What is a conductivity cell constant? Provide a note on the conductivity cell constant $(G^*)$.

(N/A) The quantity $\left(\frac{l}{A}\right)$ is called the cell constant,denoted by the symbol $G^*$. Here,$l$ is the distance between the two electrodes of the cell,and $A$ is the area of cross-section of the electrodes. Direct measurement of $l$ and $A$ is often inconvenient and unreliable.
$(A)$ Measurement of cell resistance: The cell constant is usually determined by measuring the resistance of the cell containing a solution whose conductivity is already known. For this purpose,we generally use $KCl$ solutions,whose conductivity is known accurately at various concentrations and temperatures.
$(B)$ Procedure: The conductivity cell is filled with a $KCl$ solution of known concentration and is then connected to a Wheatstone bridge using an $AC$ current source to measure its resistance.
$(C)$ Calculation of cell constant $G^*$: $G^* = \left(\frac{l}{A}\right) = R \cdot \kappa$
Where,$R$ is the measured resistance of the $KCl$ solution,and $\kappa$ is the conductivity of the $KCl$ solution obtained from standard tables.
The table below provides reference values for $KCl$ solutions at $298.15 \ K$:

Molarity (mol $L^{-1}$)	Molarity (mol $m^{-3}$)	Conductivity $(S \ cm^{-1})$	Conductivity $(S \ m^{-1})$	Molar Conductivity $(S \ cm^{2} \ mol^{-1})$	Molar Conductivity $(S \ m^{2} \ mol^{-1})$
$1.000$	$1000$	$0.1113$	$11.13$	$111.3$	$111.3 \times 10^{-4}$
$0.100$	$100.0$	$0.0129$	$1.29$	$129.0$	$129.0 \times 10^{-4}$
$0.010$	$10.00$	$0.00141$	$0.141$	$141.0$	$141.0 \times 10^{-4}$