Question

Define molar conductivity. How it is related with conductivity.

Answer 1

Molar Conductivity: The conductance of $1$ mole solution of an electrolyte is known as molar conductance. It is denoted by ${\Lambda }_m$.

The molar conductivity ${\Lambda }_m$ of an electrolyte may be defined as the conductance of a volume of a solution containing one mole of a dissolved substance.

Relation with Conductivity: Conductance of $1ml$ of solution is conductivity (k)

Conductance of $1ml$ electrolyte $=k$

Conductance of $100ml$ electrolyte $=1000k$

$M=\frac{n}{V}=\frac{n}{1000n{C}_r}$

$M=n$

Conductance of $Mmoles=1000k$

Conductance of $Mmoles=\frac{1000k}{M}$

And conductance of $1mole$ solution of electrolyte is ${\Lambda }_m$

${\Lambda }_m=\frac{1000\times k}{M}$