced = 36.6 g
Molar mass of H₂O (H: 2 * 1.01 g/mol = 2.02 g/mol, O: 16.00 g/mol) = 18.02 g/mol
Moles of H₂O=Mass of H₂O/Molar mass of H₂O=36.6g/18.02g/mol=2.03
mol
Since each mole of H₂O contains 2 moles of hydrogen, the moles of hydrogen in the original compound are:
Moles of H =2×2.03mol=4.06mol
Step 2: Calculate the Mass of Carbon and Hydrogen in the Compound
Mass of Carbon:
Mass of C=Moles of C×Molar mass of C=2.029mol×12.01g/mol=24.36g
Mass of Hydrogen:
Mass of H=Moles of H×Molar mass of H=4.06mol×1.01g/mol=4.10g
Step 3: Calculate the Mass of Oxygen in the Compound
Given:
Total mass of the compound = 50.1 g
Mass of oxygen in the compound = 21.6 g (given)
Step 4: Calculate the Moles of Oxygen in the Compound
Moles of O=Mass of O/Molar mass of O=21.6g/16.00g/mol=1.35 mol
So, the number of moles of oxygen in the original compound is 1.35mol