Referring to Problem 14.34, a more representative model of respiration in a spherical organism is one for

Question:

Referring to Problem 14.34, a more representative model of respiration in a spherical organism is one for which oxygen consumption is governed by a first-order reaction of the form N_A = – k₁C_A.

(a) If a molar concentration of C_A (r₀) = C_{A, 0} is maintained at the surface of the organism, obtain an expression for the radial distribution of oxygen, C_A(r), within the organism.

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

(c) Consider an organism of radius r₀ = 0.10 mm and a diffusion coefficient of D_AB = 10^-8 m²/s. If C_A,0 = 5 z 10^-5k mol/m³ and k₁ = 20 S^–1, estimate the corresponding value of the molar concentration at the center of the organism. What is the rate of oxygen consumption by the organism?

Distribution
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