Liquid-Liquid Extraction One thousand pounds per hour of a 40 wt% acetone (A) – 60 wt% water (W) solution is to be reduced to  5 wt% acetone with 400 lb/hr of 1,1,2-trichloroethane as solvent in a counter-current multistage contact  operation.  a) Determine the number of stages required for the separation. b) Find the intermediate concentrations of acetone in the extract and raffinate leaving each stage. c) Determine the flowrates of extract (E1) and raffinate (RN) using the graphical method and a component  balance of your choice. Confirm your calculated balances using another component balance.  d) What fraction of acetone (as % of the amount fed) would be recovered in the extract after two stages?

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Liquid-Liquid Extraction

One thousand pounds per hour of a 40 wt% acetone (A) – 60 wt% water (W) solution is to be reduced to 
5 wt% acetone with 400 lb/hr of 1,1,2-trichloroethane as solvent in a counter-current multistage contact 
operation. 
a) Determine the number of stages required for the separation.
b) Find the intermediate concentrations of acetone in the extract and raffinate leaving each stage.
c) Determine the flowrates of extract (E1) and raffinate (RN) using the graphical method and a component 
balance of your choice. Confirm your calculated balances using another component balance. 
d) What fraction of acetone (as % of the amount fed) would be recovered in the extract after two stages?

The image features a ternary phase diagram for a three-component system: Acetone, C₂H₅O₂, and Water. A ternary phase diagram is used to depict the phase behavior of mixtures with three components.

### Components:
- **Corners of the Triangle:**
  - **Top Corner:** Acetone
  - **Bottom Left Corner:** Ethyl Acetate (C₂H₅O₂)
  - **Bottom Right Corner:** Water

### Axes and Scales:
- Each side of the triangle represents the percentage composition of one of the components, ranging from 0% to 100%. 
- The composition is read along axes parallel to the sides of the triangle.

### Phase Regions:
- The lines within the triangle divide it into different regions representing different phases (e.g., single-phase, two-phase).
- Curved lines indicate equilibrium lines, illustrating the compositions at which the phases coexist.

### Reading the Diagram:
- A point within the triangle represents a specific mixture of the three components.
- To determine the phase of a specific mixture, locate the point corresponding to the mixture's composition and identify the region it falls into.

### Usage:
This type of diagram is crucial in chemical engineering and chemistry for understanding how different combinations of components behave, particularly in areas such as solvent extraction, distillation, and crystallization. 

This educational tool aids learners in visualizing complex three-component phase interactions and is essential for those studying material science, chemical engineering, or related disciplines.
Transcribed Image Text:The image features a ternary phase diagram for a three-component system: Acetone, C₂H₅O₂, and Water. A ternary phase diagram is used to depict the phase behavior of mixtures with three components. ### Components: - **Corners of the Triangle:** - **Top Corner:** Acetone - **Bottom Left Corner:** Ethyl Acetate (C₂H₅O₂) - **Bottom Right Corner:** Water ### Axes and Scales: - Each side of the triangle represents the percentage composition of one of the components, ranging from 0% to 100%. - The composition is read along axes parallel to the sides of the triangle. ### Phase Regions: - The lines within the triangle divide it into different regions representing different phases (e.g., single-phase, two-phase). - Curved lines indicate equilibrium lines, illustrating the compositions at which the phases coexist. ### Reading the Diagram: - A point within the triangle represents a specific mixture of the three components. - To determine the phase of a specific mixture, locate the point corresponding to the mixture's composition and identify the region it falls into. ### Usage: This type of diagram is crucial in chemical engineering and chemistry for understanding how different combinations of components behave, particularly in areas such as solvent extraction, distillation, and crystallization. This educational tool aids learners in visualizing complex three-component phase interactions and is essential for those studying material science, chemical engineering, or related disciplines.
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