Question 3: Consider the following set of differential equations that describe the change in oncentration three species in a tank; Note: dCa dt ‡ dCb dt dCc dt = k1Ca = k2Cb + Ca Vhere, k1=1.5 hr-1 and k2=2.8 hr-1 and at time t=0, Ca=5.8mol and Cb=Cc=0 mol. Solve the system of equations and plot the change in concentration of each species over time. ind the concentrations of species a, b and c after 15 seconds. Plot the results (Ca, Cb and Cc v.s. time) = k2Cc - Cb Source block ('step' or 'Constant') name must be AbuDhabi and 2021 (example - AbuDhabi2021)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 3: Consider the following set of differential equations that describe the change in
concentration three species in a tank;
dCa
= k1Ca
dt
dCb
E К2CЬ + Ca
dt
dCc
k2Сс — Сb
dt
Where, k1=1.5 hr-1 and k2=2.8 hr-1 and at time t=0, Ca=5.8mol and Cb=Cc=0 mol. Solve the system
of equations and plot the change in concentration of each species over time.
Find the concentrations of species a, b andc after 15 seconds. Plot the results (Ca , Cb and Cc v.s. time)
Note:
Source block ('step' or 'Constant') name must be AbuDhabi and 2021 (example - AbuDhabi2021)
ANSWER (attach a snapshot of your Simulink model and plot):
Transcribed Image Text:Question 3: Consider the following set of differential equations that describe the change in concentration three species in a tank; dCa = k1Ca dt dCb E К2CЬ + Ca dt dCc k2Сс — Сb dt Where, k1=1.5 hr-1 and k2=2.8 hr-1 and at time t=0, Ca=5.8mol and Cb=Cc=0 mol. Solve the system of equations and plot the change in concentration of each species over time. Find the concentrations of species a, b andc after 15 seconds. Plot the results (Ca , Cb and Cc v.s. time) Note: Source block ('step' or 'Constant') name must be AbuDhabi and 2021 (example - AbuDhabi2021) ANSWER (attach a snapshot of your Simulink model and plot):
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