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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 · 2024 · Paper I

Q4(c)(ii). Yield of P₁ from three parallel paths

Question

In acidic condition, benzyl penicillin (BP) undergoes three parallel reactions: BP → P₁ (k₁), BP → P₂ (k₂) and BP → P₃ (k₃). Imagine while swallowing penicillin, the pH of the stomach is ~3. At this pH and a temperature of 22 °C, the rate constants are k₁ = 7.0 × 10⁻⁴ s⁻¹, k₂ = 4.1 × 10⁻³ s⁻¹, k₃ = 5.7 × 10⁻³ s⁻¹. What is the yield of P₁ formation?

Answer in brief

Yield of P₁ = k₁/(k₁ + k₂ + k₃) = 0.067 = 6.7 %.

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Coversparallel reactionsbranching ratiobenzyl penicillinfirst-order kineticsproduct yield