The variation of equivalent conductance of a weak electrolyte with `(concentration)^(1//2)` is represented as

Options

A.
B.
C.
D.

Explanation

To solve the problem regarding the variation of equivalent conductance of a weak electrolyte with \((\text{concentration})^{1/2}\), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Equivalent Conductance**:
- Equivalent conductance (\(\Lambda\)) is defined as the conductance of an electrolyte solution divided by the number of equivalents of the electrolyte in the solution. It is a measure of the ability of ions to conduct electricity in a solution.

2. **Behavior of Weak Electrolytes**:
- Weak electrolytes do not completely dissociate in solution. Therefore, their conductance increases with dilution because the degree of dissociation increases as the concentration decreases.

3. **Relationship with Concentration**:
- For weak electrolytes, the equivalent conductance (\(\Lambda\)) is related to the concentration (\(C\)) of the solution. As the concentration decreases (or dilution increases), the equivalent conductance increases.

4. **Graphical Representation**:
- The problem asks for the graph of equivalent conductance (\(\Lambda\)) versus \((\text{concentration})^{1/2}\).
- As the concentration decreases, \((\text{concentration})^{1/2}\) will also decrease, but since we are plotting \(\Lambda\) against \((\text{concentration})^{1/2}\), we expect that as \((\text{concentration})^{1/2}\) increases, \(\Lambda\) will also increase.

5. **Shape of the Graph**:
- The graph will be a straight line starting from the origin, indicating a direct proportionality between equivalent conductance and the square root of concentration for weak electrolytes.

6. **Conclusion**:
- Therefore, the correct representation of the variation of equivalent conductance of a weak electrolyte with \((\text{concentration})^{1/2}\) will be a straight line graph that rises as \((\text{concentration})^{1/2}\) increases.

### Final Answer:
The variation of equivalent conductance of a weak electrolyte with \((\text{concentration})^{1/2}\) is represented as a straight line graph that increases with increasing \((\text{concentration})^{1/2}\).

---