The variation equivalent conductance of stronge electrolyte with `sqrt(Concentration)` is correctly shown in the figure.

Options

A.
B.
C.
D.

Answer

To solve the question regarding the variation of equivalent conductance of a strong electrolyte with the square root of concentration, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship**: We know that for strong electrolytes, the equivalent conductance (Λ) decreases as the concentration (C) increases. This is due to the fact that as the electrolyte is diluted, the number of ions per unit volume increases, leading to higher conductance.

2. **Use the Debye-Hückel-Onsager Equation**: The relationship can be described by the Debye-Hückel-Onsager equation:
\[ \Lambda = \Lambda_0 - a \sqrt{C} \]
where:
- \( \Lambda \) is the equivalent conductance at concentration \( C \),
- \( \Lambda_0 \) is the equivalent conductance at zero concentration,
- \( a \) is a constant related to the electrolyte.

3. **Rearrange the Equation**: The equation can be rearranged to show the relationship between equivalent conductance and the square root of concentration:
\[ \Lambda = -a \sqrt{C} + \Lambda_0 \]
This indicates that as \( \sqrt{C} \) increases, \( \Lambda \) decreases, which suggests a linear relationship with a negative slope.

4. **Graph Interpretation**: In the graph:
- The y-axis represents equivalent conductance (Λ).
- The x-axis represents the square root of concentration (\( \sqrt{C} \)).
- The graph will start at \( \Lambda_0 \) when \( C = 0 \) and will slope downwards as \( \sqrt{C} \) increases.

5. **Identify the Correct Graph**: Among the provided options:
- Option 1 shows an increase and then a constant conductance, which is incorrect.
- Option 2 shows a decrease in equivalent conductance with increasing \( \sqrt{C} \), which matches our derived equation.
- Option 3 shows an increase in conductance, which is incorrect.
- Option 4 shows an exponential decrease, which is also incorrect.

Therefore, the correct option is **Option 2**.