Calculate the maximum possible rate of oxygen uptake at 37 °C of microorganism having a diameter of 0.6667 um suspended in an agitated aqueous solution. It is assumed that the surrounding liquid is saturated with O₂ from air at 1 atm abs pressure. It will assumed that the microorganism can utilize the oxygen much faster than it can diffuse to it. The microorganism has a density very close to that of water. The solubility of O₂ from air in water at 37 °C is 2.26 x 10-4 kg mol O₂/m³. The diffusivity of O₂ in water at 37 °C is 3.25 x 109 m²/s. Agitation is used to produce the air bubbles. (Hint: Since the oxygen is consumed faster than it is supplied, the concentration CA2 at the surface is zero. The concentration CAI in the solution is at saturation.)
Calculate the maximum possible rate of oxygen uptake at 37 °C of microorganism having a diameter of 0.6667 um suspended in an agitated aqueous solution. It is assumed that the surrounding liquid is saturated with O₂ from air at 1 atm abs pressure. It will assumed that the microorganism can utilize the oxygen much faster than it can diffuse to it. The microorganism has a density very close to that of water. The solubility of O₂ from air in water at 37 °C is 2.26 x 10-4 kg mol O₂/m³. The diffusivity of O₂ in water at 37 °C is 3.25 x 109 m²/s. Agitation is used to produce the air bubbles. (Hint: Since the oxygen is consumed faster than it is supplied, the concentration CA2 at the surface is zero. The concentration CAI in the solution is at saturation.)
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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Transcribed Image Text:Calculate the maximum possible rate of oxygen uptake at 37 °C of microorganism having a
diameter of 0.6667 um suspended in an agitated aqueous solution. It is assumed that the
surrounding liquid is saturated with O₂ from air at 1 atm abs pressure. It will assumed that the
microorganism can utilize the oxygen much faster than it can diffuse to it. The microorganism has
a density very close to that of water. The solubility of O₂ from air in water at 37 °C is 2.26 x 10-4
kg mol O₂/m³. The diffusivity of O₂ in water at 37 °C is 3.25 x 109 m²/s. Agitation is used to
produce the air bubbles.
(Hint: Since the oxygen is consumed faster than it is supplied, the concentration CA2 at the surface
is zero. The concentration CAI in the solution is at saturation.)
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