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Calculate the magnetic moment of a dival...

Calculate the magnetic moment of a divalent ion in aqueous solution if its atomic number is 25.

A

`5.92 mu_(B)`

B

`3.87 mu_(B)`

C

`4.90 mu_(B)`

D

`2.84 mu_(B)`

Text Solution

Verified by Experts

The correct Answer is:
A
Configuration of element with atomic number 25 in the atomic state is `3d^(5) 4s^(2)` . Thus, its divalent ion in aqueous solution will have `d^(5)` configuration, providing 5 unpaired electrons. The correct correlation between the number of unpaired electrons (n) and the magnetic moment `(mu_(s))` due to electron spin only is
`mu_(s) = sqrt(n(n+2))` BM
Thus, for 5 unpaired electrons, we have
`mu_(s) = sqrt(5(5+2))` BM `= sqrt(35)` BM `= 5.92` BM
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