Given below are two statements : Statement I : Crystal Field Stabilization Energy (CFSE) of [Cr(H2O)6]2+ is greater than that of [Mn(H2O)6]2+. Statement II : Potassium ferricyanide has a greater spin-only magnetic moment than sodium ferrocyanide.
Given below are two statements :

Statement I : Crystal Field Stabilization Energy (CFSE) of [Cr(H2O)6]2+ is greater than that of [Mn(H2O)6]2+.

Statement II : Potassium ferricyanide has a greater spin-only magnetic moment than sodium ferrocyanide.

In the light of the above statements, choose the correct answer from the options given below :
A. Statement I is true but Statement II is false
B. Both Statement I and Statement II are true
C. Both Statement I and Statement II are false
D. Statement I is false but Statement II is true
Correct Answer: B

Explanation

Statement I :

In both complexes, H2O is a weak field ligand, so octahedral complexes formed are high spin.

For [Cr(H2O)6]2+ :

Cr²⁺ → 3d⁴ configuration

High spin octahedral → t2g3 eg1

CFSE = (−0.4 × 3 + 0.6 × 1)Δ0

= (−1.2 + 0.6)Δ0

= −0.6Δ0


For [Mn(H2O)6]2+ :

Mn²⁺ → 3d⁵ configuration

High spin octahedral → t2g3 eg2

CFSE = (−0.4 × 3 + 0.6 × 2)Δ0

= (−1.2 + 1.2)Δ0

= 0

Thus, CFSE of Cr²⁺ complex is greater than Mn²⁺ complex.

Statement I is true.


Statement II :

Potassium ferricyanide → K₃[Fe(CN)₆]

Fe³⁺ → 3d⁵

CN⁻ is strong field ligand → low spin configuration

t2g5 eg0

Unpaired electrons = 1


Sodium ferrocyanide → Na₄[Fe(CN)₆]

Fe²⁺ → 3d⁶

Low spin configuration → t2g6 eg0

Unpaired electrons = 0

Spin-only magnetic moment depends on number of unpaired electrons.

Ferricyanide (1 unpaired electron) has greater magnetic moment than ferrocyanide (0 unpaired electrons).

Statement II is true.

Therefore, both Statement I and Statement II are true.

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