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Question 29.4: Awastewater stream is introduced to the top of a mass-transf...

A wastewater stream is introduced to the top of a mass-transfer tower where it flows countercurrent to an air stream. At one point in the tower, the wastewater stream contains 1 \times 10^{-3} \mathrm{~g} \mathrm{~mol} \mathrm{~A} / \mathrm{m}^{3} and the air is essentially free of any A. At the operating conditions within the tower, the film mass-transfer coefficients are k_{L}=5 \times 10^{-4} \mathrm{~kg} / \mathrm{mol} / \mathrm{m}^{2} \cdot \mathrm{s} \cdot\left(\mathrm{kg} \mathrm{mol} / \mathrm{m}^{3}\right) and k_{G}=0.01 \mathrm{~kg} \mathrm{~mol} / \mathrm{m}^{2} \cdot \mathrm{s} \cdot \mathrm{atm}. The concentrations are in the Henry’s law region where p_{A, \mathrm{i}}=H c_{A, \mathrm{i}} with H=10 \mathrm{~atm} /\left(\mathrm{kg} \mathrm{mol} / \mathrm{m}^{3}\right). Determine

(a) the overall mass flux of A.

(b) the overall mass-transfer coefficients, K_{L} and K_{G}.

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