Question:

The cell constant of a conductivity cell is

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Large electrode area or small spacing $\Rightarrow$ smaller cell constant (more conductive cell).
  • $\dfrac{l}{A}$
  • $\dfrac{A}{l}$
  • $l \times A$
  • $\dfrac{R}{A}$
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The Correct Option is A

Solution and Explanation

Step 1: Definition.
Cell constant ($G^*$) relates conductance to conductivity: $\kappa = G^* \cdot G$, where $G$ is conductance.
Step 2: Geometry dependence.
For parallel-plate electrodes, $G^*=\dfrac{l}{A}$, with $l$ = distance between electrodes and $A$ = area of electrodes.
Step 3: Conclusion.
Hence, the cell constant is $\dfrac{l{A}$}.
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