Final answer:
The compound 1,2-dibromo-1,2-dichloroethane is not chiral because it does not possess any stereocenters and is symmetrical, therefore answer choice B is correct.
Step-by-step explanation:
Is 1,2-dibromo-1,2-dichloroethane chiral? The correct answer is B. No, it is not chiral because it has no stereocenter. A chiral molecule must have at least one chiral center, which implies that each of its four substituents are different. In the case of 1,2-dibromo-1,2-dichloroethane, each carbon atom has two identical substituents (a bromine and a chlorine), making it achiral.
Furthermore, the molecule is symmetrical, which means it can be divided into two mirror-image halves. Therefore, 1,2-dibromo-1,2-dichloroethane does not have the property of chirality because it lacks stereocenters and has mirror symmetry.