Question

If X is the specific resistance $(in{S}^{-1}.cm)$ of the electrolytic solution and Y is the molarity of the solution then ${\Lambda }_m(inS.c{m}^2.mo{l}^{-1})$ is given by :

• A. $\frac{1000\times X}{Y}$
• B. $\frac{1000\times Y}{X}$
• C. $\frac{1000}{X\times Y}$
• D. $\frac{X\times Y}{1000}$

Answer 1

Answer: (C)

$\frac{1000}{X\times Y}$

${\Lambda }_m=\frac{\kappa \times 1000}{M}\Rightarrow \frac{1}{\rho }\times \frac{1}{M}\times 1000$;
${\Lambda }_m=\frac{1000}{XY}$ [Option (C)]