1. Consider 1st order reaction (Rate = -kC) and diffusion at diffusivity D inside a sphericalcatalyst pellet of radius a. Determine the concentration in the pellet at steady state. Theconcentration at the surface of the pellet, r = a , is C, and the symmetry condition applies at thecenter of the pellet (i.e.= 0 at r = 0). Note that problems that involve the operatorOr1 д0(r)2can often be simplified by making the substitution C(r) =Drr drr

Answered: Determine the concentration in the…

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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1. Consider 1st order reaction (Rate = -kC) and diffusion at diffusivity D inside a spherical
catalyst pellet of radius a. Determine the concentration in the pellet at steady state. The
concentration at the surface of the pellet, r = a , is C, and the symmetry condition applies at the
center of the pellet (i.e.
= 0 at r = 0). Note that problems that involve the operator
Or
1 д
0(r)
2
can often be simplified by making the substitution C(r) =
Dr
r dr
r

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Introduction

Catalytic reaction system - A catalytic reaction occurs at the fluid-solid interface so a large interfacial area is essential to provide. this solid catalyst is normally porous. it usually speeds up a reaction by promoting a different reaction mechanism for the formation of products that require lower activation energy for the non-catalytic reaction.

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