Which of the following are peroxoacids of sulphur ?

Options

A. `H_(2)SO_(5) and H_(2)S_(2)O_(8)`
B. `H_(2)SO_(5) and H_(2)S_(2)O_(7)`
C. `H_(2)S_(2)O_(7) and H_(2)S_(2)O_(8)`
D. `H_(2)S_(2)O_(6) and H_(2)S_(2)O_(8)`

Explanation

To determine which of the given compounds are peroxoacids of sulfur, we need to understand the definition of peroxoacids and analyze the structures of the provided options.

### Step-by-Step Solution:

1. **Definition of Peroxoacids**:
- Peroxoacids are acids that contain an oxygen-oxygen (O-O) peroxide linkage in their structure.

2. **Analyzing the Options**:
- We have four options to consider:
1. H₂SO₅ and H₂SO₈
2. H₂SO₅ and H₂SO₇
3. H₂SO₇ and H₂SO₈
4. H₂O₆ and H₂O₈

3. **Structure of H₂SO₅**:
- The structure of H₂SO₅ can be drawn as follows:
- It consists of a sulfur atom (S) bonded to four oxygen atoms (O), with one of the oxygen atoms forming a peroxide linkage with another oxygen atom.
- The structure is:
```
O
||
S - O - O - H
|
O - H
```
- This shows that H₂SO₅ has an O-O peroxide linkage, making it a peroxoacid.

4. **Structure of H₂SO₈**:
- The structure of H₂SO₈ can be drawn similarly:
- It has multiple sulfur-oxygen double bonds and an O-O linkage.
- The structure is:
```
O
||
S - O - O - H
|
O
||
S - O - O - H
```
- This also contains an O-O peroxide linkage, confirming that H₂SO₈ is a peroxoacid.

5. **Structure of H₂SO₇**:
- For H₂SO₇, the structure can be represented as:
- It has sulfur bonded to multiple oxygen atoms but lacks the O-O linkage.
- The structure is:
```
O
||
S - O - OH
|
O
||
O
```
- There is no O-O linkage present, so H₂SO₇ is not a peroxoacid.

6. **Structure of H₂O₆**:
- The structure of H₂O₆ can be represented as:
- It consists of sulfur bonded to oxygen atoms but does not have an O-O linkage.
- The structure is:
```
O
||
S - O - OH
|
O
||
S - O - OH
```
- Again, there is no O-O linkage, so H₂O₆ is not a peroxoacid.

7. **Conclusion**:
- From the analysis, the only peroxoacids among the options are H₂SO₅ and H₂SO₈.
- Therefore, the correct answer is **Option 1: H₂SO₅ and H₂SO₈**.

### Final Answer:
**The peroxoacids of sulfur are H₂SO₅ and H₂SO₈ (Option 1).**