Rapid Screening of Extractive Distillation Solvents - American

approach is that while the members of a homologous series form essen ... lnS°2s oc (rxWe-Va). (3) where η is the polar cohesive energy density of th...
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4 Rapid Screening of Extractive Distillation

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Solvents Predictive and Experimental Techniques

DIMITRIOS P. TASSIOS Newark College of Engineering, Newark, N. J. 07102 Rapid predictive and experimental techniques for screening extractive distillation solvents are reviewed. In pre­ paring a list of potential solvents the method of Scheibel is recommended for non-hydrocarbon systems; for hydro­ carbon systems solvents of high polar cohesive density should be considered. For screening the potential sol­ vents the method of Pierotti, Deal, and Derr is recom­ mended. If it is not applicable, the method of Helpinstill and Van Winkle should be considered next. Finally, re­ liable screening is accomplished through a simple, rapid technique recently developed that uses gas-liquid chro­ matography.

" E x t r a c t i v e a n d a z e o t r o p i c d i s t i l l a t i o n i n different types o f c h e m i c a l i n d u s t r y has b e c o m e m o r e i m p o r t a n t as m o r e separations of c l o s e - b o i l ­ i n g m i x t u r e s a n d a z e o t r o p i c ones are e n c o u n t e r e d . E x t r a c t i v e d i s t i l l a t i o n is u s e d m o r e because i t is g e n e r a l l y less expensive, s i m p l e r , a n d c a n use m o r e solvents t h a n a z e o t r o p i c d i s t i l l a t i o n . S o l v e n t s e l e c t i o n for a z e o t r o p i c d i s t i l l a t i o n has r e c e n t l y b e e n d i s c u s s e d b y B e r g ( I ) .

T h e r e f o r e , solvent

s c r e e n i n g for extractive d i s t i l l a t i o n is d i s c u s s e d here. T h e ease of s e p a r a t i o n o f a g i v e n m i x t u r e w i t h k e y c o m p o n e n t s i a n d / is g i v e n b y the r e l a t i v e v o l a t i l i t y :

w h e r e χ is the l i q u i d phase m o l e fraction, y is the v a p o r p h a s e m o l e f r a c t i o n , y is the a c t i v i t y coefficient, a n d P ° is the p u r e c o m p o n e n t v a p o r pressure. 46 In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

Library American Chemical Society 4.

Extractive

TASSIOS

Distilfotion

47

Solvents

T h e solvent is i n t r o d u c e d t o c h a n g e t h e r e l a t i v e v o l a t i l i t y ( α # ) as far a w a y f r o m one as possible. S i n c e the r a t i o

(P°i/P° )

is constant for s m a l l

;

t e m p e r a t u r e changes, t h e o n l y w a y t h a t t h e r e l a t i v e v o l a t i l i t y i s affected is b y i n t r o d u c i n g a solvent w h i c h changes the r a t i o

(yi/γ,).

This ratio, i n

the presence o f the solvent, is c a l l e d selectivity (S^) : Sii—

[yi/r;] solvent

(2)

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I n some cases a significant c h a n g e i n o p e r a t i n g pressure, a n d h e n c e t e m p e r a t u r e , changes

e n o u g h t o e l i m i n a t e a n azeotrope ( 2 ) .

Besides a l t e r i n g t h e r e l a t i v e v o l a t i l i t y , t h e solvent s h o u l d also b e easily s e p a r a t e d

from

the distillation products.

Other

criteria—e.g.,

toxicity, cost, e t c . — d i s c u s s e d b y V a n W i n k l e ( 2 ) a n d others m u s t b e c o n s i d e r e d . R e l a t i v e v o l a t i l i t y e n h a n c e m e n t is d i s c u s s e d i n this p a p e r . S e l e c t i n g the p r o p e r solvent b y c o n s i d e r i n g this c r i t e r i o n is s t i l l b a s e d o n e m p i r i c a l a p p r o a c h e s because o f t h e large n o n i d e a l i t y o f the r e s u l t i n g mixtures.

However,

g e n e r a l selection patterns a n d r a p i d e x p e r i m e n t a l

techniques have been made presents a r e v i e w

a v a i l a b l e t h r o u g h t h e years.

o f some o f these m e t h o d s

This

paper

t o f a c i l i t a t e t h e solvent

selection process i n t h e c h e m i c a l i n d u s t r y . Q u a l i t a t i v e aspects a r e first considered, followed

b y e m p i r i c a l correlations a n d r a p i d e x p e r i m e n t a l

techniques. Qualitative

Considerations

Since the type

o f solutions e n c o u n t e r e d

i n extractive d i s t i l l a t i o n

i n v o l v e m i x t u r e s o f p o l a r c o m p o u n d s o r p o l a r w i t h n o n p o l a r ones, t h e solutions a r e u s u a l l y n o n i d e a l , a n d p r e d i c t i n g t h e phase e q u i l i b r i u m f r o m p u r e c o m p o n e n t d a t a o n l y is p r a c t i c a l l y i m p o s s i b l e . T h e o r e t i c a l a n d e x p e r i m e n t a l studies t h r o u g h the years, h o w e v e r , h a v e e s t a b l i s h e d c e r t a i n trends w h i c h are u s e d to s e a r c h f o r a n d screen p o t e n t i a l solvents. Non-Hydrocarbon Mixtures: The Scheibel Method. S c h e i b e l ( 3 ) has suggested that the p r o p e r solvent c a n b e f o u n d a m o n g t h e m e m b e r s o f the h o m o l o g o u s series o f either k e y c o m p o n e n t s , i o r /

close t o o n e ) .

