The oxygen mass transfer coefficient in fermentation vessels is determihed TPom measurements using the formula: OTR kLa CAL-CAL where kLa 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. CA is estimated to be 0.25 mol-m-3 with an uncertainty of +4%; CAL is measured as 0.183 mol-m-3 also with an uncertainty of +4%. If the OTR is 0.011 mol-m-3.s-1 with an uncertainty of ±5%, what is the maximum possible error associated with kLa expressed as relative error (%)?

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The oxygen mass transfer coefficient in fermentation vessels is determined from experimental
measurements using the formula:
OTR
kLa
CAL -CAL
where kLa 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. CA is estimated to be
0.25 mol-m-3 with an uncertainty of ±4%; CAL is measured as 0.183 mol-m-3 also with an uncertainty of
+4%. If the OTR is 0.011 mol-m-3.s-1 with an uncertainty of +5%, what is the maximum possible
error associated with kLa expressed as relative error (%)?
Transcribed Image Text:The oxygen mass transfer coefficient in fermentation vessels is determined from experimental measurements using the formula: OTR kLa CAL -CAL where kLa 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. CA is estimated to be 0.25 mol-m-3 with an uncertainty of ±4%; CAL is measured as 0.183 mol-m-3 also with an uncertainty of +4%. If the OTR is 0.011 mol-m-3.s-1 with an uncertainty of +5%, what is the maximum possible error associated with kLa expressed as relative error (%)?
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