The liquid fed to the mixing tank shown in the figure at constant temperature has been at constant temperature for a long time. It is cooled by the heat taken from the operating reactor jacket. After a while the cooling system temperature of the refrigerant changes. Q=UA (Tc- (T1)^1/3)) can be used for heat transfer from the tank jacket. Fo To Fe Terms:F (m³/dak), T (°C) V (m³) p (kg/m³), ep [kJ/(kg. °C)]. UA [kJ/(min. °C)]. a) derive the dynamic behavior of the temperature inside the tank b) determine the time constant and process gain values c) interpret the dynamic behavior of the system (stable/unstable; oscillating/non-oscillating)
The liquid fed to the mixing tank shown in the figure at constant temperature has been at constant temperature for a long time. It is cooled by the heat taken from the operating reactor jacket. After a while the cooling system temperature of the refrigerant changes. Q=UA (Tc- (T1)^1/3)) can be used for heat transfer from the tank jacket. Fo To Fe Terms:F (m³/dak), T (°C) V (m³) p (kg/m³), ep [kJ/(kg. °C)]. UA [kJ/(min. °C)]. a) derive the dynamic behavior of the temperature inside the tank b) determine the time constant and process gain values c) interpret the dynamic behavior of the system (stable/unstable; oscillating/non-oscillating)
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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Question
![The liquid fed to the mixing tank shown in the figure at constant
temperature has been at constant temperature for a long time.
It is cooled by the heat taken from the operating reactor jacket.
After a while the cooling system
temperature of the refrigerant changes. Q=UA (Tc- (T1)^1/3)) can
be used for heat transfer from the tank jacket.
Fo
To
Terms:F (m'dak), I(C). V (m³), p (kg/m³), ep [kJ/(kg. °C)l
UA [kJ/(min. C)].
a) derive the dynamic behavior of the temperature inside the tank
b) determine the time constant and process gain values.
c) interpret the dynamic behavior of the system (stable/unstable;
oscillating/non-oscillating)
d) derive the dynamic behavior of the temperature in the tank jacket.
determine the time constant and process gain values
e) interpret the dynamic behavior of the system (for d the tank jacket)
(stable/unstable, oscillating/non-oscillating)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43ff35e0-6441-4b4e-926e-9bdd7d62b3ac%2F2c61cd0c-7e5f-4ff0-bc75-3b3579f47671%2Ftww63i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The liquid fed to the mixing tank shown in the figure at constant
temperature has been at constant temperature for a long time.
It is cooled by the heat taken from the operating reactor jacket.
After a while the cooling system
temperature of the refrigerant changes. Q=UA (Tc- (T1)^1/3)) can
be used for heat transfer from the tank jacket.
Fo
To
Terms:F (m'dak), I(C). V (m³), p (kg/m³), ep [kJ/(kg. °C)l
UA [kJ/(min. C)].
a) derive the dynamic behavior of the temperature inside the tank
b) determine the time constant and process gain values.
c) interpret the dynamic behavior of the system (stable/unstable;
oscillating/non-oscillating)
d) derive the dynamic behavior of the temperature in the tank jacket.
determine the time constant and process gain values
e) interpret the dynamic behavior of the system (for d the tank jacket)
(stable/unstable, oscillating/non-oscillating)
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VIEWStep 3: Derive the dynamic behavior of the temperature in the tank jacket
VIEWStep 4: b. Determine time constant and process gain values
VIEWStep 5: c. Interpret the dynamic behavior of the system
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