A complex compound of chromium chromium contains five `NH_(3)` molecules, one nitro group and two chloride ions for one `Cr^(3+)` cation. One molecule of this compound produces three ions in aq. Solution, on reacting with excess of `AgNO_(3)` solution, two moles of `AgCl` get precipitated
Q. The types of isomerism shown by the complex compound is:

Options

A. geometrical, ionization
B. ionization, linkage
C. linkage, optical
D. geometrical, optical

Answer

To solve the problem, we need to analyze the complex compound of chromium described in the question. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the Composition of the Complex
The complex contains:
- 1 Chromium ion (Cr³⁺)
- 5 Ammonia (NH₃) molecules
- 1 Nitro group (NO₂)
- 2 Chloride ions (Cl⁻)

### Step 2: Determine the Total Charge of the Complex
The overall charge of the complex can be calculated as follows:
- Cr³⁺ contributes +3
- Each NH₃ is neutral (0 charge), so 5 NH₃ contribute 0
- NO₂ can be considered as neutral in this context (0 charge)
- Each Cl⁻ contributes -1, so 2 Cl⁻ contribute -2

The total charge of the complex is:
\[ +3 + 0 + 0 - 2 = +1 \]

### Step 3: Analyze the Ionization in Aqueous Solution
The question states that one molecule of this compound produces three ions in aqueous solution. This indicates that:
- The complex ion itself counts as one ion.
- The two chloride ions (Cl⁻) are released into the solution.

So, the dissociation can be represented as:
\[ [Cr(NH₃)_5(NO₂)]Cl_2 \rightarrow [Cr(NH₃)_5(NO₂)]^+ + 2Cl^- \]

### Step 4: Reaction with AgNO₃
When the complex reacts with excess AgNO₃, it precipitates 2 moles of AgCl, confirming the presence of 2 chloride ions in the solution.

### Step 5: Identify Types of Isomerism
1. **Geometrical Isomerism**: This type of isomerism occurs in coordination compounds with different spatial arrangements of ligands. However, in this case, since we have a coordination number of 6 with 5 identical NH₃ ligands and one NO₂, geometrical isomerism is not possible.

2. **Ionization Isomerism**: This occurs when the composition of the ions in solution differs. In this case, we can exchange one of the chloride ions with the nitro group, leading to different ions in solution. Thus, ionization isomerism is possible.

3. **Linkage Isomerism**: The nitro group (NO₂) can bind through either the nitrogen or the oxygen atom, leading to different structural isomers. This means linkage isomerism is also possible.

4. **Optical Isomerism**: This type of isomerism occurs when a compound can exist in two non-superimposable mirror images. However, due to the symmetry in the complex, optical isomerism is not possible.

### Conclusion
Based on the analysis, the types of isomerism shown by the complex compound are:
- Ionization Isomerism
- Linkage Isomerism

Thus, the answer is **Ionization and Linkage Isomerism**.

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