How is the cell constant determined?

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Question

(A) The cell constant $(G^*)$ is defined as the ratio of the distance between the electrodes $(l)$ to the area of cross-section of the electrodes $(A)

Vedclass · Accepted Answer

By measuring the resistance of the cell containing a solution of known conductivity.

Vedclass · Answer

(A) The cell constant $(G^*)$ is defined as the ratio of the distance between the electrodes $(l)$ to the area of cross-section of the electrodes $(A)$,i.e.,$G^* = l/A$.
Since it is difficult to measure $l$ and $A$ accurately for many cells,the cell constant is determined by measuring the resistance $(R)$ of the cell when filled with a standard solution of known conductivity $(\kappa)$,such as $KCl$ solution.
The relationship is given by: $\kappa = G^* / R$,which implies $G^* = \kappa 	imes R$.

Ion and $\lambda ^o / (S \ cm^2 \ mol^{-1})$	Ion and $\lambda ^o / (S \ cm^2 \ mol^{-1})$
$H^{+} : 349.6$	$OH^{-} : 199.1$
$Na^{+} : 50.1$	$Cl^{-} : 76.3$
$K^{+} : 73.5$	$Br^{-} : 78.1$
$Ca^{2+} : 119.0$	$CH_3COO^{-} : 40.9$
$Mg^{2+} : 106.0$	$SO_4^{2-} : 160.0$

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