Statement-I: `H_(2)+O_(2)` fuel cell gives a constant voltage throughout its life.
Because Statement-II: In this fuel cell, `H_(2)` reacts with `OH^(-)` ions yet the overall concentration of `OH^(-)` ions does not change.

Options

A. Statement 1 is ture , Statement 2 is true Statement 2 is correct explanation for Statement 10
B. Statement 1 is true Statement 2 is ture Statement 2 is NOT a correct explantion for Statement 10
C. Statement 1 is true statement 2 is ture
D. Statement 1 is false Statement 2 is true

Answer

To solve the problem, we need to analyze both statements and determine their validity and relationship.

### Step-by-Step Solution:

1. **Understanding Statement-I**:
- Statement-I claims that the `H2 + O2` fuel cell gives a constant voltage throughout its life.
- This is generally true for fuel cells, as they can maintain a relatively constant voltage as long as reactants are supplied and the system is functioning properly.

2. **Understanding Statement-II**:
- Statement-II states that in this fuel cell, `H2` reacts with `OH^(-)` ions, yet the overall concentration of `OH^(-)` ions does not change.
- To understand this, we need to look at the reactions occurring in the fuel cell.

3. **Analyzing the Anode Reaction**:
- At the anode, the reaction can be represented as:
\[ 2H2 + 4OH^{-} \rightarrow 4H2O + 4e^{-} \]
- Here, `OH^(-)` ions are consumed in the reaction.

4. **Analyzing the Cathode Reaction**:
- At the cathode, the reaction can be represented as:
\[ O2 + 2H2O + 4e^{-} \rightarrow 4OH^{-} \]
- In this reaction, `OH^(-)` ions are produced.

5. **Conclusion on `OH^(-)` Concentration**:
- The amount of `OH^(-)` consumed at the anode is equal to the amount produced at the cathode. Therefore, the overall concentration of `OH^(-)` ions remains unchanged throughout the operation of the fuel cell.

6. **Final Evaluation**:
- Since both statements are true and Statement-II provides a correct explanation for Statement-I, we conclude that both statements are valid and related.

### Final Answer:
- Both Statement-I and Statement-II are true, and Statement-II is the correct explanation of Statement-I.