Which of the following will not produce a precipitate with `AgNO_3` solution?

Options

A. `F^-`
B. `Br^(-)`
C. `CO_3^(2-)`
D. `PO_4^(3-)`

Answer

To determine which of the following compounds will not produce a precipitate with AgNO3 solution, we need to analyze the solubility of the potential products formed when each compound reacts with silver nitrate (AgNO3).

### Step-by-Step Solution:

1. **Identify the Compounds**: The compounds given are fluoride, bromide, carbonate, and phosphate.

2. **Reactions with AgNO3**:
- **Fluoride (F⁻)**: When fluoride ions react with AgNO3, they form silver fluoride (AgF).
\[ \text{AgNO}_3 + \text{F}^- \rightarrow \text{AgF} + \text{NO}_3^- \]
Silver fluoride (AgF) is soluble in water, meaning it does not form a precipitate.

- **Bromide (Br⁻)**: When bromide ions react with AgNO3, they form silver bromide (AgBr).
\[ \text{AgNO}_3 + \text{Br}^- \rightarrow \text{AgBr} + \text{NO}_3^- \]
Silver bromide (AgBr) is insoluble in water and will form a precipitate.

- **Carbonate (CO₃²⁻)**: When carbonate ions react with AgNO3, they form silver carbonate (Ag2CO3).
\[ 2 \text{AgNO}_3 + \text{CO}_3^{2-} \rightarrow \text{Ag}_2\text{CO}_3 + 2 \text{NO}_3^- \]
Silver carbonate (Ag2CO3) is also insoluble in water and will form a precipitate.

- **Phosphate (PO₄³⁻)**: When phosphate ions react with AgNO3, they form silver phosphate (Ag3PO4).
\[ 3 \text{AgNO}_3 + \text{PO}_4^{3-} \rightarrow \text{Ag}_3\text{PO}_4 + 3 \text{NO}_3^- \]
Silver phosphate (Ag3PO4) is insoluble in water and will form a precipitate.

3. **Conclusion**: Among the compounds analyzed, only silver fluoride (AgF) does not form a precipitate when reacted with AgNO3 because it is soluble in water. The other compounds (AgBr, Ag2CO3, and Ag3PO4) all form precipitates.

### Final Answer:
The compound that will not produce a precipitate with AgNO3 solution is **Fluoride (F⁻)**.