J.R. S. answered 03/28/22
Ph.D. University Professor with 10+ years Tutoring Experience
moles C = 9.018 g CO2 x 1 mol CO2 / 44 g x 1 mol C / mol CO2 = 0.205 moles C
moles H = 3.692 g H2O x 1 mol H2O/18 g x 2 mol H / mol H2O = 0.410 moles H
To find moles of O, we need to subtract mass of C and H from 3.967 g to get grams O and then convert to moles of O.
0.205 mols C x 12 g / mol = 2.46 g C
0.410 mols H x 1 g / mol = 0.410 g H
g O = 3.967 g - 2.46 g - 0.410 g = 1.097 g O
moles O = 1.097 g O x 1 mol / 16 g = 0.0686 mols O
To get whole numbers of moles, we divide all the moles by 0.0686 to get...
moles C = 0.205 / 0.0686 = 3
moles H = 0.410 / 0.0686 = 6
moles O = 0.0686 / 0.0686 = 1
Empirical formula = C3H6O
molar mass of C3H6O = 55 g / mol
116.2 g / mol ÷ 55 g / mol = 2
Molecular formula = C6H12O2