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Coordination Compounds

Question
CBSEENCH12011402

[Cr(H2O)6]Cl3 (at. no. of Cr = 24) has a magnetic moment of 3.83 BM, the correct distribution of 3d electrons in the chromium of the complex is:

  • 3 straight d subscript straight x squared minus straight y squared end subscript superscript 1 comma space 3 straight d subscript straight z squared end subscript superscript 1 comma space 3 straight d subscript xz superscript 1
  • 3 straight d subscript xy superscript 1 comma space 3 straight d subscript x squared minus y squared end subscript superscript 1 comma space 3 straight d subscript yz superscript 1
  • 3 straight d subscript xy superscript 1 comma space 3 straight d subscript zy superscript 1 comma space 3 straight d subscript zx superscript 1
  • 3 straight d subscript xy superscript 1 comma space 3 straight d subscript yz superscript 1 comma space 3 straight d subscript straight z squared end subscript superscript 1

Solution

C.

3 straight d subscript xy superscript 1 comma space 3 straight d subscript zy superscript 1 comma space 3 straight d subscript zx superscript 1

Magnetic moment,
straight mu space equals space square root of straight n left parenthesis straight n plus 2 right parenthesis end root space BM
3.83 space equals space square root of straight n space left parenthesis straight n plus 2 right parenthesis end root
3.83 space straight x space 3.83 space equals space straight n squared space plus 2 straight n
14.6689 space equals space straight n squared space plus 2 straight n
On space solving space this comma space we space get space straight n space equals 3
Hence, a number of unpaired electrons in d- subshell of the penultimate shell of chromium (Cr = 24).
so, the configuration of chromium ion is 
Cr3+ = 1s2, 2s2, 2p6, 3s2, 3p6 3d3
In [Cr(H2O)6]Cl2 oxidation state of Cr is +3
Hence in 3d3 the distribution of electrons
3 straight d subscript xy superscript 1 comma space 3 straight d subscript yz superscript 1 comma space 3 straight d subscript zx superscript 1 comma space 3 straight d subscript straight x squared minus straight y squared end subscript superscript 0 comma space 3 straight d subscript straight z squared end subscript superscript 0