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

Transcribed Image Text:

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