55 Counterdiffusion of Liquid Hydrocarbons in
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Type Y Zeolites CHARLES N. SATTERFIELD and JAMES R. KATZER
1
Massachusetts Institute of Technology, Cambridge, Mass.
The nature of the cations present in a zeolite can have a marked effect upon the rate of intracrystalline counterdif fusion, as shown by studies with several selected aromatic hydrocarbons in a series of ion-exchanged forms of the type Y zeolite. For 1-methylnaphthalene diffusing from type Y into bulk cumene, the desorptive diffusion coefficients vary by 2 orders of magnitude over different ion-exchanged forms in the order: NaY < CaY < SK-500 < CeY < HY The results are interpreted in terms of the size of the diffus ing molecule and the effect of the cation upon the pore size of the zeolite. Counterdiffusion of the molecules studied occurs readily in the various forms of type Y zeolite, but molecule-molecule interactions between the counterdiffusing molecules have a pronounced effect upon the diffusion rate. Τ η m o s t a p p l i c a t i o n s of zeolites, i t is necessary for m o l e c u l e s to b e a b l e -*· to diffuse i n t o or out of t h e i r fine p o r e structure, a n d i n m a n y of these a p p l i c a t i o n s , p a r t i c u l a r l y catalysis, the c o u n t e r d i f f u s i o n of at least 2 different k i n d s of m o l e c u l e s o c c u r s .
T h e rates of these d i f f u s i o n p r o c
esses c a n h a v e a p r o f o u n d effect u p o n the a p p a r e n t a c t i v i t y a n d selec t i v i t y of z e o l i t i c catalysts (21 ) a n d u p o n s u c h characteristics as d i s p e r s i o n a n d sharpness of s e p a r a t i o n i n the use of zeolites i n s e p a r a t i o n
and
p u r i f i c a t i o n processes. T h e state of k n o w l e d g e of i n t r a c r y s t a l l i n e d i f f u s i o n i n zeolites is r e v i e w e d b y B a r r e r i n a p a p e r f o r this s y m p o s i u m (4).
Little
is k n o w n a b o u t u n i d i r e c t i o n a l d i f f u s i o n i n zeolites of substances of i n d u s 1
Present address : University of Delaware, Newark, Del.
193
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
194
M O L E C U L A R SIEVE
t r i a l interest
ZEOLITES
II
s u c h as h y d r o c a r b o n s , a n d n o i n f o r m a t i o n seems t o b e
a v a i l a b l e o n c o u n t e r d i f f u s i o n except f o r t h e s e l f - d i f f u s i o n of w a t e r (4, 5). L i m i t e d i n f o r m a t i o n is a v a i l a b l e o n d i f f u s i o n i n zeolites w h e n c o n t a c t e d w i t h a l i q u i d ( I , 2, 3, 19) a n d a p p a r e n t l y none i n t h e t y p e X a n d Y zeolites, w h i c h are o f i m p o r t a n c e i n catalysis. T h e p o r e structure of t y p e Y is d e s c r i b e d , f o r e x a m p l e , b y B r e c k a n d F l a n i g e n ( 9 ) . I t consists essentially o f a t h r e e - d i m e n s i o n a l a r r a y of large cavities w i t h a d i a m e t e r of a b o u t 12 A i n t e r c o n n e c t e d b y p o r e apertures w i t h diameters of a b o u t 8 A . T h e s e d i m e n s i o n s v a r y s l i g h t l y w i t h t h e S i / A l ratio i n t h e zeolite a n d t h e n u m b e r a n d k i n d s of cations
present.
