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Resistance of a conductivity cell filled with a solution of an electrolyte of concentration 0.1M is 100 Ω.The conductivity of this solution is 1.29 S m–1. Resistance of the same cell when filled with 0.02M of the same solution is 520 Ω. The molar conductivity of 0.02M solution in Sm2 mol–1

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Since cell is same Cell constant remains same.When λ and κ both are in SI units
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Resistance of a conductivity cell filled with a solution of an electrolyte of concentration 0.1M is 100 Ω.The conductivity of this solution is 1.29 S m–1. Resistance of the same cell when filled with 0.02M of the same solution is 520 Ω. The molar conductivity of 0.02M solution in Sm2 mol–1