MCQMediumJEE 2026Nernst Equation

JEE Chemistry 2026 Question with Solution

In the given electrochemical cell, Ag(s)AgCl(s)FeCl2(aq),FeCl3(aq)Pt(s)Ag(s) | AgCl(s) | FeCl_2(aq), FeCl_3(aq) | Pt(s) at 298K298 \, \text{K}, the cell potential (EcellE_{cell}) will increase when:

A. Concentration of Fe2+Fe^{2+} is increased.

B. Concentration of Fe3+Fe^{3+} is decreased.

C. Concentration of Fe2+Fe^{2+} is decreased.

D. Concentration of Fe3+Fe^{3+} is increased.

E. Concentration of ClCl^- is increased.

Choose the correct answer from the options given below :

  • A

    A and E Only

  • B

    B Only

  • C

    C, D and E Only

  • D

    A and B Only

Answer

Correct answer:C

Step-by-step solution

Standard Method

Given: The electrochemical cell is Ag(s)AgCl(s)FeCl2(aq),FeCl3(aq)Pt(s)Ag(s) | AgCl(s) | FeCl_2(aq), FeCl_3(aq) | Pt(s) at 298K298 \, \text{K}.

Find: Which change increases the cell potential EcellE_{cell}.

The solution uses the Nernst equation. To increase cell potential, the reaction quotient QQ must decrease.

Anode reaction:

Ag(s)+Cl(aq)AgCl(s)+eAg(s) + Cl^-(aq) \rightarrow AgCl(s) + e^-

Cathode reaction:

Fe3+(aq)+eFe2+(aq)Fe^{3+}(aq) + e^- \rightarrow Fe^{2+}(aq)

Net reaction:

Ag(s)+Cl(aq)+Fe3+(aq)AgCl(s)+Fe2+(aq)Ag(s) + Cl^-(aq) + Fe^{3+}(aq) \rightarrow AgCl(s) + Fe^{2+}(aq)

Therefore,

Ecell=Ecell0.0591log[Fe2+][Cl][Fe3+]E_{cell} = E^\circ_{cell} - \frac{0.059}{1} \log \frac{[Fe^{2+}]}{[Cl^-][Fe^{3+}]}

So,

Q=[Fe2+][Cl][Fe3+]Q = \frac{[Fe^{2+}]}{[Cl^-][Fe^{3+}]}

Now check each statement:

  • Decreasing [Fe2+][Fe^{2+}] decreases QQ, so EcellE_{cell} increases.
  • Increasing [Fe3+][Fe^{3+}] decreases QQ, so EcellE_{cell} increases.
  • Increasing [Cl][Cl^-] decreases QQ, so EcellE_{cell} increases.

Hence statements C, D and E are correct.

Therefore, the correct option is C.

Use Reaction Quotient Directly

Given: The cell potential depends on the reaction quotient.

Find: Which concentration changes make EcellE_{cell} larger.

From the net reaction, the quotient is

Q=[Fe2+][Cl][Fe3+]Q = \frac{[Fe^{2+}]}{[Cl^-][Fe^{3+}]}

A smaller QQ gives a larger EcellE_{cell} in the Nernst equation.

So the voltage increases when the numerator decreases or the denominator increases:

  • decrease [Fe2+][Fe^{2+}],
  • increase [Fe3+][Fe^{3+}],
  • increase [Cl][Cl^-].

Therefore, the correct option is C, corresponding to C, D and E Only.

Common mistakes

  • Assuming that increasing any ion concentration always increases cell potential is incorrect. You must first write the reaction quotient QQ and then see whether the species is in the numerator or denominator.

  • Reversing the role of Fe2+Fe^{2+} and Fe3+Fe^{3+} in QQ leads to the wrong trend. Here Fe2+Fe^{2+} is a product and appears in the numerator, while Fe3+Fe^{3+} is a reactant and appears in the denominator.

  • Ignoring ClCl^- is a conceptual error because it participates in the silver-silver chloride electrode reaction. Since ClCl^- appears in the denominator of QQ, increasing it increases EcellE_{cell}.

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