An isomerr of the complex `CoBrCl_(2)(en)_(2)(H_(2)O)`, on reaction with concentrated `H_(2)SO_(4)` (dehydrating agent), suffers no loss in weight and on reaction with `AgNO_(3)` solution it gives only white precipitate, which is soluble in `NH_(3)` solution.
Q. The incorrect statement about complex is:

Options

A. It can show geometrical isomerism
B. cis isomer is optically active
C. Trans isomer is optically active
D. it can exhibit solvate isomerism

Explanation

To solve the question regarding the complex `CoBrCl₂(en)₂(H₂O)`, we need to analyze the information given and determine the incorrect statement about the complex. Let's break it down step by step.

### Step 1: Understand the Complex
The complex in question is `CoBrCl₂(en)₂(H₂O)`. Here, `Co` is cobalt, `Br` is bromine, `Cl` is chlorine, `en` is ethylenediamine (a bidentate ligand), and `H₂O` is water.

### Step 2: Analyze the Reaction with Concentrated `H₂SO₄`
The complex reacts with concentrated sulfuric acid (H₂SO₄), which is a dehydrating agent. The problem states that there is no loss in weight during this reaction. This indicates that the water molecule (H₂O) must be coordinated to the cobalt ion, meaning it is part of the coordination sphere. If it were outside, we would expect a loss in weight due to the removal of water.

### Step 3: Analyze the Reaction with `AgNO₃`
When the complex reacts with silver nitrate (AgNO₃), it produces a white precipitate that is soluble in ammonia (NH₃). The white precipitate here is likely silver chloride (AgCl), which forms when chloride ions (Cl⁻) are present. For AgCl to precipitate, the chloride must be outside the coordination sphere.

### Step 4: Determine the Isomerism
Given that the chloride ion is outside the coordination sphere and the water molecule is inside, this indicates that the complex exhibits ionization isomerism. The isomer where Cl is outside and H₂O is inside would be an ionization isomer of the original complex.

### Step 5: Identify Incorrect Statements
Now, we need to evaluate potential statements about the complex to find the incorrect one. Based on our analysis:
1. The complex has water inside the coordination sphere.
2. The complex forms a white precipitate with AgNO₃, indicating chloride is outside the coordination sphere.
3. The complex exhibits ionization isomerism due to the exchange of ligands between the coordination sphere and outside.

### Conclusion
The incorrect statement about the complex would likely be one that contradicts our findings about the positions of the ligands or the nature of the isomerism.