Start Learning Free

Before You Begin

Question #44502

Difficulty: 8/10 | 🟢 Free

The Question

An electrochemical cell is constructed using Platinum electrodes in an aqueous buffer solution at 298 K298\text{ K} and pH=4.0\text{pH} = 4.0. The solution contains 2.0 M \ceCH3COOK2.0\text{ M } \ce{CH3COOK} and 10−3 M \ceMn(CH3COO)210^{-3}\text{ M } \ce{Mn(CH3COO)2}. The applied voltage is gradually increased from 0 V0\text{ V}.

Given the following standard reduction potentials at 298 K298\text{ K}: E∘(\ceC2H6(g),\ceCO2(g)/\ceCH3COO−)=+2.15 VE^\circ(\ce{C2H6(g)}, \ce{CO2(g)} / \ce{CH3COO^-}) = +2.15\text{ V} E∘(\ceO2(g)/\ceH2O(l))=+1.23 VE^\circ(\ce{O2(g)} / \ce{H2O(l)}) = +1.23\text{ V} E∘(\ceMnO2(s)/\ceMn2+,\ceH+)=+1.23 VE^\circ(\ce{MnO2(s)} / \ce{Mn^{2+}}, \ce{H^+}) = +1.23\text{ V}

Assume the overpotential for Kolbe electrolysis on Pt is 0.10 V0.10\text{ V}, for \ceO2\ce{O2} evolution is 0.60 V0.60\text{ V}, and for \ceMnO2\ce{MnO2} deposition is negligible. Identify the first major product formed at the anode and the minimum anodic potential (vs SHE) required for its formation. (Take 2.303RTF=0.06 V\frac{2.303 RT}{F} = 0.06\text{ V} and assume partial pressures of all gases to be 1 bar1\text{ bar})

Options

  • A.

    \ceC2H6(g)\ce{C2H6(g)} at +2.23 V+2.23\text{ V}

  • B.

    \ceO2(g)\ce{O2(g)} at +1.59 V+1.59\text{ V}

  • C.

    \ceMnO2(s)\ce{MnO2(s)} at +0.84 V+0.84\text{ V}

  • D.

    \ceMnO2(s)\ce{MnO2(s)} at +1.62 V+1.62\text{ V}

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

Kolbe’s Electrolysis Mechanism|Electrode Potential Dependencies|Gibbs Energy and Spontaneity

Why This Question Is Tricky

Common Mistakes

The problem tests the student's ability to look beyond the standard 'Kolbe Electrolysis' memorization trap.

While high concentrations of carboxylate and Pt electrodes typically favor Kolbe electrolysis, the presence of a competing redox-active metal ion (\ceMn2+\ce{Mn^{2+}}) introduces a massive Nernstian shift.

Because the oxidation of \ceMn2+\ce{Mn^{2+}} to \ceMnO2\ce{MnO2} is highly pH-dependent (involving 4 protons for 2 electrons), at pH=4.0\text{pH} = 4.0, its oxidation potential drops significantly below both the Kolbe discharge potential and the oxygen evolution potential.

Students who fail to evaluate the thermodynamic potentials of all competing species will incorrectly assume ethane or oxygen as the primary product, or invert the Nernst reaction quotient (Option D).

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterHydrocarbons - Class 11 Part 2
ConceptKolbe’s Electrolysis Mechanism
Difficulty8
Cognitive Load7
Target Solve Time160 sec
AccessFree