In the given complexes, H2O acts as a weak field ligand for 3d series elements in +2 and +3 oxidation states (with the exception of Co3+ where it can act as a strong field ligand). Let's calculate the Crystal Field Stabilisation Energy (CFSE) for each:
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[Mn(H2O)6]3+ : Central metal is Mn3+ (3d4). As H2O is a weak field ligand, it forms a high-spin complex (t2g3eg1).
CFSE=(−0.4×3+0.6×1)Δo=−0.6Δo
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[Fe(H2O)6]3+ : Central metal is Fe3+ (3d5). As H2O is a weak field ligand, it forms a high-spin complex (t2g3eg2).
CFSE=(−0.4×3+0.6×2)Δo=(−1.2+1.2)Δo=0Δo
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[Co(H2O)6]2+ : Central metal is Co2+ (3d7). It forms a high-spin complex (t2g5eg2).
CFSE=(−0.4×5+0.6×2)Δo=−0.8Δo
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[Co(H2O)6]3+ : Central metal is Co3+ (3d6). With H2O it usually forms a low-spin complex (t2g6eg0) having CFSE=−2.4Δo. Even if considered high spin (t2g4eg2), CFSE=−0.4Δo.
Therefore, [Fe(H2O)6]3+ exhibits zero CFSE.