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Question #44564

Difficulty: 8/10 | 🟢 Free

The Question

Two ionization isomers, P and Q, of a coordination complex with the empirical formula \ce{Co(NH3)5(NO2)(SO4)} are dissolved in water at 298 K. A 0.1 M0.1 \text{ M} aqueous solution of isomer P produces a dense white precipitate upon treatment with excess \ce{BaCl2(aq)}, whereas isomer Q produces no precipitate under identical conditions. The standard reduction potentials (E∘E^\circ) for the \ce{Co^{III}} / \ce{Co^{II}} redox couple of the complex cations in these two isomers are experimentally determined to be +0.22 V+0.22 \text{ V} and +0.75 V+0.75 \text{ V} (not necessarily in that order). Based on Crystal Field Theory and the thermodynamic stability of the coordination spheres, identify the correct E∘E^\circ values for isomers P and Q respectively.

Options

  • A.

    EP∘=+0.22 V,EQ∘=+0.75 VE^\circ_P = +0.22 \text{ V}, E^\circ_Q = +0.75 \text{ V}

  • B.

    EP∘=+0.75 V,EQ∘=+0.22 VE^\circ_P = +0.75 \text{ V}, E^\circ_Q = +0.22 \text{ V}

  • C.

    EP∘=+0.75 V,EQ∘=+0.75 VE^\circ_P = +0.75 \text{ V}, E^\circ_Q = +0.75 \text{ V}

  • D.

    EP∘=+0.22 V,EQ∘=+0.22 VE^\circ_P = +0.22 \text{ V}, E^\circ_Q = +0.22 \text{ V}

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Correct Answer

Step-by-Step Solution

Explanation

How the Examiner Thinks

Mechanism_Trap

Don't get tricked by the process! Learn the mechanical traps used in competitive exam questions.

Concepts Behind This Question

Hydrate and Ionization Isomerism|Variable Oxidation State Stability

Why This Question Is Tricky

Common Mistakes

Tests the 'Hidden Variable' of Ligand Field Stabilization Energy (CFSE) modifying standard reduction potentials.

Students often fall into the trap of assuming E∘E^\circ is an intrinsic, immutable property of the \ce{Co^{III}} / \ce{Co^{II}} metal couple (Options C/D) or incorrectly correlate strong-field ligands with a higher tendency to be reduced (Option B).

By linking ionization isomerism to inner-sphere vs outer-sphere ligands, the problem forces students to realize that inner-sphere coordination of a strong-field ligand (\ce{NO2^-}) thermodynamically anchors the high oxidation state via a massive increase in CFSE, drastically lowering its reduction potential compared to when it acts merely as an outer-sphere counter-ion.

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterCoordination Compounds - Class 12
ConceptHydrate and Ionization Isomerism
Difficulty8
Cognitive Load7
Target Solve Time160 sec
AccessFree