Step 1: Recall the Types of Isomerism in Coordination Complexes
- Linkage isomerism: Occurs when a ligand can bind to the central metal atom/ion through different atoms (e.g., \( NO_2^- \) via N or O).
- Ionization isomerism: Occurs when counter-ions exchange positions with ligands in the coordination sphere.
- Coordination isomerism: Involves the exchange of ligands between cationic and anionic coordination spheres.
- Solvate isomerism: Involves the exchange of solvent molecules inside and outside the coordination sphere.
Step 2: Analyze Each Complex
- A. \([Co(NH_3)_5(NO_2)]Cl_2\): Shows linkage isomerism as \( NO_2^- \) can bind via either N or O.
- B. \([Co(NH_3)_5(SO_4)]Br\): Shows ionization isomerism, as \( SO_4^{2-} \) and \( Br^- \) can exchange positions.
- C. \([Co(NH_3)_6][Cr(CN)_6]\): Shows coordination isomerism, as ligands can exchange between the Co and Cr coordination spheres.
- D. \([Co(H_2O)_6]Cl_3\): Shows solvate isomerism, as water molecules can exchange with the solvent.
Step 3: Match List I with List II
- A-II: Linkage isomerism.
- B-III: Ionization isomerism.
- C-IV: Coordination isomerism.
- D-I: Solvate isomerism.
Step 4: Conclusion
The correct match is:
A-II, B-III, C-IV, D-I.