By diluting a weak electrolyte, specific conductivity `(K_(c))` and equivalent conductivity `(lamda_(c))` change as

Options

A. Both increase
B. K increases , A_(eq) decreases
C. K decrease , A_(aq) increase
D. Both decrease

Explanation

To analyze how specific conductivity (Kc) and equivalent conductivity (λc) change when a weak electrolyte is diluted, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Specific Conductivity (Kc)**:
- Specific conductivity (Kc) is defined as the conductance of a solution per unit volume (usually per cm³). It is a measure of how well the solution can conduct electricity.

2. **Understanding Equivalent Conductivity (λc)**:
- Equivalent conductivity (λc) is defined as the conductivity of a solution per equivalent of the electrolyte. It measures how well the ions in the solution can conduct electricity when considering their charge.

3. **Effect of Dilution on Weak Electrolytes**:
- When a weak electrolyte is diluted, the concentration of the electrolyte decreases. However, weak electrolytes partially dissociate in solution. Upon dilution, the degree of dissociation increases due to the reduction in ion-ion interactions.

4. **Change in Specific Conductivity (Kc)**:
- As the solution is diluted, the number of ions per unit volume decreases, leading to a decrease in specific conductivity (Kc). This is because specific conductivity is directly related to the concentration of ions in the solution.

5. **Change in Equivalent Conductivity (λc)**:
- Although the concentration of ions decreases, the increased degree of dissociation means that more ions are available to contribute to conductivity. Therefore, equivalent conductivity (λc) increases upon dilution. This is because λc considers the total charge carried by the ions, which increases as the electrolyte dissociates more completely.

6. **Conclusion**:
- In summary, upon dilution of a weak electrolyte:
- Specific conductivity (Kc) **decreases**.
- Equivalent conductivity (λc) **increases**.

### Final Answer:
- Specific conductivity (Kc) decreases, and equivalent conductivity (λc) increases upon dilution of a weak electrolyte.