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The electronic spectrum of ${[Ti {(H_{2} O)}_{6}]}^{+ 3}$ shows a single broad peak with a maximum at $20, 300 {cm}^{- 1}$ . The crystal field stabilization energy of the complex ion in kJ/mol is? $(1 kJ / mol = 83 .7 {cm}^{- 1})$

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83.7

242.7

145.5

answer is C.

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Detailed Solution

${Ti}^{+ 3} = [Ar] 3 d^{1}$

$C . F . S . E = [- 0 .4 \times 1] Δ_{0} = - 0 .4 Δ_{0} = - 0 .4 \times 20, 300 = - 8, 120 {cm}^{- 1}$

$1 kJ / mol \overset{}{\to} 83 .7 {cm}^{- 1}$
$? \overset{}{\to} 8, 120 {cm}^{- 1}$
$= \frac{8, 120}{83 .7} = 97 kJ / mol$

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