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Question #44287

Difficulty: 8/10 | 🟢 Free

The Question

Consider the hexaaqua complexes [Fe(H2O)6]3+[Fe(H_2O)_6]^{3+} and [Co(H2O)6]3+[Co(H_2O)_6]^{3+} at 298 K. The ionic radius of the central metal undergoes an anomalously large contraction from Fe3+Fe^{3+} to Co3+Co^{3+}. Let xx be the number of unpaired electrons in [Co(H2O)6]3+[Co(H_2O)_6]^{3+}, yy be the magnitude of its Crystal Field Stabilization Energy (CFSE) in terms of Δo\Delta_o (ignoring pairing energy), and zz be the change in the number of ege_g electrons (Δneg=neg(Co)−neg(Fe)\Delta n_{e_g} = n_{e_g}(Co) - n_{e_g}(Fe)). Determine the value of ∣x+y+z∣|x + y + z|.

Options

  • A.

    0.4

  • B.

    4.4

  • C.

    2.4

  • D.

    1.8

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Correct Answer

Step-by-Step Solution

Explanation

How the Examiner Thinks

Exception_Exposure

Learn to identify edge cases and boundary exceptions that JEE examiners hide in math problems.

Concepts Behind This Question

Atomic vs Ionic Radii|Complex Ion Oxidation States|Color and d-d Transitions

Why This Question Is Tricky

Common Mistakes

This question tests the student's ability to recognize a critical exception in Coordination Chemistry: while H2OH_2O is generally a weak field ligand (as seen with Fe3+Fe^{3+}), the increased effective nuclear charge and oxidation state of Co3+Co^{3+} increase the crystal field splitting energy (Δo\Delta_o) such that Δo>P\Delta_o > P.

This forces [Co(H2O)6]3+[Co(H_2O)_6]^{3+} into a low-spin t2g6eg0t_{2g}^6 e_g^0 configuration.

Students who blindly apply the spectrochemical series will assume a high-spin t2g4eg2t_{2g}^4 e_g^2 configuration, leading to incorrect values for unpaired electrons (x=4x=4), CFSE magnitude (y=0.4y=0.4), and ege_g occupancy change (z=0z=0), trapping them with the distractor 4.4.

Furthermore, it connects this electronic anomaly directly to the physical phenomenon of ionic radius contraction.

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterClassification of Elements and Periodicity in Properties - Class 11 Part 1
ConceptAtomic vs Ionic Radii
Difficulty8
Cognitive Load7
Target Solve Time160 sec
AccessFree