Jon P. answered 05/05/15
Tutor
5.0
(173)
Knowledgeable Math, Science, SAT, ACT tutor - Harvard honors grad
The first thing you want to do is find the ratios of the number of atoms of each element. To do that, divide each mass percentage by the atomic mass of the element:
H: 5.57% ÷ 1.01 = 5.51
Cl: 28.01% ÷ 35.45 = 0.79
C: 66.42% ÷ 12.01 = 5.53
H and C are almost the same, so their ratio is 1:1. 5.53 / .79 = 7, so the ratio of C and H to Cl is 7:1
So we can start with a formula of C7H7Cl
Now find the total molecular mass of C7H7Cl:
H: 1.01 * 7 = 7.07
Cl: 35.35 * 1 = 35.45
C: 12.01 * 7 = 84.07
TOTAL: 126.59
The total is almost exactly the same as the molecular mass of the substance, so the formula C7H7Cl is correct.