Question

A magnetic moment of $$1.73\,BM$$   will be shown by one among the following

A. $${\left[ {Cu{{\left( {N{H_3}} \right)}_4}} \right]^{2 + }}$$  
B. $${\left[ {Ni{{\left( {CN} \right)}_4}} \right]^{2 - }}$$
C. $$TiC{l_4}$$
D. $${\left[ {CoC{l_6}} \right]^{4 - }}$$
Answer :   $${\left[ {Cu{{\left( {N{H_3}} \right)}_4}} \right]^{2 + }}$$
Solution :
Magnetic moment, $$\mu $$  is related with number of unpaired electrons as
$$\eqalign{ & \mu = \sqrt {n\left( {n + 2} \right)} \,BM \cr & {\left( {1.73} \right)^2} = n\left( {n + 2} \right) \cr} $$
On solving $$n=1$$
Thus, the complex/compound having one unpaired electron exhibit a magnetic moment of $$1.73\,BM.$$
$$\eqalign{ & \left( {\text{A}} \right){\text{In}}{\left[ {Cu{{\left( {N{H_3}} \right)}_4}} \right]^{2 + }} \cr & C{u^{2 + }} = \left[ {Ar} \right]3{d^9} \cr} $$
Co-ordination Compounds mcq solution image
( Although in the presence of strong field ligand $$N{H_3},$$  the unpaired electron gets excited to higher energy level but it still remains unpaired ).
$$\eqalign{ & \left( {\text{B}} \right){\text{In}}{\left[ {Ni{{\left( {CN} \right)}_4}} \right]^{2 - }} \cr & N{i^{2 + }} = \left[ {Ar} \right]3{d^8} \cr} $$
Co-ordination Compounds mcq solution image
But $$C{N^ - }$$  being strong field ligand pair up the unpaired electrons and hence in this complex, number of unpaired electrons = 0.
$$\eqalign{ & \left( {\text{C}} \right){\text{In}}\left[ {TiC{l_4}} \right] \cr & T{i^{4 + }} = \left[ {Ar} \right] \cr} $$
no unpaired electron.
$$\eqalign{ & \left( {\text{D}} \right){\text{In}}{\left[ {CoC{l_6}} \right]^{4 - }} \cr & C{o^{2 + }} = \left[ {Ar} \right]3{d^7} \cr} $$
Co-ordination Compounds mcq solution image
It contains three unpaired electrons.
Thus, $${\left[ {Cu{{\left( {N{H_3}} \right)}_4}} \right]^{2 + }}$$   is the complex that exhibits a magnetic moment $$1.73\,BM.$$

Releted MCQ Question on
Inorganic Chemistry >> Co - ordination Compounds

Releted Question 1

Amongst $$Ni{\left( {CO} \right)_4},{\left[ {Ni{{\left( {CN} \right)}_4}} \right]^{2 - }}{\text{and}}\,NiCl_4^{2 - }$$

A. $$Ni{\left( {CO} \right)_4}\,{\text{and}}\,NiCl_4^{2 - }$$     are diamagnetic and $${\left[ {Ni{{\left( {CN} \right)}_4}} \right]^{2 - }}$$   is paramagnetic
B. $$NiCl_4^{2 - }\,{\text{and}}\,{\left[ {Ni{{\left( {CN} \right)}_4}} \right]^{2 - }}$$     are diamagnetic and $$Ni{\left( {CO} \right)_4}$$   is paramagnetic
C. $$Ni{\left( {CO} \right)_4}\,{\text{and}}\,{\left[ {Ni{{\left( {CN} \right)}_4}} \right]^{2 - }}$$     are diamagnetic and $$NiCl_4^{2 - }$$  is paramagnetic
D. $$Ni{\left( {CO} \right)_4}$$  is diamagnetic and $$NiCl_4^{2 - }\,{\text{and}}\,{\left[ {Ni{{\left( {CN} \right)}_4}} \right]^{2 - }}$$     are paramagnetic
Releted Question 2

The geometry of $$Ni{\left( {CO} \right)_4}\,{\text{and}}\,Ni{\left( {PP{h_3}} \right)_2}C{l_2}\,{\text{are}}$$

A. both square planar
B. tetrahedral and square planar, respectively
C. both tetrahedral
D. square planar and tetrahedral, respectively
Releted Question 3

The complex ion which has no $$'d'$$ electron in the central metal atom is

A. $${\left[ {Mn{O_4}} \right]^ - }$$
B. $${\left[ {Co{{\left( {N{H_3}} \right)}_6}} \right]^{3 + }}$$
C. $${\left[ {Fe{{\left( {CN} \right)}_6}} \right]^{3 - }}$$
D. $${\left[ {Cr{{\left( {{H_2}O} \right)}_6}} \right]^{3 + }}$$
Releted Question 4

In the process of extraction of gold,
Roasted gold ore $$ + C{N^ - } + {H_2}O\mathop \to \limits^{{O_2}} \left[ X \right] + O{H^ - }$$
$$\left[ X \right] + Zn \to \left[ Y \right] + Au$$
Identify the complexes $$\left[ X \right]\,\,{\text{and}}\,\,\left[ Y \right]$$

A. $$X = {\left[ {Au{{\left( {CN} \right)}_2}} \right]^ - },Y = {\left[ {Zn{{\left( {CN} \right)}_4}} \right]^{2 - }}$$
B. $$X = {\left[ {Au{{\left( {CN} \right)}_4}} \right]^{3 - }},Y = {\left[ {Zn{{\left( {CN} \right)}_4}} \right]^{2 - }}$$
C. $$X = {\left[ {Au{{\left( {CN} \right)}_2}} \right]^ - },Y = {\left[ {Zn{{\left( {CN} \right)}_6}} \right]^{4 - }}$$
D. $$X = {\left[ {Au{{\left( {CN} \right)}_4}} \right]^ - },Y = {\left[ {Zn{{\left( {CN} \right)}_4}} \right]^{2 - }}$$

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Co - ordination Compounds


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