What is effective atomic number of cobalt in $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$ if…

What is effective atomic number of cobalt in $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right]^{3+}$ if $\operatorname{Co}(Z=27) ?$
  1. 30
  2. 3
  3. 27
  4. 36

Solution

The total number of electrons present with a central metal atom or ion in a coordination complex plus the electrons donated by the ligands is known as Effective Atomic Number (EAN). The formula to calculate the EAN is as follows. Effective atomic number $=\mathrm{Z}-\mathrm{O} . \mathrm{N}+2 \mathrm{C} . \mathrm{N}$ $\mathrm{Z}=$ Atomic number O.N= Oxidation number C. $\mathrm{N}=$ Coordination number $\begin{aligned} & {\left[\mathrm{C}_0\left(\mathrm{NH}_3\right)_6\right]^{3+} \quad \mathrm{C}_0^{3+}} \\ & \mathrm{Z}=27 . \mathrm{O} \cdot \mathrm{N} .=3 . \quad \text { C.N. }=6 \\ & \mathrm{EAN}=27-3+2 \times 6=36 \end{aligned}$

Asked in: MHT CET 2021 (21 Sep Shift 2)

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