Final answer:
The IUPAC name for [CrCl₂(H₂O)₄] is tetraaquadi(chlorido)chromium(III), following the IUPAC rules for naming coordination compounds.
Step-by-step explanation:
The IUPAC naming system is a set of standardized rules to name chemical compounds systematically. One such rule is for naming coordination compounds, like [CrCl₂(H₂O)₄]. This is a complex where chromium is the central metal ion coordinated by two chloride anions and four water molecules. According to the IUPAC rules, ligands are named first, in alphabetical order, followed by the metal cation. When naming water as a ligand, we use the term 'aqua,' and for chloride, we use 'chlorido.' Also, the oxidation state of the central metal ion must be included in the name.
The proper IUPAC name for [CrCl₂(H₂O)₄] would be tetraaquadi(chlorido)chromium(III), where 'tetraaqua' represents the four water molecules, 'di(chlorido)' indicates the two chloride ions, and 'chromium(III)' signifies the central metal, chromium, with an oxidation state of +3. The oxidation state is determined based on the known charges of the ligands and the overall neutrality of the complex.