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2. The following differential equations describe the outlet concentrations of A, B, and C from a CSTR: dCa F (Ca₁ - Ca)-k, Ca² - k₂Cab dt ась F (Cb,- Cb)+2k,Ca² -0.5k₂Cab dt V dCc F = Cc+0.5k,CaCb dt A linear model can be developed with the form: x'= Ax' + Bu' y' = Cx' + Du' The state vector is [Ca, Cb, Cc], the input vector is [Fi, Cai, Cbi], and the output vector is [Ca]. Define all terms in the B matrix with respect to the given variables.

2. The following differential equations describe the outlet concentrations of A, B, and C from a CSTR: dCa F (Ca₁ - Ca)-k, Ca² - k₂Cab dt ась F (Cb,- Cb)+2k,Ca² -0.5k₂Cab dt V dCc F = Cc+0.5k,CaCb dt A linear model can be developed with the form: x'= Ax' + Bu' y' = Cx' + Du' The state vector is [Ca, Cb, Cc], the input vector is [Fi, Cai, Cbi], and the output vector is [Ca]. Define all terms in the B matrix with respect to the given variables.

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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2. The following differential equations describe the outlet concentrations of A, B, and C from a CSTR: dCa F (Ca₁ - Ca)-k, Ca² - k₂Cab dt ась F (Cb,- Cb)+2k,Ca² -0.5k₂Cab dt V dCc F = Cc+0.5k,CaCb dt A linear model can be developed with the form: x'= Ax' + Bu' y' = Cx' + Du' The state vector is [Ca, Cb, Cc], the input vector is [Fi, Cai, Cbi], and the output vector is [Ca]. Define all terms in the B matrix with respect to the given variables.
Transcribed Image Text:2. The following differential equations describe the outlet concentrations of A, B, and C from a CSTR: dCa F (Ca₁ - Ca)-k, Ca² - k₂Cab dt ась F (Cb,- Cb)+2k,Ca² -0.5k₂Cab dt V dCc F = Cc+0.5k,CaCb dt A linear model can be developed with the form: x'= Ax' + Bu' y' = Cx' + Du' The state vector is [Ca, Cb, Cc], the input vector is [Fi, Cai, Cbi], and the output vector is [Ca]. Define all terms in the B matrix with respect to the given variables.
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