A certain catalyst undergoes sintering over time, causing its catalytic activity to decrease according to the following deactivation kinetic model: da Td = kaa³ dt The deactivation constant (ka, day-¹) follows an Arrhenius-type temperature-dependency as shown: -1,200 ka = 88.9e T The catalyst is to be replaced when its activity falls to 99% below its original activity. (35 points) If it is desired to perform catalyst replacement every 1000 man-days, at what temperature should the reactor be operated? =

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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A certain catalyst undergoes sintering over time, causing its catalytic activity to decrease according
to the following deactivation kinetic model:
da
rd
= kaa³
dt
The deactivation constant (ka, day-¹) follows an Arrhenius-type temperature-dependency as
shown:
-1,200
ka
88.9e T
The catalyst is to be replaced when its activity falls to 99% below its original activity.
(35 points) If it is desired to perform catalyst replacement every 1000 man-days, at what temperature should the reactor be
operated?
=
=
Transcribed Image Text:A certain catalyst undergoes sintering over time, causing its catalytic activity to decrease according to the following deactivation kinetic model: da rd = kaa³ dt The deactivation constant (ka, day-¹) follows an Arrhenius-type temperature-dependency as shown: -1,200 ka 88.9e T The catalyst is to be replaced when its activity falls to 99% below its original activity. (35 points) If it is desired to perform catalyst replacement every 1000 man-days, at what temperature should the reactor be operated? = =
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