STATEMENT-1: The oxidation state of S in `H_(2)S_(2)O_(8)` is 6.
STATEMENT-2: Maximum oxidation state of S is 6 because the maximum oxidation state of an element is equal to number of its valence electrons in it.

Options

A. If both the statement are TRUE and STATEMENT -2 is the correct explanation of STATEMENT-1
B. If both the statement are TRUE but STATEMENT-2 is NOT the correct explanation of STATEMENT-1
C. If STATEMENT- is 1 TRUE and STATEMENT-2 is FALSE
D. If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Answer

To solve the problem, we need to evaluate both statements regarding the oxidation state of sulfur in the compound \( H_2S_2O_8 \).

### Step 1: Determine the oxidation state of sulfur in \( H_2S_2O_8 \)

1. **Assign oxidation states**:
- Let the oxidation state of sulfur be \( x \).
- In \( H_2S_2O_8 \), there are 2 hydrogen atoms, each with an oxidation state of +1, contributing a total of +2.
- There are 8 oxygen atoms, each with an oxidation state of -2, contributing a total of -16.

2. **Set up the equation**:
\[ 2x + 2 - 16 = 0 \]
This simplifies to:
\[ 2x - 14 = 0 \]

3. **Solve for \( x \)**:
\[ 2x = 14 \implies x = 7 \]

### Step 2: Analyze the result

- The calculated oxidation state of sulfur is +7. However, we know from chemical principles that sulfur cannot exceed an oxidation state of +6 due to its valence electron configuration (6 valence electrons).

### Step 3: Correct the interpretation

1. **Understanding the maximum oxidation state**:
- The maximum oxidation state of sulfur is indeed +6 because it can lose all 6 of its valence electrons.
- Thus, the oxidation state of sulfur in \( H_2S_2O_8 \) must be +6, not +7.

### Conclusion

- **Statement 1**: The oxidation state of sulfur in \( H_2S_2O_8 \) is +6 (True).
- **Statement 2**: The maximum oxidation state of sulfur is +6 because it equals the number of its valence electrons (True).

Since both statements are true and the second statement correctly explains the first, we conclude that both statements are correct.

### Final Answer:
Both statements are true, and statement 2 is the correct explanation of statement 1.

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