Which of the following statement is correct?

Options

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

Answer

To determine which statement is correct regarding the properties of E_cell and ΔG, we need to analyze the definitions of intensive and extensive properties in thermodynamics.

### Step-by-Step Solution:

1. **Understanding Intensive and Extensive Properties**:
- **Intensive Properties**: These are properties that 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. **Analyzing E_cell**:
- E_cell, or the electromotive force (EMF) of a cell, is a measure of the potential difference between two electrodes in an electrochemical cell.
- E_cell is considered an intensive property because it does not change with the amount of reactants present in the cell. For example, if you increase the concentration of reactants, the EMF remains constant as it is an inherent property of the cell.

3. **Analyzing ΔG (Gibbs Free Energy)**:
- ΔG represents the change in Gibbs free energy during a reaction. It is a measure of the maximum reversible work that can be performed by a thermodynamic system at constant temperature and pressure.
- ΔG is an extensive property because it depends on the amount of reactants and products involved in the reaction. The more reactants you have, the greater the change in Gibbs free energy.

4. **Conclusion**:
- Based on the definitions and analyses above, we conclude that E_cell is an intensive property and ΔG is an extensive property. Therefore, the correct statement is that E_cell is intensive while ΔG is extensive.

### Final Answer:
The correct answer is: **E_cell is intensive, ΔG is extensive.**