T h e m a i n objective o f this s t u d y was to d e t e r m i n e t h e c o u n t e r d i f f u s i o n characteristics
of selected l i q u i d h y d r o c a r b o n s — b e n z e n e ,
cumene,
1 - m e t h y l n a p h t h a l e n e , a n d 2 - e t h y l n a p h t h a l e n e — i n several i o n - e x c h a n g e d f o r m s o f the t y p e Y zeolite a n d thus to b e g i n t o p r o v i d e a n u n d e r s t a n d i n g of t h e role w h i c h d i f f u s i o n m a y b e p l a y i n g i n v a r i o u s a p p l i c a t i o n s o f zeolites. T h i s is a p a r t of the larger, t h e o r e t i c a l p r o b l e m of u n d e r s t a n d i n g t h e p h y s i c s o f m o l e c u l a r m o t i o n i n s i d e pores
with
diameters
which
a p p r o a c h t h e d i a m e t e r o f t h e molecules d i f f u s i n g i n t h e m . Experimental
Materials and Methods
M a t e r i a l s U s e d . T h e N a Y zeolite a n d a n i o n - e x c h a n g e d f o r m of i t , SK-500, were supplied b y U n i o n C a r b i d e C o r p . , L i n d e D i v i s i o n , i n the f o r m of uncalcined powder. T h e SK-500
( L o t N u m b e r 12506-39) is a
r a r e e a r t h - a m m o n i u m e x c h a n g e d t y p e Y zeolite a n d h a d n o t b e e n a c t i v a t e d p r e v i o u s l y o r c a l c i n e d i n its p r e p a r a t i o n . T h e c a l c u l a t e d u n i t c e l l f o r m u l a was (Re +) . ( N H ) i . i ( N a + ) . 3
8
8
4
+
2
8
3
[(Α10 ) .7 (Si0 ) 2
5 5
2
1 3 6
.3]
ZH 0 2
A c c o r d i n g to t h e analysis s u p p l i e d b y L i n d e , t h e rare earths w e r e p r e dominantly lanthanum.
A n i n d e p e n d e n t s o d i u m analysis a g r e e d
with
that s u p p l i e d b y L i n d e . T h e N a Y zeolite p o w d e r ( L o t N u m b e r 12, 119-69) h a d a c a l c u l a t e d formula of Na
5 7
[(Α10 )β7 (Si0 ) 2
2
135
]
·
ZH 0 2
T h e N a Y w a s d i v i d e d i n t o 4 e q u a l p o r t i o n s . O n e of these w a s u s e d as s u p p l i e d ; t h e other 3 w e r e i o n - e x c h a n g e d to either t h e c a l c i u m , c e r i u m , or a m m o n i u m f o r m .
I o n exchange w a s c a r r i e d o u t b y a c o m b i n a t i o n
batchwise—continuous p r o c e d u r e at a b o u t 80 ° C w i t h a large excess of e x c h a n g e s o l u t i o n . T h e s e w e r e p r e p a r e d f r o m reagent grade c h l o r i d e s a n d c o m p r i s e d 5 w t % C e C l , 10 w t % C a C l , o r 10 w t % N H C 1 , respec 3
2
4
t i v e l y , i n d i s t i l l e d w a t e r . A f t e r exchange, t h e zeolites w e r e w a s h e d w i t h
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
55.
SATTERFiELD
A N D KATZER
Counterdiffusion
of Hydrocarbons
195
d i s t i l l e d w a t e r u n t i l n o trace of the c h l o r i d e i o n a p p e a r e d i n the w a s h w a t e r . T h e degree of exchange b a s e d o n the n u m b e r of s o d i u m cations r e p l a c e d p e r u n i t c e l l was 8 9 % CeY.
for C a Y , 9 7 %
for N H Y , a n d 7 0 % 4
for
T h e l o w degree of exchange for c e r i u m p r o b a b l y r e s u l t e d f r o m the
i n a b i l i t y of the h y d r a t e d c e r i u m i o n to enter the sodalite units t h r o u g h t h e s i x - m e m b e r e d o x y g e n rings a n d replace the 16 s o d i u m cations p e r u n i t c e l l r e s i d i n g there
(22).
A f t e r the s t a n d a r d a c t i v a t i o n p r o c e d u r e ( d e s c r i b e d b e l o w ) , the N a Y and
S K - 5 0 0 r e m a i n e d h i g h l y c r y s t a l l i n e . T h e degree of c r y s t a l l i n i t y as
o b s e r v e d b y J . F . C h a r n e l l at the M o b i l O i l C o . e q u a l l e d the m a x i m u m f o u n d there f o r other samples of e a c h zeolite. N e i t h e r s a m p l e c o n t a i n e d a p p r e c i a b l e a m o r p h o u s matter (26).
