Structure using Proton NMR Spectrum

[GoldDelight]

Homework Statement

Draw the skeletal structure of the compound with molecular formulaC3H4Cl4 whose proton NMR spectrum contains a down-field triplet and an up-field triplet with relative integration of 2:2.
2. Rationale for Solution
Integration ratio of 2:2 means CH₂-CH₂, after this one carbon and 4 Cl left. One carbon must have 3 Cl and the last chlorine must be attached to one of the CH₂ to complete C octet

The Attempt at a Solution

My solution for this is Cl₃C-CH₂-CH₂-Cl but it is being marked wrong. I don't know why.

 

[chemisttree]

Since there are only two groups of triplets, the molecule must be symmetrical. Otherwise, there would be two triplets for the Cl₃ substituted and the Cl substituted carbons. In your case, the central methylene would have a complex splitting... something like a triplet split in two, right? And the protons attached to the chlorinated positions would integrate to 1:3 as well, yes?

 

[GoldDelight]

Well, it turned out to be Cl₂-CH-CH₂-CH-Cl₂. It was trickier than what I thought. But I have to say the my first solution also produces same spectrum and, in my mind based on the information given, there is no way to decide between the two.