On adding `AgNO_(3)` solution to a solution of `[Pt(NH_(3))_(3)Cl_(3)]Cl`, the percentage of total chloride ion precipitated is

Options

A. 100
B. 75
C. 50
D. 25

Answer

To solve the problem of determining the percentage of total chloride ions precipitated when AgNO₃ is added to a solution of [Pt(NH₃)₃Cl₃]Cl, we can follow these steps:

### Step 1: Understand the Coordination Compound
The given coordination compound is [Pt(NH₃)₃Cl₃]Cl. This means that the platinum (Pt) is coordinated with three ammonia (NH₃) ligands and three chloride (Cl) ligands, and there is one additional chloride ion outside the coordination sphere.

### Step 2: Identify the Chloride Ions
In the compound [Pt(NH₃)₃Cl₃]Cl:
- There are three chloride ions (Cl) that are part of the coordination sphere.
- There is one chloride ion that is outside the coordination sphere.

### Step 3: Total Chloride Ions
Now, we can calculate the total number of chloride ions in the solution:
- Total chloride ions = 3 (from the coordination sphere) + 1 (outside the coordination sphere) = 4 chloride ions.

### Step 4: Determine the Precipitation of Chloride Ions
When AgNO₃ is added to the solution, it reacts with the chloride ions to form a precipitate of AgCl. However, only the chloride ions that are outside the coordination sphere will participate in this reaction.

### Step 5: Calculate the Percentage of Chloride Ions Precipitated
The percentage of total chloride ions that are precipitated can be calculated as follows:
- Precipitated chloride ions = 1 (the one outside the coordination sphere)
- Total chloride ions = 4

The formula for percentage is:
\[ \text{Percentage of precipitated chloride ions} = \left( \frac{\text{Precipitated chloride ions}}{\text{Total chloride ions}} \right) \times 100 \]

Substituting the values:
\[ \text{Percentage of precipitated chloride ions} = \left( \frac{1}{4} \right) \times 100 = 25\% \]

### Step 6: Conclusion
Thus, the percentage of total chloride ions precipitated when AgNO₃ is added to the solution is 25%.

The correct answer is option D.

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