The electronic spectrum of $\left[\mathrm{Ti}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{3+}$ shows a single broad peak with a maximum at $20,300 \mathrm{~cm}^{-1}$. The crystal field stabilization energy (CFSE) of the complex ion, in kJ $\mathrm{mol}^{-1}$, is: $\left(1 \mathrm{~kJ} \mathrm{~mol}^{-1}=83.7 \mathrm{~cm}^{-1}\right)$

JEE Main · 2020 · 03 Sep 2020 · Shift 1 · Coordination Compounds

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 (CFSE) of the complex ion, in kJ

mol^{- 1}

, is:

(1 kJ mol^{- 1} = 83.7 cm^{- 1})

(A)242.5
(B)97✓ Correct
(C)83.7
(D)145.5

Answer: (B)

Solution

The ion

T i^{3 +}

3 d^{1}

, and in the octahedral field of the aqua complex that single electron sits in a

t_{2 g}

orbital, lowered by

0.4 Δ_{0}

. With the absorption maximum giving

Δ_{0} = 20300

^{- 1}

, the crystal field stabilisation energy is

0.4 \times 20300 = 8120

^{- 1}

in magnitude. Converting with

1

kJ mol

^{- 1} = 83.7

^{- 1}

, this is

\frac{8120}{83.7} \approx 97

kJ mol

^{- 1}

JEE Main · 2020 · 03 Sep 2020 · Shift 1 · Single correct option

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