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Question of 115

Q.(i) Represent the galvanic cell in which the given reaction take place :

(1)
Zn(s) + Cu2+(aq) -> Zn2+(aq) + Cu(s)
(ii) Calculate the equilibrium constant for the reaction
(2)
Cu(s) + 2Ag+(aq) -> Cu2+(aq) + 2Ag(s)
Given that E° cell = 0.46 V
Himachal HpboseHPBOSE Plus Two Board 2026Subjective· 3mImportance★★★★★
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(i) The galvanic cell for Zn + Cu²⁺ → Zn²⁺ + Cu is written Zn(s)|Zn²⁺(aq)||Cu²⁺(aq)|Cu(s). (ii) Using the Nernst equation at equilibrium (E_cell = 0) with n = 2 and E°cell = 0.46 V, log K = nE°/0.0591 ≈ 15.57, giving K ≈ 3.7 × 10¹⁵.

(i) Cell representation

By convention, the anode (oxidation, left) is written first, then a single vertical line (phase boundary), then the salt bridge (double line), then the cathode (reduction, right):

  • Anode (oxidation): Zn(s)→Zn2+(aq)+2e−Zn(s) \rightarrow Zn^{2+}(aq) + 2e^-
  • Cathode (reduction): Cu2+(aq)+2e−→Cu(s)Cu^{2+}(aq) + 2e^- \rightarrow Cu(s)

Zn(s) ∣ Zn2+(aq) ∣∣ Cu2+(aq) ∣ Cu(s)\boxed{Zn(s)\,|\,Zn^{2+}(aq)\,||\,Cu^{2+}(aq)\,|\,Cu(s)}

(ii) Equilibrium constant for Cu(s) + 2Ag⁺(aq) → Cu²⁺(aq) + 2Ag(s), given E°cell = 0.46 V

Number of electrons transferred, n = 2 (Cu loses 2 electrons; each Ag⁺ gains 1 electron, ×2).

At 298 K, the relation between the standard cell potential and the equilibrium constant is:

log⁡K=nEcell∘0.0591\log K = \frac{nE^\circ_{cell}}{0.0591}

Substituting n = 2, E° = 0.46 V: …

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