A conductivity cell shows resistance of $600 \mathrm{ohm}$. If conductivity of $0.01 \mathrm{M}…

A conductivity cell shows resistance of $600 \mathrm{ohm}$. If conductivity of $0.01 \mathrm{M} \mathrm{KCl}$ is $0.0015 \Omega^{-1} \mathrm{~cm}^{-1}$, what is cell constant?
  1. $0.60 \mathrm{~cm}^{-1}$
  2. $0.45 \mathrm{~cm}^{-1}$
  3. $0.90 \mathrm{~cm}^{-1}$
  4. $75 \mathrm{~cm}^{-1}$

Solution

$\begin{aligned} & \mathrm{R}=600 \Omega, \mathrm{k}_{\mathrm{KCl}}=0.0015 \Omega^{-} \mathrm{cm}^{-1}, \mathrm{c}=0.01 \mathrm{M} \text { Cell constant }= \\ & \mathrm{k}_{\mathrm{KCl}} \times \mathrm{R}_{\text {solution }}=0.0015 \Omega^{-1} \mathrm{~cm}^{-1} \times 600 \Omega=0.90 \mathrm{~cm}^{-1} \end{aligned}$

Asked in: MHT CET 2021 (20 Sep Shift 2)

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