a. Estimate the bubble-point temperature (in °C) and equilibrium vapor composition associated with 10 mole % benzene and 90% toluene liquid mixture at 1 atm. (show work on the Txy diagram) b What happens to the bubble-point as the mole fraction of benzene increases? Why? c. At what temperature (in °C) does the first drop of condensate form for a vapor mixture of 10 mole % benzene? What is the liquid composition?

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
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a. Estimate the bubble-point temperature (in °C) and equilibrium vapor composition associated with 10 mole % benzene and 90% toluene liquid mixture at 1 atm. (show work on the Txy diagram)

b What happens to the bubble-point as the mole fraction of benzene increases? Why?

c. At what temperature (in °C) does the first drop of condensate form for a vapor mixture of 10 mole % benzene? What is the liquid composition?

The image is a T-x-y phase diagram for a benzene/toluene mixture at 1.0 atm. The graph displays temperature (in Kelvin) on the vertical axis ranging from 355 K to 385 K, and the liquid/vapor mole fraction of benzene on the horizontal axis, which ranges from 0 to 1.

**Key Features:**

1. **Curves on the Diagram:**
   - The blue curve represents the saturated liquid line (\(T_x\) at 1.0 atm). It shows the temperature at which the solution starts to boil at different compositions.
   - The green curve represents the saturated vapor line (\(T_y\) at 1.0 atm). It indicates the temperature at which the vapor phase is in equilibrium with the liquid phase at various compositions.

2. **Saturated Liquid and Vapor:**
   - The region between the curves represents a two-phase region where liquid and vapor coexist. 
   - Points on the blue curve indicate the composition of the liquid phase, while points on the green curve correspond to vapor phase compositions.

This diagram is essential for understanding the boiling behavior of benzene/toluene mixtures and finding equilibrium compositions for given temperatures and pressures.
Transcribed Image Text:The image is a T-x-y phase diagram for a benzene/toluene mixture at 1.0 atm. The graph displays temperature (in Kelvin) on the vertical axis ranging from 355 K to 385 K, and the liquid/vapor mole fraction of benzene on the horizontal axis, which ranges from 0 to 1. **Key Features:** 1. **Curves on the Diagram:** - The blue curve represents the saturated liquid line (\(T_x\) at 1.0 atm). It shows the temperature at which the solution starts to boil at different compositions. - The green curve represents the saturated vapor line (\(T_y\) at 1.0 atm). It indicates the temperature at which the vapor phase is in equilibrium with the liquid phase at various compositions. 2. **Saturated Liquid and Vapor:** - The region between the curves represents a two-phase region where liquid and vapor coexist. - Points on the blue curve indicate the composition of the liquid phase, while points on the green curve correspond to vapor phase compositions. This diagram is essential for understanding the boiling behavior of benzene/toluene mixtures and finding equilibrium compositions for given temperatures and pressures.
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