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Question 44

Match List-I with List-II.

List-I ComplexList-II Crystal Field splitting energy ($$\Delta_o$$)
A.$$[Ti(H_2O)_6]^{2+}$$I.-1.2
B.$$[V(H_2O)_6]^{2+}$$II.-0.6
C.$$[Mn(H_2O)_6]^{3+}$$III.0
D.$$[Fe(H_2O)_6]^{3+}$$IV.-0.8


Choose the correct answer from the options given below:

The formula for CFSE in an octahedral field is:

$$CFSE=[(-0.4\times nt_2g)+(0.6\times neg)]Δ_o$$
  • A. $$[Ti(H_2O)_6]^{2+}$$
    • Titanium oxidation state: Ti2+ (3d2 configuration)
    • Electron distribution: t2g2 eg0
    • $$\text{CFSE} = [2 \times (-0.4) + 0 \times 0.6]\Delta_o = \mathbf{-0.8\Delta_o}$$
    A matches with IV

  • B. $$[V(H_2O)_6]^{2+}$$
    • Vanadium oxidation state: V2+ (3d3 configuration)
    • Electron distribution: t2g3 eg0
    •$$\text{CFSE} = [3 \times (-0.4) + 0 \times 0.6]\Delta_o = \mathbf{-1.2\Delta_o}$$
  • B matches with I

  • C. $$[Mn(H_2O)_6]^{3+}$$
    • Manganese oxidation state: Mn3+ (3d4 high-spin configuration)
    • Electron distribution: t2g3 eg1
    • $$\text{CFSE} = [3 \times (-0.4) + 1 \times 0.6]\Delta_o = [-1.2 + 0.6]\Delta_o = \mathbf{-0.6\Delta_o}$$
    C matches with II

  • D. $$[Fe(H_{2}O)_{6}]^{3+}$$
    • Iron oxidation state: Fe3+ (3d5 high-spin configuration)
    • Electron distribution: t2g3 eg2
    • $$\text{CFSE} = [3 \times (-0.4) + 2 \times 0.6]\Delta_o = [-1.2 + 1.2]\Delta_o = \mathbf{0\Delta_o}$$
    D matches with III

Summary Mapping:

List-I (Complex) List-II (Δo Value)
A IV (-0.8)
B I (-1.2)
C II (-0.6)
D III (0)

Conclusion:

The correct option order is A-IV, B-I, C-II, D-III.

Correct Option: C

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