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QJEEAdv24Chcbd8: JEE Advanced 2024 Chemistry - Class 12 JEEAdv24Chcbd8 Solution: Among the following complexes, the total number of diamagnetic…

Among the following complexes, the total number of diamagnetic species is ___________.

[Mn(NH3)6]3+,[MnCl6]3−,[FeF6]3−,[CoF6]3−,[Fe(NH3)6]3+\left[\mathrm{Mn}\left(\mathrm{NH}_3\right)_6\right]^{3+},\left[\mathrm{MnCl}_6\right]^{3-},\left[\mathrm{FeF}_6\right]^{3-},\left[\mathrm{CoF}_6\right]^{3-},\left[\mathrm{Fe}\left(\mathrm{NH}_3\right)_6\right]^{3+} , and [Co(en)3]3+\left[\mathrm{Co}(\mathrm{en})_3\right]^{3+}

[Given, atomic number: Mn=25,Fe=26,Co=27\mathrm{Mn}=25, \mathrm{Fe}=26, \mathrm{Co}=27 ;

 en =H2NCH2CH2NH2]\text { en } \left.=\mathrm{H}_2 \mathrm{NCH}_2 \mathrm{CH}_2 \mathrm{NH}_2\right]

Step-by-Step Verified Solution

Mn3+⇒[Ar]3 d4\mathrm{Mn}^{3+} \Rightarrow[\mathrm{Ar}] 3 \mathrm{~d}^4

d4\mathrm{d}^4 configuration in t2 g\mathrm{t}_{2 \mathrm{~g}} and eg\mathrm{e}_{\mathrm{g}} orbitals will always have unpaired electrons irrespective of SFL and WFL.

Fe3+⇒[Ar]3 d5\mathrm{Fe}^{3+} \Rightarrow[\mathrm{Ar}] 3 \mathrm{~d}^5

d5\mathrm{d}^5 configuration will also have unpaired electron irrespective of SFL and WFL.

Co3+⇒[Ar]3 d6\mathrm{Co}^{3+} \Rightarrow[\mathrm{Ar}] 3 \mathrm{~d}^6

d6⇒\mathrm{d}^6 \Rightarrow it can be both paramagnetic or diamagnetic based on field of ligands.

In case of F−⇒\mathrm{F}^{-} \Rightarrow weak field ligand, configuration will be t2 g4eg2\mathrm{t}_{2 \mathrm{~g}}^4 \mathrm{e}_{\mathrm{g}}^2 hence it is paramagnetic but in case of en⇒\mathrm{en} \Rightarrow strong filed ligand, configuration will be t2 g6eg0\mathrm{t}_{2 \mathrm{~g}}^6 \mathrm{e}_{\mathrm{g}}^0 hence it will be diamagnetic.

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