JEE Main · 2021 · Shift-IIeasyPERI-029

The correct order of ionic radii for the ions P3-, S2-, Ca2+, K+, Cl- is:

Classification of Elements & Periodicity · Class 11 · JEE Main Previous Year Question

Question

The correct order of ionic radii for the ions P3^{3-}, S2^{2-}, Ca2+^{2+}, K+^+, Cl^- is:

Options
  1. a

    \ceP3>\ceS2>\ceCl>\ceK+>\ceCa2+\ce{P^{3-}} > \ce{S^{2-}} > \ce{Cl^-} > \ce{K^+} > \ce{Ca^{2+}}

  2. b

    \ceP3>\ceS2>\ceCl>\ceCa2+>\ceK+\ce{P^{3-}} > \ce{S^{2-}} > \ce{Cl^-} > \ce{Ca^{2+}} > \ce{K^+}

  3. c

    \ceCl>\ceS2>\ceP3>\ceCa2+>\ceK+\ce{Cl^-} > \ce{S^{2-}} > \ce{P^{3-}} > \ce{Ca^{2+}} > \ce{K^+}

  4. d

    \ceK+>\ceCa2+>\ceP3>\ceS2>\ceCl\ce{K^+} > \ce{Ca^{2+}} > \ce{P^{3-}} > \ce{S^{2-}} > \ce{Cl^-}

Correct Answera

\ceP3>\ceS2>\ceCl>\ceK+>\ceCa2+\ce{P^{3-}} > \ce{S^{2-}} > \ce{Cl^-} > \ce{K^+} > \ce{Ca^{2+}}

Detailed Solution

🧠 Five ions, all carrying 18 electrons — Z decides the ranking \ceP3\ce{P^{3-}} (Z=15Z=15), \ceS2\ce{S^{2-}} (Z=16Z=16), \ceCl\ce{Cl^-} (Z=17Z=17), \ceK+\ce{K^+} (Z=19Z=19), \ceCa2+\ce{Ca^{2+}} (Z=20Z=20). Same 18-electron cloud throughout. The only thing that changes is how many protons squeeze that cloud. Fewer protons → looser cloud → bigger ion.

🗺️ Rank from largest to smallest by increasing Z Start with the lowest Z: \ceP3\ce{P^{3-}} has only 15 protons holding 18 electrons → biggest. Add one proton at a time: \ceS2\ce{S^{2-}} (16), \ceCl\ce{Cl^-} (17), \ceK+\ce{K^+} (19), \ceCa2+\ce{Ca^{2+}} (20) → smallest.

Decreasing size: \ceP3>\ceS2>\ceCl>\ceK+>\ceCa2+\ce{P^{3-}} > \ce{S^{2-}} > \ce{Cl^-} > \ce{K^+} > \ce{Ca^{2+}}.

⚠️ The trap Option (b) swaps the last two: \ceCa2+>\ceK+\ce{Ca^{2+}} > \ce{K^+}. Many students think "Ca is below K in size in the periodic table" — that is true for the neutral atoms. But for the ions, \ceCa2+\ce{Ca^{2+}} has lost more electrons AND has more protons. So \ceCa2+\ce{Ca^{2+}} is the smallest, not \ceK+\ce{K^+}.

Answer: (a)\boxed{\text{Answer: (a)}}

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