Question
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(Diffusion through a converging-diverging region) Two 'large' vessels containing mixtures of O2(A) and CO2(B) are connected by a tube having converging and diverging sections as shown in Figure 2.18. The partial pressure of oxygen in vessel 1 is pA1 = 0.3 bar and that in vessel 2 is pA2 = 0.1 bar. The total pressure is 1.013 bar in both the vessels and the temperature is 20 degree C. Calculate the rate of diffusion of oxygen through the tube at steady state. What would be the partial pressure of carbon dioxide and its gradient at the neck (i.e. at the point of the smallest cross-section) of the connecting tube? Given: DAB = 0.153 cm2/s; r1 = 5 cm; r2 = 10 cm; throat radius, r = 2.5 cm; length of the two sections, l1 = 12 cm, l2 = 20 cm.
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