Which of the following is the correct relationship between molar conductivity $(\Lambda_m)$,conductivity $(k)$,and molarity $(M)$ of a solution for an electrolyte?

  • A
    $k = \frac{\Lambda_m \times M}{1000}$
  • B
    $\Lambda_m = \frac{1000 \times k}{M}$
  • C
    $\Lambda_m = \frac{k \times M}{1000}$
  • D
    $k = \frac{1000 \times M}{\Lambda_m}$

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The resistance of a conductivity cell containing $0.01 \, M \, KCl$ solution at $298 \, K$ is $1750 \, \Omega$. If the conductivity of $0.01 \, M \, KCl$ solution at $298 \, K$ is $0.152 \times 10^{-3} \, S \, cm^{-1}$,then the cell constant of the conductivity cell is $.......... \, \times 10^{-3} \, cm^{-1}$.

Resistance of a conductivity cell filled with a solution of an electrolyte of concentration $0.1 \, M$ is $100 \, \Omega .$ The conductivity of this solution is $1.29 \, S \, m^{-1}.$ Resistance of the same cell when filled with $0.2 \, M$ of the same solution is $520 \, \Omega .$ The molar conductivity of $0.2 \, M$ solution of electrolyte will be..........$\times 10^{-4} \, S \, m^2 \, mol^{-1}$

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