2. Consider a cylindrical blending tank that has two feed streams (ṁ¡ and ṁ2) and one effluent stream (m3). The tank has a height of 2.5 m and a diameter of 2 m and the effluent flow rate is proportional to the liquid level in the tank: ṁ3=C\h. Under normal operating conditions, the liquid flow rates are ṁ1=120 kg/min, m2=100 kg/min. Also, the mass concentrations of the solute for the two feed streams are WA1 = WA2 = 0.5. The process has been operating for a long time so that it has reached steady-state with an effluent mass fraction of WA3 0.5 and liquid level h = 1.75 m. Assume the density of all streams is equal to 800 kg/m³, and the contents of the tank are well-mixed. (a) Determine the value of effluent mass flow rate m3. Also, determine the value of the constant C. (b) If wAi is suddenly changed from 0.5 to 0.7 and remains at that value while wa2 does not change, determine the time for the effluent concentration to reach wA3 = 0.6. What is the final value of the effluent concentration? (c) If m, is changed from 120 kg/min to 150 kg/min without changing the feed concentrations (WAI = WA2 = 0.5), what will be the final value of the liquid level in the tank? Will the tank overflow? (d) Would the results of part-c be different if the feed concentrations had changed at the same time that the feed flow rate had changed?

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
icon
Related questions
Question

I need help on d.

 

2. Consider a cylindrical blending tank that has two feed streams (ṁ¡ and ṁ2) and one effluent
stream (m3). The tank has a height of 2.5 m and a diameter of 2 m and the effluent flow rate
is proportional to the liquid level in the tank: ṁ3=C\h. Under normal operating conditions,
the liquid flow rates are ṁ1=120 kg/min, m2=100 kg/min. Also, the mass concentrations
of the solute for the two feed streams are WA1 = WA2 = 0.5.
The process has been operating for a long time so that it has reached steady-state with an
effluent mass fraction of WA3
0.5 and liquid level h = 1.75 m. Assume the density of all
streams is equal to 800 kg/m³, and the contents of the tank are well-mixed.
(a) Determine the value of effluent mass flow rate m3. Also, determine the value of the
constant C.
(b) If wAi is suddenly changed from 0.5 to 0.7 and remains at that value while wa2 does not
change, determine the time for the effluent concentration to reach wA3 = 0.6. What is the
final value of the effluent concentration?
(c) If m, is changed from 120 kg/min to 150 kg/min without changing the feed
concentrations (WAI = WA2 = 0.5), what will be the final value of the liquid level in the
tank? Will the tank overflow?
(d) Would the results of part-c be different if the feed concentrations had changed at the
same time that the feed flow rate had changed?
Transcribed Image Text:2. Consider a cylindrical blending tank that has two feed streams (ṁ¡ and ṁ2) and one effluent stream (m3). The tank has a height of 2.5 m and a diameter of 2 m and the effluent flow rate is proportional to the liquid level in the tank: ṁ3=C\h. Under normal operating conditions, the liquid flow rates are ṁ1=120 kg/min, m2=100 kg/min. Also, the mass concentrations of the solute for the two feed streams are WA1 = WA2 = 0.5. The process has been operating for a long time so that it has reached steady-state with an effluent mass fraction of WA3 0.5 and liquid level h = 1.75 m. Assume the density of all streams is equal to 800 kg/m³, and the contents of the tank are well-mixed. (a) Determine the value of effluent mass flow rate m3. Also, determine the value of the constant C. (b) If wAi is suddenly changed from 0.5 to 0.7 and remains at that value while wa2 does not change, determine the time for the effluent concentration to reach wA3 = 0.6. What is the final value of the effluent concentration? (c) If m, is changed from 120 kg/min to 150 kg/min without changing the feed concentrations (WAI = WA2 = 0.5), what will be the final value of the liquid level in the tank? Will the tank overflow? (d) Would the results of part-c be different if the feed concentrations had changed at the same time that the feed flow rate had changed?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 8 steps with 19 images

Blurred answer
Knowledge Booster
Fixed bed separations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
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…
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…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The