For aerobic fermentation, calculate the oxygen mass-transfer rate (mol/s) from each 100m-diameter air bubble into a fermentation broth modeled as O2-free water at 37C and 1atm. The result will estimate the maximum possible rate. Equilibrium solubility is 2.26107molO2/cm3 water, and O2 diffusivity at these conditions is 3.25109m2/s. Assume bubble composition is uniform (no mass-transfer resistance within the gas). Correlations for convective mass transfer coefficients around small particles or gas bubbles (2.5mm) are given respectively as: kL,2.5=0.42(c2cg)1/3NSc0.5 where kL is the dilute convective mass transfer coefficient in m/s,DAB is diffusivity of solute through the liquid in m2/s,dp is diameter of the particles or bubbles in m, is the positive difference between density of the particle (or bubble) vs the solution in kg/m3,c is the viscosity of the liquid ("contnuous phase") in kgm1s1,g=9.80665m/s2,c is density of the liquid in kg/m3, and NSc is the Schmidt number. The first term is for pure molecular diffusion, and the second term is for convention by gravitational fall or buoyant rise