A n e x a m p l e p r e s e n t e d b y S c h e i b e l . ( 3 ) best demonstrates this a p p r o a c h . C o n s i d e r i n g the separation o f the m e t h a n o l - a c e t o n e azeotrope, t h e p o t e n ­ t i a l solvents a c c o r d i n g t o this m e t h o d a r e presented i n T a b l e I. A n y m e m b e r o f either h o m o l o g o u s series c a n b e u s e d . T h e reason b e h i n d this a p p r o a c h is that w h i l e the m e m b e r s o f a h o m o l o g o u s series f o r m essen­ t i a l l y i d e a l solutions, t h e y f o r m n o n i d e a l solutions w i t h t h e other c o m ­ ponent. with

F o r e x a m p l e w h i l e m e t h a n o l forms essentially i d e a l solutions

ethanol,

1-propanol,

a n d 1-butanol,

n o n i d e a l solutions w i t h t h e m .

acetone

forms

increasingly

W h i l e t h e p a r t i a l pressure o f m e t h a n o l

decreases i n t h e presence o f a h i g h e r a l c o h o l , that o f acetone increases.

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

48

E X T R A C T I V E

Table I.

A Z E O T R O P I C

Potential Solvents for the Acetone "-Methanol

B.P.,

Solvent Methylethyl

ketone

102.0

M e t h y l i s o b u t y l ketone M e t h y l n - a m y l ketone,

etc.

DISTILLATION

6

Separation

B.P.,

Solvent

°C

79.6

M e t h y l η-propyl ketone

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A N D

°C

Ethanol

78.4

Propanol

97.8

115.9

Water

100.0

150.6

Butanol A m y l alcohol

117.0

Ethylene

197.4

137.8

glycol

"Boiling point: 54.6°C. B o i l i n g point: 64.7°C. b

So that a n a z e o t r o p e w i t h acetone does not f o r m , the a l c o h o l u s e d m u s t h a v e a h i g h e n o u g h b o i l i n g point.

T h i s r e q u i r e m e n t is r e l i a b l y

l i s h e d o n l y i f v a p o r - l i q u i d e q u i l i b r i u m d a t a for at least two,

estab­

preferably

three, of the m e m b e r s of the series w i t h acetone are k n o w n . T h e P i e r o t t i Deal-Derr

method

(4)

( d i s c u s s e d l a t e r ) o r the T a s s i o s - V a n

Winkle

m e t h o d ( 5 ) c a n b e u s e d i n this case. I n the latter m e t h o d a l o g - l o g p l o t of y°i vs. P°i s h o u l d y i e l d a straight line. F i g u r e 1 presents results for n-alcohols a n d b e n z e n e f r o m t h e i s o b a r i c ( 7 6 0 m m H g ) Coates (6).

d a t a of W e h e a n d

R e l i a b l e infinite d i l u t i o n a c t i v i t y coefficients are established

for the o t h e r η-alcohols f r o m d a t a for at least t w o , a n d p r e f e r a b l y three, of t h e m . T h e s e y° or W i l s o n (7)

values are u s e d w i t h equations l i k e those of V a n L a a r to generate a c t i v i t y coefficients

at i n t e r m e d i a t e

composi­

tions a n d to c h e c k for a n e x i s t i n g a z e o t r o p e o r a difficult separation c u r v e close to t h e 45°

(x-t/

line).

F r o m the t w o series the one of t h e alcohols is p r e f e r r e d because here acetone is the o v e r h e a d p r o d u c t a n d u s i n g a ketone causes the v o l a t i l i t y to invert.

Scheibel (3)

recommends

relative

that the lowest b o i l i n g

h o m o l o g , w h i c h does not f o r m a n azeotrope, is chosen.

An

alternative

a p p r o a c h suggests the h o m o l o g w h i c h b a r e l y meets the m i s c i b i l i t y re­ q u i r e m e n t , for this results i n h i g h selectivity

(8).

T h e choice between

these c o n f l i c t i n g suggestions m u s t b e m a d e o n the basis of

economical

considerations. Hydrocarbon Mixtures. H e r e i t is u s u a l l y n o t the existence of a n azeotrope b u t r a t h e r the close v a p o r pressure of the k e y

components

that often necessitates u s i n g extractive d i s t i l l a t i o n . T h e q u a l i t a t i v e c r i t e r i a for solvent selection for h y d r o c a r b o n tures h a v e b e e n d i s c u s s e d b y P r a u s n i t z a n d A n d e r s o n ( 9 ) a n d P r a u s n i t z (10). (II),

and

mix­

Weimer

S i n c e a r e v i e w was p r e s e n t e d r e c e n t l y b y Tassios

o n l y the c o n c l u s i o n s are discussed here.

T h e types of possible interactions b e t w e e n a m i x t u r e of h y d r o c a r b o n s a n d a p o l a r solvent are:

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

4.

