The two compounds `[Co(SO_(4))(NH_(3))_(5)]Br` and `[Co(SO_(4))(NH_(3))_(5)]Cl` represent:

Options

A. linkage isomersim
B. ionisation isomerism
C. coordination isomerism
D. no isomerism .

Explanation

To solve the question regarding the two compounds \([Co(SO_4)(NH_3)_5]Br\) and \([Co(SO_4)(NH_3)_5]Cl\), we need to analyze the nature of these compounds and the type of isomerism they may exhibit.

### Step-by-Step Solution:

1. **Identify the Components of the Compounds**:
- Both compounds have the same central metal ion, which is cobalt (Co).
- They both contain the same ligands: one sulfate ion (SO₄) and five ammonia molecules (NH₃).
- The only difference between the two compounds is the anion: one has bromine (Br) and the other has chlorine (Cl).

2. **Understand Isomerism**:
- Isomerism refers to the phenomenon where two or more compounds have the same molecular formula but different arrangements of atoms or different properties.
- There are several types of isomerism relevant to coordination compounds, including linkage isomerism, ionization isomerism, and coordination isomerism.

3. **Evaluate the Types of Isomerism**:
- **Linkage Isomerism**: This occurs when a ligand can attach to the metal in different ways. In our case, the ligands (SO₄ and NH₃) do not exhibit this behavior as they attach in a fixed manner.
- **Ionization Isomerism**: This occurs when two compounds have the same formula but yield different ions in solution. Here, the only difference is the anion (Br vs Cl), which does not lead to different ions in solution since both are simply halides.
- **Coordination Isomerism**: This type occurs when there are different arrangements of ligands between cationic and anionic parts of a complex. Since both compounds have the same coordination sphere and do not involve different metal ions, this type of isomerism does not apply here.

4. **Conclusion**:
- Since the only difference between the two compounds is the anion (Br vs Cl) and there are no other types of isomerism applicable, we conclude that these compounds do not exhibit any isomerism.
- Therefore, the correct answer is that the two compounds represent **no isomerism**.

### Final Answer:
The two compounds \([Co(SO_4)(NH_3)_5]Br\) and \([Co(SO_4)(NH_3)_5]Cl\) represent **no isomerism**.

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