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The molar conductivity of a conductivity cell filled with 10 moles of 20 mL NaCl solution is Λ m 1 and that of 20 moles another identical cell heaving 80 mL NaCl solution is Λ m 2 , The conductivities exhibited by these two cells are same. The relationship between Λ m 2 and Λ m 1 is

Options

  1. AΛ m 2 = 2 Λ m 1
  2. BΛ m 2 = Λ m 1 / 2
  3. CΛ m 2 = Λ m 1
  4. DΛ m 2 = 4 Λ m 1

Correct answer

A. Λ m 2 = 2 Λ m 1

Step-by-step solution

Λ m = κ × 1000 M ⇒ Λ m ∝ 1 M Λ m 1 Λ m 2 = M 2 M 1 = 20 80 10 20 = 1 4 × 2 1 = 1 2 ⇒ Λ m 2 = 2 Λ m 1

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