Question

The conductance of 0.1 M KCl (conductivity = $x=Oh{m}^{-1}$) is Y.

If the conductance of 0.1 M NaOH filled in the same cell is Z $Oh{m}^{-1}$, the molar conductance of NaOH will be:

• A. ${10}^3\frac{XZ}{Y}$
• B. ${10}^4\frac{XZ}{Y}$
• C. $10\frac{XZ}{Y}$
• D. $0.1\frac{XZ}{Y}$

Answer 1

The correct option is B ${10}^4\frac{XZ}{Y}$

For KCl solution,
$G=Y{ohm}^{-1}\kappa =x{ohm}^{-1}{cm}^{-1}$
The relationship betwen conductance and conductivity is
$\kappa =G\frac{l}{a}$
Substitute values in above equation
$\frac{l}{a}=\frac{k}{G}=\frac{X}{Y}$
For NaCl solution
The conductivity is $\kappa =G\frac{l}{a}=Z\frac{X}{Y}$
The molar conductance is
${\Lambda }_m=\frac{l000\kappa }{C}=\frac{l000\times Z\frac{X}{Y}}{0.1}={10}^4\frac{XZ}{Y}$.