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Two reactors are connected in series as shown in the figure. The reaction is first order and the reactors are isothermal. The volumetric flow rate is F, the inlet concentration is CAO, the concentration in the first reactor is CAI and in the second reactor is CA2. The volumes are V₁ and V2 respectively and are constant with time. The reaction is a first order (r-kCA where k is constant). Assume that the system is initially at steady state. 1. Propose a model to calculate the concentration in both reactors with respect to time. 2. Obtain the transfer function between the deviations in concentrations CA2 with respect to deviations in CAO. 3. Calculate CA2(t) for a step change in inlet concentration from CA0 to 2CAO. Perform the calculation for the case of V1-V2 CAO CA1 CA2

Two reactors are connected in series as shown in the figure. The reaction is first order and the reactors are isothermal. The volumetric flow rate is F, the inlet concentration is CAO, the concentration in the first reactor is CAI and in the second reactor is CA2. The volumes are V₁ and V2 respectively and are constant with time. The reaction is a first order (r-kCA where k is constant). Assume that the system is initially at steady state. 1. Propose a model to calculate the concentration in both reactors with respect to time. 2. Obtain the transfer function between the deviations in concentrations CA2 with respect to deviations in CAO. 3. Calculate CA2(t) for a step change in inlet concentration from CA0 to 2CAO. Perform the calculation for the case of V1-V2 CAO CA1 CA2

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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Two reactors are connected in series as shown in the figure. The reaction is first order and the reactors are isothermal. The volumetric flow rate is F, the inlet concentration is CAO, the concentration in the first reactor is CAI and in the second reactor is CA2. The volumes are V₁ and V2 respectively and are constant with time. The reaction is a first order (r-kCA where k is constant). Assume that the system is initially at steady state. 1. Propose a model to calculate the concentration in both reactors with respect to time. 2. Obtain the transfer function between the deviations in concentrations CA2 with respect to deviations in CAO. 3. Calculate CA2(t) for a step change in inlet concentration from CAO to 2CA0. Perform the calculation for the case of V₁ V2 F CAO CA1 7 V₂ CA2
Transcribed Image Text:Two reactors are connected in series as shown in the figure. The reaction is first order and the reactors are isothermal. The volumetric flow rate is F, the inlet concentration is CAO, the concentration in the first reactor is CAI and in the second reactor is CA2. The volumes are V₁ and V2 respectively and are constant with time. The reaction is a first order (r-kCA where k is constant). Assume that the system is initially at steady state. 1. Propose a model to calculate the concentration in both reactors with respect to time. 2. Obtain the transfer function between the deviations in concentrations CA2 with respect to deviations in CAO. 3. Calculate CA2(t) for a step change in inlet concentration from CAO to 2CA0. Perform the calculation for the case of V₁ V2 F CAO CA1 7 V₂ CA2
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