Problem 2: A perfusion bioreactor used to grow bone has a volume of 500 mL as shown. Osteogenic medium is supplied continuously at a flow rate of 10 mL/minute. After a few hours, the cytokine bone-morphogenetic protein 2 (BMP-2) is added (i.e., t = 0) through the injection port at a constant rate for 15 minutes, such that the concentration going into the reactor chamber is 10 ng/mL. Assuming that the bioreactor is well mixed (i.e., treat it as a CSTR), determine the maximum concentration of BMP-2 (measured at the sample port) and what time after injection this maximum occurs. You can assume that there is no lag time between the concentration at the injection measured at the sample port and the concentration in the reactor chamber.
Problem 2: A perfusion bioreactor used to grow bone has a volume of 500 mL as shown. Osteogenic medium is supplied continuously at a flow rate of 10 mL/minute. After a few hours, the cytokine bone-morphogenetic protein 2 (BMP-2) is added (i.e., t = 0) through the injection port at a constant rate for 15 minutes, such that the concentration going into the reactor chamber is 10 ng/mL. Assuming that the bioreactor is well mixed (i.e., treat it as a CSTR), determine the maximum concentration of BMP-2 (measured at the sample port) and what time after injection this maximum occurs. You can assume that there is no lag time between the concentration at the injection measured at the sample port and the concentration in the reactor chamber.
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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![Problem 2: A perfusion bioreactor used to grow bone has a volume of 500 mL as
shown. Osteogenic medium is supplied continuously at a flow rate of 10 mL/minute.
After a few hours, the cytokine bone-morphogenetic protein 2 (BMP-2) is added (i.e., t =
0) through the injection port at a constant rate for 15 minutes, such that the
concentration going into the reactor chamber is 10 ng/mL. Assuming that the bioreactor
is well mixed (i.e., treat it as a CSTR), determine the maximum concentration of BMP-2
(measured at the sample port) and what time after injection this maximum occurs. You
can assume that there is no lag time between the concentration at the injection
measured at the sample port and the concentration in the reactor chamber.
Reactor
chamber
Pump
Sample Port
Injection
Port
8
Waste
Medium reservoir](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b0a0e92-51b4-46cf-b369-2c3f7bafb127%2F804c05c3-5178-4358-8c61-9d8c6bb32ee6%2Fcl4rms_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 2: A perfusion bioreactor used to grow bone has a volume of 500 mL as
shown. Osteogenic medium is supplied continuously at a flow rate of 10 mL/minute.
After a few hours, the cytokine bone-morphogenetic protein 2 (BMP-2) is added (i.e., t =
0) through the injection port at a constant rate for 15 minutes, such that the
concentration going into the reactor chamber is 10 ng/mL. Assuming that the bioreactor
is well mixed (i.e., treat it as a CSTR), determine the maximum concentration of BMP-2
(measured at the sample port) and what time after injection this maximum occurs. You
can assume that there is no lag time between the concentration at the injection
measured at the sample port and the concentration in the reactor chamber.
Reactor
chamber
Pump
Sample Port
Injection
Port
8
Waste
Medium reservoir
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Step 1: Calculate the volume of the bioreactor: Volume of bioreactor = 500 mL
VIEWStep 2: Calculate the flow rate of osteogenic medium:
VIEWStep 3: Calculate the injection time of BMP-2:
VIEWStep 4: Calculate the concentration of BMP-2 in the bioreactor at the end of injection:
VIEWStep 5: Calculate the maximum concentration of BMP-2 in the bioreactor and the time at which it occurs:
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