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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

Q12(a). Work and efficiency of the stated cycle

Question

One mole of diatomic ideal gas (γ=1.4) completes: (i) adiabatic expansion against constant 1 bar from 10 to 20 L; (ii) cooling and contraction at constant 1 bar back to 10 L; (iii) constant-volume heating to the initial pressure. Calculate work in each step and engine efficiency. Mention redundant data.

Answer in brief

With work on the gas positive, w₁=-1000 J, w₂=+1000 J, w₃=0. Net work is zero, so the stated cycle has zero efficiency.

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CoversWorkefficiency of the stated cycleThermodynamics

All parts of Question 12