Step 1: Understanding the Concept
This question requires applying the rules of IUPAC nomenclature for naming coordination compounds.
Step 2: Detailed Explanation
Let's break down the naming process for the complex \([\text{Cr}(\text{H}_2\text{O})_3(\text{NH}_3)_3]\text{Cl}_3\).
1. Identify Ligands: The ligands inside the coordination sphere are H₂O and NH₃.
- H₂O as a ligand is named "aqua".
- NH₃ as a ligand is named "ammine" (note the double 'm').
2. Name Ligands Alphabetically: We list the ligands in alphabetical order, irrespective of their prefixes. "Ammine" comes before "aqua".
3. Use Prefixes for Number of Ligands: There are three ammine ligands, so we use the prefix "tri-", giving "triammine". There are three aqua ligands, so we use "triaqua".
Combining these gives: "triamminetriaqua".
4. Identify the Central Metal Atom: The central metal is Cr, which is Chromium. Since the complex ion is cationic (positively charged), the metal name is used as is: "chromium".
5. Determine the Oxidation State of the Metal: Let the oxidation state of Cr be \(x\).
The ligands H₂O and NH₃ are neutral (charge = 0).
The counter ion is chloride (Cl⁻), and there are three of them, so the total charge of the counter ions is -3.
For the compound to be neutral, the charge of the coordination sphere \([\text{Cr}(\text{H}_2\text{O})_3(\text{NH}_3)_3]\) must be +3.
Therefore: \(x + 3(0) + 3(0) = +3 \implies x = +3\).
The oxidation state is written in Roman numerals in parentheses: (III).
6. Name the Counter Ion: The counter ion is Cl⁻, which is named "chloride". We do not use prefixes like "tri-" for counter ions.
7. Assemble the Full Name: Putting it all together:
(Ligands alphabetically) + (Metal name) + (Oxidation state) + (Counter ion name)
Triamminetriaquachromium(III) chloride
Step 3: Final Answer
The correct IUPAC name is Triamminetriaquachromium(III) chloride.