The molar conductivity of a conductivity cell filled with $10$ moles of $20mLNaCl$ solution is ${Λ}_{m1}$ and that of $20$ moles another identical cell heaving $80mLNaCl$ solution is ${Λ}_{m2}$ , The conductivities exhibited by these two cells are same.
The relationship between ${Λ}_{m2}$ and ${Λ}_{m1}$ is

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The molar conductivity of a conductivity cell filled with $10$ moles of $20mLNaCl$ solution is ${Λ}_{m1}$ and that of $20$ moles another identical cell heaving $80mLNaCl$ solution is ${Λ}_{m2}$ , The conductivities exhibited by these two cells are same.

The relationship between ${Λ}_{m2}$ and ${Λ}_{m1}$ is

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Correct answer: A. Λ _ m2 = 2 Λ _ m1

Λ _ m = κ × (1000)/(M) ⇒ Λ _ m ∝ (1)/(M) Λ _ m1 Λ _ m2 = M _ 2 M _ 1 = ((20)/(80))/((10)/(20)) = (1)/(4) × (2)/(1) = (1)/(2) ⇒ Λ _ m2 = 2 Λ _ m1

The molar conductivity of a conductivity cell filled with 10 moles...

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