Start Learning Free

Before You Begin

Question #44297

Difficulty: 8/10 | 🟢 Free

The Question

In aqueous acidic solution at 298 K298\ \text{K}, Plutonium (\cePu\ce{Pu}) exhibits a unique chemical behavior where four oxidation states (+3+3, +4+4, +5+5, and +6+6) can coexist in equilibrium. This multiplicity of accessible oxidation states is fundamentally linked to the anomalously small energy gaps between its successive ionization energies (IE3IE_3, IE4IE_4, IE5IE_5, IE6IE_6) compared to its Lanthanoid congener, Samarium (\ceSm\ce{Sm}).\n\nWhich of the following combinations of quantum mechanical phenomena correctly explains this deviation from standard periodic trends?\n\n\textbf{I.} Direct relativistic effects cause the radial contraction and energetic stabilization of the ss and pp orbitals due to the relativistic mass increase of electrons near the highly charged nucleus.\n\textbf{II.} Indirect relativistic effects result in the radial expansion and energetic destabilization of the 5f5f and 6d6d orbitals due to enhanced screening of the nuclear charge by the contracted inner ss and pp orbitals.\n\textbf{III.} The relativistic contraction of the 7s7s orbital induces a strong inert pair effect, which paradoxically lowers the energy required to remove the 5f5f electrons, thereby decreasing IE3IE_3 and IE4IE_4.\n\textbf{IV.} Unlike the deeply buried 4f4f orbitals in Lanthanoids, the 5f5f orbitals in early Actinoids are spatially extended, allowing them to participate extensively in covalent bonding (e.g., in \cePuO22+\ce{PuO2^2+}).

Options

  • A.

    I, II, and IV only

  • B.

    I, III, and IV only

  • C.

    II and IV only

  • D.

    I, II, III, and IV

Check Your Answer

Correct Answer

Step-by-Step Solution

Explanation

How the Examiner Thinks

Exception_Exposure

Learn to identify edge cases and boundary exceptions that JEE examiners hide in math problems.

Concepts Behind This Question

Successive Ionization Energies|Actinoid Oxidation State Variety|Inert Pair Effect

Why This Question Is Tricky

Common Mistakes

Students often assume that successive ionization energies always increase monotonically with large jumps after the valence s-electrons are removed, similar to Lanthanoids where the 4f electrons are core-like.

The hidden variable here is the 'Indirect Relativistic Effect' in heavy Actinoids.

While direct relativistic effects contract and stabilize s/p orbitals, they indirectly shield the 5f/6d orbitals, causing them to expand and destabilize.

This energetic destabilization of the 5f shell drastically reduces the energy gap between IE3, IE4, and higher IEs, allowing multiple high oxidation states (like +6 in Pu) to exist simultaneously at room temperature.

The trap is Statement III, which misapplies the 'Inert Pair Effect'—a phenomenon that stabilizes lower oxidation states (e.g., Pb +2)—to explain the existence of higher oxidation states, confusing the stabilization of 7s with the destabilization of 5f.

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterClassification of Elements and Periodicity in Properties - Class 11 Part 1
ConceptSuccessive Ionization Energies
Difficulty8
Cognitive Load7
Target Solve Time160 sec
AccessFree