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Question #44133

Difficulty: 8/10 | 🟢 Free

The Question

Hydrogen peroxide (\ce{H2O2}) contains a peroxy linkage and can act as both an oxidizing and reducing agent. Consider the following non-standard electrochemical cell at 298 K298\text{ K}:

\cePt(s)∣O2(g,1bar)∣H2O2(aq,0.1M),pH=5∣∣pH=1,H2O2(aq,0.1M)∣Pt(s)\ce{Pt(s) | O2(g, 1 bar) | H2O2(aq, 0.1 M), pH = 5 || pH = 1, H2O2(aq, 0.1 M) | Pt(s)}

Given the standard reduction potentials: E\ceO2/H2O2∘=+0.68 VE^\circ_{\ce{O2/H2O2}} = +0.68\text{ V} E\ceH2O2/H2O∘=+1.77 VE^\circ_{\ce{H2O2/H2O}} = +1.77\text{ V}

Calculate the cell potential (EcellE_{\text{cell}}) at 298 K298\text{ K}. (Assume 2.303RTF=0.059 V\frac{2.303RT}{F} = 0.059\text{ V})

Options

  • A.

    1.267 V1.267\text{ V}

  • B.

    1.090 V1.090\text{ V}

  • C.

    0.913 V0.913\text{ V}

  • D.

    1.326 V1.326\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

Peroxy Linkage Identification|Nernst Equation Concentration Dependence|Electrode Potential Sign Conventions

Why This Question Is Tricky

Common Mistakes

This problem tests the application of the Nernst equation to a compartmentalized disproportionation reaction.

The primary trap is the 'Hidden Variable' of pH dependency.

In a single-beaker disproportionation of H2O2, the H+ ions cancel out, making the overall standard potential seemingly independent of pH.

However, in a divided electrochemical cell, the H+ concentrations at the anode and cathode do not cancel.

Students often erroneously use the standard potential (1.09 V) or fail to account for the [H2O2] concentration from both compartments in the reaction quotient, leading to incorrect Nernstian shifts.

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterRedox Reactions - Class 11 Part 2
ConceptPeroxy Linkage Identification
Difficulty8
Cognitive Load7
Target Solve Time160 sec
AccessFree