Silver chloride is soluble in methylamine due to the formation of :

Options

A. `[Ag(CH_(3)NH_(2))_(4)]Cl`
B. `[Ag(CH_(3)NH_(2))_(2)]Cl`
C. `[Ag(CH_(3)NH_(2))_(3)]Cl`
D. `[Ag(CH_(3)NH_(2))]Cl`

Answer

To solve the question "Silver chloride is soluble in methylamine due to the formation of:", we will analyze the interaction between silver chloride (AgCl) and methylamine (CH3NH2) step by step.

### Step-by-Step Solution:

1. **Understanding the Components**:
- Silver chloride (AgCl) is an ionic compound that is generally insoluble in water.
- Methylamine (CH3NH2) is a simple amine that can act as a ligand, which means it can donate a pair of electrons to form a coordinate bond with metal ions.

**Hint**: Identify the nature of the compounds involved—ionic vs. covalent.

2. **Formation of Coordination Complex**:
- When methylamine is added to a solution containing silver chloride, the methylamine can coordinate with the silver ion (Ag+).
- The reaction can be represented as:
\[ \text{AgCl} + 2 \text{CH}_3\text{NH}_2 \rightarrow \text{Ag(CH}_3\text{NH}_2)_2^+ + \text{Cl}^- \]
- In this reaction, two molecules of methylamine coordinate with the silver ion, forming a soluble complex.

**Hint**: Look for the formation of a complex ion and how it changes solubility.

3. **Resulting Solubility**:
- The formation of the complex ion \(\text{Ag(CH}_3\text{NH}_2)_2^+\) allows the previously insoluble silver chloride to dissolve in the solution. The chloride ion (Cl-) is released into the solution, which does not affect the solubility of the complex.

**Hint**: Consider how the formation of a complex ion affects the solubility of the original ionic compound.

4. **Conclusion**:
- Therefore, the solubility of silver chloride in methylamine is due to the formation of the soluble coordination complex \(\text{Ag(CH}_3\text{NH}_2)_2^+\).

**Hint**: Summarize the key points: the role of the ligand, the formation of the complex, and the impact on solubility.

### Final Answer:
Silver chloride is soluble in methylamine due to the formation of the soluble coordination complex \(\text{Ag(CH}_3\text{NH}_2)_2^+\).