MCQMediumJEE 2025Nernst Equation

JEE Chemistry 2025 Question with Solution

Based on the data given below: ECr2O72/Cr3+=1.33V,ECl2/Cl=1.36V,EMnO4/Mn2+=1.51V,ECr3+/Cr=0.74V.E^\circ_{Cr_2O_7^{2-}/Cr^{3+}} = 1.33 \, V, \quad E^\circ_{Cl_2/Cl^-} = 1.36 \, V, \quad E^\circ_{MnO_4^-/Mn^{2+}} = 1.51 \, V, \quad E^\circ_{Cr^{3+}/Cr} = -0.74 \, V. The strongest reducing agent is:

  • A

    Mn2+Mn^{2+}

  • B

    MnO4MnO_4^-

  • C

    CrCr

  • D

    ClCl^-

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: The standard reduction potentials are

ECr2O72/Cr3+=1.33VE^\circ_{Cr_2O_7^{2-}/Cr^{3+}} = 1.33 \, V ECl2/Cl=1.36VE^\circ_{Cl_2/Cl^-} = 1.36 \, V EMnO4/Mn2+=1.51VE^\circ_{MnO_4^-/Mn^{2+}} = 1.51 \, V ECr3+/Cr=0.74VE^\circ_{Cr^{3+}/Cr} = -0.74 \, V

Find: The strongest reducing agent.

A strongest reducing agent is the species that most readily loses electrons. Hence, we look for the species corresponding to the most negative standard reduction potential.

From the given values:

  • MnO4MnO_4^- is associated with E=1.51VE^\circ = 1.51 \, V, so it behaves as a strong oxidizing agent.
  • Cr3+/CrCr^{3+}/Cr has E=0.74VE^\circ = -0.74 \, V, so CrCr tends to get oxidized and therefore acts as a reducing agent.

Thus, among the given species, CrCr is the strongest reducing agent.

The solution marks option A and states Mn2+Mn^{2+}, but this contradicts the electrode-potential criterion and the listed data. Therefore, the most defensible option from the given data is C.

Checking each option

Given: Standard reduction potentials are provided.

Find: Which listed species is the strongest reducing agent.

A reducing agent itself undergoes oxidation. Therefore, the stronger the reducing agent, the less favorable its reduction and the more negative the corresponding reduction potential.

  1. Option A: Mn2+Mn^{2+}
  • It is the reduced form in the pair MnO4/Mn2+MnO_4^-/Mn^{2+}.
  • Since E=1.51VE^\circ = 1.51 \, V is highly positive, the forward reduction favors formation of Mn2+Mn^{2+}, meaning MnO4MnO_4^- is a strong oxidizing agent.
  • So Mn2+Mn^{2+} is not the strongest reducing agent here.
  1. Option B: MnO4MnO_4^-
  • A species with very positive reduction potential is an oxidizing agent, not a reducing agent.
  1. Option C: CrCr
  • For Cr3++3eCrCr^{3+} + 3e^- \rightarrow Cr,
E=0.74VE^\circ = -0.74 \, V
  • This negative value means the reverse process, oxidation of CrCr, is favorable relative to the others listed. Hence CrCr acts as a reducing agent.
  1. Option D: ClCl^-
  • The pair Cl2/ClCl_2/Cl^- has a positive potential 1.36V1.36 \, V, showing Cl2Cl_2 is an oxidizing agent. This does not make ClCl^- stronger than CrCr as a reducing agent based on the given data.

Therefore, the correct choice based on the electrochemical data is option C, CrCr.

Common mistakes

  • Choosing the species from the half-cell with the most positive EE^\circ as the strongest reducing agent. This is wrong because a highly positive reduction potential indicates a strong oxidizing agent. Instead, identify the species that would be oxidized most easily, corresponding to the most negative relevant reduction potential.

  • Treating the reduced product of a strong oxidizing half-reaction, such as Mn2+Mn^{2+} from MnO4/Mn2+MnO_4^- / Mn^{2+}, as automatically the strongest reducing agent. This is incorrect because the given positive reduction potential reflects the oxidizing strength of MnO4MnO_4^-, not the reducing strength of Mn2+Mn^{2+}.

  • Ignoring the sign of EE^\circ for Cr3+/CrCr^{3+}/Cr. The negative value 0.74V-0.74 \, V is the key clue that metallic CrCr tends to undergo oxidation and hence behaves as a reducing agent. Always compare the sign and meaning of the listed reduction potentials.

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