The plot of molar conductance vs `sqrt(C)` in strong electrolyte , is

Options

A. circular
B. linear
C. parabolic
D. sinusoidal

Explanation

To solve the question regarding the plot of molar conductance vs. the square root of concentration for a strong electrolyte, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Variables**:
- Molar conductance (Λ) is the measure of how well an electrolyte conducts electricity in solution.
- Concentration (C) is the amount of solute in a given volume of solution.

2. **Identify the Relationship**:
- For strong electrolytes, the molar conductance (Λ) can be expressed as:
\[ Λ = Λ_0 - B \sqrt{C} \]
where:
- \(Λ_0\) is the molar conductance at infinite dilution,
- \(B\) is a constant that depends on the electrolyte,
- \(C\) is the concentration of the electrolyte.

3. **Rearranging the Equation**:
- The equation can be rearranged to fit the linear equation format \(Y = MX + C\):
\[ Λ = -B \sqrt{C} + Λ_0 \]
- Here, \(Y\) corresponds to molar conductance (Λ), \(X\) corresponds to \(\sqrt{C}\), \(M\) (slope) is \(-B\), and \(C\) (Y-intercept) is \(Λ_0\).

4. **Graph Interpretation**:
- The equation \(Λ = -B \sqrt{C} + Λ_0\) indicates that as \(\sqrt{C}\) increases, molar conductance (Λ) decreases linearly.
- This means that the plot of molar conductance (Y-axis) against \(\sqrt{C}\) (X-axis) will produce a straight line.

5. **Conclusion**:
- Therefore, the plot of molar conductance vs. \(\sqrt{C}\) for a strong electrolyte is linear.

### Final Answer:
The plot of molar conductance vs. \(\sqrt{C}\) in a strong electrolyte is **linear**.

---