J.R. S. answered 04/24/18
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Ph.D. in Biochemistry--University Professor--Chemistry Tutor
This is a problem using the Law of Definite Proportions = Law of Definite Composition = Proust's Law. This states that a given chemical compound (such as C3H3Cl5) always contains its elements in a fixed and definite ratio by mass.
Look at the total mass of one mole:
3C = 3x12 g = 36 g
3H = 3x1 g = 3 g
5Cl = 5x35.5 g = 178 g
NOTE that the mass ratio of H to C is 3g : 36g or mass of H is 1/12 the mass of C
1/12 x 66 g = 5.5 g of H would be present.