Extractive

TASSIOS

Distillation

49

Solvents

1. p h y s i c a l ( d i s p e r s i o n a n d d i p o l e - i n d u c e d d i p o l e ) 2. c h e m i c a l ( r e s u l t i n g f r o m t h e f o r m a t i o n of l o o s e l y b o u n d aggre­ gates) U s i n g p h y s i c a l i n t e r a c t i o n alone, P r a u s n i t z a n d A n d e r s o n ( 9 ) a n d W e i m e r a n d P r a u s n i t z (10)

h a v e d e v e l o p e d this s i m p l i f i e d expression

for h y d r o c a r b o n selectivity, S° 3, at infinite d i l u t i o n i n a solvent: 2

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lnS°2s

oc ( r x W e - V a )

(3)

w h e r e η is the p o l a r cohesive e n e r g y d e n s i t y of the solvent, w h i c h is rer e l a t e d to the p o l a r i t y a n d t h e m o l a r v o l u m e of t h e solvent. References 10 a n d 11 e x p l a i n h o w to c a l c u l a t e τ. T h e s e l e c t i v i t y is h i g h e r , t h e l a r g e r the difference i n m o l a r v o l u m e b e t w e e n the h y d r o c a r b o n s a n d the l a r g e r the p o l a r cohesive e n e r g y d e n s i t y ( τ ) of t h e solvent. P r a u s n i t z a n d c o w o r k e r s (9, 10),

Gerster a n d his coworkers (12), Pierroti, D e a l , a n d D e r r

a n d D e a l a n d D e r r (14) conclusions.

F o r e x a m p l e , the selectivities of the p a i r h e x a n e - b e n z e n e

at 2 5 ° C w i t h v a r i o u s solvents (14) for τ

χ

(13),

g i v e e x p e r i m e n t a l e v i d e n c e to s u p p o r t the a b o v e are p r e s e n t e d a l o n g w i t h the values

i n T a b l e I I a n d p l o t t e d against e a c h other i n F i g u r e 2.

Here

3.0L.

l.ol 5.0

I

I

I

I

I 6.0

ι

ι

I

I

I 7.0

I

I

L

lnP°

Figure 1. Prediction of infinite dilution activity coefficients for numbers of a homologous series m a common solvent: n-Alcohols in Benzene at 1 atm

A 7°B

vs. P°B

·

7°A vs. P°A

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

50

E X T R A C T I V E

A N D

A Z E O T R O P I C

DISTILLATION

( V 3 - V 2 ) is constant, a n d the s e l e c t i v i t y tends to increase w i t h τ ,

indi­

2

χ

c a t e d b y E q u a t i o n 3. L o o s e l y b o u n d aggregates ( c h e m i c a l effects) are f o r m e d w i t h the h y d r o c a r b o n s a c t i n g as e l e c t r o n d o n o r s ( L e w i s b a s e ) a n d t h e acting

as

electron

acceptors

(Lewis

acid).

The

forms the m o s t stable c o m p l e x w i t h the solvent experiences a i n volatility.

E l e c t r o n donors

are r a t e d b y

that

decrease

ionization potential,

e l e c t r o n acceptors are r a t e d b y t h e i r e l e c t r o n affinities.

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solvents

hydrocarbon

The

and

selectivity

w i l l b e h i g h e r , the l a r g e r the difference i n i o n i z a t i o n p o t e n t i a l b e t w e e n the h y d r o c a r b o n s a n d the l a r g e r the e l e c t r o n affinity of the solvent While

data

(15, 16),

on

ionization potentials

of

hydrocarbons

can be

(9). found

e l e c t r o n affinities d a t a are r a r e because of difficulties i n t h e i r

experimental

determination.

Prausnitz and Anderson

that the s i g m a scale, p r o p o s e d b y H a m m e t t (17),

(8)

b e u s e d to

recommend determine

a p p r o x i m a t e l y the s o l v e n t s r e l a t i v e a b i l i t y to f o r m complexes w i t h the two hydrocarbons.

A t t e m p t s b y this a u t h o r , h o w e v e r , to use this scale

w e r e n o t c o n c l u s i v e . P r a u s n i t z a n d A n d e r s o n (8)

s h o u l d b e c o n s u l t e d to

u n d e r s t a n d better the p h y s i c a l a n d c h e m i c a l effects. The Effect of Solvent and Solute Concentration. T h e effect of solvent c o n c e n t r a t i o n o n selectivity is q u a l i t a t i v e l y d e s c r i b e d b y three types

(2,

11 ) s h o w n i n F i g u r e 3. I n the first t y p e the s e l e c t i v i t y increases a l m o s t l i n e a r l y w i t h solvent c o n c e n t r a t i o n , a n d this seems to represent the p r e d o m i n a n t p a t t e r n 19).

(18,

I n the s e c o n d t y p e the s e l e c t i v i t y increases m o r e t h a n l i n e a r l y w i t h

solvent c o n c e n t r a t i o n , b u t it is h a l t e d b y i m m i s c i b i l i t y at h i g h solvent c o n c e n t r a t i o n s (20).

T h e t h i r d t y p e shows a m a x i m u m a n d is a n u n u s u a l

p a t t e r n . O n e s u c h case was o b s e r v e d b y H e s s et al. (21)

i n s t u d y i n g the

s e p a r a t i o n of 1-butane f r o m butenes-2 w i t h the f u r f u r a l solvent Table II.

