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Consider the Continuous Stirred Tank Reactor (CSTR) shown in Figure P4.25. A single irreversible first-order reaction occurs in the reactor, i.e., A B where the reaction rate is r-kCA (the consumption term in your mole balance equation). Note: in every continuous process, there will be a start-up period in which operation will start with an unsteady state behavior and move towards steady state. One of the applications of the unsteady state model is to predict the start-up period. Other application of the unsteady state model is to predict the process behavior subjected to upstream changes such as disturbances). a. Write the mole balance around the reactor and obtain an unsteady state model for this process (find the ordinary differential equation). Integrate the ordinary differential equation to develop an analytical expression for CA as a function of time (min). b. What is the steady state concentration of A in the reactor?

Consider the Continuous Stirred Tank Reactor (CSTR) shown in Figure P4.25. A single irreversible first-order reaction occurs in the reactor, i.e., A B where the reaction rate is r-kCA (the consumption term in your mole balance equation). Note: in every continuous process, there will be a start-up period in which operation will start with an unsteady state behavior and move towards steady state. One of the applications of the unsteady state model is to predict the start-up period. Other application of the unsteady state model is to predict the process behavior subjected to upstream changes such as disturbances). a. Write the mole balance around the reactor and obtain an unsteady state model for this process (find the ordinary differential equation). Integrate the ordinary differential equation to develop an analytical expression for CA as a function of time (min). b. What is the steady state concentration of A in the reactor?

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
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Consider the Continuous Stirred Tank Reactor (CSTR) shown in Figure P4.25. A single irreversible first-order reaction occurs in the reactor, i.e., A → B where the reaction rate is r-kCA (the consumption term in your mole balance equation). Note: in every continuous process, there will be a start-up period in which operation will start with an unsteady state behavior and move towards steady state. One of the applications of the unsteady state model is to predict the start-up period. Other application of the unsteady state model is to predict the process behavior subjected to upstream changes such as disturbances). a. Write the mole balance around the reactor and obtain an unsteady state model for this process (find the ordinary differential equation). Integrate the ordinary differential equation to develop an analytical expression for CA as a function of time (min). b. Feed What is the steady state concentration of A in the reactor? where C₁ - the concentration of reactant A in the reactor (initially 1.0 g-mol/l) A B CA Product Figure P4.25 Schematic of an isothermal CŠTR with a single irreversible reaction. . • C - the concentration of reactant A in the feed to the CSTR (1.0 g-mol/l) • Fy- the volumetric feed rate and product flow rate for the CSTR (100 l/min) • k- the rate constant for the first-order reaction (0.1 min¹) . • V- the volume of liquid in the CSTR (1000 1)
Transcribed Image Text:Consider the Continuous Stirred Tank Reactor (CSTR) shown in Figure P4.25. A single irreversible first-order reaction occurs in the reactor, i.e., A → B where the reaction rate is r-kCA (the consumption term in your mole balance equation). Note: in every continuous process, there will be a start-up period in which operation will start with an unsteady state behavior and move towards steady state. One of the applications of the unsteady state model is to predict the start-up period. Other application of the unsteady state model is to predict the process behavior subjected to upstream changes such as disturbances). a. Write the mole balance around the reactor and obtain an unsteady state model for this process (find the ordinary differential equation). Integrate the ordinary differential equation to develop an analytical expression for CA as a function of time (min). b. Feed What is the steady state concentration of A in the reactor? where C₁ - the concentration of reactant A in the reactor (initially 1.0 g-mol/l) A B CA Product Figure P4.25 Schematic of an isothermal CŠTR with a single irreversible reaction. . • C - the concentration of reactant A in the feed to the CSTR (1.0 g-mol/l) • Fy- the volumetric feed rate and product flow rate for the CSTR (100 l/min) • k- the rate constant for the first-order reaction (0.1 min¹) . • V- the volume of liquid in the CSTR (1000 1)
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