# The Journal of Chemical and Engineering Data is one journal that publishes, among other items, experimental data for vapor-liquid equilibrium of mixtures. Using the Journal of Chemical and Engineering Data (or another journal you have access to), find two sets of experimental data (tabulated) for a binary system: one of constant temperature and the other of constant pressure. You will likely need to find two different systems. For the data provided, please do the following. A. Plot the data using a plotting software package (Excel, for example). B. Identify on the plot the liquid only region, the vapor only region and the two-phase (liquid + vapor) region. C. Does this system behave according to Raoult’s Law? How can you tell? Based on the components in the system, would you expect positive or negative deviations from Raoult’s Law?

### Fundamentals of Chemical Engineeri...

1st Edition
Kevin D. Dahm + 1 other
Publisher: Cengage Learning
ISBN: 9781111580704

### Fundamentals of Chemical Engineeri...

1st Edition
Kevin D. Dahm + 1 other
Publisher: Cengage Learning
ISBN: 9781111580704

#### Solutions

Chapter
Section
Chapter 10.7, Problem 15P
Textbook Problem

## The Journal of Chemical and Engineering Data is one journal that publishes, among other items, experimental data for vapor-liquid equilibrium of mixtures. Using the Journal of Chemical and Engineering Data (or another journal you have access to), find two sets of experimental data (tabulated) for a binary system: one of constant temperature and the other of constant pressure. You will likely need to find two different systems. For the data provided, please do the following. A. Plot the data using a plotting software package (Excel, for example). B. Identify on the plot the liquid only region, the vapor only region and the two-phase (liquid + vapor) region. C. Does this system behave according to Raoult’s Law? How can you tell? Based on the components in the system, would you expect positive or negative deviations from Raoult’s Law?

Expert Solution

A)

Interpretation Introduction

Interpretation:

To plot the Pxy and Txy curve for two sets of experimental data.

Concept introduction:

An example of a binary system with constant pressure of vapor liquid equilibrium system is the mixture of n-hexane (1) and ethanol (2).

The experimental vapor liquid equilibrium data is given in Table (1).

 T (K) x1 (mol/mol) y1 (mol/mol) 351.45 0.000 0.000 349.15 0.010 0.095 346.35 0.020 0.193 340.55 0.060 0.365 339.05 0.080 0.420 334.95 0.152 0.532 332.55 0.245 0.605 331.85 0.333 0.630 331.50 0.452 0.640 331.25 0.588 0.650 331.15 0.670 0.660 331.40 0.725 0.670 331.60 0.765 0.675 332.30 0.898 0.710 333.35 0.955 0.745 336.65 0.990 0.840 339.85 0.994 0.935 341.85 1.000 1.000

Table (1)

An example of a binary system with constant temperature of vapor liquid equilibrium system is the mixture of tetrahydrofuran (1) and n-hexane (2).

The experimental vapor liquid equilibrium data is given in Table (2).

 P (kPa) x1 (mol/mol) y1 (mol/mol) 37.69 0 0 39.943 0.098 0.145 42.077 0.185 0.251 43.623 0.275 0.346 44.943 0.385 0.439 45.463 0.448 0.488 45.543 0.488 0.515 45.783 0.520 0.539 45.676 0.535 0.549 45.730 0.573 0.575 45.756 0.620 0.610 45.663 0.665 0.645 45.570 0.713 0.682 45.316 0.738 0.695 44.810 0.803 0.755 44.063 0.843 0.790 43.543 0.883 0.826 42.663 0.925 0.885 41.477 0.975 0.955 40.410 1 1

Table (2)

### Explanation of Solution

The following figure (1) shows the Txy obtained for the n-hexane and ethanol system at pressure of 1 bar as in Table (1).

Figure (1)

The following figure (2) shows the <

Expert Solution

B)

Interpretation Introduction

Interpretation:

To identify in the Pxy and Txy plot the various regions present.

Concept introduction:

An example of a binary system with constant pressure of vapor liquid equilibrium system is the mixture of n-hexane (1) and ethanol (2).

The experimental vapor liquid equilibrium data is given in Table (1).

 T (K) x1 (mol/mol) y1 (mol/mol) 351.45 0.000 0.000 349.15 0.010 0.095 346.35 0.020 0.193 340.55 0.060 0.365 339.05 0.080 0.420 334.95 0.152 0.532 332.55 0.245 0.605 331.85 0.333 0.630 331.50 0.452 0.640 331.25 0.588 0.650 331.15 0.670 0.660 331.40 0.725 0.670 331.60 0.765 0.675 332.30 0.898 0.710 333.35 0.955 0.745 336.65 0.990 0.840 339.85 0.994 0.935 341.85 1.000 1.000

Table (1)

An example of a binary system with constant temperature of vapor liquid equilibrium system is the mixture of tetrahydrofuran (1) and n-hexane (2).

The experimental vapor liquid equilibrium data is given in Table (2).

 P (kPa) x1 (mol/mol) y1 (mol/mol) 37.69 0 0 39.943 0.098 0.145 42.077 0.185 0.251 43.623 0.275 0.346 44.943 0.385 0.439 45.463 0.448 0.488 45.543 0.488 0.515 45.783 0.520 0.539 45.676 0.535 0.549 45.730 0.573 0.575 45.756 0.620 0.610 45.663 0.665 0.645 45.570 0.713 0.682 45.316 0.738 0.695 44.810 0.803 0.755 44.063 0.843 0.790 43.543 0.883 0.826 42.663 0.925 0.885 41.477 0.975 0.955 40.410 1 1

Table (2)

Expert Solution

C)

Interpretation Introduction

Interpretation:

To discuss the behavior of the system on the basis of Raoult’s law.

Concept introduction:

Raoult’s law expresses that the incomplete vapor pressure of every segment of a perfect blend of fluids is equivalent to the mixture of vapor pressure of the pure component and the mole portion in the blend

Negative deviation

When the adhesive forces between particles of different type are stronger than the cohesive forces between disparate atoms, the vapor pressure is less than the expected from the Raoult’s law. This is known as negative deviation.

Positive deviation

When the cohesive force between particles of same type is greater than the adhesive forces between atoms of different type, the extremity of dissimilarities leads both segments to escape the arrangement more effortlessly. In such case, the vapor pressure expected is more than that from the Raoult's law. This is called positive deviation.

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