Alcohol-water mixtures (MeOH-water) Do the numbers on the x-axis refer to mole fraction of methanol or mole fraction of water? (MeOH-water) If a mixture of methanol and water is distilled to maximum theoretical separation, what will come out of the top of the distillation column? (C3H5OH-water) Suppose you mix 4.0 moles of water with 1.0 mole of propanol at room temperature, then heat it. What will be the composition (mole fraction) in the first vapor?

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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Alcohol-water mixtures

  1. (MeOH-water) Do the numbers on the x-axis refer to mole fraction of methanol or mole fraction of water?
  2. (MeOH-water) If a mixture of methanol and water is distilled to maximum theoretical separation, what will come out of the top of the distillation column?
  3. (C3H5OH-water) Suppose you mix 4.0 moles of water with 1.0 mole of propanol at room temperature, then heat it. What will be the composition (mole fraction) in the first vapor?
  4. (C3H5OH-water) If a mixture of methanol and water is distilled to maximum theoretical separation, what will come out of the top of the distillation column?
  5. (3 pts) If you have an initial liquid with a mole fraction of methanol of 0.1, how many theoretical plates are necessary to prepare a mixture which is at least 80% (mole percent) of MeOH?
  6. (3 pts) If you have an initial liquid with a mole fraction of C3H5OH of 0.1, how many theoretical plates are necessary to prepare a mixture which is at least 50% (mole percent) of C3H5OH?
### Transcription for Educational Website

**Title: Txy Diagram for Methanol and Water**

**Graph Explanation:**

This graph is a Txy diagram illustrating the phase behavior of a binary mixture of methanol and water. It shows the relationship between temperature and composition at equilibrium.

- **Axes:**
  - The x-axis represents the composition of the mixture, ranging from 0 to 1. The value of 0 indicates pure water, while 1 indicates pure methanol.
  - The y-axis represents the temperature in degrees Celsius (°C), ranging from 60°C to 110°C.

- **Lines:**
  - The line in pink is the dew point curve, which indicates the temperature at which vapor starts to condense as the mixture is cooled at constant composition.
  - The line in blue is the bubble point curve, which indicates the temperature at which the liquid begins to boil or vaporize as the temperature rises at constant composition.

- **Phase Regions:**
  - The area between the pink and blue curves represents the two-phase region where both liquid and vapor coexist.
  - The area above the pink line is the vapor region, where the mixture fully exists as vapor.
  - The area below the blue line is the liquid region, where the mixture fully exists as liquid.

This diagram is useful for understanding the distillation process and the separation of methanol and water based on their relative volatilities. The distinct separation of the bubble and dew point curves reflects the differences in volatility between methanol and water.
Transcribed Image Text:### Transcription for Educational Website **Title: Txy Diagram for Methanol and Water** **Graph Explanation:** This graph is a Txy diagram illustrating the phase behavior of a binary mixture of methanol and water. It shows the relationship between temperature and composition at equilibrium. - **Axes:** - The x-axis represents the composition of the mixture, ranging from 0 to 1. The value of 0 indicates pure water, while 1 indicates pure methanol. - The y-axis represents the temperature in degrees Celsius (°C), ranging from 60°C to 110°C. - **Lines:** - The line in pink is the dew point curve, which indicates the temperature at which vapor starts to condense as the mixture is cooled at constant composition. - The line in blue is the bubble point curve, which indicates the temperature at which the liquid begins to boil or vaporize as the temperature rises at constant composition. - **Phase Regions:** - The area between the pink and blue curves represents the two-phase region where both liquid and vapor coexist. - The area above the pink line is the vapor region, where the mixture fully exists as vapor. - The area below the blue line is the liquid region, where the mixture fully exists as liquid. This diagram is useful for understanding the distillation process and the separation of methanol and water based on their relative volatilities. The distinct separation of the bubble and dew point curves reflects the differences in volatility between methanol and water.
**Title: Txy Diagram for Propanol and Water**

**Description:**

The image presents a Txy diagram for a binary mixture of propanol and water. This diagram is used to illustrate the phase behavior of the mixture at constant pressure, showing the relationship between temperature and composition.

**Graph Details:**

- **Axes:**
  - The x-axis represents the composition of the mixture, ranging from 0 to 1. A composition of 0 indicates pure water, while a composition of 1 indicates pure propanol.
  - The y-axis represents temperature in degrees Celsius, ranging from 70°C to 110°C.

- **Curves:**
  - The graph features two curves, typically representing the bubble point and dew point for the mixture.
  - The lower curve (blue) shows the temperatures at which the mixture begins to boil (bubble point) for different compositions.
  - The upper curve (pink) shows the temperatures at which the mixture starts to condense (dew point).

- **Phase Regions:**
  - The area below the lower curve corresponds to the liquid phase, where the mixture exists as a liquid at given compositions and temperatures.
  - The area above the upper curve corresponds to the vapor phase, where the mixture exists as a vapor.
  - The area between the two curves represents the two-phase region, where liquid and vapor coexist.

**Analysis:**

This type of diagram is crucial for understanding the phase transitions in distillation processes, as it helps determine the required temperature for vaporization and condensation at specific compositions. The point where the two curves meet (at an approximate composition of 0.3) indicates a minimum boiling azeotrope, where the mixture cannot be separated by simple distillation.

Understanding such diagrams aids in designing efficient separation processes for mixtures of propanol and water, common in chemical engineering and industrial applications.
Transcribed Image Text:**Title: Txy Diagram for Propanol and Water** **Description:** The image presents a Txy diagram for a binary mixture of propanol and water. This diagram is used to illustrate the phase behavior of the mixture at constant pressure, showing the relationship between temperature and composition. **Graph Details:** - **Axes:** - The x-axis represents the composition of the mixture, ranging from 0 to 1. A composition of 0 indicates pure water, while a composition of 1 indicates pure propanol. - The y-axis represents temperature in degrees Celsius, ranging from 70°C to 110°C. - **Curves:** - The graph features two curves, typically representing the bubble point and dew point for the mixture. - The lower curve (blue) shows the temperatures at which the mixture begins to boil (bubble point) for different compositions. - The upper curve (pink) shows the temperatures at which the mixture starts to condense (dew point). - **Phase Regions:** - The area below the lower curve corresponds to the liquid phase, where the mixture exists as a liquid at given compositions and temperatures. - The area above the upper curve corresponds to the vapor phase, where the mixture exists as a vapor. - The area between the two curves represents the two-phase region, where liquid and vapor coexist. **Analysis:** This type of diagram is crucial for understanding the phase transitions in distillation processes, as it helps determine the required temperature for vaporization and condensation at specific compositions. The point where the two curves meet (at an approximate composition of 0.3) indicates a minimum boiling azeotrope, where the mixture cannot be separated by simple distillation. Understanding such diagrams aids in designing efficient separation processes for mixtures of propanol and water, common in chemical engineering and industrial applications.
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