An airborne spherical cellular organism, 0.010 cm in diameter, utilizes 4.0 g·mole O2 per hour per kg cell mass. Assume Sh = 4 for external convective resistance to O2 transfer to the cell. Assume zero-order kinetics for respiration. What is the concentration of O2 at the center of the cell? [Ans: 1 à 10-6 g·mole/cm3 ] Notes: Sh = kd/DAB is based on DAB in the gas phase and DAB = 0.20 cm2 /s, which can be estimated from Chapman-Enskog equation. The diffusion coefficient for O2 through the cellular material is 10-5 cm 2 /s. The solubility of oxygen in the cellular material is 1.4 à 10-6 mol/cm3 , in equilibrium with air at 25o C and one atmosphere total pressure. The density of cell: Ï = 1 g/cm3 . At the cell surface (r = R), CA = αPA, where α = 7 x 10-6 g·mol/cm3 ·atm.
An airborne spherical cellular organism, 0.010 cm in diameter, utilizes 4.0 g·mole O2 per hour per kg cell mass. Assume Sh = 4 for external convective resistance to O2 transfer to the cell. Assume zero-order kinetics for respiration. What is the concentration of O2 at the center of the cell? [Ans: 1 à 10-6 g·mole/cm3 ] Notes: Sh = kd/DAB is based on DAB in the gas phase and DAB = 0.20 cm2 /s, which can be estimated from Chapman-Enskog equation. The diffusion coefficient for O2 through the cellular material is 10-5 cm 2 /s. The solubility of oxygen in the cellular material is 1.4 à 10-6 mol/cm3 , in equilibrium with air at 25o C and one atmosphere total pressure. The density of cell: Ï = 1 g/cm3 . At the cell surface (r = R), CA = αPA, where α = 7 x 10-6 g·mol/cm3 ·atm.
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