Molar conductance of electrolytic solution `wedge_(m)` is

Options

A. `prop1`
B. `prop(1//A)`
C. `prop(1//C)`
D. `prop(sqrt(C))`

Explanation

To solve the question regarding the molar conductance of an electrolytic solution (denoted as \( \Lambda_m \)), we can break down the concept into clear steps.

### Step-by-Step Solution:

1. **Understanding Molar Conductance**:
Molar conductance (\( \Lambda_m \)) is defined as the conductance of a solution containing one mole of an electrolyte in a given volume of solution. It is expressed in units of S m²/mol.

2. **Formula for Molar Conductance**:
The molar conductance can be calculated using the formula:
\[ \Lambda_m = \frac{K \cdot V}{1000} \]
where \( K \) is the specific conductance (conductivity) of the solution in S/m, and \( V \) is the volume of the solution in mL.

3. **Relationship with Conductance**:
Conductance (\( G \)) is related to the resistivity of the solution. The conductance of a solution can be expressed as:
\[ G = \frac{L}{R} \]
where \( L \) is the length of the solution path between the electrodes and \( R \) is the resistance of the solution.

4. **Proportionality to Concentration**:
Molar conductance is inversely proportional to the concentration of the electrolyte:
\[ \Lambda_m \propto \frac{L}{A \cdot C} \]
where \( A \) is the cross-sectional area of the electrodes, and \( C \) is the concentration of the solution.

5. **Conclusion**:
Therefore, the molar conductance of an electrolytic solution can be expressed in terms of its specific conductance, volume, and concentration. It is a measure of how well the ions in the solution can conduct electricity.

### Final Expression:
Thus, the molar conductance \( \Lambda_m \) can be summarized as:
\[ \Lambda_m = \frac{K \cdot V}{1000} \quad \text{and} \quad \Lambda_m \propto \frac{L}{A \cdot C} \]