Final answer:
The false statement about constitutional isomers is that they have the same connectivity of atoms, as they actually have different connectivities but the same molecular formula.
Step-by-step explanation:
The statement about constitutional isomers that is not true is B) Constitutional isomers have the same connectivity of atoms. Constitutional isomers, which are also known as structural isomers, indeed have the same molecular formula but differ in the connectivity of atoms.
They can have different physical and chemical properties due to the varied connectivity, which leads to differences in the arrangement of the atoms or functional groups within the molecule. Examples include skeletal isomers, functional group isomers, and positional isomers.
It is worth noting that constitutional isomers are not the same as stereoisomers, which include geometric and enantiomers, as those involve different arrangements in three-dimensional space without altering connectivity.