(96.5%

Selectivities and Polar Cohesive Energy Densities for the Hexane ( l ) - B e n z e n e (2) System at 25°C (12) Solvent

M E K Acetone Pyridine Aniline Acetonitrile Propionitrile Nitromethane Nitrobenzene Phenol Furfural Dimethyl-sulfoxide D i m e t h y l formamide

S°2J 3.6 3.8 5.2 12.2 9.4 6.5 15.0 5.8 6.0 10.9 22.0 12.5

T (cal/cc)

m

t

5.33 6.14 3.71 6.37 8.98 7.17 9.44 4.89 9.84 7.62 9.47 8.07

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

4.

TASSIOS

Extractive

Distilfotion

51

Solvents

1.4



1.2

-

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1/1





1.0

0.8

0.6

1

1





















20

I

1

I

40

60

80

ι

1

I g.molel Figure

2.

Variation of selectivity with solvent's polar cohesive system: hexane (l)-benzene (2) at 25°C (12)

weight furfural and 3 . 5 % water). that

selectivity

H o w e v e r , G e r s t e r et al

i n c r e a s e d w i t h solvent

c o n c e n t r a t i o n for

density;

(22)

report

the

system

b u t a n e - b u t e n e - 1 w i t h p u r e f u r f u r a l as solvent. C o n s i d e r i n g the extensive e x p e r i m e n t a l w o r k of the s e c o n d s t u d y , the results s h o u l d b e c o n s i d e r e d m o r e r e l i a b l e . A n o t h e r case i n v o l v e s the s e p a r a t i o n of e t h y l b e n z e n e f r o m e t h y l c y c l o h e x a n e w i t h h e x y l e n e g l y c o l as solvent ( 2 3 ) .

The maximum

appears i n this case i f definite, a n d t h e d a t a are r e p r o d u c e d . T h i s decrease i n s e l e c t i v i t y at h i g h e r solvent c o n c e n t r a t i o n results f r o m the

higher

temperatures r e s u l t i n g f r o m l a r g e r solvent c o n c e n t r a t i o n , for as t e m ­ p e r a t u r e increases, s e l e c t i v i t y decreases. S e l e c t i v i t y is also affected b y the r e l a t i v e concentrations of the k e y c o m p o n e n t s . If c o m p o n e n t ( 1 ) forms a m o r e n o n i d e a l s o l u t i o n w i t h t h e solvent t h a n c o m p o n e n t ( 2 ) , a decrease i n Xi w i l l affect y χ m u c h m o r e t h a n a decrease of x w i l l affect y . 2

2

more rapidly than w h e n x

2

H e n c e , as X i decreases, οi2 increases

decreases.

Experimental evidence

(19,

20)

c l e a r l y shows this. F o r e x a m p l e , c o n s i d e r h o w p r o p a n o l affects the r e l a ­ tive v o l a t i l i t y of the n-hexane ( l ) - b e n z e n e ( 2 )

system. H e x a n e forms a

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

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52

E X T R A C T I V E

0 0

0.2

04

0.0

02

0.4

Figure •

A N D

A Z E O T R O P I C

Solvent Mole Fraction 06 08

0.6 Solvent V o l u m ^

1 0

0 8 y d r e e

1.0 V

o

|

3. Variation of refotive volatility with solvent Hydrocarbon ratio is 1:1. P: Constant. ethylcyclohexane (l)-ethyl

DISTILLATION

amount.

benzene (2)/hexylene glycol (22)

A n-hexane (l)-~benzene (2)/l-propanol (18) φ 2-4 dimethylpentane (l)-benzene (2)/aniline (19)

m o r e n o n i d e a l system w i t h p r o p a n o l t h a n b e n z e n e (xi/xo)

(19).

A s the r a t i o

decreases, Si increases. T h i s w a s o b s e r v e d e x p e r i m e n t a l l y 2

(19)

(see F i g u r e 4 ) . Mixed Solvents Effect.

U s i n g m i x e d solvents c a n i m p r o v e selectivity.

F o r e x a m p l e , a d d i n g s m a l l a m o u n t s o f w a t e r has i m p r o v e d the selectivity of f u r f u r a l i n s e p a r a t i n g C (25)

4

h y d r o c a r b o n s (24). B a u m g a r t e n a n d G e r s t e r

h a v e s t u d i e d h o w v a r i o u s solvents affect the selectivity o f f u r f u r a l

for t h e p e n t a n e - p e n t e n e p a i r . T h e y c o n c l u d e d t h a t for o n l y a f e w solvents some i m p r o v e m e n t w a s o b s e r v e d .

T h e r e s u l t i n g s e l e c t i v i t y lies b e t w e e n

t h e s e l e c t i v i t y of the p u r e solvents ( see T a b l e III ). T o a v o i d i m m i s c i b i l i t y at h i g h solvent c o n c e n t r a t i o n s , a s e c o n d solvent is sometimes a d d e d

(25).

The Effect of Temperature. T h e t e m p e r a t u r e effect o n s e l e c t i v i t y is given by:

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

4.

