Which of the following statement is/are incorrect?

Options

A. Solubility of AgCl is less in 0.5 M KCl solution than in pure water
B. Solubility of AgCl is more in 0.5 M `CaCl_(2)` than in pure water
C. Solubility of AgCl is more in IM `AgNO_(3)` than in pure water
D. Solubility of AgCl is more in `NH_(3)` than in pure water

Answer

To determine which statements about the solubility of AgCl are incorrect, we will analyze each statement based on the principles of ionic equilibrium and the common ion effect.

### Step-by-Step Solution:

1. **Understanding the Common Ion Effect**:
- The common ion effect states that the solubility of a salt decreases in a solution that already contains one of the ions present in the salt. For AgCl, the ions are Ag⁺ and Cl⁻.

2. **Analyzing the First Statement**:
- **Statement**: "The solubility of AgCl is less in 0.5 molar KCl solution than in pure water."
- **Analysis**: This statement is correct. The presence of Cl⁻ from KCl decreases the solubility of AgCl due to the common ion effect.

3. **Analyzing the Second Statement**:
- **Statement**: "The solubility of AgCl is more in 0.5 molar CsCl than in pure water."
- **Analysis**: This statement is incorrect. CsCl also provides Cl⁻ ions, which will decrease the solubility of AgCl due to the common ion effect.

4. **Analyzing the Third Statement**:
- **Statement**: "The solubility of AgCl is more in 1 molar AgNO3 than in pure water."
- **Analysis**: This statement is also incorrect. AgNO3 provides Ag⁺ ions, which will decrease the solubility of AgCl due to the common ion effect.

5. **Analyzing the Fourth Statement**:
- **Statement**: "The solubility of AgCl is more in NH3 than in pure water."
- **Analysis**: This statement is correct. NH3 can form a complex with Ag⁺ ions, which increases the solubility of AgCl by removing Ag⁺ from the solution, thus shifting the equilibrium to favor more dissolution of AgCl.

### Conclusion:
- The incorrect statements are the second and third statements.

### Summary of Incorrect Statements:
- **Incorrect Statements**:
- "The solubility of AgCl is more in 0.5 molar CsCl than in pure water."
- "The solubility of AgCl is more in 1 molar AgNO3 than in pure water."