Which of the following halides react(s) with `AgNO_(3)(aq)` to give a precipitate that dissolves in `Na_(2)S_(2)O_(3)(aq)`

Options

A. `HCl`
B. `HF`
C. `HBr`
D. `Hl`

Explanation

To solve the question of which halides react with AgNO₃(aq) to give a precipitate that dissolves in Na₂S₂O₃(aq), we can follow these steps:

### Step 1: Identify the Halides
The halides given are:
- HCl (Hydrochloric acid)
- HF (Hydrofluoric acid)
- HBr (Hydrobromic acid)
- HI (Hydriodic acid)

### Step 2: React Each Halide with AgNO₃
We need to determine which of these halides will react with silver nitrate (AgNO₃) to form a precipitate.

1. **HCl + AgNO₃** → AgCl (s) + HNO₃
- AgCl is a white precipitate.

2. **HF + AgNO₃** → No precipitate
- HF is soluble in water and does not form a precipitate with AgNO₃.

3. **HBr + AgNO₃** → AgBr (s) + HNO₃
- AgBr is a pale yellow precipitate.

4. **HI + AgNO₃** → AgI (s) + HNO₃
- AgI is a yellow precipitate.

### Step 3: Identify the Precipitates
From the reactions above, we find:
- HCl forms AgCl (precipitate)
- HBr forms AgBr (precipitate)
- HI forms AgI (precipitate)
- HF does not form a precipitate.

### Step 4: Check Solubility of Precipitates in Na₂S₂O₃
Now, we need to check which of these precipitates dissolve in sodium thiosulfate (Na₂S₂O₃):

1. **AgCl + Na₂S₂O₃** → Na₃[Ag(S₂O₃)₂] + NaCl
- AgCl dissolves in Na₂S₂O₃.

2. **AgBr + Na₂S₂O₃** → Na₃[Ag(S₂O₃)₂] + NaBr
- AgBr dissolves in Na₂S₂O₃.

3. **AgI + Na₂S₂O₃** → No reaction
- AgI does not dissolve in Na₂S₂O₃.

### Conclusion
The halides that react with AgNO₃ to give a precipitate that dissolves in Na₂S₂O₃ are:
- HCl (forms AgCl)
- HBr (forms AgBr)

Thus, the answer is **HCl and HBr**.