after a while. = UA(Tg-
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
Related questions
Question
![The liquid fed to the mixing tank shown in the figure at a constant
temperature is heated by the heat provided by a heat exchanger.
After a while, the feed temperature To is changed by the step
effect.
QUA(Tg (T1)^2/3) can be used for heat transfer from the
heat exchanger.
To
T₁
T₁
a) Derive the time dependent dynamic behavior of the temperature
inside the tank.
b) Derive the transfer function of the system and show it in the block
diagram.
c) Determine the time constant and process gain values of the
system.
d) Determine the dynamic behavior of the system (stable/unstable;
over damped/critically damped/under damped).
e) Determine the steady state values of the liquid temperature in the
tank before and after the step.
Terms:F (m³/dak), T (°C), V (m ³ ), p (kg/m³), cp [kJ/(kg. ° C)], UA
[kJ/(min. °C)].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F091fd4ab-eaa7-41e1-90ab-6e29efc29839%2F1d788ef3-b52c-4e4f-a018-bf76addc00d2%2Fxhwxnns_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The liquid fed to the mixing tank shown in the figure at a constant
temperature is heated by the heat provided by a heat exchanger.
After a while, the feed temperature To is changed by the step
effect.
QUA(Tg (T1)^2/3) can be used for heat transfer from the
heat exchanger.
To
T₁
T₁
a) Derive the time dependent dynamic behavior of the temperature
inside the tank.
b) Derive the transfer function of the system and show it in the block
diagram.
c) Determine the time constant and process gain values of the
system.
d) Determine the dynamic behavior of the system (stable/unstable;
over damped/critically damped/under damped).
e) Determine the steady state values of the liquid temperature in the
tank before and after the step.
Terms:F (m³/dak), T (°C), V (m ³ ), p (kg/m³), cp [kJ/(kg. ° C)], UA
[kJ/(min. °C)].
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