Resistance of a conductivity cell filled with a solution of an electrolyte of concentration 0.1 M is 100Ω 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 Ω. The molar conductivity of 0.02 M solution of the electrolyte will be

# Resistance of a conductivity cell filled with a solution of an electrolyte of concentration 0.1 M is $100\mathrm{\Omega }$ The conductivity of this solution is 1.29 S ${\mathrm{m}}^{-1}$ . Resistance of the same cell when filled with 0.2 M of the same solution is 520 $\mathrm{\Omega }$. The molar conductivity of 0.02 M solution of the electrolyte will be

1. A

2. B

3. C

4. D

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### Solution:

Given and

Cell constant

For 0.02 M solution, we have $\kappa =\frac{K}{R}=\frac{129{\mathrm{m}}^{-1}}{520\mathrm{\Omega }}$ and  +91

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