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Among\[[Ni{{(CO)}_{4}}],{{[NiC{{l}_{4}}]}^{2-}},[Co{{(N{{H}_{3}})}_{4}}C{{l}_{2}}]Cl,N{{a}_{3}}[Co{{F}_{6}}],N{{a}_{2}}{{O}_{2}}\] and $Cs{{O}_{2}}$ the total number of paramagnetic compound is:
A.$2$
B.$3$
C.$4$
D.$5$

Answer
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Hint:We know that using the crystal field theory and identifying the unpaired electrons present in the compound the compound can be classified as paramagnetic or diamagnetic. When an electron in an atom or ion is unpaired, it makes the entire atom or ion paramagnetic whereas the compounds that contain no unpaired electrons are known as diamagnetic. The magnetic properties of a compound can be determined from its electron configuration and the size of its atoms.

Complete step-by-step answer:For the given compounds the unpaired electrons are calculated via electronic configuration of the central metal ion. In the compound $[Ni{{(CO)}_{4}}]$ Electronic configuration is $3{{d}^{10}}s{{p}^{3}}$ which has no unpaired electron making it diamagnetic.
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In the compound ${{[Ni{{(Cl)}_{4}}]}^{2-}}$ electronic configuration is $3{{d}^{8}}s{{p}^{3}}$ .there is loss of two electron due to $-2$ charge on $Ni$ . Due to presence of unpaired electrons it is paramagnetic in nature.
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In another compound $[Co{{(N{{H}_{3}})}_{4}}C{{l}_{2}}]$ the electronic configuration is \[3{{d}^{6}},{{d}^{2}}s{{p}^{3}}\] which again has no unpaired electrons making it diamagnetic in nature.
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In compound $N{{a}_{3}}[Co{{F}_{6}}]$ the electronic configuration is \[3{{d}^{6}},s{{p}^{3}}{{d}^{2}}\] giving it $4$ unpaired electrons giving it paramagnetic property.
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Similarly in $N{{a}_{2}}{{O}_{2}}$ the ${{O}_{2}}^{2-}$ unpaired electron is zero making it diamagnetic in nature. Lastly in the compound $Cs{{O}_{2}}$ the ${{O}_{2}}^{2-}$ the unpaired electron is one making it paramagnetic in nature. Therefore total paramagnetic compounds in given statement are: ${{[Ni{{(Cl)}_{4}}]}^{2-}}$,$N{{a}_{3}}[Co{{F}_{6}}]$, $Cs{{O}_{2}}$.

Therefore there are three paramagnetic compounds. The correct option is option (B).

Note: Note that if the compound is paramagnetic, it will be pulled visibly towards the electromagnet, which is the distance proportional to the magnitude of the compound is paramagnetic. If the compound, however, is diamagnetic, it will not be pulled towards the electromagnet, instead, it might even slightly be repelled by it. The change is directly proportional to the amount of unpaired electrons in the compound.