Extractive

TASSIOS

Distilfotion

53

Solvents

d(logS° ) 12

_

tf(l/T)

~

L \ - L \ 2.303R

v

'

w h e r e L° is p a r t i a l m o l a r heat of s o l u t i o n , c o m p o n e n t k at infinite d i l u ­ t i o n i n the solvent. k

F o r h y d r o c a r b o n pairs i n different solvents a n d over m o d e r a t e t e m ­ p e r a t u r e ranges (to 1 0 0 ° C ) , a l i n e a r d e p e n d e n c y of l o g S ° i o n ( 1 / T ) c a n b e a s s u m e d (12, 14, 26). A n e x a m p l e is s h o w n i n F i g u r e 5, w h e r e l o g S° for t h e h e x a n e - b e n z e n e p a i r i n five different solvents is p l o t t e d against t h e r e c i p r o c a l absolute temperature. T h e r e l a t i o n s h i p c a n b e c o n s i d e r e d l i n e a r for e n g i n e e r i n g a p p l i c a t i o n s . S e l e c t i v i t y decreases w i t h i n c r e a s i n g temperature, a n d this explains t h e u n u s u a l m a x i m u m i n t h e v a r i a t i o n of selectivity w i t h solvent c o n c e n t r a t i o n s h o w n b y t h e system e t h y l b e n z e n e - e t h y l c y c l o h e x a n e w i t h h e x y l e n e g l y c o l as solvent ( F i g ­ ure 3 ) .

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2

30

i.ol

0.0

ι

I

02

I

I

04

ι

I

1

0.6

1 0 8

1—

1.0

M. Van Winkle, "Distillation," McGraw-Hill Figure 4. Variation of relative volatility with composition (2). Sys­ tem: hexane (l)-benzene (2)/l-propanol (3) at 760 mm (18). x,/x : · 2

1:3, A

1:1, •

3:1

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

54

E X T R A C T I V E

Table III.

Mixed

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1-Pentene(2)

P r o p a n e (3) P r o p y l e n e (2) α

A Z E O T R O P I C

DISTILLATION

Selectivity of Pure and Mixed Solvents

Solute

n-Pentane(3)

A N D

Solvents

B;

Vol%

s

a

A

Β

M e t h y l Cellosolve M e t h y l Cellosolve M e t h y l Cellosolve

Nitromethane Nitromethane Nitromethane

0 5 100

1.69 1.70 2.49

Pyridine Pyridine Pyridine

-Butyrolactone -Butyrolactone -Butyrolactone

0 32.1 100

1.60 1.79 2.17

E t h y l m e t h y l ketone E t h y l m e t h y l ketone E t h y l m e t h y l ketone

-Butyrolactone -Butyrolactone -Butyrolactone

100 50 0

2.17 1.79 1.62

Acetonitrile Acetonitrile Acetonitrile

Water Water Water

0 50 100

1.64 1.34 .98

Acetonitrile-water data from Reference 41, all others from Reference

Quantitative

Methods

Infinite d i l u t i o n a c t i v i t y coefficients are p r e d i c t e d b y several methods (4,5,10,

27,28, 29, 30, 31).

method

(4),

method

(10),

T h e m o s t g e n e r a l are the P i e r o t t i - D e a l - D e r r

the p a r a c h o r m e t h o d modified

(27),

a n d the

Weimer-Prausnitz

by Hellpinstill and V a n Winkle

a c c u r a c y is l i m i t e d i n these m e t h o d s

Since

(28).

a n d noninfinite dilution

tions p r e v a i l i n a c t u a l operations, the infinite d i l u t i o n a c t i v i t y

condi­

coefficients

o b t a i n e d s h o u l d o n l y be u s e d for s c r e e n i n g purposes. Pierotti-Deal-Derr Method (4). (γ°)

Infinite d i l u t i o n a c t i v i t y

coefficients

of s t r u c t u r a l l y r e l a t e d systems are c o r r e l a t e d i n this m e t h o d to the

n u m b e r of c a r b o n atoms of the solute a n d solvent (n

x

m e m b e r s of the h o m o l o g o u s series H ( C H 2 )

w l

a n d n^).

F o r the

X i ( s o l u t e ) i n the m e m b e r s

of the h o m o l o g o u s series H ( C H ) „ Y 2 : 2

log o y

x

_

A

+

l l

+

n

2

2

B

2

^ + ^ no

w h e r e the constants are functions of t e m p e r a t u r e , B of t h e solvent series, C

x

of b o t h , a n d D

Q

(5)

+ Dofa-n*)* U\ 2

and F

is a f u n c t i o n of the solute series, A

lt2

2

are f u n c t i o n s is a f u n c t i o n

is i n d e p e n d e n t of b o t h .

F o r z e r o m e m b e r s of a series—e.g., w a t e r for a l c o h o l s — n o infinite v a l u e for y°

is o b t a i n e d .

Instead, b y c o n v e n t i o n , a n y terms c o n t a i n i n g

a n η for the z e r o m e m b e r are i n c o r p o r a t e d i n the c o r r e s p o n d i n g cient. So for η-alcohols i n w a t e r :

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

coeffi­

4.

TASSIOS

Extractive

Distilhtion

l o g y\ Notice

= Κ + B % + 2

that the t e r m D

(%-n )

0

constant because D

G

55

Solvents

2

x

was

2

(6)

CJn

i n c o r p o r a t e d i n t o the

Κ

is s m a l l e r t h a n the other coefficients b y a factor of

1 0 ; therefore, this t e r m is insignificant. I n E q u a t i o n 6 o n l y Κ is a f u n c ­ 3

t i o n of the solute a n d solvent, as stated before.

