Refer to the boiling point -composition curve and estimate the composition of the distillate of a mixture of benzene and toluene that is collected at 95 °C. Normal boiling point, °C 110 105 100 Liquid 95 90 1 85 80 Toluene 0.200 0.400 0.600 0.800 Mole fraction of benzene (Xbenz.) 60% benzene 50% benzene Vapor 40% benzene Benzene
Refer to the boiling point -composition curve and estimate the composition of the distillate of a mixture of benzene and toluene that is collected at 95 °C. Normal boiling point, °C 110 105 100 Liquid 95 90 1 85 80 Toluene 0.200 0.400 0.600 0.800 Mole fraction of benzene (Xbenz.) 60% benzene 50% benzene Vapor 40% benzene Benzene
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
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![### Estimation of Benzene-Toluene Mixture Composition
#### Problem Statement
Refer to the boiling point-composition curve and estimate the composition of the distillate of a mixture of benzene and toluene that is collected at 95 °C.
#### Graph Explanation
The graph depicted in the figure illustrates the relationship between the normal boiling point (°C) and the mole fraction of benzene (\( x_{benz.} \)) in a benzene-toluene mixture. The x-axis represents the mole fraction of benzene, ranging from 0 (pure toluene) to 1 (pure benzene). The y-axis represents the normal boiling point in °C, ranging from 80°C to 110°C.
The curve in green is the vapor line, while the curve in black represents the liquid line. The region between the two lines represents a mixture of liquid and vapor phases.
#### Steps for Estimation
1. Locate the temperature 95 °C on the y-axis.
2. From 95 °C on the y-axis, draw a horizontal line until it intersects the liquid line (black curve) and the vapor line (green curve).
3. The points where the horizontal line intersects the liquid line and the vapor line give the mole fractions of benzene in the liquid and vapor phases, respectively.
4. The intersection points are marked, and correspond to:
- Liquid (intersection with black curve): Between 0.200 and 0.400 mole fraction of benzene.
- Vapor (intersection with green curve): Between 0.600 and 0.800 mole fraction of benzene.
Based on this graphical analysis and given options:
- 60% benzene
- 50% benzene
- 40% benzene
- 70% benzene
- 85% benzene
The composition of the distillate collected at 95 °C is closest to **40% benzene**.
### Multiple Choice Question:
- [ ] 60% benzene
- [ ] 50% benzene
- [x] 40% benzene
- [ ] 70% benzene
- [ ] 85% benzene](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac4ecf6d-2ca9-4d7a-9411-ad5c7f2c67b6%2Fdcee52ff-e3e6-47fd-b0d3-7e7ad8c410a4%2Fiuoy0be_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Estimation of Benzene-Toluene Mixture Composition
#### Problem Statement
Refer to the boiling point-composition curve and estimate the composition of the distillate of a mixture of benzene and toluene that is collected at 95 °C.
#### Graph Explanation
The graph depicted in the figure illustrates the relationship between the normal boiling point (°C) and the mole fraction of benzene (\( x_{benz.} \)) in a benzene-toluene mixture. The x-axis represents the mole fraction of benzene, ranging from 0 (pure toluene) to 1 (pure benzene). The y-axis represents the normal boiling point in °C, ranging from 80°C to 110°C.
The curve in green is the vapor line, while the curve in black represents the liquid line. The region between the two lines represents a mixture of liquid and vapor phases.
#### Steps for Estimation
1. Locate the temperature 95 °C on the y-axis.
2. From 95 °C on the y-axis, draw a horizontal line until it intersects the liquid line (black curve) and the vapor line (green curve).
3. The points where the horizontal line intersects the liquid line and the vapor line give the mole fractions of benzene in the liquid and vapor phases, respectively.
4. The intersection points are marked, and correspond to:
- Liquid (intersection with black curve): Between 0.200 and 0.400 mole fraction of benzene.
- Vapor (intersection with green curve): Between 0.600 and 0.800 mole fraction of benzene.
Based on this graphical analysis and given options:
- 60% benzene
- 50% benzene
- 40% benzene
- 70% benzene
- 85% benzene
The composition of the distillate collected at 95 °C is closest to **40% benzene**.
### Multiple Choice Question:
- [ ] 60% benzene
- [ ] 50% benzene
- [x] 40% benzene
- [ ] 70% benzene
- [ ] 85% benzene
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