T h e b e n z e n e s o r p t i o n c a p a c i t y after
i o n exchange a n d a c t i v a t i o n of e a c h of the t y p e Y zeolites w a s essentially the same a n d e q u a l to the v a l u e r e p o r t e d f o r N a X ( 8 ) , f u r t h e r i n d i c a t i n g that these p r o c e d u r e s d i d not result i n a n y m a r k e d changes i n the c r y s t a l structure.
H o w e v e r , use of a s l i g h t l y larger m o l e c u l e s u c h as t r i e t h y l -
a m i n e w o u l d h a v e b e e n a m o r e c r i t i c a l test. T h e d i f f u s i o n characteristics of a h y d r o c a r b o n c a n be affected m a r k e d l y b y traces of i m p u r i t i e s , so c o n s i d e r a b l e care w a s d e v o t e d t o w a r d s o b t a i n i n g a n d m a i n t a i n i n g materials of highest a v a i l a b l e p u r i t y .
Several
sources of s u p p l y w e r e e x a m i n e d for each m a t e r i a l , a n d the a v a i l a b i l i t y of a p a r t i c u l a r c o m p o u n d i n h i g h p u r i t y w a s a c r i t e r i o n i n the c h o i c e of diffusants. E a c h h y d r o c a r b o n was e x a m i n e d f o r i m p u r i t i e s b y gas c h r o m a t o g r a p h y a n d t h e n stored i n the d a r k over a m i x t u r e of f r e s h l y a c t i v a t e d 4 A a n d 1 3 X zeolite pellets. T h e b e n z e n e , f r o m F i s c h e r , w a s t h i o phene-free
a n d 99.944 m o l e %
p u r e , the o n l y m e a s u r a b l e
impurities
b e i n g m e t h y l c y c l o p e n t a n e a n d a n u n k n o w n c o m p o u n d of h i g h e r m o l e c ular weight. T h e cumene was from Matheson, C o l e m a n a n d B e l l and w a s 9 9 . 9 5 3 % p u r e , w i t h the o n l y m e a s u r a b l e i m p u r i t y b e i n g a trace of benzene.
B o t h s u b s t i t u t e d naphthalenes w e r e f r o m C o l u m b i a O r g a n i c
C h e m i c a l s C o . T h e 2 - e t h y l n a p h t h a l e n e ( 2 - E N ) was 99.92 m o l e %
pure
a n d c o n t a i n e d o n l y 1 i m p u r i t y a p p e a r i n g before the 2 - E N peak a n d a second i m p u r i t y some distance b e y o n d the 2 - E N peak.
The
1-methyl-
n a p h t h a l e n e ( 1 - M N ) was 99.39 m o l e % p u r e a n d c o n t a i n e d 3 i m p u r i t i e s a p p e a r i n g before the 1 - M N p e a k a n d 1 a p p e a r i n g after it. N o a t t e m p t w a s m a d e to i d e n t i f y these i m p u r i t i e s . Apparatus and Procedure. T h e zeolite i n the f o r m of single crystals was a c t i v a t e d to r e m o v e w a t e r , a n d also a m m o n i a i n the case of the S K 500 a n d N H Y , f r o m the p o r e structure. T h e a c t i v a t i o n w a s c a r r i e d o u t b y s l o w l y h e a t i n g the zeolite s p r e a d out i n a l a y e r a b o u t 5 m m t h i c k to 5 0 0 ° C at 0.5 ° C p e r m i n u t e either i n a v a c u u m or i n a stream of p r e d r i e d air ( t o t a l a c t i v a t i o n t i m e = 18 h r ) . T h e S K - 5 0 0 w a s a l w a y s a c t i v a t e d i n a n a i r stream, whereas a l l other zeolites w e r e a c t i v a t e d i n a v a c u u m . T h e N H Y thus a c t i v a t e d is c o n v e r t e d to a n H Y f o r m . A f t e r a c t i v a t i o n , 4
