The oxygen mass transfer coefficient in fermentation vessels is determined from experimental measurements using the formula: OTR %3D CAL-CAL where k, is the mass transfer coefficient, OTR is the oxygen transfer rate, is the solubility of oxygen in the fermentation broth, and CAL is the dissolved oxygen concentration. CAL is estimated to be 0.25 mol · m3 with an uncertainty of ±4%; CAL is measured as 0.183 mol - m3 also with an uncertainty of +4%. If the OTR is 0.011 mol · m3.s with an uncertainty of 15%, what is the maximum possible error associated with ka expressed as relative error (%)?

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
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The oxygen mass transfer coefficient in fermentation vessels is determined from experimental
measurements using the formula:
OTR
CAL-CAL
where k, is the mass transfer coefficient, OTR is the oxygen transfer rate, is the solubility of oxygen in
the fermentation broth, and CAL is the dissolved oxygen concentration. CAL is estimated to be
0.25 mol · m3 with an uncertainty of ±4%; CAL is measured as 0.183 mol · m3 also with an uncertainty of
+4%. If the OTR is 0.011 mol · m3.s with an uncertainty of 15%, what is the maximum possible
error associated with k. expressed as relative error (%)?
Transcribed Image Text:The oxygen mass transfer coefficient in fermentation vessels is determined from experimental measurements using the formula: OTR CAL-CAL where k, is the mass transfer coefficient, OTR is the oxygen transfer rate, is the solubility of oxygen in the fermentation broth, and CAL is the dissolved oxygen concentration. CAL is estimated to be 0.25 mol · m3 with an uncertainty of ±4%; CAL is measured as 0.183 mol · m3 also with an uncertainty of +4%. If the OTR is 0.011 mol · m3.s with an uncertainty of 15%, what is the maximum possible error associated with k. expressed as relative error (%)?
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