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 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 of cell (cell potential) and ΔG (Gibbs free energy), we will analyze the definitions of intensive and extensive properties and apply them to both E of cell and ΔG.

### Step-by-Step Solution:

1. **Define Intensive and Extensive Properties**:
- **Intensive Properties**: These properties do not depend on the amount of material or the size of the system. Examples include temperature, pressure, and density.
- **Extensive Properties**: These properties depend on the amount of material or the size of the system. Examples include mass, volume, and total energy.

2. **Analyze E of Cell**:
- E of cell, or cell potential, is the voltage produced by an electrochemical cell.
- It is an **intensive property** because the voltage remains the same regardless of the size or amount of the electrolyte in the cell. For a given type of electrochemical cell, the potential difference (E) is constant.

3. **Analyze ΔG (Gibbs Free Energy)**:
- ΔG represents the maximum reversible work that can be performed by a thermodynamic system at constant temperature and pressure.
- It is an **extensive property** because it depends on the amount of substance present. More reactants or products lead to a greater change in free energy.

4. **Conclusion**:
- Based on the definitions and analyses:
- E of cell is an intensive property.
- ΔG is an extensive property.
- Therefore, the correct statement is: "E of cell is an intensive property while ΔG is an extensive property."

### Final Answer:
The correct statement is: **E of cell is intensive property while ΔG is extensive.**