Resistance and conductivity of a cell containing 0.001 M KCl solution at 298 K are $1500\Omega$ and $1.46\times {10}^{-4}S.c{m}^{-1}$ respectively. What is the cell constant ?

The correct option is A $0.219c{m}^{-1}$
$R=1500\Omega$ (Resistance)

$k=1.46\times {10}^{-4}Sc{m}^{-1}$ (Conductivity)

$T=298K$

We will use the formula, $k=Gx$

where $k$ is conductivity

$G$ is $\frac{1}{R}$

$x$ is cell constant

$1.46\times {10}^{-4}=\frac{1}{1500}\times x$

$1.46\times {10}^{-4}\times 1500=x$

$0.219c{m}^{-1}=x$

The cell constant is $0.219c{m}^{-1}$