The complex \( [\text{Co(en)}_2\text{Cl}_2]^+ \) involves a coordination compound with cobalt(III) at the center, where \( \text{en} \) is ethylenediamine, a bidentate ligand, and \( \text{Cl}^- \) is a monodentate ligand. Since ethylenediamine is bidentate, it can form chelate rings, and the position of the chloride ions relative to the chelate rings gives rise to stereoisomers.
The number of stereoisomers can be determined based on the possible geometric arrangements of the chloride ions and the ethylenediamine ligands. For a complex like \( [\text{Co(en)}_2\text{Cl}_2]^+ \), there are two possible isomers:
Cis-isomer : Both chloride ions are adjacent to each other.
Trans-isomer : Chloride ions are opposite each other. Additionally, since the two ethylenediamine ligands can occupy two positions (cis and trans), this leads to three stereoisomers in total.
Thus, the complex exhibits 3 stereoisomers.
The correct option is (A) : 3
(b.)Calculate the potential for half-cell containing 0.01 M K\(_2\)Cr\(_2\)O\(_7\)(aq), 0.01 M Cr\(^{3+}\)(aq), and 1.0 x 10\(^{-4}\) M H\(^+\)(aq).