Question

For mercury at $0^{\circ }C$ specific conductance,
$K=1.062963\times {10}^{6}S/m$.
(a) If the resistance of a cell containing mercury is $0.243166ohm$, What is the cell constant of the cell?
(b) If the same cell is fixed with $KCl$ solution at $0^{\circ }$, the resistance of the cell is $3.966\times {10}^{4}ohm$. What is the conductivity of $KCl$ solution?
(c) If the average cross-sectional area of the cell is $0.9643m{m}^2$, what is the effective distance between the electrodes?

Answer 1

$K=1.062963\times {10}^6$

$\left(a\right)R=0.243166ohm$

$K=cx=\frac{x}{R}$

$x=\frac{1.062963\times {10}^6}{1}\times 0.243166ohm$

$x=25.8476\times {10}^4{m}^{-1}$

$K=1.062963\times {10}^6$

$\left(b\right)R=3.966\times {10}^{4}ohm$

$K=$

$K=\frac{x}{R}=\frac{25.8476\times {10}^4{m}^{-1}}{3.966\times {10}^6}ohm$

$k=6.517oh{m}^{-1}{m}^{-1}$

$A=0.9643m{m}^2$

$\left(c\right)l=$

$x=25.8476\times {10}^4\times {10}^{-3}m{m}^{-1}$

$l=25.8476\times 0.9643\times 10m{m}^{-1}$

$l=249.2484mm$