Ideal mixturesWhat is the boiling point of compound B?Which is more volatile, compound A or compound B?Suppose you mix 1.0 mole of compound A and 4.0 moles of compound B at room temperature (with no air), then heat it. At temperature will the first vapor appear?For the mixture in #3, what will be the composition (mole fraction) in the first vapor?If you have an initial liquid with a mole fraction of A of 0.1, how many theoretical plates are necessary to prepare a mixture which is at least 50% (mole percent) of A? If you have an initial liquid with a mole fraction of A of 0.1, how many theoretical plates are necessary to prepare a mixture which is at least 50% (mole percent) of C? ### Phase Diagrams for Binary Mixtures#### Diagram 1: Compounds A and B- **Title**: Compounds A and B- **Pressure**: P = 1 atm- **Axes**: - **X-axis**: Mole fraction of component A (ranging from 0 to 1.0) - **Y-axis**: Temperature (°C) (ranging from 70°C to 120°C)- **Description**: This phase diagram displays the relationship between the mole fraction of component A and the temperature at which phases change for a binary mixture of compounds A and B. The graph consists of two curves. The upper curve represents the liquidus line, marking the temperature at which the mixture first begins to solidify. The lower curve represents the solidus line, indicating the temperature at which the entire mixture becomes solid.#### Diagram 2: Compounds C and D- **Title**: Compounds C and D- **Pressure**: P = 1 atm- **Axes**: - **X-axis**: Mole fraction of component C (ranging from 0 to 1.0) - **Y-axis**: Temperature (°C) (ranging from 80°C to 115°C)- **Description**: This phase diagram illustrates the phase behavior for a binary mixture of compounds C and D. The plot shows how the temperature varies with the mole fraction of component C. The two curves indicate the transition between the liquid and solid phases: the liquidus line (upper curve) and the solidus line (lower curve), which define the boundaries where liquid and solid phases coexist. ### AnalysisBoth diagrams serve as important tools for understanding the melting and solidification properties of binary mixtures at a constant pressure of 1 atm. The intercepts at the horizontal axes reflect pure components, while intermediate points show behavior in mixtures. These diagrams are crucial in fields such as material science and engineering, where precise control of phase changes is needed.

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Answered: Ideal mixtures What is the boiling…

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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Ideal mixtures

What is the boiling point of compound B?
Which is more volatile, compound A or compound B?
Suppose you mix 1.0 mole of compound A and 4.0 moles of compound B at room temperature (with no air), then heat it. At temperature will the first vapor appear?
For the mixture in #3, what will be the composition (mole fraction) in the first vapor?
If you have an initial liquid with a mole fraction of A of 0.1, how many theoretical plates are necessary to prepare a mixture which is at least 50% (mole percent) of A?
If you have an initial liquid with a mole fraction of A of 0.1, how many theoretical plates are necessary to prepare a mixture which is at least 50% (mole percent) of C?

### Phase Diagrams for Binary Mixtures

#### Diagram 1: Compounds A and B
- **Title**: Compounds A and B
- **Pressure**: P = 1 atm
- **Axes**:
- **X-axis**: Mole fraction of component A (ranging from 0 to 1.0)
- **Y-axis**: Temperature (°C) (ranging from 70°C to 120°C)
- **Description**: This phase diagram displays the relationship between the mole fraction of component A and the temperature at which phases change for a binary mixture of compounds A and B. The graph consists of two curves. The upper curve represents the liquidus line, marking the temperature at which the mixture first begins to solidify. The lower curve represents the solidus line, indicating the temperature at which the entire mixture becomes solid.

#### Diagram 2: Compounds C and D
- **Title**: Compounds C and D
- **Pressure**: P = 1 atm
- **Axes**:
- **X-axis**: Mole fraction of component C (ranging from 0 to 1.0)
- **Y-axis**: Temperature (°C) (ranging from 80°C to 115°C)
- **Description**: This phase diagram illustrates the phase behavior for a binary mixture of compounds C and D. The plot shows how the temperature varies with the mole fraction of component C. The two curves indicate the transition between the liquid and solid phases: the liquidus line (upper curve) and the solidus line (lower curve), which define the boundaries where liquid and solid phases coexist.

### Analysis
Both diagrams serve as important tools for understanding the melting and solidification properties of binary mixtures at a constant pressure of 1 atm. The intercepts at the horizontal axes reflect pure components, while intermediate points show behavior in mixtures. These diagrams are crucial in fields such as material science and engineering, where precise control of phase changes is needed.

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