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Question #44837

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The Question

The oxidation of 1-phenylpropan-1-ol by \ce{KMnO4} proceeds via two competing kinetic pathways: Pathway I: Targeted oxidation of the secondary alcohol to propiophenone. Pathway II: Oxidative cleavage of the alkyl side-chain to yield benzoic acid.

According to the Bell-Evans-Polanyi principle, the activation energies (EaE_a, in kJ/mol) for these pathways are linearly dependent on the effective reduction potential (EredE_{red}, in V) of the permanganate half-cell: Ea,I=60−10EredE_{a,I} = 60 - 10 E_{red} Ea,II=105−40EredE_{a,II} = 105 - 40 E_{red}

The dominant reduction half-reaction in the mildly acidic regime is: \ce{MnO4^- + 4H^+ + 3e^- -> MnO2(s) + 2H2O} \quad E∘=1.70 VE^\circ = 1.70 \text{ V}

Assuming standard concentration for \ce{MnO4^-} (1 M1 \text{ M}) and T=298 KT = 298 \text{ K} (where 2.303RTF=0.06 V\frac{2.303 RT}{F} = 0.06 \text{ V}), at what pH does the kinetic preference switch from oxidative cleavage to targeted alcohol oxidation, and what is the major product at pH = 4.0?

Options

  • A.

    pH = 2.5; Major product at pH 4.0 is Propiophenone

  • B.

    pH = 2.5; Major product at pH 4.0 is Benzoic acid

  • C.

    pH = 3.0; Major product at pH 4.0 is Propiophenone

  • D.

    pH = 3.0; Major product at pH 4.0 is Benzoic acid

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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

Activation Energy Trap|KMnO₄ Redox pH Dependency|Oxidation State Traps

Why This Question Is Tricky

Common Mistakes

This problem tests the intersection of electrochemistry, chemical kinetics, and organic oxidation mechanisms.

Students often memorize the 'rule' that acidic \ce{KMnO4} causes oxidative cleavage of benzylic side-chains to yield benzoic acid.

However, this assumes a sufficiently high thermodynamic driving force (high EredE_{red}) to overcome the higher activation energy of C-C bond cleavage.

By modulating the pH, the Nernstian potential of the \ce{MnO4^-}/\ce{MnO2} couple decreases.

The Bell-Evans-Polanyi principle dictates that as EredE_{red} drops, the activation energy for the more demanding cleavage pathway (Ea,IIE_{a,II}) rises faster than that of simple alcohol oxidation (Ea,IE_{a,I}).

The trap is failing to recognize that at pH > 2.5, the kinetic control shifts, making the milder oxidation product (propiophenone) the major product, thereby bypassing the textbook 'strong oxidant' assumption.

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterChemical Kinetics - Class 12
ConceptActivation Energy Trap
Difficulty8
Cognitive Load7
Target Solve Time160 sec
AccessFree