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Question #44274

Difficulty: 8/10 | 🟢 Free

The Question

The octahedral complex \ce[Fe(phen)2(NCS)2]\ce{[Fe(phen)2(NCS)2]} (where phen = 1,10-phenanthroline) exhibits a thermally induced Spin Crossover (SCO) because its crystal field splitting energy (Δo\Delta_o) is approximately equal to the pairing energy (PP). At 77 K77\text{ K}, the complex exists in an enthalpy-minimized state, while at 298 K298\text{ K}, it transitions to an entropy-maximized state. What are the spin-only magnetic moments (μ\mu) of the complex at 77 K77\text{ K} and 298 K298\text{ K}, respectively, and what is the theoretical electronic spin entropy change (ΔSel\Delta S_{el}) for the transition from 77 K77\text{ K} to 298 K298\text{ K} per mole of the complex?

Options

  • A.

    0.00 BM, 4.90 BM, Rln⁡50.00\text{ BM},\ 4.90\text{ BM},\ R \ln 5

  • B.

    4.90 BM, 0.00 BM, −Rln⁡54.90\text{ BM},\ 0.00\text{ BM},\ -R \ln 5

  • C.

    0.00 BM, 2.83 BM, Rln⁡30.00\text{ BM},\ 2.83\text{ BM},\ R \ln 3

  • D.

    4.90 BM, 4.90 BM, 04.90\text{ BM},\ 4.90\text{ BM},\ 0

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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

Magnetic Properties|Crystal Field Splitting (Octahedral)|Ligand Denticity Variations

Why This Question Is Tricky

Common Mistakes

The question tests the 'Spin State Crossover' (SCO) exception in Coordination Chemistry.

Students typically assign a fixed magnetic moment based on the spectrochemical series (assuming phenanthroline always forces a Low-Spin state).

The 'Hidden Variable' is the thermodynamic temperature dependence when Δo≈P\Delta_o \approx P.

The trap exposes the misconception that enthalpy (CFSE) solely dictates the spin state; at higher temperatures, the electronic and vibrational entropy (TΔST\Delta S) overrides the enthalpic penalty of populating anti-bonding ege_g orbitals, driving the transition from diamagnetic to paramagnetic.

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterStructure of Atom - Class 11 Part 1
ConceptMagnetic Properties
Difficulty8
Cognitive Load7
Target Solve Time160 sec
AccessFree