Question

Specific conductance of decimolar solution of potassium chloride $18{}^{\circ }C$ is $1.12S{m}^{-1}$. The resistance of a conductivity cell containing the solution at $18{}^{\circ }C$ was found to be $55ohm$. What is the value of the cell constant?

• A. $50.1m^{-1}$
• B. $45.3m^{-1}$
• C. $61.6m^{-1}$
• D. $30.4m^{-1}$

Answer 1

The correct option is C $61.6m^{-1}$

As given,
$R\left(\text{Resistance}\right)=55\Omega ;G\left(\text{Conductance}\right)=\left(1/55\right)Sk\left(\text{Specific Conductance}\right)=1.12S{m}^{-1}.$
$K_{\text{cell constanst}}=k/G=\frac{1.12S{m}^{-1}}{\left(1/55\right)‘S}=61.6m^{-1}$