Consider the phase diagram for a hypothetical A-B system. Assume that A and B form ideal solutions in the liquid state and in the solid state. a) If a solution containing 50 mol.% B is cooled from 1300 K, what is the composition of the first solid to form? What is the composition of the last liquid to solidify? b) For this 50 mol.% B solution, estimate the fraction of the solid phase and liquid phase in equilibrium at 1000 K c) Sketch the AGM-composition relationships for all phases at 1330 K, 1100 K and 800 K. Be sure to label all equilibrium compositions if you need to use the double tangent to minimize AGM at a given temperature. d) Sketch the activity-composition relationship for component B in the solution at 1300 K and 800 K. In each case state the standard state you have chosen.

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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Consider the phase diagram for a hypothetical A-B system. Assume that A and B form
ideal solutions in the liquid state and in the solid state.
a) If a solution containing 50 mol.% B is cooled from 1300 K, what is the
composition of the first solid to form? What is the composition of the last
liquid to solidify?
b)
For this 50 mol.% B solution, estimate the fraction of the solid phase and
liquid phase in equilibrium at 1000 K
c) Sketch the AGM-composition relationships for all phases at 1330 K, 1100 K
and 800 K. Be sure to label all equilibrium compositions if you need to use
the double tangent to minimize AGM at a given temperature.
d) Sketch the activity-composition relationship for component B in the solution
at 1300 K and 800 K. In each case state the standard state you have chosen.
Transcribed Image Text:Consider the phase diagram for a hypothetical A-B system. Assume that A and B form ideal solutions in the liquid state and in the solid state. a) If a solution containing 50 mol.% B is cooled from 1300 K, what is the composition of the first solid to form? What is the composition of the last liquid to solidify? b) For this 50 mol.% B solution, estimate the fraction of the solid phase and liquid phase in equilibrium at 1000 K c) Sketch the AGM-composition relationships for all phases at 1330 K, 1100 K and 800 K. Be sure to label all equilibrium compositions if you need to use the double tangent to minimize AGM at a given temperature. d) Sketch the activity-composition relationship for component B in the solution at 1300 K and 800 K. In each case state the standard state you have chosen.
Temperature
1300
1200
1100
1000
900
800
OA
Liquid
10 20
30
Liquid + Solid
40 50 60
xB (mol %) -
70
Solid
80
90
-1250
100
B
Transcribed Image Text:Temperature 1300 1200 1100 1000 900 800 OA Liquid 10 20 30 Liquid + Solid 40 50 60 xB (mol %) - 70 Solid 80 90 -1250 100 B
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