A coordination compound X gives pale yellow colour with `AgNO_(3)` solution while its isomer Y gives white precipitate with `BaCl_(2)` . Two compounds are isomers of `CoBrSO_(4)* 5NH_(3)` . What could be the possible formula of X and Y ?

Options

A. X = `[Co(NH_(3))_(5)SO_(4)] Br, Y = [Co(NH_(3))_(5) Br]SO_(4)`
B. `X = [Co(NH_(3))_(5)Br]SO_(4) , Y = [Co(NH_(3))_(5)SO_(4)]Br`
C. `X = [Co(NH_(3))_(5)Br(SO_(4))] , Y = [CoBr(SO_(4))(NH_(3))_(5)]`
D. `X = [Co(Br_(5) NH_(3)]SO_(4) , Y = [CoBr(SO_(4))]NH_(3)`

Explanation

To solve the problem, we need to determine the possible formulas for the coordination compounds X and Y, which are isomers of CoBrSO₄·5NH₃. We know that:

1. Compound X gives a pale yellow color with AgNO₃ solution.
2. Compound Y gives a white precipitate with BaCl₂.

### Step-by-Step Solution:

**Step 1: Identify the Coordination Compound**
The coordination compound is CoBrSO₄·5NH₃. This indicates that cobalt (Co) is the central metal ion, and it is coordinated with 5 ammonia (NH₃) ligands, one bromide (Br⁻) ion, and one sulfate (SO₄²⁻) ion.

**Step 2: Determine the Possible Isomers**
Isomers can be classified as:
- **Structural isomers**: Different connectivity of ligands.
- **Stereoisomers**: Same connectivity but different spatial arrangement.

In this case, we can have two structural isomers based on the position of the Br and SO₄ groups:
1. Co(NH₃)₅BrSO₄
2. Co(NH₃)₅SO₄Br

**Step 3: Analyze the Reactions with AgNO₃ and BaCl₂**
- **For Compound X**: It gives a pale yellow color with AgNO₃. This indicates that it likely contains a bromide ion (Br⁻), which forms a yellow precipitate of AgBr when reacted with AgNO₃.
- **For Compound Y**: It gives a white precipitate with BaCl₂. This indicates that it contains a sulfate ion (SO₄²⁻), which forms a white precipitate of BaSO₄ when reacted with BaCl₂.

**Step 4: Assign the Compounds to X and Y**
Based on the above reactions:
- Compound X, which gives a pale yellow color with AgNO₃, must be Co(NH₃)₅BrSO₄.
- Compound Y, which gives a white precipitate with BaCl₂, must be Co(NH₃)₅SO₄Br.

### Conclusion
Thus, the possible formulas for the compounds are:
- **X**: Co(NH₃)₅BrSO₄
- **Y**: Co(NH₃)₅SO₄Br

### Final Answer
The possible formulas of X and Y are:
- X = Co(NH₃)₅BrSO₄
- Y = Co(NH₃)₅SO₄Br