Which of the following statement is correct?

Options

A. `E_"cell"` and `Delta_rG` of cell reaction both are extensive properties.
B. `E_"cell"` and `Delta_rG` of cell reaction both are intensive properties.
C. `E_"cell"` is an intensive property while `Delta_rG` of cell reaction is an extensive property.
D. `E_"cell"` is an intensive property while `Delta_rG` of cell reaction is an intensive property.

Answer

To solve the question regarding which statement is correct, we will analyze the concepts of intensive and extensive properties, as well as the relationship between ΔG (Gibbs free energy) and E_cell (electrode potential).

### Step-by-Step Solution:

1. **Understanding Intensive and Extensive Properties:**
- **Intensive Property:** An intensive property is a physical property that does not depend on the size or amount of material in the system. Examples include temperature, pressure, and density.
- **Extensive Property:** An extensive property is a physical property that does depend on the size or amount of material in the system. Examples include mass, volume, and total energy.

2. **Identifying ΔG and E_cell:**
- **ΔG (Gibbs Free Energy):** The change in Gibbs free energy is an extensive property. It is calculated using the formula:
\[ ΔG = -nFE_{cell} \]
where \( n \) is the number of moles of electrons transferred, \( F \) is Faraday's constant, and \( E_{cell} \) is the cell potential.
- **E_cell (Electrode Potential):** The electrode potential is an intensive property. It does not change with the amount of material present in the system.

3. **Analyzing the Options:**
- Based on the definitions and relationships established, we can conclude:
- E_cell is an intensive property.
- ΔG is an extensive property.

4. **Selecting the Correct Statement:**
- From the analysis, we find that the correct statement among the options provided is that E_cell is an intensive property and ΔG is an extensive property. Therefore, the correct answer is **Option C**.

### Final Answer:
The correct statement is **Option C**: E_cell is an intensive property, while ΔG is an extensive property.