(a)
Interpretation:
For the given binary mixture, whether one or two liquid phases are present is to be determined. Also, their composition is to be calculated if two phases are present.
Concept Introduction:
The simplest equation for
Here,
The relationship for
For liquid-liquid equilibrium where two phases,
Also, the relationship between
(a)
Answer to Problem 12.35P
One phase is present in the given system of binary mixture with overall composition of
Explanation of Solution
Given information:
Excess Gibbs energy for a binary liquid mixture is given by
Overall composition of the system is given as
Compare the given equation of
Let, the binary mixture contains two phases of liquid and the system is in liquid-liquid equilibrium. Now, use equations set (2) along with equations (3) and (4) to eliminate
Since no value of
Therefore, the assumption that the system is a two-phase system is incorrect and only one phase is present.
(b)
Interpretation:
For the given binary mixture, whether one or two liquid phases are present is to be determined. Also, their composition is to be calculated if two phases are present.
Concept Introduction:
The simplest equation for
Here,
The relationship for
For liquid-liquid equilibrium where two phases,
Also, the relationship between
(b)
Answer to Problem 12.35P
Two phases are present in the given system of binary mixture with phase composition as
Explanation of Solution
Given information:
Excess Gibbs energy for a binary liquid mixture is given by
Overall composition of the system is given as
Compare the given equation of
Let, the binary mixture contains two phases of liquid and the system is in liquid-liquid equilibrium. Now, use equations set (2) along with equations (3) and (4) to eliminate
The value of
At this point, there exist equilibrium between two phases for the given system.
Therefore, the assumption that the system is a two-phase system is correct and two phases are present.
(c)
Interpretation:
For the given binary mixture, whether one or two liquid phases are present is to be determined. Also, their composition is to be calculated if two phases are present.
Concept Introduction:
The simplest equation for
Here,
The relationship for
For liquid-liquid equilibrium where two phases,
Also, the relationship between
(c)
Answer to Problem 12.35P
Two phases are present in the given system of binary mixture with phase composition as
Explanation of Solution
Given information:
Excess Gibbs energy for a binary liquid mixture is given by
Overall composition of the system is given as
Compare the given equation of
Let, the binary mixture contains two phases of liquid and the system is in liquid-liquid equilibrium. Now, use equations set (2) along with equations (3) and (4) to eliminate
The value of
At this point, there exist equilibrium between two phases for the given system.
Therefore, the assumption that the system is a two-phase system is correct and two phases are present.
(d)
Interpretation:
For the given binary mixture, whether one or two liquid phases are present is to be determined. Also, their composition is to be calculated if two phases are present.
Concept Introduction:
The simplest equation for
Here,
The relationship for
For liquid-liquid equilibrium where two phases,
Also, the relationship between
(d)
Answer to Problem 12.35P
Two phases are present in the given system of binary mixture with phase composition as
Explanation of Solution
Given information:
Excess Gibbs energy for a binary liquid mixture is given by
Overall composition of the system is given as
Compare the given equation of
Let, the binary mixture contains two phases of liquid and the system is in liquid-liquid equilibrium. Now, use equations set (2) along with equations (3) and (4) to eliminate
The value of
At this point, there exist equilibrium between two phases for the given system.
Therefore, the assumption that the system is a two-phase system is correct and two phases are present.
(e)
Interpretation:
For the given binary mixture, whether one or two liquid phases are present is to be determined. Also, their composition is to be calculated if two phases are present.
Concept Introduction:
The simplest equation for
Here,
The relationship for
For liquid-liquid equilibrium where two phases,
Also, the relationship between
(e)
Answer to Problem 12.35P
Two phases are present in the given system of binary mixture with phase composition as
Explanation of Solution
Given information:
Excess Gibbs energy for a binary liquid mixture is given by
Overall composition of the system is given as
Compare the given equation of
Let, the binary mixture contains two phases of liquid and the system is in liquid-liquid equilibrium. Now, use equations set (2) along with equations (3) and (4) to eliminate
The value of
At this point, there exist equilibrium between two phases for the given system.
Therefore, the assumption that the system is a two-phase system is correct and two phases are present.
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Chapter 12 Solutions
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