Question

The equivalent conductance of $NaCl$ at concentration $C$ and at infinite dilution are ${\lambda }_C$ and ${\lambda }_{\infty }$, respectively. The correct relationship between ${\lambda }_C$ and ${\lambda }_{\infty }$ is given as (where, the constant $B$ is positive):

• A. ${\lambda }_C={\lambda }_{\infty }+\left(B\right)C$
• B. ${\lambda }_C={\lambda }_{\infty }-\left(B\right)C$
• C. ${\lambda }_C={\lambda }_{\infty }-\left(B\right)\sqrt{C}$
• D. ${\lambda }_C={\lambda }_{\infty }+\left(B\right)\sqrt{C}$

Answer 1

The correct option is C ${\lambda }_C={\lambda }_{\infty }-\left(B\right)\sqrt{C}$

According to Debye Huckel Onsager equation,
${\lambda }_C={\lambda }_{\infty }-\left(B\right)\sqrt{C}$
Where,
${\lambda }_C=\text{Limiting equivalent conductivity at concentration C}$
${\lambda }_{\infty }=\text{Limiting equivalent conductivity at infinite dilution}$