The liquid storage-tank shown has two inlet streams with mass flow rates m, and m₂ & an exit stream with flow rate m, (with corresponding volumetric flow rates F₁, F2, & F3). The cylindrical tank is 2.5 m tall & 2 m diameter. The liquid has a density of 800 kg/m³. Normal operating procedure is to fill the tank until the liquid level reaches a nominal value of 1.75 m using constant flow rates: m₂ = 120 kg/min, m₂ = 100 kg/min, and m₂ = 200 kg/min. At that point, inlet flow rate m, is adjusted so that the level remains constant. F=0.025√h-1 where h is in meters. CBEN403A Spring 2024 2.5 m -1- h However, on this particular day, corrosion of the tank has opened up a hole in the wall at a height of the tank has opened up a hole the wall at a height of 1 m, producing a leak whose volumetric flow rate F. (m³/min) can be approximated by m₂ 1 m F₁ January 5, 2024 a. If the tank was initially empty, how long did it take for the liquid level to reach the corrosion point? b. If mass flow rates m, m₂, & m₂ are kept constant indefinitely (i.e., m, is not adjusted), will the tank overflow? Justify your answer.
The liquid storage-tank shown has two inlet streams with mass flow rates m, and m₂ & an exit stream with flow rate m, (with corresponding volumetric flow rates F₁, F2, & F3). The cylindrical tank is 2.5 m tall & 2 m diameter. The liquid has a density of 800 kg/m³. Normal operating procedure is to fill the tank until the liquid level reaches a nominal value of 1.75 m using constant flow rates: m₂ = 120 kg/min, m₂ = 100 kg/min, and m₂ = 200 kg/min. At that point, inlet flow rate m, is adjusted so that the level remains constant. F=0.025√h-1 where h is in meters. CBEN403A Spring 2024 2.5 m -1- h However, on this particular day, corrosion of the tank has opened up a hole in the wall at a height of the tank has opened up a hole the wall at a height of 1 m, producing a leak whose volumetric flow rate F. (m³/min) can be approximated by m₂ 1 m F₁ January 5, 2024 a. If the tank was initially empty, how long did it take for the liquid level to reach the corrosion point? b. If mass flow rates m, m₂, & m₂ are kept constant indefinitely (i.e., m, is not adjusted), will the tank overflow? Justify your answer.
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
Transcribed Image Text:The liquid storage-tank shown has two inlet
streams with mass flow rates m, and m₂ &
an exit stream with flow rate m, (with
corresponding volumetric flow rates F₁, F2,
& F3). The cylindrical tank is 2.5 m tall & 2 m
diameter. The liquid has a density of 800
kg/m³. Normal operating procedure is to fill
the tank until the liquid level reaches a
nominal value of 1.75 m using constant flow
rates: m₂ = 120 kg/min, m₂ = 100 kg/min,
and m₂ = 200 kg/min. At that point, inlet
flow rate m is adjusted so that the level
remains constant.
where h is in meters.
CBEN403A Spring 2024
2.5 m
-1-
h
However, on this particular day, corrosion of the tank has opened up a hole in the wall at a height of
the tank has opened up a hole the wall at a height of 1 m, producing a leak whose volumetric flow
rate F₂ (m³/min) can be approximated by
F₂=0.025√/h-1
1 m
F₂
January 5, 2024
a. If the tank was initially empty, how long did it take for the liquid level to reach the corrosion
point?
b. If mass flow rates m, m₂, & m, are kept constant indefinitely (i.e., m is not adjusted), will
the tank overflow? Justify your answer.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The