J.R. S. answered 05/16/22
Ph.D. University Professor with 10+ years Tutoring Experience
Since the unknown is a hydrocarbon, we know it contains only C and H. So we will find the moles of each and then determine the empirical formula.
moles C: 11.0 g CO2 x 1 mol CO2/44 g x 1 mol C / mol CO2 = 0.25 mols C
moles H: 5.27 g H2O x 1 mol H2O / 18 g x 2 mol H / mol H2O = 0.586 mols H
To get whole numbers, let's divide both by 0.25
0.25 / 0.25 = 1 mol C
0.586 / 0.25 = 2.3 mol H
Now we can multiply both by 3 to get all whole numbers of moles
1 x 3 = 3 mols C
2.3 x 3 = 7 mols H
Empirical formula = C3H7