Question

The cell constant of a conductivity cell is

• A. \( \frac{L}{A} \)
• B. \( \frac{A}{I} \)
• C. \( I \cdot A \)
• D. \( \frac{R}{A} \)

Hint:

The cell constant is used to calculate the conductivity of a solution using the measured resistance and the known dimensions of the conductivity cell.

Answer 1

The Correct Option is A

Step 1: Understanding the cell constant.
The cell constant \( K \) of a conductivity cell is the ratio of the distance between the electrodes \( L \) to the cross-sectional area \( A \) of the electrodes. It is used in the equation for calculating the conductivity of the solution. \[ K = \frac{L}{A} \] Step 2: Analysis of options.
(A) \( \frac{L}{A} \): Correct — This is the definition of the cell constant.
(B) \( \frac{A}{I} \): This does not represent the correct formula for the cell constant.
(C) \( I \cdot A \): This does not represent the correct formula for the cell constant.
(D) \( \frac{R}{A} \): This does not represent the correct formula for the cell constant.
Step 3: Conclusion.
The correct answer is (A) because the cell constant is given by \( \frac{L}{A} \), where \( L \) is the distance between the electrodes and \( A \) is the cross-sectional area.