An aqueous feed solution of 1000 kg/h of acetic acid–water solution contains 30.0 wt % acetic acid and is to be extracted in a countercurrent multistage process with pure isopropyl ether to reduce the acid concentration to 2.0 wt % acid in the final raffinate (Use equilibrium data from the picture attached.)   a) Calculate the minimum solvent flow rate that can be used.

Introduction to Chemical Engineering Thermodynamics
8th Edition
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Chapter1: Introduction
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An aqueous feed solution of 1000 kg/h of acetic acid–water solution contains 30.0 wt % acetic acid and is to be extracted in a countercurrent multistage process with pure isopropyl ether to reduce the acid concentration to 2.0 wt % acid in the final raffinate (Use equilibrium data from the picture attached.)

 

a) Calculate the minimum solvent flow rate that can be used.

 

b) If 2500 kg/h of ether solvent is used, determine the number of theoretical stages required. (Note: It may be necessary to replot on an expanded scale the concentrations at the dilute end.).

 

c) Determine the number of theoretical stages by solving the equations.
A.3-24 Acetic Acid-Water-Isopropyl Ether System,
Liquid-Liquid Equilibria at 293 K or 20°C
Water Layer (wt %)
Isopropyl Ether Layer (wt %)
Isopropyl
Ether
Isopropyl
Ether
Acetic Acid
Water
Acetic Acid
Water
1.2
1.2
1.5
99.4
98.8
98.1
97.1
0.6
0.69
0.18
0.5
99.3
98.9
98.4
1.41
0.37
0.7
0.79
1.93
4.82
2.89
95.5
1.6
0.8
1.9
2.3
6.42
91.7
1.0
97.1
13.30
84.4
1.9
93.3
25.50
71.1
3.4
11.40
3.9
84.7
36.70
58.9
4.4
6.9
71.5
21.60
31.10
44.30
45.1
58.1
10.6
16.5
10.8
46.40
37.1
36.20
15.1
48.7
Source : Trans. A.1.Ch.E., 36, 601, 628 (1940). With permission.
Transcribed Image Text:A.3-24 Acetic Acid-Water-Isopropyl Ether System, Liquid-Liquid Equilibria at 293 K or 20°C Water Layer (wt %) Isopropyl Ether Layer (wt %) Isopropyl Ether Isopropyl Ether Acetic Acid Water Acetic Acid Water 1.2 1.2 1.5 99.4 98.8 98.1 97.1 0.6 0.69 0.18 0.5 99.3 98.9 98.4 1.41 0.37 0.7 0.79 1.93 4.82 2.89 95.5 1.6 0.8 1.9 2.3 6.42 91.7 1.0 97.1 13.30 84.4 1.9 93.3 25.50 71.1 3.4 11.40 3.9 84.7 36.70 58.9 4.4 6.9 71.5 21.60 31.10 44.30 45.1 58.1 10.6 16.5 10.8 46.40 37.1 36.20 15.1 48.7 Source : Trans. A.1.Ch.E., 36, 601, 628 (1940). With permission.
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