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Chemical Bonding And Molecular Structure

Question
CBSEENCH11008248

Magnetic moment 2.83 BM is given by which of the following ions?

(At. no.: Ti =22; Cr=24; Mn=25; Ni=28)

  • Ti3+

  • Ni2+

  • Cr3+

  • Mn2+

Solution

B.

Ni2+

Magnetic moment is given by
straight mu space equals space square root of straight n left parenthesis straight n plus 2 right parenthesis end root
Here comma space straight n equals space number space of space unpaired space electrons
rightwards double arrow space 2.83 space equals space square root of straight n left parenthesis straight n plus 2 right parenthesis end root
rightwards double arrow space left parenthesis 2.83 right parenthesis squared space equals space straight n left parenthesis straight n plus 2 right parenthesis
0 equals space 8.00 space plus straight n squared space plus 2 straight n
straight n squared plus 2 straight n minus 8 space equals 0
left parenthesis straight n plus 4 right parenthesis left parenthesis straight n minus 2 right parenthesis space equals 0 space
straight n equals 2 space space straight n equals negative 4

minus 4 space not space be space consider

among space the space given space ions colon

Hence,Ni2+ possesses a magnetic moment of 2.83 B.M