B

2

is a l w a y s the same

w h e n w a t e r is the solvent a n d C i is the same for η-alcohol solutes.

This

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is s h o w n better f r o m t h e f o l l o w i n g h o m o l o g o u s series i n w a t e r at 100°C: η-Alcohols:

l o g y\

=

-0.420 +

(0.517)% +

(0.230)/%

η-Aldehydes: l o g y ° = - 0 . 6 5 0 + ( 0 . 5 1 7 ) % + ( 0 . 3 2 ) / % 1

T h e coefficient Β is the same i n b o t h cases. E q u a t i o n 6 assumes a different f o r m for c y c l i c c o m p o u n d s i n a solvent.

F o r unalkylated cyclic (aromatic

and/or naphthenic)

fixed

hydro­

c a r b o n s i n fixed solvents: log y\ where

B

a

and B

n

=

Κ + Bn

are

solvent

a

+ Bn

a

n

n

+ C [l/r -

dependent

r

1]

constants, C

(8) r

is

constant,

d e p e n d i n g o n the t y p e of ring ( d i p h e n y l l i k e or n a p h t h a l e n e l i k e ) , r is the n u m b e r of rings, a n d n

a

bers, respectively.

a n d η% are a r o m a t i c a n d n a p t h e n i c c a r b o n n u m ­

F o r e x a m p l e for d i p h e n y l l i k e h y d r o c a r b o n s i n p h e n o l

at 2 5 ° C : logy\ =

0.383 + 0.1421 n + 0 . 2 4 0 6 n a

n

+

1.845[l/r -

1]

30 I

(9)

~

1

1.0 I

I.JU

Figure 5. Dependence of selectivity on temperature. System: hexane (1}benzene (2). φ nitrobenzene, A acetonitrile, + furfural, ψ dimethyl sulfolane, Ο diethylene glycol

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

56

E X T R A C T I V E

A N D AZEOTROPIC

DISTILLATION

C o r r e l a t i o n s f o r various systems, d e v e l o p e d b y u s i n g e x p e r i m e n t a l d a t a o n 2 6 5 systems, are a v a i l a b l e ( I I , 2 6 ) . T h e r e l a t i o n s h i p s u s e d , the n u m e r i c a l values o f t h e constants, a n d t h e c a l c u l a t e d a n d e x p e r i m e n t a l values f o r y° are a v a i l a b l e ( 1 3 ) a n d s h o u l d b e u s e d t o s t u d y solvent selection. The Parachor Method ( 2 7 ) . Infinite d i l u t i o n a c t i v i t y coefficients are

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o b t a i n e d a c c o r d i n g to this m e t h o d f r o m the f o l l o w i n g r e l a t i o n s h i p ( 2 7 ) :

^-^άκτ^ - ^

10

1/2 €υ

2

(10)

w h e r e 17* is p o t e n t i a l e n e r g y o f c o m p o n e n t i c a l c u l a t e d f r o m : C7< · = ( A H a p ) i — R T , Δ Η ρ is e n t h a l p y o f v a p o r i z a t i o n , c a l / g r a m m o l e , C is a constant, a f u n c t i o n o f temperature, t h e p a r a c h o r r a t i o o f the t w o c o m ­ ponents, a n d t h e n u m b e r o f c a r b o n atoms i n t h e solute a n d solvent m o l e c u l e s ; R is t h e gas constant. V

ν Λ

E q u a t i o n 10 generalizes t h e expression o f E r d o s ( 3 1 ) a p p l i c a b l e to c o m p o n e n t s i n v o l v i n g t h e same f u n c t i o n a l g r o u p . R e t u r n i n g to t h e c o n ­ stant C i n E q u a t i o n 10, u s u a l l y t h e n u m b e r o f c a r b o n atoms does n o t d i r e c t l y affect t h e constant. A p p a r e n t l y this effect is c o r r e c t e d b y t h e p a r a c h o r w h i c h changes w i t h t h e n u m b e r of c a r b o n atoms. F o r example, for aromatics i n f u r f u r a l : C — (0.5632 + 0.03 X 10" *) (Pi/P ) 4

2

02222

(11)

a n d f o r naphthenes i n f u r f u r a l : l o g C = (0.2658 + 14.53 X 10" £) (log P i / P 4

