JEE Main 2021 · 17 March · morning · Single correct · +4 / −1

The correct order of conductivity of ions in water is :

  1. (a) K⁺ > Na⁺ > Cs⁺ > Rb⁺
  2. (b) Cs⁺ > Rb⁺ > K⁺ > Na⁺
  3. (c) Na⁺ > K⁺ > Rb⁺ > Cs⁺
  4. (d) Rb⁺ > Na⁺ > K⁺ > Li⁺
Answer and solution

Answer (b) Cs⁺ > Rb⁺ > K⁺ > Na⁺

Solution

Chemistry ma’am · 3 steps

In water, an ion moves with its hydration shell, so the smallest bare ion ends up the slowest.

  1. Ions carry water. In water, every cation pulls a shell of water molecules around itself and drags it along as it moves. What decides its speed is the size of this hydrated ion, not the bare ion.
  2. Small means more water. A smaller bare ion has a higher charge density, so it holds more water molecules more tightly. Going down the group from Na⁺ to Cs⁺, the bare ion grows and hydration gets weaker.
    IonBare ion sizeExtent of hydrationHydrated sizeMobility and conductivity
    Na⁺smallestmostlargestlowest
    K⁺largerlesssmallerhigher
    Rb⁺larger stillless stillsmaller stillhigher still
    Cs⁺largestleastsmallesthighest
  3. So. A smaller hydrated ion moves faster and conducts better, so the order is Cs⁺ > Rb⁺ > K⁺ > Na⁺, which is option (b).

The idea to keep. For ionic conductivity in water, think of the hydrated ion. The smaller the bare ion, the bigger its water shell, and the slower it moves.

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.