A 1-butanol acid solution is to be extracted with pure water. The butanol solution contains 4.5 w

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A 1-butanol acid solution is to be extracted with pure water. The butanol solution contains 4.5wt% of acetic acid and flows at the rate of 400 kg/h. A total water flow rate of 1005 kg/h is used. Operation is at 298 K and 1 atm. For practical purposes, 1-butanol and water are immiscible. At 298 K, the equilibrium data can be represented by YAi=0.62XAi, where YAi is the weight ratio of acid in the aqueous phase and XAi is the weight ratio of acid in the organic phase.

(a) If the outlet butanol stream is to contain 0.10wt% acid, how many equilibrium stages are required for a countercurrent cascade?

(b) If the water is split up equally among the same number of stages, but in a cross-flow cascade, what is the outlet acid concentration in the organic phase?

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