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UPSC Combined Geo-Scientist

Chemist

  • 3 descriptive papers
  • 200 marks each
  • 3 h per paper

Mains Paper II covers physical chemistry.

UPSC Combined Geo-Scientist, Mains · 2024 · Mains Paper II

Q1(i). Zinc–copper cell from two half-reactions

Question

Given: Cu²⁺ + 2e⁻ → Cu; E° = +0.350 V and Zn²⁺ + 2e⁻ → Zn; E° = −0.763 V. Construct the cell using these reactions. (i) Write and balance the total cell reaction. (ii) Find the E° of the cell. (iii) State whether the cell reaction will be spontaneous or not.

Answer in brief

Cell Zn(s) | Zn²⁺(aq) || Cu²⁺(aq) | Cu(s); reaction Zn + Cu²⁺ → Zn²⁺ + Cu; E°cell = 1.113 V; ΔG° < 0, spontaneous.

Key points

  • The couple with the lower E° (Zn) is the anode; the higher (Cu) is the cathode.
  • Total (n = 2): Zn(s) + Cu²⁺(aq) → Zn²⁺(aq) + Cu(s).
  • E°cell = E°cathode − E°anode = 0.350 − (−0.763) = 1.113 V.
  • ΔG° = −nFE° = −(2)(96485)(1.113) = −214.8 kJ mol⁻¹ ⇒ spontaneous.
  • log K = 2(1.113)/0.05916 = 37.63, K ≈ 4.2 × 10³⁷: reaction goes to completion.

The full model answer

As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.

Model answer to Q1(i), 2024 Mains Paper II: solution pages 11 and 12
Solution pages 11 and 12 of 37

CoversDaniell cellstandard electrode potentialEMF of cellΔG° = −nFE°galvanic cell