Answer: The chemical formula for this complex is
or
![[Cd(bipy)_2]Cl_2](https://img.qammunity.org/2019/formulas/chemistry/high-school/s92wkpp7394k8fw769ofj2o2fshglxrv1k.png)
Step-by-step explanation:
2,2'-Bypridine is a bidentate chelating ligand which forms complex with many transition metals. Its chemical formula is

Bidentate ligands are the ligands which donate two pairs of electrons to the metal atom.
This complex contains two spheres: Primary sphere and secondary sphere
Primary sphere is the sphere which satisfies the primary valency of the metal and the coordination sphere satisfies the secondary valency of the metal known as secondary sphere.
Chlorine is satisfying the primary valency of the metal and bipyridyl is satisfying the secondary valency of the metal.
The chemical formula for this complex is
or
and its structure is given in the image attached.