4
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
196
M O L E C U L A R
SIEVE
ZEOLITES
II
the zeolite w a s saturated f r o m t h e v a p o r phase w i t h t h e h y d r o c a r b o n w h o s e d e s o r p t i v e d i f f u s i o n rate w a s to b e m e a s u r e d , s a t u r a t i o n c o n d i t i o n s b e i n g s u c h that essentially c o m p l e t e s a t u r a t i o n w a s a c h i e v e d . W i t h b e n z e n e a n d c u m e n e , the s a t u r a t i o n w a s c a r r i e d out at r o o m t e m p e r a t u r e , whereas w i t h 1 - m e t h y l a n d 2 - e t h y l n a p h t h a l e n e , the t e m p e r a t u r e w a s 46 ° C because of t h e i r l o w v a p o r pressure. E a c h d i f f u s i o n r u n w a s c a r r i e d out i n a n a p p a r a t u s c o n s i s t i n g of a s t i r r e d , 5 0 0 - m l M o r t o n flask i n a constant t e m p e r a t u r e b a t h ( ± 0 . 2 ° C ) . A t zero t i m e , the zeolite saturated w i t h the d e s i r e d h y d r o c a r b o n w a s p l a c e d i n the s t i r r e d flask w h i c h c o n t a i n e d a k n o w n q u a n t i t y of a s e c o n d , l i q u i d h y d r o c a r b o n . S a m p l e s of a b o u t 1 m l w e r e r e m o v e d f r o m the s t i r r e d flask at p r e d e t e r m i n e d t i m e intervals b y a h y p o d e r m i c needle a n d s y r i n g e , a n d the zeolite w a s i m m e d i a t e l y r e m o v e d f r o m the m i x t u r e b y f o r c i n g it t h r o u g h a M i l l i p o r e filtering u n i t . P r e c a u t i o n s w e r e t a k e n to ensure that the s a m p l e w i t h d r a w n w a s representative of the m i x t u r e i n the flask (14). T h e c o m p o s i t i o n of the h y d r o c a r b o n phase w a s d e t e r m i n e d b y gas chromatography. T h e d e s o r p t i v e d i f f u s i o n process w a s a s s u m e d to f o l l o w F i c k ' s s e c o n d l a w i n s p h e r i c a l geometry. pore
structure,
D i f f u s i o n c a n o c c u r i n 3 d i m e n s i o n s i n this
a n d electron
micrographs
w e r e n e a r l y s p h e r i c a l i n shape.
showed that
the
particles
T h e e x p e r i m e n t a l results w e r e fitted to
the s o l u t i o n of the d i f f u s i o n e q u a t i o n f o r the p r o p e r i n i t i a l a n d b o u n d a r y c o n d i t i o n s (4, 10, 12, 14, 20),
a n d p o i n t values of D
e f f
, the effective d i f f u
s i o n coefficient, w e r e d e t e r m i n e d for the i n i t i a l p o r t i o n of the d a t a a n d at 25, 60, a n d 7 5 % K a t z e r (14). 75%
of the a p p r o a c h to e q u i l i b r i u m . D e t a i l s are g i v e n b y
T h e ratio of the v a l u e at 2 5 %
of e q u i l i b r i u m to that at
gives a measure of the degree of d e p a r t u r e f r o m F i c k ' s l a w .
The
t y p e Y zeolite particles h a d a rather n a r r o w p a r t i c l e size d i s t r i b u t i o n , w i t h three-fourths of the particles f a l l i n g i n the r a n g e of p a r t i c l e d i a m e t e r of 0.65 to 1.25 m i c r o n s . T h e a r i t h m e t i c m e a n r a d i u s of 0.55 m i c r o n w a s u s e d for the characteristic
d i f f u s i o n l e n g t h i n the d i f f u s i o n e q u a t i o n .
