JEE Main 2021 · 26 August · morning · Single correct · +4 / −1

Given below are two statements :
Statement I : The limiting molar conductivity of KCl (strong electrolyte) is higher compared to that of CH₃COOH (weak electrolyte).
Statement II : Molar conductivity decreases with decrease in concentration of electrolyte.
In the light of the above statements, choose the most appropriate answer from the options given below :

  1. (a) Statement I is true but Statement II is false.
  2. (b) Statement I is false but Statement II is true.
  3. (c) Both Statement I and Statement II are true.
  4. (d) Both Statement I and Statement II are false.
Answer and solution

Answer (d) Both Statement I and Statement II are false.

Solution

Chemistry ma’am · 4 steps

At infinite dilution both are fully ionised, so only ion speed matters, and H⁺ is the fastest ion.

  1. Statement I. Limiting molar conductivity Λₘ° is measured at infinite dilution, where even a weak electrolyte is fully dissociated. So strong or weak no longer matters. Only how fast the ions move does, and H⁺ moves much faster than K⁺.
    ElectrolyteIonsΛₘ° (S cm² mol⁻¹)
    KCl73.5 + 76.3about 150
    CH₃COOH349.6 + 40.9about 390
  2. So I is false. CH₃COOH has the higher limiting molar conductivity, not KCl.
  3. Statement II. Molar conductivity increases as concentration decreases. A strong electrolyte has less interionic attraction on dilution, and a weak electrolyte dissociates more. So Statement II is false.
  4. So. Both statements are false, which is option (d).

The idea to keep. Strong or weak affects Λₘ at real concentrations, not Λₘ°. At infinite dilution, compare ion mobilities. And molar conductivity always rises on dilution.

Answer from the NTA final answer key. Solution by PrepWiser.

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Asked about 170 times in JEE Main since 2020. This question is from 2021.