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1. Consider an isothermal semi-batch reactor with one feed stream and no product stream. Feed enters the reactor at a volumetric flow rate q(t) and molar concentration CAo(t) of reactant A. The reaction scheme is 2A →B, and the molar reaction rate of A per unit volume is rA= kCA?, where k is the rate constant. Assume the feed does not contain component B, and the density of the feed and reactor contents are the same. (a) Develop a dynamic model of the process that could be used to determine the volume and concentrations of both A and B in the reactor at any given time. There is no need to integrate and solve the model differential equations. (b) Perform a degrees of freedom analysis and identify the input and output variables clearly.

1. Consider an isothermal semi-batch reactor with one feed stream and no product stream. Feed enters the reactor at a volumetric flow rate q(t) and molar concentration CAo(t) of reactant A. The reaction scheme is 2A →B, and the molar reaction rate of A per unit volume is rA= kCA?, where k is the rate constant. Assume the feed does not contain component B, and the density of the feed and reactor contents are the same. (a) Develop a dynamic model of the process that could be used to determine the volume and concentrations of both A and B in the reactor at any given time. There is no need to integrate and solve the model differential equations. (b) Perform a degrees of freedom analysis and identify the input and output variables clearly.

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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Process Dynamics and Control, Third Edition or Fourth Edition, by D. E. Seborg, T. F. Edgar, D. A. Mellichamp, F. J. Doyle III, John Wiley & Sons, Inc, 2011

Consider an isothermal semi-batch reactor with one feed stream and no product stream. Feed enters the reactor at a volumetric flow rate q(t) and molar concentration CA.(t) of reactant A. The reaction scheme is 2A →B, and the molar reaction rate of A per unit volume is raA=kCA?, where k is the rate 1. constant. Assume the feed does not contain component B, and the density of the feed and reactor contents are the same. (a) Develop a dynamic model of the process that could be used to determine the volume and concentrations of both A and B in the reactor at any given time. There is no need to integrate and solve the model differential equations. (b) Perform a degrees of freedom analysis and identify the input and output variables clearly.
Transcribed Image Text:Consider an isothermal semi-batch reactor with one feed stream and no product stream. Feed enters the reactor at a volumetric flow rate q(t) and molar concentration CA.(t) of reactant A. The reaction scheme is 2A →B, and the molar reaction rate of A per unit volume is raA=kCA?, where k is the rate 1. constant. Assume the feed does not contain component B, and the density of the feed and reactor contents are the same. (a) Develop a dynamic model of the process that could be used to determine the volume and concentrations of both A and B in the reactor at any given time. There is no need to integrate and solve the model differential equations. (b) Perform a degrees of freedom analysis and identify the input and output variables clearly.
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