Ql: Consider the following cascade connection of isothermal reactors. A first-order reaction A → B occurs in both reactors, with reaction rate constant k. The volumes of liquid in the reactors, V, are constant and equal; the flow rates Fo. F1, F2 and R are constant. Assume constant physical properties and a negligible time delay for the recycle line. Derive a transfer function model relating the output concentration of A, C2 to the inlet concentration of A, Co. Hint: Recognize that F, = R+ F2 and Fo = F2. Fo. Co R. C2 V F1, C1 F2. C2
Ql: Consider the following cascade connection of isothermal reactors. A first-order reaction A → B occurs in both reactors, with reaction rate constant k. The volumes of liquid in the reactors, V, are constant and equal; the flow rates Fo. F1, F2 and R are constant. Assume constant physical properties and a negligible time delay for the recycle line. Derive a transfer function model relating the output concentration of A, C2 to the inlet concentration of A, Co. Hint: Recognize that F, = R+ F2 and Fo = F2. Fo. Co R. C2 V F1, C1 F2. C2
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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Transcribed Image Text:Q1: Consider the following cascade connection of isothermal reactors. A first-order
reaction A → B occurs in both reactors, with reaction rate constant k. The volumes of
liquid in the reactors, V, are constant and equal; the flow rates Fo, F1, F2 and R are
constant. Assume constant physical properties and a negligible time delay for the recycle
line. Derive a transfer function model relating the output concentration of A, C2 to the
inlet concentration of A, Co. Hint: Recognize that F = R + F; and Fo = F2.
Fo. Co
R, C2
F1, C1
F2. C2
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