. Consider a mixture of 2 moles of 1-propanol and 8 moles of water at 1 atm (760 mmHg) (a) What would be the composition (mole fractions) of the liquid and gas phases if the system is maintained in equilibrium at 92.35 °C? (b) ) How many moles

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
Section: Chapter Questions
Problem 1.1P
icon
Related questions
Question


5. Consider a mixture of 2 moles of 1-propanol and 8 moles of water at 1 atm (760 mmHg)
(a) What would be the composition (mole fractions) of the liquid and gas phases if the system is maintained in equilibrium at 92.35 °C?
(b) ) How many moles would be in each phase?

Data on the system 1-propanol and water is presented in Figure 5 and Table VIII of: Murti, P., & Van Winkle, M. (1958).

I have attached the table to this questionss

### Thermodynamic Diagrams for Binary Solutions

#### Figure 3. T-X-Y and P-T-X-Y Diagrams for 1-Propanol-Ethyl Acetate

The left panel in Figure 3 displays the phase diagrams for the binary system of 1-propanol and ethyl acetate:

1. **Top Graph (T-X-Y Diagram)**:
   - **Y-axis (left)**: Temperature (°C), ranging from approximately 75°C to 95°C.
   - **X-axis**: Mole fraction of 1-propanol, ranging from 0 to 1.0.
   - **Graph Description**: This graph illustrates the relationship between temperature and the mole fraction of 1-propanol at a constant total pressure of 760 mm Hg. The equilibrium liquid (line with circles at higher temperatures) and vapor compositions (line with circles at lower temperatures) are plotted as functions of temperature and mole fraction of 1-propanol.

2. **Middle Graph (P-T-X-Y Diagram)**:
   - **Y-axis (left)**: Total Pressure (mm Hg), ranging from 200 mm Hg to 400 mm Hg.
   - **X-axis**: Mole fraction of 1-propanol, ranging from 0 to 1.0.
   - **Graph Description**: This graph shows the relationship between total pressure and mole fraction of 1-propanol at a constant temperature of 60°C. It features lines denoting equilibrium liquid and vapor pressures.

3. **Bottom Graph (P-T-X-Y Diagram)**:
   - **Y-axis (left)**: Total Pressure (mm Hg), ranging from 100 mm Hg to 300 mm Hg.
   - **X-axis**: Mole fraction of 1-propanol, ranging from 0 to 1.0.
   - **Graph Description**: This graph plots the relationship between total pressure and mole fraction of 1-propanol at a constant temperature of 40°C. Lines with circles represent equilibrium liquid and vapor pressures.

#### Figure 5. T-X-Y and P-T-X-Y Diagrams for 1-Propanol-Water

The right panel in Figure 3 displays the phase diagrams for the binary system of 1-propanol and water:

1. **Top Graph (T-X-Y Diagram)**:
   - **Y-axis (left)**: Temperature (°C), ranging from approximately 85°C to
Transcribed Image Text:### Thermodynamic Diagrams for Binary Solutions #### Figure 3. T-X-Y and P-T-X-Y Diagrams for 1-Propanol-Ethyl Acetate The left panel in Figure 3 displays the phase diagrams for the binary system of 1-propanol and ethyl acetate: 1. **Top Graph (T-X-Y Diagram)**: - **Y-axis (left)**: Temperature (°C), ranging from approximately 75°C to 95°C. - **X-axis**: Mole fraction of 1-propanol, ranging from 0 to 1.0. - **Graph Description**: This graph illustrates the relationship between temperature and the mole fraction of 1-propanol at a constant total pressure of 760 mm Hg. The equilibrium liquid (line with circles at higher temperatures) and vapor compositions (line with circles at lower temperatures) are plotted as functions of temperature and mole fraction of 1-propanol. 2. **Middle Graph (P-T-X-Y Diagram)**: - **Y-axis (left)**: Total Pressure (mm Hg), ranging from 200 mm Hg to 400 mm Hg. - **X-axis**: Mole fraction of 1-propanol, ranging from 0 to 1.0. - **Graph Description**: This graph shows the relationship between total pressure and mole fraction of 1-propanol at a constant temperature of 60°C. It features lines denoting equilibrium liquid and vapor pressures. 3. **Bottom Graph (P-T-X-Y Diagram)**: - **Y-axis (left)**: Total Pressure (mm Hg), ranging from 100 mm Hg to 300 mm Hg. - **X-axis**: Mole fraction of 1-propanol, ranging from 0 to 1.0. - **Graph Description**: This graph plots the relationship between total pressure and mole fraction of 1-propanol at a constant temperature of 40°C. Lines with circles represent equilibrium liquid and vapor pressures. #### Figure 5. T-X-Y and P-T-X-Y Diagrams for 1-Propanol-Water The right panel in Figure 3 displays the phase diagrams for the binary system of 1-propanol and water: 1. **Top Graph (T-X-Y Diagram)**: - **Y-axis (left)**: Temperature (°C), ranging from approximately 85°C to
### Vapor-Liquid Equilibrium and Van Laar Constants for the 1-Propanol-Water System

