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A certain catalyst undergoes sintering overtime, causing its catalytic activity to decrease according to the following deactivation kinetic model: = rºd da dt = k₁a³

A certain catalyst undergoes sintering overtime, causing its catalytic activity to decrease according to the following deactivation kinetic model: = rºd da dt = k₁a³

Introduction to Chemical Engineering Thermodynamics
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
Section: Chapter Questions
Problem 1.1P
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A certain catalyst undergoes sintering overtime, causing its catalytic activity to decrease according to the following deactivation kinetic model: ra = da dt ka = kaa³ The deactivation constant (ka, day¯¹) follows an Arrhenius type temperature - dependency as shown: -1500 = 50e T The catalyst is to be replaced when its activity falls to 95% below its original activity. If the reactor is operated T = 300 K, how long should this catalyst be used?
Transcribed Image Text:A certain catalyst undergoes sintering overtime, causing its catalytic activity to decrease according to the following deactivation kinetic model: ra = da dt ka = kaa³ The deactivation constant (ka, day¯¹) follows an Arrhenius type temperature - dependency as shown: -1500 = 50e T The catalyst is to be replaced when its activity falls to 95% below its original activity. If the reactor is operated T = 300 K, how long should this catalyst be used?
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