Absorption of oxygen from a growing bubble (Fig 20A 2), oxygen is being injected into pure water from a capillary tube The system is virtually isothermal and isobaric at 25C and 1 atm The solubility of oxygen in the liquid phase is w A0 7 78 x 10 4 , and the liquid phase diffusivity for the oxygen water pair is D AB 2 60 x 10 5 cm 2 s Calculate the instantaneous total absorption rate in g s, for a bubble of I mm diameter and age t 2 s, assuming (a) Constant volumetric growth rate (b) Constant radial growth rate dr s dt Effective outer limit of diffusional boundary layer r, (t) Spherical bubble of gas A y r r, Gas liquid interface Surrounding pure liquid B Capillary tube Pure gas

Question: Absorption of oxygen from a growing bubble (Fig. 20A.2), oxygen is being injected into pure water from a capillary tube. The system is virtually isothermal

Absorption of oxygen from a growing bubble (Fig. 20A.2), oxygen is being injected into pure water from a capillary tube. The system is virtually isothermal and isobaric at 25°C and 1 atm. The solubility of oxygen in the liquid phase is w_A0 = 7.78 x 10^-4, and the liquid-phase diffusivity for the oxygen-water pair is D_AB = 2.60 x 10^-5 cm²/s. Calculate the instantaneous total absorption rate in g/s, for a bubble of I mm diameter and age t = 2 s, assuming

(a) Constant volumetric growth rate

(b) Constant radial growth rate dr_s/dt

Effective outer - limit of diffusional boundary layer -r, (t)- Spherical bubble of gas A -y=r-r, Gas-liquid interface Su

Effective outer - limit of diffusional boundary layer -r, (t)- Spherical bubble of gas A -y=r-r, Gas-liquid interface Surrounding pure liquid B -Capillary tube Pure gas

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