Answer:
Compound X= (E)-1,2-dichloroethene
Compound Y= 1,1-dichloroethene
Compound Z= (Z)-1,2-dichloroethene
Explanation:
In this case we will have <u>3 isomers</u> which have the same formula. If we use the formula, the options we have are that the chlorides are attached to the <u>same carbon</u> (compound Y) or <u>different carbons</u> (Compounds X and Y).
Now, the problem gives a clue about compounds X and Y,<u> hydrogenation results in the same compound</u> (see figure) therefore the only difference between the compounds is the <u>orientation of the Cl groups</u>, therefore one of them it must be <u>"E"</u> and the other <u>"Z"</u> (this <u>nomenclature should be used for alkenes</u>, since the cis / trans nomenclature is used for <u>other types of molecules</u>), so the question is which is the cis isomer and which is the Isomer Z ?
The problem says that <u>compound X has no dipole moment</u>, therefore in compound X the Cl groups must have <u>opposite directions</u> such that the dipole moments of both <u>cancel each other out</u>. In conclusion, compound X is the <u>isomer E</u>, compound Y is the compound in which the Cl groups are on the<u> same carbon</u> and compound z is the <u>isomer Z.</u>