5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law:...

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5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4- Φ Predict by phase law: Three dimentional diagra m T, P, x Intercepting plane graph---two dimentio nal diagrams T, P, x ----- (T, x) p , (P, x) T or (T, P) x

Transcript of 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law:...

Page 1: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

5.4 Phase diagrams of binary systems

Φmin=1, Fmax=3

C=2, F=2-Φ+2=4-Φ

Predict by phase law:

Three dimentional diagram

T, P, x

Intercepting plane graph---two dimentional diagrams

T, P, x ----- (T, x)p , (P, x)T or (T, P)x

Page 2: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

Contents

Liquid-liquid

Miscible

Partly-miscible

Immiscible

Liquid-solid

Water-salt

Solid-solid

Page 3: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

5.4.1 Phase diagram of miscible binary systems

A

*

AA xpp

B

*

BB xpp

BA ppp

5.4.1.1 Ideal mixed systems:

Two components both follow Raoult’s Law.

( )T, P-x, A+B

)1(*

BA

*

A Axpxp

A

*

B

*

A

*

B )( xppp

Page 4: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

AA

py

p

AB 1 yy

( )T, P-y, A+B

*A*B

pn

p

*

* * *( )A A

AB A B A

x Py

P P P x

*

B

*

A pp

AA xy

Page 5: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

( )T, P-x-y

*

B

*

A pp

AA xy A Ay x

* *A BP P

*AP

*BP

xA

Liquid

P

Vapour

Φ=2

F=2-2+1=1(P)

liquid

Liquid/Vapour

A is more volatile than B B is more volatile than A

Page 6: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

( )P T-x

pp xTb bTp ,*

Page 7: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

xx11

d Td T33 d’ d’

xx22

TA*

xx33xx44

T c Tc T22    c’c’

a a’ a a’

b Tb T11 b’ b’

A B TB*

xx 11

TT 11

xx 22

TT 22

xx 33

TT 33

xx22 xx33 xx44

A

The composition variation in the distillation process

How would it be in an closed system?

Page 8: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

P-x, liquid(upper line)- gas(lower line)

Getting T-x phase diagram from P-x

Relating P-x and T-x phase diagram

T-x, gas(upper line)-liquid(lower line)

Page 9: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

5.4.1.2 The Lever rule

C, total amount of the systems

DE ( tie line ) isothermal

l gCD CEn n

l gCD CEm m

Page 10: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

Phase equilibrium variation at constant temperature

---the level rule

Page 11: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

5.4.1.3 The principle of distillation

Simple distillation T T1

T T2Separate a volatile liquid from a non-volatile solute or solid

Page 12: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

Theoretical plates: the number of effective vaporization and condensation steps that are required to achieve a condensate of given composition from a given distillate

Fractional distillation

Page 13: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.
Page 14: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.
Page 15: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

5.4.1.4 Non-ideal solutions

Page 16: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

P-x and T-x phase diagrams of non-ideal miscible binary systems

Page 17: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

Azeotropes

Low-boiling azeotrope

Page 18: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

351.28K , 95.57

2 2 5 3 6 6H O-C H OH, CH OH-C H ,

OHHC-OH 522

6652 HC-OHHC

Low-boiling azeotrope

Page 19: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

The maximum azeotropic point

High boiling azeotropes

HCl-OH,HNO-OH 232

HCl-OH 2

381.65 K

HCl 20.24

Page 20: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.
Page 21: 5.4 Phase diagrams of binary systems Φ min =1, F max =3 C=2, F=2-Φ+2=4-Φ Predict by phase law: Three dimentional diagram T, P, x Intercepting plane graph---two.

Homework Y: P161 17, 18 A: P215 8.5(a), 8.6(a)

Preview: Y: 5.5,5.6, 5.7 A:8.5, 8.6