J.R. S. answered 06/09/20
Ph.D. University Professor with 10+ years Tutoring Experience
To find the empirical formula, we want to find the number of moles of each element, and then report them as whole numbers.
If we assume we have 100 g of the polymer, then % becomes grams.
30.1 g C x 1 mol C/12.01 g = 2.506 moles C
3.2 g H x 1 mol H/1.01 g = 3.168 moles H
66.7 g Cl x 1 mol Cl/35.45 g = 1.88 moles Cl
We can divide all by 1.88 to try to get whole numbers of moles:
2.506/1.88 = 1.33 mol C
3.168/1.88 = 1.69 mol H
1.88/1.88 = 1.0 mol Cl
Still not whole numbers, so let us multiply all by 3 to obtain...
1.33 x 3 = 3.99 mol C = 4 moles C
1.69 x 3 = 5.07 mol H = 5 moles H
1.0 x 3 = 3.0 moles Cl
Empirical formula = C4H5Cl3