2

- 0.5982) - 0.2679 (12)

w h e r e P i is p a r a c h o r o f c o m p o n e n t i a n d t is temperature, ° C . A b o u t t h e same v a r i e t y o f systems, c o v e r e d i n t h e P D D m e t h o d , is c o v e r e d i n this a p p r o a c h , a n d t h e expressions f o r C are g i v e n elsewhere ( 2 7 ) . A c o m p a r i s o n b e t w e e n t h e P D D a n d t h e p a r a c h o r m e t h o d seems to suggest t h a t t h e latter is n o w o r s e t h a n t h e former, a n d often better ( 2 7 ) . F o r t h e systems c o n s i d e r e d , t h e p a r a c h o r m e t h o d gives l o w e r m a x i m u m deviations i n 11 cases, t h e P D D i n 7. A l s o , t h e authors o f t h e p a r a c h o r m e t h o d c l a i m better a c c u r a c y w h e n e x t r a p o l a t i o n w i t h respect to tempera­ ture is r e q u i r e d . F o r example, t h e case o f n-heptane ( 1 ) i n 1-butanol ( 2 ) is c i t e d . V a l u e s f o r y° c a l c u l a t e d b y e x t r a p o l a t i n g t h e P D D constants to temperatures r a n g i n g f r o m 114.5°C-171.9°C y i e l d error r a n g i n g f r o m 1 0 0 - 2 0 0 % ; t h e errors f o r t h e p a r a c h o r m e t h o d range b e t w e e n 0 . 5 - 3 . 6 % . H o w e v e r , this is t h e o n l y c o m p a r i s o n a v a i l a b l e ( 2 7 ) a n d m a y n o t a l w a y s b e v a l i d . T h e p a r a c h o r values are estimated f o r different c o m p o u n d s b y a g r o u p c o n t r i b u t i o n m e t h o d (32, 33). The Weimer-Prausnitz (WP) Method (10). S t a r t i n g w i t h t h e H i l d e b r a n d - S c h a t c h a r d m o d e l f o r n o n p o l a r mixtures (34), W e i m e r a n d P r a u s -

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

4.

Extractive

TASSIOS

DistiUation

Solvents

57

n i t z d e v e l o p e d a n expression for e v a l u a t i n g values of h y d r o c a r b o n s i n p o l a r solvents: R T lny°

-

2

RT[

ν [(λχ -

λ )

2

2

In V / V i + 2

+

2

η

2

-

2ψ ]

+

12

V2/V1]

1 -

(13)

w h e r e V * is t h e m o l a r v o l u m e of p u r e i, c c / g r a m m o l e , λ* is t h e n o n p o l a r s o l u b i l i t y parameter, c o m p o n e n t i , a n d r is the p o l a r s o l u b i h t y p a r a m e t e r , {

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c o m p o n e n t i . T h e s u b s c r i p t 1 represents the p o l a r solvent a n d s u b s c r i p t 2 is the h y d r o c a r b o n solute w i t h f

1 2

—fc'n

(14)

2

Later H e l p i n s t i l l and V a n W i n k l e (28)

suggested that E q u a t i o n 13

is i m p r o v e d b y c o n s i d e r i n g the s m a l l p o l a r s o l u b i l i t y p a r a m e t e r of

the

h y d r o c a r b o n (olefins a n d a r o m a t i c s ) : RTZny

o

2

-V [(Ai -λ ) 2

2

2

R T [ l n V2/V1 +

+

(η -

τ*) 2

2ψ ] 12

+

V2/V1]

1 -

(13a)

A l s o E q u a t i o n 14 b e c o m e s : ψ

12

=

1ϊ(τ

1

-

τ ) 2

(14a)

2

T h e v a l u e of k was o b t a i n e d b y c u r v e - f i t t i n g e x p e r i m e n t a l

infinite

d i l u t i o n a c t i v i t y coefficients of paraffins, olefins, a n d aromatics i n several p o l a r solvents. Table IV.

T h e v a l u e of k for e a c h h y d r o c a r b o n g r o u p is g i v e n i n

T h e values for λ are t a k e n f r o m plots ( 2 8 ) . {

c a l c u l a t i n g ^ is also a v a i l a b l e T h e term ψ

12

The method

for

(28).

corresponds to the i n d u c t i o n e n e r g y b e t w e e n the p o l a r

a n d n o n p o l a r , or s l i g h t l y p o l a r , species.

S i n c e n o c h e m i c a l effects

are

i n c l u d e d , the c o r r e l a t i o n s h o u l d not b e u s e d for solvents s h o w i n g s t r o n g hydrogen bonding. Rapid Experimental

Techniques

T h e safest m e t h o d u s e d to choose extractive d i s t i l l a t i o n solvents is to m e a s u r e d i r e c t l y m u l t i c o m p o n e n t v a p o r - l i q u i d e q u i l i b r i u m d a t a of the c o m p o n e n t s i n v o l v e d w i t h the solvents b e i n g c o n s i d e r e d . T h i s , h o w ­ ever, is a tedious, t i m e c o n s u m i n g a p p r o a c h . T h e r e are r a p i d e x p e r i m e n t a l t e c h n i q u e s w h i c h c a n at least be u s e d i n the s c r e e n i n g stage of selecting t h e solvent.

T w o m e t h o d s are d i s c u s s e d h e r e ; b o t h use g a s - l i q u i d c h r o ­

m a t o g r a p h y , a n d t h e y are s i m p l e a n d r a p i d . T h e first ( 3 5 ) to screen; the s e c o n d (36), tive volatilities.

is o n l y u s e d

besides screening, gives infinite d i l u t i o n r e l a ­

B o t h methods

r e q u i r e a solvent w i t h a l o w e r

pressure t h a n the solutes as i n extractive d i s t i l l a t i o n .

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

vapor

58

E X T R A C T I V E

A N D A Z E O T R O P I C

Values for k in Equation

Table IV.

