Referring to .34, a more representativemodel of

Chapter 14, Problem 14.35

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Referring to 14.34, a more representativemodel of respiration in a spherical organism is one forwhich oxygen consumption is governed by a first-order reaction of the form .(a) If a molar concentration of CA(ro)?CA,ois main-tained at the surface of the organism, obtain anexpression for the radial distribution of oxygen,CA(r), within the organism. Hint: To simplifysolution of the species diffusion equation, invokethe transformation y?rCA.(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 of DAB?10?8m2/s. IfCA,o?5?10?5kmol/m3and k1?20 s?1, esti-mate the corresponding value of the molar con-centration at the center of the organism. What isthe rate of oxygen consumption by the organism?

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