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NEET CHEMISTRYCoordination CompoundsMedium

Question

Among the following complexes, the one which shows zero crystal field stabilisation energy (CFSE) is:

A

[Mn(H2O)6]3+[Mn(H_2O)_6]^{3+}

B

[Fe(H2O)6]3+[Fe(H_2O)_6]^{3+}

C

[Co(H2O)6]2+[Co(H_2O)_6]^{2+}

D

[Co(H2O)6]3+[Co(H_2O)_6]^{3+}

Step-by-Step Solution

In the given complexes, H2OH_2O acts as a weak field ligand for 3d3d series elements in +2 and +3 oxidation states (with the exception of Co3+Co^{3+} where it can act as a strong field ligand). Let's calculate the Crystal Field Stabilisation Energy (CFSE) for each:

  1. [Mn(H2O)6]3+[Mn(H_2O)_6]^{3+} : Central metal is Mn3+Mn^{3+} (3d43d^4). As H2OH_2O is a weak field ligand, it forms a high-spin complex (t2g3eg1t_{2g}^3 e_g^1). CFSE=(0.4×3+0.6×1)Δo=0.6ΔoCFSE = (-0.4 \times 3 + 0.6 \times 1)\Delta_o = -0.6\Delta_o

  2. [Fe(H2O)6]3+[Fe(H_2O)_6]^{3+} : Central metal is Fe3+Fe^{3+} (3d53d^5). As H2OH_2O is a weak field ligand, it forms a high-spin complex (t2g3eg2t_{2g}^3 e_g^2). CFSE=(0.4×3+0.6×2)Δo=(1.2+1.2)Δo=0ΔoCFSE = (-0.4 \times 3 + 0.6 \times 2)\Delta_o = (-1.2 + 1.2)\Delta_o = 0\Delta_o

  3. [Co(H2O)6]2+[Co(H_2O)_6]^{2+} : Central metal is Co2+Co^{2+} (3d73d^7). It forms a high-spin complex (t2g5eg2t_{2g}^5 e_g^2). CFSE=(0.4×5+0.6×2)Δo=0.8ΔoCFSE = (-0.4 \times 5 + 0.6 \times 2)\Delta_o = -0.8\Delta_o

  4. [Co(H2O)6]3+[Co(H_2O)_6]^{3+} : Central metal is Co3+Co^{3+} (3d63d^6). With H2OH_2O it usually forms a low-spin complex (t2g6eg0t_{2g}^6 e_g^0) having CFSE=2.4ΔoCFSE = -2.4\Delta_o. Even if considered high spin (t2g4eg2t_{2g}^4 e_g^2), CFSE=0.4ΔoCFSE = -0.4\Delta_o.

Therefore, [Fe(H2O)6]3+[Fe(H_2O)_6]^{3+} exhibits zero CFSE.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Coordination Compounds. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYCoordination Compoundsfollowingcomplexescrystalstabilisationenergy

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