Question

What are the units of equivalent conductivity of a solution?

• A. $mhoc{m}^{-1}$
• B. $ohmc{m}^{-1}gequi{v}^{-1}$
• C. $mhoc{m}^{-2}gequi{v}^{-1}$
• D. $mhoc{m}^{2}gequi{v}^{-1}$

Answer 1

The correct option is A $mhoc{m}^{-1}$

$\to$ If 1 $m^3$ of a solution of an electrolyte placed between two large electrodes 1m apart. The cross-sectional area of the solution will be $1m^2$.

$\to$ The conductance of solution will evidently be its specific conductance because we have a one-meter cube of the solution.

$\to$ If $1m^3$ of the solution contains 1 gram equivalent of the electrolyte.

Hence, $Conductance\left(C\right)=SpecificConductance\left(K\right)=EquivalentConductance(\wedge )$

$\to$ As unit of Specific conductance is $S{m}^{-1}$ or $Sc{m}^{-1}$, so the unit of Equivalent Conductance is

$Sc{m}^{-1}$ or $mhoc{m}^{-1}$.

$\to$ $mho$ is reciprocal of $ohm$ & reciprocal of $ohm$ i.e. $oh{m}^{-1}$ is also called $mho$ or $Siemen\left(S\right)$.