Which of the following statement is correct?

Options

A. `E_(cell) and Delta_(r)G` of cell reaction both are extensive properties.
B. `E_(cell) and Delta_(r)G` of cell reaction both are intensive properties.
C. `E_(cell)` is an intensive properties while `Delta_(r)G` of cell reaction is an extensive property.
D. `E_(cell)` is an extensive property while `Delta_(r)G` of cell reaction is an intensive property.

Explanation

To determine which statement is correct regarding intensive and extensive properties, let's analyze the properties and the statements provided.

### Step-by-Step Solution:

1. **Understand Intensive and Extensive Properties**:
- **Intensive Properties**: These properties do not depend on the amount of substance present. Examples include temperature, pressure, and density.
- **Extensive Properties**: These properties depend on the amount of substance present. Examples include mass, volume, and total energy.

2. **Identify the Properties of Interest**:
- In this question, we are particularly interested in the properties of E_cell (cell potential) and ΔG (Gibbs free energy).

3. **Analyze E_cell**:
- E_cell is an intensive property. This means that the value of E_cell does not change regardless of the size or extent of the system. You cannot simply add E_cell values from different reactions to get a combined E_cell.

4. **Analyze ΔG**:
- ΔG is an extensive property. This means that ΔG depends on the amount of substance involved in the reaction. You can add the ΔG values of two reactions to obtain the ΔG for the overall reaction.

5. **Conclusion**:
- Based on the definitions and analysis, the correct statement is that E_cell is an intensive property and ΔG is an extensive property. Therefore, the correct option is the one that states this relationship.

### Final Answer:
The correct statement is: E_cell is an intensive property, and ΔG is an extensive property.