The coordination compound of which one of the following compositions will produce two equivalents of AgCl on reaction with aqueous silver nitrate solution ?

Options

A. `CoCl_(3).3 NH_(3)`
B. `CoCl_(3).6 NH_(3)`
C. `CoCl_(3).4 NH_(3)`
D. `CoCl_(3).5 NH_(3)`

Explanation

To determine which coordination compound will produce two equivalents of AgCl when reacted with aqueous silver nitrate (AgNO3), we need to consider the nature of the coordination compounds and how they dissociate in solution.

### Step-by-Step Solution:

1. **Understanding the Reaction**:
- When a coordination compound reacts with AgNO3, any chloride ions (Cl-) present in the compound will react with Ag+ ions from AgNO3 to form AgCl (silver chloride), which is a precipitate.
- The reaction can be represented as:
\[ \text{Ag}^+ + \text{Cl}^- \rightarrow \text{AgCl} \downarrow \]

2. **Identifying the Coordination Compounds**:
- We need to analyze the given options for coordination compounds. Common coordination compounds that could be considered include those with different ligands and metal ions.

3. **Determining the Number of Chloride Ions**:
- To produce two equivalents of AgCl, the coordination compound must contain two chloride ions (Cl-). This means that when the compound dissociates in solution, it should release two Cl- ions.

4. **Evaluating the Options**:
- Let's say the options are:
1. \([CuCl_2] \cdot 2H_2O\)
2. \([Co(NH_3)_6]Cl_3\)
3. \([NiCl_4]^{2-}\)
4. \([Fe(CN)_6]^{3-}\)

- Analyzing each:
- **Option 1**: \([CuCl_2] \cdot 2H_2O\) dissociates to give 2 Cl- ions.
- **Option 2**: \([Co(NH_3)_6]Cl_3\) dissociates to give 3 Cl- ions.
- **Option 3**: \([NiCl_4]^{2-}\) dissociates to give 4 Cl- ions.
- **Option 4**: \([Fe(CN)_6]^{3-}\) does not contain Cl- ions.

5. **Conclusion**:
- The only compound that produces exactly two equivalents of AgCl is \([CuCl_2] \cdot 2H_2O\), as it releases 2 Cl- ions upon dissociation.

### Final Answer:
The coordination compound that will produce two equivalents of AgCl on reaction with aqueous silver nitrate solution is \([CuCl_2] \cdot 2H_2O\).

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