Acetic acid is extracted from water with isopropyl ether at \(20^{\circ} \mathrm{C}\) and 1 \(\mathrm{atm}\) pressure in a column with three equilibrium stages. Equilibrium data are in Table 13-7. Entering feed rate is \(1000 \mathrm{~kg} / \mathrm{h}\), and feed is 40 \(\mathrm{wt} \%\) acetic acid and \(60 \mathrm{wt} \%\) water. Exiting extract stream has a flow rate of \(2500 \mathrm{~kg} / \mathrm{h}\) and is \(20 \mathrm{wt} \%\) acetic acid. Entering extract stream (which is not pure isopropyl ether) contains no water. Trial and error is not needed. Find

a. Exit raffinate concentration.

b. Required entering extract stream concentration.

c. Flow rates of exiting raffinate and entering extract streams.

Table 13-7

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TABLE 13-7. Equilibrium data for water-acetic acid-isopropyl ether at 20C and 1 atm Water Layer, weight % Isopropyl Ether Layer, weight % Acetic Acid XA Water xp Isopropyl Ether xs Acetic Acid YA Water yp Isopropyl Ether ys 0.69 98.1 1.2 0.18 0.5 99.3 1.41 97.1 1.5 0.37 0.7 98.9 2.89 95.5 1.6 0.79 0.8 98.4 6.42 91.7 1.9 1.93 1.0 97.1 13.30 84.4 2.3 4.82 1.9 93.3 25.50 71.1 3.4 11.40 3.9 84.7 36.70 58.9 4.4 21.60 6.9 71.5 44.30 45.1 10.6 31.10 10.8 58.1 46.40 37.1 16.5 36.20 15.1 48.7