A total of 5.0g of wet microorganisms having a density of 1100kg/m3 and a diameter of 0.667m are added to 0.100L of aqueous solution at 37C in a shaker flask for a fermentation. Air can enter through a porous stopper. (a) Calculate the maximum rate possible for mass transfer of oxygen in kmolO/s to the surface of the microorganisms, assuming that the solution is saturated with air at 101.32kPa absolute pressure. (b) By material balances on other nutrients, the actual utilization of O2 by the microorganism the microorganisms is 6.30105kmolO2//s. What would be the actual concentration of O2 in the solution as percent saturation during the fermentation? The solubility of O2 from air in water at 37C is 2.26107 molO/cm3 liquid or 2.26104kmolO/m3. The diffusivity of O2 in water at 37C is 3.2510m/s. For mass transfer from small gas bubbles such as oxygen or air to the liquid phase or from the liquid phase to the surface of small catalyst particles, microorganisms, other solids or liquid drops, the mass transfer coefficient is given by: kL=Dp2Ds+0.311Sc22/((e2cg)1/3 where DAB is the diffusivity of the solute A in solution (m2/s), Dp is the diameter of the gas bubble or solid particle (m),c is the viscosity of the solution (kg/m.s),g is the acceleration due to gravity, is the difference in densities of the solid particle and the continuous phase. (kg/m3, always positive )