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

Options

A. Parabolic
B. Linear
C. Sinusoidal
D. Circular

Explanation

To solve the question regarding the plot of molar conductance versus the square root of concentration (C) for a strong electrolyte, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Molar Conductance**:
Molar conductance (Λ) of an electrolyte is defined as the conductivity (κ) of the solution divided by the molarity (C) of the electrolyte. It is expressed as:
\[ \Lambda = \frac{\kappa}{C} \]

2. **Debye-Hückel Equation**:
For strong electrolytes, the Debye-Hückel theory provides a relationship between molar conductance and concentration. The equation is given by:
\[ \Lambda = \Lambda_{\infty} - b \sqrt{C} \]
where:
- \(\Lambda_{\infty}\) is the molar conductance at infinite dilution.
- \(b\) is a constant.
- \(C\) is the concentration of the electrolyte.

3. **Rearranging the Equation**:
The equation can be rearranged to resemble the equation of a straight line:
\[ \Lambda = -b \sqrt{C} + \Lambda_{\infty} \]
Here, if we let \(y = \Lambda\) and \(x = \sqrt{C}\), the equation can be seen as:
\[ y = mx + c \]
where:
- \(m = -b\) (the slope),
- \(c = \Lambda_{\infty}\) (the y-intercept).

4. **Plotting the Graph**:
When we plot molar conductance (Λ) on the y-axis and \(\sqrt{C}\) on the x-axis, we will get a straight line with:
- A negative slope (since \(m = -b\)),
- An intercept at \(\Lambda_{\infty}\) on the y-axis.

5. **Conclusion**:
Therefore, the plot of molar conductance versus \(\sqrt{C}\) for a strong electrolyte is a straight line with a negative slope.

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

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