The following compounds are heated (i) `AgNO_(3)` (ii) `Pb(NO_(3))_(2)` (iii) `LiNO_(3)` (iv) `NH_(4)NO_(3)` . Which of the following statement/s is/are correct ?

Options

A. (iv) liberates `N_(2)O`
B. (ii) and (iii) liberate `NO_(2)`
C. (i), (ii) and (iii) liberate `O_(2)`
D. All statements are correct

Answer

To determine which statements are correct regarding the decomposition of the given compounds upon heating, we will analyze each compound one by one.

### Step-by-Step Solution:

1. **Analyze Silver Nitrate (AgNO₃)**:
- When silver nitrate is heated, it decomposes into silver metal (Ag), nitrogen dioxide (NO₂), and oxygen (O₂).
- The balanced chemical equation for this reaction is:
\[ 2 \, \text{AgNO}_3 \, \rightarrow \, 2 \, \text{Ag} + 2 \, \text{NO}_2 + \text{O}_2 \]

2. **Analyze Lead Nitrate (Pb(NO₃)₂)**:
- Lead nitrate decomposes upon heating to form lead oxide (PbO), nitrogen dioxide (NO₂), and oxygen (O₂).
- The balanced chemical equation for this reaction is:
\[ 2 \, \text{Pb(NO}_3\text{)}_2 \, \rightarrow \, 2 \, \text{PbO} + 4 \, \text{NO}_2 + \text{O}_2 \]

3. **Analyze Lithium Nitrate (LiNO₃)**:
- Lithium nitrate also decomposes when heated to produce lithium oxide (Li₂O), nitrogen dioxide (NO₂), and oxygen (O₂).
- The balanced chemical equation for this reaction is:
\[ 4 \, \text{LiNO}_3 \, \rightarrow \, 2 \, \text{Li}_2\text{O} + 4 \, \text{NO}_2 + \text{O}_2 \]

4. **Analyze Ammonium Nitrate (NH₄NO₃)**:
- Ammonium nitrate decomposes upon heating to produce nitrous oxide (N₂O) and water (H₂O).
- The balanced chemical equation for this reaction is:
\[ 2 \, \text{NH}_4\text{NO}_3 \, \rightarrow \, 2 \, \text{N}_2\text{O} + 4 \, \text{H}_2\text{O} \]

### Summary of Findings:
- **Silver Nitrate**: Produces NO₂ and O₂.
- **Lead Nitrate**: Produces NO₂ and O₂.
- **Lithium Nitrate**: Produces NO₂ and O₂.
- **Ammonium Nitrate**: Produces N₂O and H₂O.

### Conclusion:
Based on the analysis:
- The first statement about ammonium nitrate liberating N₂O gas is correct.
- The second and third statements about lead nitrate and lithium nitrate liberating nitrogen dioxide gas are also correct.
- The fourth statement about silver nitrate, lead nitrate, and lithium nitrate liberating oxygen gas is also correct.

Thus, **all statements are correct**.

### Final Answer:
All statements are correct.

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