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Consider a bacillus of radius r0 within which respiration occurs at a uniform volumetric velocity. See...

Consider a bacillus of radius r0 within which respiration occurs at a uniform volumetric velocity. See image below. The oxygen consumption inside it (species A) is governed by a homogeneous chemical reaction of order one.
(a) If a molar concentration of CA (r0) = CA0 is maintained on the surface of the organism, obtain an expression for the radial distribution of oxygen, CA (r), within the organism.

(b) Obtain an expression for the rate of consumption of NA oxygen within the body.

Assume:

- There is no flow along the cylinder axis
- The system is subject to stationary conditions

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