Consider a heterogeneous gas-phase catalytic reaction: AB(g)→A(g)+B(g) (Catalyst) The surface reaction mechanism follows three steps: AB(g) +S <----> AB*S (Adsorption) AB*S<----> B*S+A(g) (Surface reaction) B*S <---> B(g) + S (Desorption) a) Derive the initial rates (AR) of the reaction, assuming there is no product (ie., A and B) in the feed (ie., PA Pao=0), assuming adsorption is the rate determining step. Use initial pressure of AB (ie., PARA), total number of sites on the surface (C), and the rate and equilibrium constants in the expressions. Hint: Based on the reaction mechanism, only AB and B are adsorbed on the surface, i.e., there is no evidence that A alone can be adsorbed on the surface.

Introduction to Chemical Engineering Thermodynamics
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ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Chapter1: Introduction
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REACTION ENGINEERING
 
 Consider a heterogeneous gas-phase catalytic reaction:
AB(g)→A(g)+B(g) (Catalyst)

The surface reaction mechanism follows three steps:

AB(g) +S <----> AB*S (Adsorption)
AB*S<----> B*S+A(g) (Surface reaction)
B*S <---> B(g) + S (Desorption)

a) Derive the initial rates (AR) of the reaction, assuming there is no product (ie., A and B) in the feed (ie., PA Pao=0), assuming adsorption is the rate determining step. Use initial pressure of AB (ie., PARA), total number of sites on the surface (C), and the rate and equilibrium constants in the expressions.
Hint: Based on the reaction mechanism, only AB and B are adsorbed on the surface, i.e., there is no evidence that A alone can be adsorbed on the surface.

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