Step 1: Understanding the Question:
Effective atomic number (EAN) = atomic number of metal – oxidation state + 2 × number of ligands (for neutral ligands like NH\(_3\)).
Step 2: Key Formula or Approach:
EAN = Z – (oxidation state) + 2 × (number of monodentate ligands). For NH\(_3\) (neutral), each donates 2 electrons.
Step 3: Detailed Explanation:
Co Z = 27. In \([Co(NH_3)_6]^{3+}\), oxidation state of Co = +3 (since NH\(_3\) neutral, overall +3).
Electrons from metal after oxidation: 27 – 3 = 24.
Six NH\(_3\) ligands donate 6 × 2 = 12 electrons.
Total = 24 + 12 = 36.
Step 4: Final Answer:
EAN = 36, option (D).