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# Gibbs Phase Rule, Phase Equilibrium Curves, Temperature Composition Diagrams - Gas Separation Notes | EduRev

## : Gibbs Phase Rule, Phase Equilibrium Curves, Temperature Composition Diagrams - Gas Separation Notes | EduRev

``` Page 1

1
20 20
Page 2

1
20 20
2
Prof. M D Atrey, Department of Mechanical Engineering, IIT Bombay
• A mixture composition can be represented by
either volume, mass or mole fractions.
• Work of separation is represented by W
i,m
/n
m
,
W
i,m
/n
A
and W
i,m
/n
B
(for Gas A and B).
Additionally, it is also represented by W
i,A
/n
A
,
W
i,B
/n
B
and W
i,C
/n
C
(for Gas A, B and C).
• Ideal work of separation/mole of mixture with N
constituents is given by
• where y
j
is mole fraction of j
th
component.
Earlier Lecture Earlier Lecture
1
1
ln
?
? ?
?
? ?
? ?
? ?
? ?
?
N
i
m j
j
m j
W
T y
n y
Page 3

1
20 20
2
Prof. M D Atrey, Department of Mechanical Engineering, IIT Bombay
• A mixture composition can be represented by
either volume, mass or mole fractions.
• Work of separation is represented by W
i,m
/n
m
,
W
i,m
/n
A
and W
i,m
/n
B
(for Gas A and B).
Additionally, it is also represented by W
i,A
/n
A
,
W
i,B
/n
B
and W
i,C
/n
C
(for Gas A, B and C).
• Ideal work of separation/mole of mixture with N
constituents is given by
• where y
j
is mole fraction of j
th
component.
Earlier Lecture Earlier Lecture
1
1
ln
?
? ?
?
? ?
? ?
? ?
? ?
?
N
i
m j
j
m j
W
T y
n y
Outline of the Lecture Outline of the Lecture
3
Prof. M D Atrey, Department of Mechanical Engineering, IIT Bombay
Topic : Gas Separation (contd)
• Gibbs Phase Rule
• Phase Equilibrium Curves
• Temperature Composition Diagrams
Page 4

1
20 20
2
Prof. M D Atrey, Department of Mechanical Engineering, IIT Bombay
• A mixture composition can be represented by
either volume, mass or mole fractions.
• Work of separation is represented by W
i,m
/n
m
,
W
i,m
/n
A
and W
i,m
/n
B
(for Gas A and B).
Additionally, it is also represented by W
i,A
/n
A
,
W
i,B
/n
B
and W
i,C
/n
C
(for Gas A, B and C).
• Ideal work of separation/mole of mixture with N
constituents is given by
• where y
j
is mole fraction of j
th
component.
Earlier Lecture Earlier Lecture
1
1
ln
?
? ?
?
? ?
? ?
? ?
? ?
?
N
i
m j
j
m j
W
T y
n y
Outline of the Lecture Outline of the Lecture
3
Prof. M D Atrey, Department of Mechanical Engineering, IIT Bombay
Topic : Gas Separation (contd)
• Gibbs Phase Rule
• Phase Equilibrium Curves
• Temperature Composition Diagrams
4
Prof. M D Atrey, Department of Mechanical Engineering, IIT Bombay
• A mixture can have various components and can
exist in various phases in thermal equilibrium.
• For example, a mixture of ice and water is a 1 –
component and a two phase mixture.
• If number of components and number of phases
in thermal equilibrium are denoted by     and
respectively, then for above mixture        and
• Similarly, boiling LAir is LOX + LN
2
+ N
2
+O
2
.
the values of     and     are     and
respectively.
Introduction Introduction
C P
2 ? P
1 C ?
C 2 2 P
Page 5

1
20 20
2
Prof. M D Atrey, Department of Mechanical Engineering, IIT Bombay
• A mixture composition can be represented by
either volume, mass or mole fractions.
• Work of separation is represented by W
i,m
/n
m
,
W
i,m
/n
A
and W
i,m
/n
B
(for Gas A and B).
Additionally, it is also represented by W
i,A
/n
A
,
W
i,B
/n
B
and W
i,C
/n
C
(for Gas A, B and C).
• Ideal work of separation/mole of mixture with N
constituents is given by
• where y
j
is mole fraction of j
th
component.
Earlier Lecture Earlier Lecture
1
1
ln
?
? ?
?
? ?
? ?
? ?
? ?
?
N
i
m j
j
m j
W
T y
n y
Outline of the Lecture Outline of the Lecture
3
Prof. M D Atrey, Department of Mechanical Engineering, IIT Bombay
Topic : Gas Separation (contd)
• Gibbs Phase Rule
• Phase Equilibrium Curves
• Temperature Composition Diagrams
4
Prof. M D Atrey, Department of Mechanical Engineering, IIT Bombay
• A mixture can have various components and can
exist in various phases in thermal equilibrium.
• For example, a mixture of ice and water is a 1 –
component and a two phase mixture.
• If number of components and number of phases
in thermal equilibrium are denoted by     and
respectively, then for above mixture        and
• Similarly, boiling LAir is LOX + LN
2
+ N
2
+O
2
.
the values of     and     are     and
respectively.
Introduction Introduction
C P
2 ? P
1 C ?
C 2 2 P
5
Prof. M D Atrey, Department of Mechanical Engineering, IIT Bombay
• Every mixture can be uniquely defined by a set
of properties called as Thermostatic Properties.
• These properties can either be Intensive
(independent of mass) or Extensive (dependent
on mass) properties.
• Pressure, temperature, density are examples of
Intensive properties and volume, enthalpy,
entropy are few examples of Extensive
properties.
Introduction Introduction
```
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