A chiral carbon is a carbon atom that is attached to four different groups. This gives rise to chirality, which results in non-superimposable mirror images, or enantiomers. A molecule with a chiral carbon is asymmetric and does not have symmetry.
- Option (A) is incorrect because a chiral carbon cannot be attached to two identical groups, as this would create a plane of symmetry, making the carbon achiral.
- Option (C) is incorrect because chiral carbons can exist in molecules with symmetry, as long as they are attached to four different groups.
- Option (D) is incorrect because a chiral carbon is not always part of an alkene; it can be part of many other types of molecules as well.
Therefore, the correct answer is option (B).