Which of the following electrolytic solutions with the given concentrations containing the same solute has the least value of specific conductance?

Options

A. `0.02` N
B. `0.2` N
C. 2 N
D. `0.002` N

Answer

To solve the problem of determining which electrolytic solution has the least value of specific conductance, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Specific Conductance**: Specific conductance (κ) is a measure of a solution's ability to conduct electricity. It is defined as the conductance of 1 cm³ of solution. The specific conductance is directly related to the concentration of ions in the solution.

2. **Identify the Given Concentrations**: The problem provides four different concentrations of the same solute:
- Option 1: 0.02 N
- Option 2: 0.2 N
- Option 3: 2 N
- Option 4: 0.002 N

3. **Determine the Concentration Levels**: To find which solution has the least specific conductance, we need to identify which concentration is the lowest.
- Comparing the concentrations:
- 0.002 N < 0.02 N < 0.2 N < 2 N

4. **Relate Concentration to Specific Conductance**: As the concentration of an electrolyte solution decreases (i.e., becomes more diluted), the specific conductance also decreases. This is because there are fewer ions available to carry the electric current.

5. **Conclusion**: Since 0.002 N is the lowest concentration among the given options, it will have the least specific conductance.

### Final Answer:
The electrolytic solution with the least value of specific conductance is **Option 4: 0.002 N**.

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