An aqueous solution containing `S^(2-)` ions will not give:

Options

A. Yellow precipitate with the suspension off `CdCO_(3)` in water
B. Black precipitate with lead acetate solution
C. White precipitate with `BaCl_(2)` solution
D. Purple colour with sodium thiosulphate solution

Answer

To solve the question regarding the behavior of an aqueous solution containing `S^(2-)` ions, we will analyze each of the provided options step by step.

### Step 1: Analyze the first option - Yellow precipitate with the suspension of CdCO3
- When `S^(2-)` ions react with Cadmium Carbonate (CdCO3), a yellow precipitate of Cadmium Sulfide (CdS) is formed.
- Reaction:
\[ \text{CdCO}_3 + \text{S}^{2-} \rightarrow \text{CdS (s)} + \text{CO}_2 + \text{H}_2\text{O} \]
- Conclusion: This option will give a yellow precipitate.

**Hint:** Look for the formation of precipitates when sulfide ions react with metal salts.

### Step 2: Analyze the second option - Black precipitate with lead acetate solution
- When `S^(2-)` ions react with Lead Acetate (Pb(CH3COO)2), a black precipitate of Lead Sulfide (PbS) is formed.
- Reaction:
\[ \text{Pb(CH}_3\text{COO)}_2 + \text{S}^{2-} \rightarrow \text{PbS (s)} + 2\text{CH}_3\text{COOH} \]
- Conclusion: This option will give a black precipitate.

**Hint:** Identify the color of precipitates formed with common metal sulfides.

### Step 3: Analyze the third option - White precipitate with BaCl2 solution
- When `S^(2-)` ions react with Barium Chloride (BaCl2), Barium Sulfide (BaS) is formed, which is soluble in water.
- Reaction:
\[ \text{BaCl}_2 + \text{S}^{2-} \rightarrow \text{BaS (aq)} + 2\text{Cl}^- \]
- Conclusion: This option will not give a white precipitate as BaS is soluble in water.

**Hint:** Check the solubility of the sulfides formed with alkaline earth metals.

### Step 4: Analyze the fourth option - Purple color with sodium thiosulfate solution
- Sodium thiosulfate (Na2S2O3) does not produce a purple color with `S^(2-)` ions. Instead, it can form a complex with certain metal ions, but not with sulfide ions.
- Conclusion: This option will not give a purple color.

**Hint:** Understand the reactions of thiosulfate ions with different ions and the colors of the resulting complexes.

### Final Conclusion
From the analysis:
- The options that will not give a reaction with `S^(2-)` ions are:
- **C. White precipitate with BaCl2 solution** (as BaS is soluble)
- **D. Purple color with sodium thiosulfate solution** (no reaction occurs)

Thus, the correct answer is **C and D**.