Step 1: EAN Formula
$EAN = Z - ON + 2(CN)$.
Step 2: Identify Values
- Atomic number (Z) of Cobalt = 27.
- Oxidation Number (ON) of Co in $[Co(NH_3)_6]^{3+}$ = +3.
- Coordination Number (CN) = 6 (six monodentate $NH_3$ ligands).
Step 3: Calculation
$EAN = 27 - 3 + 2(6)$
$EAN = 24 + 12 = 36$.
Step 4: Conclusion
EAN is 36, which corresponds to the noble gas Krypton.
Final Answer:(A)