Total possible linkage isomers of `K_(4)[Fe(CN)_(5)(NO_(2))]` is :

Options

A. 12
B. 10
C. 6
D. 4

Explanation

To determine the total possible linkage isomers of the coordination compound \( K_4[Fe(CN)_5(NO_2)] \), we will analyze the ligands present in the complex and how they can bond to the central metal atom, iron (Fe).

### Step-by-step Solution:

1. **Identify the Ligands**:
The complex contains two types of ligands:
- **Cyanide (CN)**: This is a monodentate ligand, meaning it can attach to the metal at only one site.
- **Nitrito (NO2)**: This is an ambidentate ligand, which means it can attach through either the nitrogen (N) or the oxygen (O) atom.

2. **Count the Ligands**:
- There are 5 cyanide (CN) ligands.
- There is 1 nitrito (NO2) ligand.

3. **Determine Linkage Isomers**:
- The cyanide ligands can only bond in one way (through carbon).
- The nitrito ligand can bond in two different ways (through nitrogen or oxygen).

4. **Calculate the Total Linkage Isomers**:
- The cyanide ligands do not contribute to linkage isomers since they are monodentate.
- The nitrito ligand contributes 2 linkage isomers (one for each donor atom).
- Therefore, the total number of linkage isomers is determined by the number of ways the nitrito ligand can bond.

5. **Final Count**:
- Since there are 2 ways for the nitrito ligand to bond, and the cyanide ligands do not change the bonding mode, the total number of linkage isomers for \( K_4[Fe(CN)_5(NO_2)] \) is **2**.

### Conclusion:
The total possible linkage isomers of \( K_4[Fe(CN)_5(NO_2)] \) is **2**.

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