Two half cells have reduction potentials `-0.76 V` and `-0.13 V` respectively . A galvanic cell is made from these two half cells . Which of the following statements is correct ?

Options

A. Electrode of half-cell potential `-0.76 V` acts as cathode
B. Electrode of half-cell potential `-0.76 V` acts as anode
C. Electrode of half-cell potential `-0.13 V` acts as anode
D. Electrode of half-cell potential `- 0.76 V` acts as positive electrode and `-0.13 V` as negative electrode

Answer

To solve the problem, we need to analyze the given reduction potentials of the two half cells and determine which electrode acts as the anode and which acts as the cathode in the galvanic cell.

### Step-by-Step Solution:

1. **Identify the Reduction Potentials**:
- Half cell 1: Reduction potential = -0.76 V
- Half cell 2: Reduction potential = -0.13 V

2. **Determine the Oxidation and Reduction**:
- A more positive reduction potential indicates a greater tendency to gain electrons (undergo reduction).
- The half cell with a reduction potential of -0.13 V is more positive than -0.76 V, meaning it has a greater tendency to undergo reduction.

3. **Assign Anode and Cathode**:
- In a galvanic cell:
- The electrode where reduction occurs is called the cathode.
- The electrode where oxidation occurs is called the anode.
- Since -0.13 V is more positive, it will act as the cathode (where reduction occurs).
- Conversely, -0.76 V will act as the anode (where oxidation occurs).

4. **Identify the Positive and Negative Electrodes**:
- The anode is the electrode where oxidation occurs and is considered the negative electrode.
- The cathode is the electrode where reduction occurs and is considered the positive electrode.
- Therefore, the electrode with -0.76 V acts as the negative electrode (anode), and the electrode with -0.13 V acts as the positive electrode (cathode).

5. **Conclusion**:
- The correct statement is: "Electrode of half cell potential of -0.76 V acts as the positive electrode and -0.13 V acts as the negative electrode."

### Final Answer:
The correct statement is: "Electrode of half cell potential of -0.76 V acts as the positive electrode and -0.13 V acts as the negative electrode."