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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 · 2018 · Mains Paper II

Q15(b). Entropy along two reversible paths

Question

An ideal gas changes from X(p₁,V₁,T₁) to Z(p₂,V₂,T₁). Route A is isothermal reversible expansion (I). Route B is reversible adiabatic expansion (II) to Y(p₃,V₂,T₂) followed by reversible heating (III) to Z. Calculate the entropy change for each process and each route; compare the two routes.

Answer in brief

ΔSI=nRln (V₂/V₁), ΔS_(II)=0 and ΔS_(III)=nRln (V₂/V₁). Both routes have the same total entropy change.

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CoversEntropy along two reversible pathsEntropy as a state function

All parts of Question 15