Why are cis and trans isomers not possible for ClCH2CH2Cl?

Because it is a single bonded compound and cis-trans isomerism is only possible when fre rotation about a bond is restricted or a double bond or cycle is essential for existence of cis-trans isomers.

Sounds pretty good to me.

To determine if cis-trans isomerism is possible for a molecule, we need to examine the molecular structure and the nature of the bonds present.

In the case of ClCH2CH2Cl, we have a molecule with two chlorine atoms attached to the central carbon atom, and each chlorine and carbon atom is connected by single bonds. This means that the molecule does not have any double bonds or rigid bond rotations that could lead to restricted rotation about the carbon-carbon bond.

Cis-trans isomerism occurs when there is a difference in the spatial arrangement of substituents around a double bond or a cyclic compound. The presence of a double bond or cyclic structure introduces restrictions on bond rotation, resulting in different stereoisomer configurations.

However, in ClCH2CH2Cl, there is no double bond present and the molecule is not cyclic. Therefore, there are no limitations on bond rotation and the substituents attached to the central carbon atom can freely rotate around the carbon-carbon bond. As a result, it is not possible to have cis-trans isomers for ClCH2CH2Cl.

So, the absence of a double bond or a cyclic structure in ClCH2CH2Cl prevents the occurrence of cis-trans isomerism.