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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 · 2019 · Mains Paper II

Q1(l). Iron redox-electrode potential

Question

Deduce the Nernst equation at temperature T for the electrode Pt|Fe³⁺,Fe²⁺.

Answer in brief

E=E°-RT/Fln (a_(Fe²⁺))/(a_(Fe³⁺)).

Key points

  • Write the reduction half-reaction Fe³⁺ + e⁻ → Fe²⁺, so n=1. Platinum is an inert electron conductor and does not enter the reaction quotient.
  • Combining ΔᵣG=ΔᵣG°+RTln Q with ΔᵣG=-nFE gives E=E°-(RT/nF)ln Q.
  • Here Q=a_(Fe²⁺)/a_(Fe³⁺). At 298 K, E=E°-0.05916log₁₀ Q volts. Activities can be approximated by concentration ratios only in an appropriate dilute medium.

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(l), 2019 Mains Paper II: solution pages 5 and 6
Solution pages 5 and 6 of 17

CoversIron redox-electrode potentialElectrochemistry