A constant volume batch reactor undergoes the series reaction ki k A B C The rates of disappearance per unit reactor volume are -TA= kı C ; -T3 = ka Cs + kı Ca? Develop the mass balance equations for a constant density batch reactor and find closed-form solutions for CA(t), Ca(t) and Cc(t) for the case where CA = CAo and Ca = Cao and Cc = Cco = 0 at t = 0. Prove that the solutions are correct by substituting %3! back into the origianl set of ODES.

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 constant volume batch reactor undergoes the series reaction
ki , k2
A BC
The rates of disappearance per unit reactor volume are
-TA = kı Cử ;
-Ts = k2 C3 + kı C?
Develop the mass balance equations for a constant density batch reactor and find
closed-form solutions for CA(t), CB(t) and Cc(t) for the case where Ca = CA0 and CB =
CBo and Cc = Cco = 0 at t = 0. Prove that the solutions are correct by substituting
%3D
back into the origianl set of ODES.
Transcribed Image Text:A constant volume batch reactor undergoes the series reaction ki , k2 A BC The rates of disappearance per unit reactor volume are -TA = kı Cử ; -Ts = k2 C3 + kı C? Develop the mass balance equations for a constant density batch reactor and find closed-form solutions for CA(t), CB(t) and Cc(t) for the case where Ca = CA0 and CB = CBo and Cc = Cco = 0 at t = 0. Prove that the solutions are correct by substituting %3D back into the origianl set of ODES.
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