Question

A $0.1$ M solution of a monobasic acid has a specific resistance of 'r' ohm-cm. Its molar conductivity is:

• A. $\frac{10}{r}$
• B. $10r$
• C. $\frac{{10}^4}{r}$
• D. $\frac{{10}^4}{2r}$

Answer 1

The correct option is C $\frac{{10}^4}{r}$

The specific conductance is inversely proportional to the specific resistance $(k=\frac{1}{r})$. The relationship between the molar conductivity and the specific conductance is ${\Lambda }_m=\frac{\kappa \times 1000}{M}$.
Substitute $k=\frac{1}{r}$ and $M=0.1M$ in the above equation,
${\Lambda }_m=\frac{\frac{1}{r}\times 1000}{0.1}=\frac{{10}^4}{r}$

Hence, option $C$ is correct.