Question

The conductivity k (in S $m^{-1}$) is related with molar conductivity ${\Lambda }_m$ (in S $m^{2}mo{l}^{-1})$ by the relation (M is molarity in mol m${}^{-3}$):

• A. $k=\frac{{\Lambda }_m\times 1000}{M}$
• B. $k=\frac{{\Lambda }_m\times {10}^7}{M}$
• C. $k=\frac{{\Lambda }_m\times M}{1000}$
• D. $k={\Lambda }_m\times M$

Answer 1

Answer: (D)

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

The conductivity k (in S m${}^{-1}$) is related to molar conductivity A (in S m${}^2$ mol${}^{-1})$ by the relation $k={\Lambda }_m\times M$.

When we substitute units in this reaction, that the units on the left-hand side of the equation and the units on the right-hand side of the equation are same.

$S/m=S{m}^2/mol\times mol/m^3$