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JEE MainChemistryCoordination Compounds

Consider the three complexes of Mn³⁺ : [Mn(H₂O)₆]³⁺ , [Mn(C₂O₄)₃]³⁻ , and [Mn(CN)₆]³⁻ . Let X be the complex that absorbs light of the shortest wavelength. If x is the number of unpaired electrons in X , and y is the number of electrons in the t_ 2g orbitals of the central metal ion in X , find the value of 2x + y .

Correct answer

8

Step-by-step solution

The wavelength of absorbed light is inversely proportional to the crystal field splitting energy ( ₀ ). The complex that absorbs light of the shortest wavelength must have the highest ₀ , which corresponds to the strongest ligand. From the spectrochemical series, the strength of the given ligands is in the order: CN^- > H₂O > C₂O₄²⁻ . Thus, the complex absorbing the shortest wavelength ( X ) is [Mn(CN)₆]³⁻ . The central metal ion is Mn³⁺ , which has a 3d^4 electronic configuration. Since CN^- is a strong field liga

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