The magnetic property, dipole moment, plane of symmetry, colour and absorption band cann be helpful in structure elucidation of complex compounds:
Q. Compound 'x' has molecular formula `CrCl_(2)Br*6H_(2)O` can show type of isomerism.
(i) hydrate isomerism
(ii) ionization isomerism
(iii) geometrical isomerism
(iv) optical isomerism

Options

A. (i), (ii) and (iii) only
B. (i) and (ii) only
C. (i), (ii), (iii) and (iv)
D. (i) and (iii) only

Answer

To determine the types of isomerism that the compound \( \text{CrCl}_2\text{Br} \cdot 6\text{H}_2\text{O} \) can exhibit, we will analyze the possible isomers based on the given molecular formula.

### Step-by-Step Solution:

1. **Identify the Coordination Number**:
- The chromium ion (Cr) has a coordination number of 6, which is typical for octahedral complexes. This means that there will be 6 ligands surrounding the chromium ion.

**Hint**: Remember that the coordination number is the number of ligand donor atoms bonded to the central metal ion.

2. **Check for Hydrate Isomerism**:
- Hydrate isomerism occurs when there are different arrangements of water molecules in the complex. In this case, some water molecules can be coordinated (inside the coordination sphere) while others can be present as free water (outside the coordination sphere).
- For example, we can have one isomer with 4 water molecules coordinated and 2 outside, and another with 3 coordinated and 3 outside.

**Hint**: Consider how water can be arranged inside and outside the coordination sphere to form different isomers.

3. **Check for Ionization Isomerism**:
- Ionization isomerism occurs when the composition of the ions in solution changes. In this case, we can have isomers where one of the chloride ions is outside the coordination sphere, leading to different ions in solution.
- For instance, one isomer could release \( \text{Cl}^- \) ions while another could release \( \text{Br}^- \) ions.

**Hint**: Think about how the ligands can be rearranged to produce different ions when the complex dissociates in solution.

4. **Check for Geometrical Isomerism**:
- Geometrical isomerism is possible in octahedral complexes with two or more different ligands. In this case, the two chloride ions and one bromide can be arranged in different ways.
- For example, we can have a cis isomer where the two chlorides are adjacent to each other, and a trans isomer where they are opposite each other.

**Hint**: Visualize the octahedral geometry and consider how the ligands can be positioned relative to each other.

5. **Check for Optical Isomerism**:
- Optical isomerism occurs when a compound can exist in two non-superimposable mirror images (enantiomers). For this to happen, the complex must be chiral.
- In this case, since all ligands are monodentate and the arrangement does not lead to chirality (the presence of a plane of symmetry), optical isomerism is not possible.

**Hint**: Determine if there is any arrangement that could lead to non-superimposable mirror images.

### Conclusion:
Based on the analysis, the compound \( \text{CrCl}_2\text{Br} \cdot 6\text{H}_2\text{O} \) can exhibit:
- (i) Hydrate isomerism
- (ii) Ionization isomerism
- (iii) Geometrical isomerism
- (iv) Optical isomerism is not possible.

Thus, the answer is (i), (ii), and (iii) are possible types of isomerism.

### Final Answer:
The compound can show hydrate isomerism, ionization isomerism, and geometrical isomerism. Optical isomerism is not possible.