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UPSC Civil Services (Mains)

Chemistry optional

  • 2 papers
  • 250 marks each
  • 3 h per paper
  • 5 of 8 questions, Q1 and Q5 compulsory

Paper I covers physical and inorganic chemistry.

UPSC Civil Services (Mains), Chemistry optional · 2025 · Paper I

Q6(c). Langmuir adsorption isotherm

Question

Mentioning the requisite assumptions, derive the equation of the Langmuir adsorption isotherm. Show that the Langmuir isotherm holds at low pressure but fails at high pressure.

Answer in brief

θ = Kp/(1 + Kp) with K = ka/kd; at low pressure θ = Kp, as observed, while at high pressure it predicts a constant monolayer though real adsorption goes on rising.

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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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CoversLangmuir adsorption isothermmonolayer adsorptionsurface coverageBET isothermchemisorption

All parts of Question 6