The resistance of $0.2 \mathrm{M}$ solution of an electrolyte is $30 \mathrm{ohm}$ and conductivity are $1.2…

The resistance of $0.2 \mathrm{M}$ solution of an electrolyte is $30 \mathrm{ohm}$ and conductivity are $1.2 \mathrm{~S} \mathrm{~m}^{-1}$. What is the value of cell constant?
  1. $0.47 \mathrm{~cm}^{-1}$
  2. $0.1 \mathrm{~cm}^{-1}$
  3. $0.36 \mathrm{~cm}^{-1}$
  4. $0.2 \mathrm{~cm}^{-1}$

Solution

$\begin{aligned} & \text { Conductivity }(\mathrm{k})=\frac{1}{\mathrm{R}} \cdot \frac{1}{\mathrm{~A}} \quad \frac{1}{\mathrm{~A}}=\text { cell constant } \\ & \frac{1}{\mathrm{~A}}=\mathrm{k} \times \mathrm{R}=1.2 \times 30 \\ & =36 \mathrm{~m}^{-1} \\ & =\frac{36}{100} \mathrm{~cm}^{-1} \\ & \frac{1}{\mathrm{~A}}=0.36 \mathrm{~cm}^{-1}\end{aligned}$

Asked in: MHT CET 2021 (23 Sep Shift 1)

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