Consider a spherical organism of radius rowithinwhich
Chapter 14, Problem 14.34(choose chapter or problem)
Consider a spherical organism of radius rowithinwhich respiration occurs at a uniform volumetric rateof . That is, oxygen (species A) consumptionis governed by a zero-order, homogeneous chemicalreaction.(a) If a molar concentration of CA(ro)?CA,ois main-tained at the surface of the organism, obtain an expression for the radial distribution of oxygen,CA(r), within the organism. From your solution,can you discern any limits on applicability of theresult?(b) Obtain an expression for the rate of oxygen con-sumption within the organism.(c) Consider an organism of radius ro?0.10 mm anda diffusion coefficient for oxygen transfer ofDAB?10?8m2/s. IfCA,o?5?10?5kmol/m3 and k0?1.2?10?4kmol/s?m3, what is the molarconcentration of O2 at the center of the organism?
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