Consider a spherical organism of radius ro within which respiration occurs at a uniform volumetric rate NA=-k0 mol/m3 s. That is the oxygen (Species A) consumption is governed by a zeroth-order, homogeneous chemical reaction. To sustain growth of the mechanism, the concentration of oxygen must be greater than zero everywhere. For the conditions given above, what is the maximum size (radius ro mm) that the organism can grow? Set DAB =10^8 m2/s,k0 = 10^4 kmol/m3 s and CA0 = 10^4 kmol/m3. Assume steady 1D diffusion, spherical symmetry and constant physical properties.