Cell constant of a conductivity cell is $0.9 \mathrm{~cm}^{-1}$ and resistance shown by $\mathrm{AgNO}_3$…

Cell constant of a conductivity cell is $0.9 \mathrm{~cm}^{-1}$ and resistance shown by $\mathrm{AgNO}_3$ solution is 6530 ohm. What is the conductivity of $\mathrm{AgNO}_3$ solution?
  1. $725 \Omega^{-1} \mathrm{~cm}^{-1}$
  2. $5870 \Omega^{-1} \mathrm{~cm}^{-1}$
  3. $1.38 \times 10^{-4} \Omega^{-1} \mathrm{~cm}^{-1}$
  4. $4.72 \times 10^{-4} \Omega^{-1} \mathrm{~cm}^{-1}$

Solution

$\begin{aligned} \text { Conductivity }(\mathrm{k}) & =\frac{\text { Cell constant }}{\mathrm{R}}=\frac{0.9 \mathrm{~cm}^{-1}}{6530 \Omega} \\ & =1.38 \times 10^{-4} \Omega^{-1} \mathrm{~cm}^{-1}\end{aligned}$

Asked in: MHT CET 2024 (11 May Shift 2)

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