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Chemical Reaction Engineering
Reaction Kinetics
GATE 2012
Hard

The rate-controlling step for the solid-catalyzed irreversible reaction A+B→C is known to be the reaction of adsorbed A with adsorbed B to give adsorbed C. If Pi is the partial pressure of component i and Ki is the adsorption equilibrium constant of component i, then the form of the Langmuir-Hinshelwood rate expression will be

  • Arate ∝ PAPB/(1+KAPA+KBPB+KCPC)
  • rate ∝ PAPB/(1+KAPA+KBPB+KCPC)²
  • Crate ∝ PAPB/(1+KAPA+KBPB+KCPC)^0.5
  • Drate ∝ PAPB/PC

Explanation

With surface reaction between adsorbed A and adsorbed B rate-controlling: rate=k·θA·θB=k·[KAPA/(1+ΣKiPi)]·[KBPB/(1+ΣKiPi)]=k·KAKB·PAPB/(1+KAPA+KBPB+KCPC)².

Source: GATE CH 2012 (2012)

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