Step 1: Understanding the Concept:
Naming coordination compounds: Ligands in alphabetical order, metal name, oxidation state in Roman numerals, then counter ion.
Step 2: Detailed Explanation:
Complex ion: \([Co(en)_3]^{3+}\).
- Ligand: en = ethane-1,2-diamine (neutral, bidentate).
- Three ligands → tris(ethane-1,2-diamine).
- Metal: cobalt. Oxidation state: en is neutral, SO\(_4^{2-}\) charge = -3 overall. Let Co = x, then 2x + 3(-2) = 0 ⇒ 2x = 6 ⇒ x = +3.
- Counter ion: sulphate.
Name: tris(ethane-1,2-diamine)cobalt(III) sulphate.
Step 3: Final Answer:
The correct IUPAC name is tris(ethane-1,2-diamine)cobalt(III) sulphate.