Consider the following three cobalt complexes: Complex A: [ CoCl ₄]²⁻ Complex B: [ Co ( H ₂ O )₆]³⁺ Complex C: [ CoF ₆]³⁻ Let x be the number of electrons in the t₂ orbitals of complex A. Let y be the number of electrons in the t_ 2g orbitals of complex B. Let z be the number of electrons in the e_g orbitals of complex C. The value of (x + y + z) is

Step-by-step solution

Complex A: [ CoCl ₄]²⁻ Co ²⁺ (d^7) . It is a tetrahedral complex. The splitting is e (lower) and t₂ (higher). The configuration is e^4 t₂^3 . Thus, x = 3 . Complex B: [ Co ( H ₂ O )₆]³⁺ Co ³⁺ (d^6) . For Co ³⁺ , H ₂ O acts as a strong field ligand, forming a low spin octahedral complex. The configuration is t_ 2g ^6 e_g^0 . Thus, y = 6 . Complex C: [ CoF ₆]³⁻ Co ³⁺ (d^6) . F ^- is a weak field ligand, forming a high spin octahedral complex. The configuration is t_ 2g ^4 e_g^2 . Thus, z = 2 . The sum (x + y + z) = 3