The resistance of a conductivity cell of 0.1 M KCl solution is 120 ohm and conductivity is $1.64 \times…

The resistance of a conductivity cell of 0.1 M KCl solution is 120 ohm and conductivity is $1.64 \times 10^{-4} \mathrm{~S} \mathrm{~cm}^{-1}$. What is the value of cell constant?
  1. $0.0136 \mathrm{~cm}^{-1}$
  2. $0.0618 \mathrm{~cm}^{-1}$
  3. $0.0196 \mathrm{~cm}^{-1}$
  4. $0.0731 \mathrm{~cm}^{-1}$

Solution

$\begin{aligned} & \text { Conductivity }(\mathrm{k})=\frac{\text { Cell constant }}{\mathrm{R}} \\ & \therefore \quad \text { Cell constant }=\mathrm{k} \times \mathrm{R} \\ & =1.64 \times 10^{-4} \mathrm{~S} \mathrm{~cm}^{-1} \times 120 \Omega \\ & =0.0196 \mathrm{~cm}^{-1} \end{aligned}$

Asked in: MHT CET 2024 (02 May Shift 2)

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