(14a)

System

k

% Average Absolute Error in γ°

Paraffins Olefins Aromatics

0.399 0.388 0.447

11.6 8.5 13.5

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DISTILLATION

(GLC)

separating mixture components

l i q u i d b e i n g a b l e to i n t e r a c t w i t h different w i t h t h e v a p o r pressure differences.

chromatography

is b a s e d o n the p a r t i t i o n i n g strengths w i t h t h e m , a l o n g

T h e same is true for a n extractive

d i s t i l l a t i o n solvent. It seems l o g i c a l , therefore, that extractive d i s t i l l a t i o n solvents c o u l d b e r a t e d o n t h e i r p e r f o r m a n c e as p a r t i t i o n i n g l i q u i d s w i t h the m i x t u r e u n d e r c o n s i d e r a t i o n . W a r r e n et al. (37)

a n d Sheets a n d M a r c h e l l o (38)

have

suggested

u s i n g g a s - l i q u i d c h r o m a t o g r a p h y to s t u d y extractive d i s t i l l a t i o n solvents. I n t h e first s t u d y (37) a n i n d i v i d u a l c o l u m n w a s p r e p a r e d f o r e a c h solvent b y u s i n g this solvent as a p a r t i t i o n i n g l i q u i d .

It is a tedious,

time-

c o n s u m i n g m e t h o d a n d w a s r e s t r i c t e d to solvents o f h i g h b o i l i n g p o i n t . F i n a l l y t h e e x p e r i m e n t a l e v i d e n c e b a s e d o n l i m i t e d d a t a is n o t c o n c l u s i v e . Sheets a n d M a r c h e l l o (38)

significantly s i m p l i f i e d i t b y r e p l a c i n g t h e

p r e p a r i n g o f i n d i v i d u a l c o l u m n s f o r e a c h solvent w i t h d i r e c t l y i n j e c t i n g the solvent i n a c h r o m a t o g r a p h c o n t a i n i n g a g e n e r a l p u r p o s e c o l u m n . N o e x p e r i m e n t a l e v i d e n c e w a s g i v e n to s u p p o r t a p p l y i n g G L C t o rate extractive d i s t i l l a t i o n solvents.

R e c e n t l y Tassios

( 3 5 ) has p r o v e d

that

the m e t h o d is effective for screening. T h e t e c h n i q u e consists o f i n j e c t i n g a c e r t a i n a m o u n t (e.g., 3 c c ) of the solvent b e i n g c o n s i d e r e d i n t o the c h r o m a t o g r a p h c o n t a i n i n g a g e n e r a l p u r p o s e c o l u m n o r a c o l u m n c o n t a i n i n g a n inert s u p p o r t . N e x t , f o u r o r five 5 - m l samples o f a m i x t u r e of t h e k e y c o m p o n e n t s are injected, a n d t h e s e p a r a t i o n factor, F , 12

is m e a s u r e d f o r e a c h s a m p l e : F

12

(15)

= D /£>i 2

w h e r e D is distance b e t w e e n a i r p e a k a n d p e a k f o r c o m p o n e n t i as s h o w n {

i n F i g u r e 6. T h e o b t a i n e d values o f F

12

f o r these samples a r e p l o t t e d

against

t i m e f r o m solvent injection to establish t h e m a x i m u m v a l u e f o r t h e sepa­ r a t i o n factor, F12 ( m a x ) .

F u r t h e r details a b o u t t h e e x p e r i m e n t a l t e c h ­

n i q u e are i n t h e o r i g i n a l p a p e r ( 3 5 ) . T h e larger t h e v a l u e o f F

12

(max),

the better t h e solvent c a n separate t h e m i x t u r e , i n d i c a t i n g a better ex­ t r a c t i v e d i s t i l l a t i o n solvent.

T h i s w a s v e r i f i e d b y c o m p a r i n g values f o r

F12 ( m a x ) a n d infinite d i l u t i o n r e l a t i v e v o l a t i l i t i e s ( « ° i 2 ) for t h e system n-hexane—benzene

w i t h six different solvents.

T h e results p r e s e n t e d i n

In Extractive and Azeotropic Distillation; Tassios, D.; Advances in Chemistry; American Chemical Society: Washington, DC, 1974.

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4.

TASSIOS

Extractive

Distilhtion

59

Solvents

1 Figure 6.

Evaluation

of the separation

factor

Fjg

T a b l e V a n d p l o t t e d i n F i g u r e 7 suggest t h a t the l a r g e r the v a l u e of a°i2, the l a r g e r the v a l u e of F

(max).

12

T h e deviations observed w i t h

d i e t h y l e n e g l y c o l m u s t r e s u l t f r o m the l i m i t e d s o l u b i l i t y of n-hexane a n d benzene i n this solvent ( 3 5 ) .

C o m p a r i n g the solvents b a s e d o n the same

v o l u m e is r e c o m m e n d e d because i t is easier a n d seems m o r e c o n c l u s i v e . Infinite Dilution Relative Volatilities through G L C . If the solvent a m o u n t injected i n the c o l u m n is h i g h e n o u g h so t h a t i n f i n i t e d i l u t i o n c o n d i t i o n s for the i n j e c t e d solute p r e v a i l , it is r e a d i l y s h o w n ( 3 8 ) the s e p a r a t i o n factor

becomes

e q u a l to the infinite d i l u t i o n

that

relative

volatility: (16)