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Resistance of 0.2 M solution of an electrolyte is 5 0 Ω . The specific conductance of the solution is 1.4 S m -1 . The resistance of 0.5 M solution of the same electrolyte is 28 0 Ω . The molar conductivity of 0.5 M solution of the electrolyte in S m 2 mol -1 is :

Options

  1. A5 × 1 0 - 4
  2. B5 × 1 0 - 3
  3. C5 × 1 0 3
  4. D5 × 1 0 2

Correct answer

A. 5 × 1 0 - 4

Step-by-step solution

K = 1 R l a K 0.2 M = 1 5 0 l a ...... (I) K 0.5 M = 1 28 0 l a ...... (II) K 0.5 M K 0.2 M = 1 2 8 0 × 5 0 K 0.5 M = 1.4 2 8 0 × 5 0 = 1 4 Λ m = K C = 1 4 × 1 0.5 × 1 0 3 = 5 × 1 0 - 4 Ω -1 m 2 mol -1 C = concentration in mol/m 3 = 0.5 × 1 0 3 moles/m 3

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