The bubble point temperature for a vapor-liquid equilibrium system of 80% benzene and 20% toluene is about 83°C. Using Antoine’s Equation and without using the diagrams, calculate the composition of the vapor that is generated at 83°C.
The bubble point temperature for a vapor-liquid equilibrium system of 80% benzene and 20% toluene is about 83°C. Using Antoine’s Equation and without using the diagrams, calculate the composition of the vapor that is generated at 83°C.
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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Question
- The bubble point temperature for a vapor-liquid equilibrium system of 80% benzene and 20% toluene is about 83°C. Using Antoine’s Equation and without using the diagrams, calculate the composition of the vapor that is generated at 83°C.
- This time, using the diagrams provided, determine the answer for Part a.
- A vapor at atmospheric pressure consisting of 80% benzene and 20% toluene has a dew point of 88°C. Using Antoine’s Equation and without using the diagrams, calculate the composition of the liquid that is in equilibrium with the vapor.
- Using the diagrams provided, what is the composition of the liquid that is in equilibrium with a vapor that is 50% benzene and 50% toluene?
- You have a gas mixture of 40% benzene, 10% toluene, and 50% helium. The gas mixture is compressed isothermally at 80°C until condensation occurs. The helium is insoluble in the condensate. Without using the diagrams, determine the pressure at which condensation begins and the composition of the initial condensate.

Transcribed Image Text:The image features two diagrams that illustrate phase equilibrium between liquid and vapor for a benzene mixture under different conditions.
**(a) Txy Diagram**
- **Axes:** The x-axis represents the mole fraction of benzene, ranging from 0 to 1. The y-axis shows temperature in degrees Celsius (°C), ranging from 65°C to 115°C.
- **Conditions:** The diagram is at a constant pressure of 1 atm.
- **Curves:**
- There are two main curves. The upper curve represents the temperature at which the vapor is in equilibrium with the liquid. The lower curve represents the temperature at which the liquid is in equilibrium with the vapor.
- Between these curves, the system exists as both liquid and vapor (two-phase region).
**(b) Pxy Diagram**
- **Axes:** The x-axis also represents the mole fraction of benzene, from 0 to 1. The y-axis indicates pressure in millimeters of mercury (mm Hg), ranging from 500 mm Hg to 1400 mm Hg.
- **Conditions:** This diagram is at a constant temperature of 100°C.
- **Curves:**
- The upper curve shows the pressure at which the vapor phase is in equilibrium with the liquid phase, while the lower curve represents the pressure for the liquid phase in equilibrium with the vapor phase.
- The area between the curves indicates the two-phase region, where both liquid and vapor coexist.
These diagrams are fundamental for understanding the behavior of a binary mixture (in this case, benzene) in terms of phase changes and compositions at specific conditions of temperature or pressure.
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