A conductivity cell dipped on 0.05 M KCl has resistance 600 ohm . If conductivity is $0.0015…

A conductivity cell dipped on 0.05 M KCl has resistance 600 ohm . If conductivity is $0.0015 \mathrm{ohm}^{-1} \mathrm{~cm}^{-1}$. What is the value of cell constant?
  1. $0.47 \mathrm{~cm}^{-1}$
  2. $0.90 \mathrm{~cm}^{-1}$
  3. $1.5 \mathrm{~cm}^{-1}$
  4. $2.5 \mathrm{~cm}^{-1}$

Solution

$\begin{aligned} \mathrm{k} & =\frac{1}{\mathrm{R}} \frac{\mathrm{l}}{\mathrm{a}} \\ \mathrm{k} & =\frac{\mathrm{b}}{\mathrm{R}} \\ \mathrm{b} & =\mathrm{k} \times \mathrm{R}=0.0015 \mathrm{ohm}^{-1} \mathrm{~cm}^{-1} \times 600 \mathrm{ohm} \\ & =0.90 \mathrm{~cm}^{-1}\end{aligned}$

Asked in: MHT CET 2024 (03 May Shift 2)

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