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NEET CHEMISTRYMedium

What is the correct order of ionic mobility of the following ions in an aqueous solution?

A

K+>Na+>Rb+>Cs+\text{K}^+ > \text{Na}^+ > \text{Rb}^+ > \text{Cs}^+

B

Cs+>Rb+>K+>Na+\text{Cs}^+ > \text{Rb}^+ > \text{K}^+ > \text{Na}^+

C

Rb+>K+>Cs+>Na+\text{Rb}^+ > \text{K}^+ > \text{Cs}^+ > \text{Na}^+

D

Na+>K+>Rb+>Cs+\text{Na}^+ > \text{K}^+ > \text{Rb}^+ > \text{Cs}^+

Step-by-Step Solution

In an aqueous solution, the degree of hydration of an ion depends on its charge density (charge-to-size ratio). The sizes of the bare alkali metal ions increase down the group: Na+<K+<Rb+<Cs+\text{Na}^+ < \text{K}^+ < \text{Rb}^+ < \text{Cs}^+. As a result, the smaller Na+\text{Na}^+ ion is the most extensively hydrated, forming the largest hydrated ion, whereas the larger Cs+\text{Cs}^+ ion is the least hydrated, forming the smallest hydrated ion. Since ionic mobility is inversely proportional to the effective size of the hydrated ion, the smallest hydrated ion (Cs+\text{Cs}^+) will have the highest mobility, and the largest hydrated ion (Na+\text{Na}^+) will have the lowest mobility. Therefore, the correct order of ionic mobility in aqueous solution is Cs+>Rb+>K+>Na+\text{Cs}^+ > \text{Rb}^+ > \text{K}^+ > \text{Na}^+.

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