The common lead storage battery produces electricity by two hall cell reactions, one of which is (written in the direction of production of electricity )

Options

A. `Pb+SO_4^(2-) to PbSO_4 + 2e^-`
B. `PbSO_4 + 2e^(-) to Pb+SO_4^(2-)`
C. `PbSO_4 + 2H_2O to PbO_2 + 4H^(+) + SO_4^(2-) + 2e^(-)`
D. none of the above

Explanation

To solve the question regarding the common lead storage battery and its reactions, we can break down the process step by step.

### Step-by-Step Solution:

1. **Understanding the Lead Storage Battery**:
- A lead storage battery is a type of secondary cell, meaning it can be recharged. It operates through electrochemical reactions that occur during discharging and charging.

2. **Identifying the Reactions**:
- The battery has two main half-cell reactions: one at the anode and one at the cathode.
- At the **anode**, the reaction can be written as:
\[ \text{Pb} + \text{SO}_4^{2-} \rightarrow \text{PbSO}_4 + 2e^- \]
- At the **cathode**, the reaction is:
\[ \text{PbO}_2 + \text{SO}_4^{2-} + 4\text{H}^+ + 2e^- \rightarrow \text{PbSO}_4 + 2\text{H}_2\text{O} \]

3. **Overall Reaction**:
- Combining both half-reactions gives the overall reaction for the discharge of the battery:
\[ \text{Pb} + \text{PbO}_2 + 2\text{SO}_4^{2-} + 4\text{H}^+ \rightarrow 2\text{PbSO}_4 + 2\text{H}_2\text{O} \]

4. **Determining the Correct Reaction for Electricity Production**:
- The question asks for the reaction that is written in the direction of electricity production. The reaction at the anode produces electrons, which are essential for generating electric current.
- Therefore, the first option given in the question, which corresponds to the anode reaction, is correct:
\[ \text{Pb} + \text{SO}_4^{2-} \rightarrow \text{PbSO}_4 + 2e^- \]

5. **Evaluating Other Options**:
- The second option represents a reverse reaction at the anode and does not produce electricity, hence it is incorrect.
- The option stating "none of the above" is also incorrect since we have identified a correct option.

### Conclusion:
The correct answer is option 1, which corresponds to the anode reaction that produces electrons and thus generates electricity.

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