Step 1: Review Isomerism Types in Coordination Complexes
- Linkage Isomerism: A ligand can attach to the central metal atom/ion via different atoms (e.g., \( NO_2^- \) through N or O).
- Ionization Isomerism: Counter-ions can swap places with ligands within the coordination sphere.
- Coordination Isomerism: Involves ligand exchange between separate cationic and anionic coordination spheres.
- Solvate Isomerism: Solvent molecules can interchange between being inside and outside the coordination sphere.
Step 2: Analyze Each Complex
- A. \([Co(NH_3)_5(NO_2)]Cl_2\): Exhibits linkage isomerism due to the dual binding capability of \( NO_2^- \) (N or O).
- B. \([Co(NH_3)_5(SO_4)]Br\): Demonstrates ionization isomerism via potential exchange between \( SO_4^{2-} \) and \( Br^- \).
- C. \([Co(NH_3)_6][Cr(CN)_6]\): Displays coordination isomerism through ligand migration 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 pairings are:
A-II, B-III, C-IV, D-I.