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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 · 2021 · Mains Paper II

Q6. ΔG, ΔH and ΔS of an all-solid cell reaction from emf

Question

For the following cell Pb | PbCl₂(s) | PbCl₂(soln) | AgCl(s) | Ag, the potential at 298 K is 0.490 V and the variation of emf with temperature is given by E = a − (1.86 × 10⁻⁴ V/K)(T − 25 K). Calculate ΔG, ΔH and ΔS for the reaction at 298 K.

Answer in brief

Cell reaction Pb(s) + 2AgCl(s) → PbCl₂(s) + 2Ag(s), n = 2; ΔG = −94.56 kJ mol⁻¹, ΔS = −35.89 J K⁻¹ mol⁻¹, ΔH = −105.25 kJ mol⁻¹.

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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.

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Coverstemperature coefficient of emfGibbs–Helmholtz equationthermodynamics of galvanic cellsΔG = −nFEentropy from emf