Statement-1: Valence factor of `H_(2)O_(2)` is always 2.
Statement-2: In redox reaction change of oxidation state per molecule is 2.

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 the statements about the valence factor of \( H_2O_2 \) and the change of oxidation state in redox reactions, we will analyze each statement step by step.

### Step 1: Understanding Statement 1
**Statement 1:** The valence factor of \( H_2O_2 \) is always 2.

- **Definition of Valence Factor:** The valence factor of a substance is defined as the total change in oxidation state of all atoms in one molecule during a reaction, or equivalently, the number of electrons exchanged in the reaction.

- **Analyzing \( H_2O_2 \):**
- The oxidation state of oxygen in \( H_2O_2 \) (hydrogen peroxide) is -1.
- In the reaction where \( H_2O_2 \) decomposes, it can be represented as:
\[ 2H_2O_2 \rightarrow 2H_2O + O_2 \]
- In this reaction, the oxidation state of oxygen changes from -1 in \( H_2O_2 \) to 0 in \( O_2 \) (elemental state) and from -1 in \( H_2O_2 \) to -2 in \( H_2O \).

- **Calculating Change in Oxidation State:**
- For one molecule of \( H_2O_2 \):
- One oxygen goes from -1 to 0 (oxidation, change of +1).
- The other oxygen goes from -1 to -2 (reduction, change of -1).
- Total change in oxidation state per molecule of \( H_2O_2 \) is:
\[ +1 + (-1) = 0 \]
- However, if we consider the total number of electrons transferred, we find that 2 electrons are exchanged for 2 molecules of \( H_2O_2 \), leading to a valence factor of:
\[ \text{Valence Factor} = \frac{2 \text{ electrons}}{2 \text{ molecules}} = 1 \]

**Conclusion for Statement 1:** The statement is **false** because the valence factor of \( H_2O_2 \) is 1, not 2.

### Step 2: Understanding Statement 2
**Statement 2:** In redox reactions, the change of oxidation state per molecule is 2.

- **Analyzing Redox Reactions:**
- In a redox reaction, the total change in oxidation state for the reactants can be calculated.
- In the case of \( H_2O_2 \), as analyzed above, the total change in oxidation state is indeed 2 when considering the two oxygen atoms involved in the reaction.

**Conclusion for Statement 2:** The statement is **true** because the total change in oxidation state for the two oxygen atoms in \( H_2O_2 \) during the reaction is 2.

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

### Correct Option
The correct option is that Statement 1 is false and Statement 2 is true.

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