Statement-1: Complete hydrolysis of one mole of peroxydisulphuric acid gives one mole of `H_(2)O_(2)` and moles of `H_(2)SO_(4)`.
Statement-2: Peroxydisulphuric acid has one peroxy linkage.

Options

A. Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1
B. Statement-1 is true, statement-2 is true, statement-2 is not correct explanation for statement-1
C. Statement-1 is true, statement-2 is false
D. Statement-1 is false, statement-2 is true

Answer

To solve the question regarding peroxydisulphuric acid (H₂S₂O₈) and its hydrolysis, we will analyze the two statements provided.

### Step-by-Step Solution:

1. **Understanding Peroxydisulphuric Acid**:
- Peroxydisulphuric acid has the chemical formula H₂S₂O₈. It contains two sulfur atoms and is characterized by the presence of a peroxy linkage (O-O bond).

2. **Analyzing Statement 1**:
- Statement 1 claims that the complete hydrolysis of one mole of peroxydisulphuric acid produces one mole of hydrogen peroxide (H₂O₂) and one mole of sulfuric acid (H₂SO₄).
- To verify this, we need to consider the hydrolysis reaction of peroxydisulphuric acid.

3. **Hydrolysis Reaction**:
- The hydrolysis of peroxydisulphuric acid can be represented as:
\[ \text{H}_2\text{S}_2\text{O}_8 + \text{H}_2\text{O} \rightarrow \text{H}_2\text{SO}_5 + \text{H}_2\text{SO}_4 \]
- This reaction shows that one mole of peroxydisulphuric acid reacts with water to produce peroxymonosulphuric acid (H₂SO₅) and sulfuric acid (H₂SO₄), not hydrogen peroxide.

4. **Conclusion for Statement 1**:
- Since the hydrolysis does not yield hydrogen peroxide (H₂O₂), Statement 1 is **incorrect**.

5. **Analyzing Statement 2**:
- Statement 2 states that peroxydisulphuric acid has one peroxy linkage.
- The structure of peroxydisulphuric acid shows that there is indeed an O-O bond, which is the peroxy linkage.

6. **Conclusion for Statement 2**:
- Since peroxydisulphuric acid does contain one peroxy linkage, Statement 2 is **correct**.

### Final Evaluation:
- Statement 1: **False**
- Statement 2: **True**

Thus, the correct answer is that Statement 1 is false and Statement 2 is true.