To solve this question, we need to determine which anion, when combined with BaCl2, forms a white precipitate that releases a gas with a characteristic odour when dissolved in dilute HCl. Let's analyze each given option:
- Evidences and Reactions:
- BaCl2 is known to form a white precipitate with certain anions such as sulfates and sulfites.
- When the white precipitate dissolves in dilute HCl and produces a gas with a characteristic odour, it indicates the release of a specific gas.
- Anion Analysis:
- \(SO^{2-}_3\) (Sulfite ion):
- Reaction: \(BaCl_2 + SO^{2-}_3 \rightarrow BaSO_3 (s) + 2Cl^-\)
- The white precipitate is BaSO3 (barium sulfite).
- Upon adding dilute HCl: \( BaSO_3 + 2HCl \rightarrow BaCl_2 + SO_2 (g) + H_2O\)
- SO2 gas is released, which has a characteristic sharp, pungent odour.
- I– (Iodide ion):
- Iodides generally do not form precipitates with BaCl2.
- No reaction occurs that would form a white precipitate or release a gas with an odour.
- S2– (Sulfide ion):
- Sulfides can precipitate but do not release a gas with a characteristic odour upon treatment with dilute HCl.
- Instead, they typically form hydrogen sulfide gas (H2S), which can be recognised by a rotten egg smell.
- NO-2 (Nitrite ion):
- Barium nitrite does not form a white precipitate with BaCl2.
- Therefore, it does not match the conditions described in the question.
- Conclusion: Based on the analysis, the only anion that fits all conditions—forms a white precipitate with BaCl2 and releases a characteristic smelling gas (SO2) when treated with dilute HCl—is the sulfite ion, \(SO^{2-}_3\).
Hence, the correct answer is: \(SO^{2-}_3\).