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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 · 2020 · Mains Paper II

Q1(d). Composition change and non-expansion work

Question

Explain how thermodynamics relates non-expansion work to a change in system composition.

Answer in brief

At constant T,p, the maximum reversible non-expansion work delivered is -ΔG; composition changes enter through chemical potentials.

Key points

  • The fundamental relation is dG=-S dT+V dp+Σᵢμᵢ dnᵢ. For a reaction, dnᵢ=νᵢ dξ, so at fixed T,p, dG=ΔᵣG dξ with ΔᵣG=Σᵢνᵢμᵢ.
  • For reversible operation, the non-expansion work done on the system is δ w_(nonPV,rev)=dG at constant T,p.
  • For example, a galvanic cell converts chemical composition change into electrical work: ΔᵣG=-nFE. Irreversibility reduces the useful work obtained for the same endpoint states.

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(d), 2020 Mains Paper II: solution pages 3 and 4
Solution pages 3 and 4 of 17

CoversComposition changenon-expansion workThermodynamics