Question

The solubility of a sparingly soluble salt $S$, specific conductance is $K$ and the molar conductance ${\Lambda }_M$ is related as :

• A. $S=\frac{1000\times {\Lambda }_M}{K}$
• B. $S=K\times {\Lambda }_M$
• C. $S=\frac{K}{1000\times {\Lambda }_M}$
• D. $S=\frac{K\times 1000}{{\Lambda }_M}$

Answer 1

The correct option is D $S=\frac{K\times 1000}{{\Lambda }_M}$

Given that

Solubility of sparingly soluble salt $=S$

Specific conductance of the solution $=K$

Molar conductance of the solution $={\Lambda }_M$

Now,

Molar conductance $=\frac{Specificconductance}{Concentrationofthesolution}\times 1000$

$\Rightarrow {\Lambda }_M=\frac{K}{S}\times 1000$

By rearranging the above equation we have -

$S=\frac{K\times 1000}{{\Lambda }_M}$.

$\therefore$ (D) option is correct.