Number of complexes from the following with even number of unpaired electrons is

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Solution

Q.
Number of complexes from the following with even number of unpaired $'' d''$ electrons is __________ .

${[{V(H}_{2} {O)}_{6}]}^{3 +}, {[{Cr(H}_{2} {O)}_{6}]}^{2 +}, {[{Fe(H}_{2} {O)}_{6}]}^{3 +}, {[{Ni(H}_{2} {O)}_{6}]}^{3 +}, {[{Cu(H}_{2} {O)}_{6}]}^{2 +}$

[Given atomic numbers: V = 23, Cr = 24, Fe = 26, Ni = 28, Cu = 29] [2024]

1 2

2 4

3 1

4 5

Ans.
(1)

Complex Electronic
configuration of
central metal ion
without crystal
field splitting Electronic
configuration of
central metal ion
after crystal field
splitting Number of
unpaired d
electrons in
complex

${[{V(H}_{2} {O)}_{6}]}^{3 +}$ $V^{3 +} = {}_{18}{[Ar]} 3 d^{2}$ $t_{2 g}^{1, 1, 0}, e_{g}^{0, 0}$ 2

${[{Cr(H}_{2} {O)}_{6}]}^{2 +}$ ${Cr}^{2 +} = {}_{18}{[Ar]} 3 d^{4}$ $t_{2 g}^{1, 1, 1}, e_{g}^{1, 0}$ 4

${[{Fe(H}_{2} {O)}_{6}]}^{3 +}$ ${Fe}^{3 +} = {}_{18}{[Ar]} 3 d^{5}$ $t_{2 g}^{1, 1, 1}, e_{g}^{1, 1}$ 5

${[{Ni(H}_{2} {O)}_{6}]}^{3 +}$ ${Ni}^{3 +} = {}_{18}{[Ar]} 3 d^{7}$ $t_{2 g}^{2, 2, 1}, e_{g}^{1, 1}$ 3

${[{Cu(H}_{2} {O)}_{6}]}^{2 +}$ ${Cu}^{2 +} = {}_{18}{[Ar]} 3 d^{9}$ $t_{2 g}^{2, 2, 2}, e_{g}^{2, 1}$ 1

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