Problem 1 : Consider a spherical organism of radius R within which respiration occurs at a uniform volumetric rate of rA=k1CA. That is, oxygen (species A) consumption is governed by a first-order, homogeneous chemical reaction. A molar concentration of CA(R)=CA,0 is maintained at the surface of the organism, and an expression for the radial distribution of oxygen, CA(r), within the organism is given by CA(r)=CA,0rRsinh(R)sinh(r) Data: R=0.15mm, diffusion coefficient for oxygen transfer DAB=108m2/s,CA,0= 6105kmol/m3. a) If =4104m1, the concentration of oxygen at the center of the organism is Unit kmol/m3 b) If =4.0104m1, the consumption of A within the particle is Unit kmol/s c) If the reaction is zero order with rate constant =0.15kmol/s3m3, the consumption of A within the particle is