J.R. S. answered 03/19/21
Ph.D. University Professor with 10+ years Tutoring Experience
If we assume we have 100 g of the unknown, then %'s become grams and we then find moles of each element to determine the empirical formual.
38.7 g C x 1 mol C/12 g = 3.225 moles C
9.7 g H x 1 mol H/1 g = 9.7 mol H
51.6 g O x 1 mol O/16 g = 3.225 moles O
Divide all by 3.225 to get whole numbers and we end up with...
1 mol C
3 mol H
1 mol O
Empirical formula = CH3O
To find the molecular formula, we find how many of these empirical formulae "fit into" the given molar mass of 62.0 g/mol. The molar mass of the empirical formula is 12 + 3 + 16 = 31 g/mol. So, it will take TWO of these to make 62.0 g/mol. Thus, the molecular formula is C2H6O2