This section provides detailed data on the experimental vapor-liquid equilibrium of the 1-Propanol-Water system at a pressure of 760 mm Hg, as presented in Table VIII. Additionally, Table IX presents Van Laar constants for various binary systems. A graph depicting equilibrium data is also provided for a clearer understanding.

#### Table VIII: Experimental Vapor-Liquid Equilibrium Data at 760 mm of Mercury Pressure for System 1-Propanol-Water

| \( x_1 \) | \( y_1 \) | \( t \), °C | \( \gamma_1 \) | \( \gamma_2 \) |
|---------|----------|-----------|------------|------------|
| 0.0390  | 0.2810   | 92.35     | 8.735      | 0.990      |
| 0.0720  | 0.3600   | 88.85     | 6.986      | 1.042      |
| 0.0750  | 0.3750   | 89.05     | 6.921      | 1.014      |
| 0.1790  | 0.3880   | 87.95     | 3.135      | 1.163      |
| 0.2000  | 0.3790   | 88.00     | 2.738      | 1.211      |
| 0.4250  | 0.4260   | 87.50     | 1.478      | 1.588      |
| 0.4820  | 0.4380   | 87.80     | 1.323      | 1.706      |
| 0.7120  | 0.5600   | 89.20     | 1.092      | 2.079      |
| 0.8500  | 0.6850   | 91.70     | 1.003      | 2.847      |
| 0.9400  | 0.8550   | 95.00     | 0.994      | 3.006      |

| \( x_1 \) |
Transcribed Image Text:### Vapor-Liquid Equilibrium and Van Laar Constants for the 1-Propanol-Water System This section provides detailed data on the experimental vapor-liquid equilibrium of the 1-Propanol-Water system at a pressure of 760 mm Hg, as presented in Table VIII. Additionally, Table IX presents Van Laar constants for various binary systems. A graph depicting equilibrium data is also provided for a clearer understanding. #### Table VIII: Experimental Vapor-Liquid Equilibrium Data at 760 mm of Mercury Pressure for System 1-Propanol-Water | \( x_1 \) | \( y_1 \) | \( t \), °C | \( \gamma_1 \) | \( \gamma_2 \) | |---------|----------|-----------|------------|------------| | 0.0390 | 0.2810 | 92.35 | 8.735 | 0.990 | | 0.0720 | 0.3600 | 88.85 | 6.986 | 1.042 | | 0.0750 | 0.3750 | 89.05 | 6.921 | 1.014 | | 0.1790 | 0.3880 | 87.95 | 3.135 | 1.163 | | 0.2000 | 0.3790 | 88.00 | 2.738 | 1.211 | | 0.4250 | 0.4260 | 87.50 | 1.478 | 1.588 | | 0.4820 | 0.4380 | 87.80 | 1.323 | 1.706 | | 0.7120 | 0.5600 | 89.20 | 1.092 | 2.079 | | 0.8500 | 0.6850 | 91.70 | 1.003 | 2.847 | | 0.9400 | 0.8550 | 95.00 | 0.994 | 3.006 | | \( x_1 \) |
Expert Solution
steps

Step by step

Solved in 5 steps with 10 images

Blurred answer
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The