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An infinitely dilute aqueous solution of a weak acid HA has a specific conductivity of ₁ at a given temperature. An equal volume of pure water at the same temperature is added to this solution, and the new specific conductivity is measured as ₂ . Which of the following relationships is correct?

Options

  1. A₂ = ₁
  2. B₂ = ₁ 2
  3. C₂ = 2 ₁
  4. D₂ = ₁ 4

Correct answer

B. ₂ = ₁ 2

Step-by-step solution

At infinite dilution, a weak electrolyte is already completely dissociated ( 1 ). Therefore, the total number of ions in the solution is constant and has reached its maximum value. Specific conductivity ( ) is the conductance of a unit volume of the solution, which is directly proportional to the number of ions per unit volume. When an equal volume of water is added, the total volume of the solution is doubled. Since the total number of ions remains unchanged, the number of ions per unit volume is exactly halved. T

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