The spin-only magnetic moment value of an octahedral complex among $\mathrm{CoCl}_{3}\cdot 4\mathrm{NH}_{3}$, $\mathrm{NiCl}_{2}\cdot 6\mathrm{H}_{2}\mathrm{O}$ and $\mathrm{PtCl}_{4}\cdot 2\mathrm{HCl}$, which upon reaction with excess of $\mathrm{AgNO}_{3}$ gives 2 moles of AgCl is ______ B.M. (Nearest Integer)

JEE Main · 2022 · 26 Jun 2022 · Shift 1 · Coordination Compounds

The spin-only magnetic moment value of an octahedral complex among

CoCl_{3} \cdot 4 NH_{3}

NiCl_{2} \cdot 6 H_{2} O

and

PtCl_{4} \cdot 2 HCl

, which upon reaction with excess of

AgNO_{3}

gives 2 moles of AgCl is ______ B.M. (Nearest Integer)

Answer: 3

Solution

First, identify the complex that gives 2 moles of AgCl with excess

AgNO_{3}

. The three complexes are:

[Co (NH_{3})_{4} Cl_{2}] Cl

(gives 1 AgCl),

[Ni (H_{2} O)_{6}] Cl_{2}

(gives 2 AgCl), and

H_{2} [PtCl_{6}]

(gives 0 AgCl). The complex is

[Ni (H_{2} O)_{6}]^{2 +}

, which is octahedral.

Ni^{2 +}

has configuration

3 d^{8}

with 2 unpaired electrons in an octahedral field. Using

μ = n (n + 2) = 2 (4) = 2.83

B.M.

\approx

3 B.M.

JEE Main · 2022 · 26 Jun 2022 · Shift 1 · Integer answer

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