Let us deduce the formula from the given IUPAC name 'chlorodiaquatriamminecobalt(III) chloride':
- Central metal: Cobalt (Co) in +3 oxidation state.
- Ligands in the coordination sphere (alphabetical order in name):
- 'chloro' indicates one Cl− ligand.
- 'diaqua' indicates two H2O ligands.
- 'triammine' indicates three NH3 ligands.
So, the coordination entity is [CoCl(NH3)3(H2O)2].
- Charge on the coordination sphere: x=(+3)+(−1)+2(0)+3(0)=+2.
- Counter ion: 'chloride' indicates Cl− outside the coordination sphere.
- To balance the +2 charge of the complex cation, two chloride ions are required outside the bracket.
Therefore, the complete formula is [CoCl(NH3)3(H2O)2]Cl2.