Cation analysis categorizes ions by their reactions with specific reagents:
- A. \(Co^{2+}\) (Cobalt): Classified as Group-III in cation analysis. Therefore, A-III.
- B. \(Mg^{2+}\) (Magnesium): Placed in Group-II because it does not precipitate with most reagents for Group-I and Group-III cations. Therefore, B-II.
- C. \(Pb^{2+}\) (Lead): Typically found in Group-IV of cation analysis, forming precipitates with group-specific reagents. Therefore, C-IV.
- D. \(Al^{3+}\) (Aluminum): Assigned to Group-I, analyzed in this group due to its distinct reactivity. Therefore, D-I.
The correct correspondence is (2) A-III, B-II, C-IV, D-I.