T h e r e w a s n o d i s c e r n i b l e difference b e t w e e n the p a r t i c l e size d i s t r i b u t i o n of the N a Y a n d that of the S K - 5 0 0 . Results
and
Discussion
C o u n t e r d i f f u s i o n of c u m e n e a n d 1 - M N o c c u r r e d r e a d i l y i n t y p e Y zeolite, as s h o w n b y several studies.
T h e 1 - M N is selectively a d s o r b e d
r e l a t i v e to c u m e n e ; thus, w h e n the z e o l i t e w a s i n i t i a l l y saturated c u m e n e a n d p l a c e d i n 1 - M N , essentially 1 0 0 %
with
of the c u m e n e d i f f u s e d
o u t ; b u t w h e n t h e zeolite was saturated w i t h 1 - M N a n d p l a c e d i n c u m e n e , o n l y a b o u t 7 4 % of the 1 - M N d i f f u s e d out. T h e same e n d p o i n t w a s also r e a c h e d w h e n S K - 5 0 0 saturated w i t h c u m e n e w a s p l a c e d i n a m i x t u r e of 1 - M N a n d c u m e n e i n the p r o p e r r a t i o . T h i s selective a d s o r p t i o n e q u i l i b r i u m v a l u e w a s essentially i n d e p e n d e n t of t e m p e r a t u r e a n d , except f o r the c e r i u m f o r m of t y p e Y , w a s i n d e p e n d e n t of the n a t u r e of t h e c a t i o n
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
55.
SATTERFiELD
A N D KATZER
Figure
w i t h i n the structure.
1.
Counterdiffusion
of Hydrocarbons
Diffusion rates from SK-500 cumene
197
into
T h i s b e h a v i o r is i n d i r e c t contrast to t h e system
of b e n z e n e - c u m e n e i n H - m o r d e n i t e , i n w h i c h c o u n t e r d i f f u s i o n of b e n z e n e a n d c u m e n e does not r e a d i l y o c c u r i n the H - m o r d e n i t e pores
(14).
Diffusion Coefficients. F i g u r e 1 presents d i f f u s i o n rates f r o m S K - 5 0 0 of c u m e n e i n t o b e n z e n e a n d of 1 - M N a n d 2 - E N into c u m e n e . T h e curves s h o w the r e p r o d u c i b i l i t y of the d a t a a n d the effect of t e m p e r a t u r e
and
of the nature o f t h e c o u n t e r d i f f u s i n g species u p o n the d i f f u s i o n rate. T a b l e I s u m m a r i z e s c a l c u l a t e d effective d i f f u s i v i t i e s i n S K - 5 0 0 f r o m these a n d other runs. T h e rate of d i f f u s i o n of b e n z e n e or c u m e n e f r o m S K - 5 0 0 i n t o the o p p o s i t e h y d r o c a r b o n w a s too r a p i d to a l l o w a n accurate surement to b e m a d e , a n d the q u o t e d v a l u e of 1.4 Χ 10" approximation.
11
L a r g e r m o l e c u l e s s u c h as the s u b s t i t u t e d
mea
c m / s e c is a n 2
naphthalenes
diffuse o u t of t y p e Y m u c h m o r e s l o w l y . T h e rate of d i f f u s i o n of 1 - M N at 0 ° or 2 5 ° C ( i n t o c u m e n e ) is of the r i g h t o r d e r of m a g n i t u d e to a l l o w the effects of c a t i o n exchange to be d i s c e r n e d r e a d i l y . T h e e x p e r i m e n t a l results i n d i c a t e d , as d i d also mass transfer c a l c u l a t i o n s (14),
that mass
transfer rates f r o m the p a r t i c l e surface to the b u l k l i q u i d w e r e a n i n s i g n i f i c a n t resistance a n d therefore that d i f f u s i o n w i t h i n the t y p e Y zeolite particles themselves is the r a t e - c o n t r o l l i n g step.
Z e o l i t e crystals t e n d to
a g g l o m e r a t e i n m a n y l i q u i d s , b u t d i f f u s i o n a l resistance t h r o u g h the m a c r o pores b e t w e e n t h e crystals i n a n agglomerate w a s a p p a r e n t l y n e g l i g i b l e .
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
198
M O L E C U L A R
T a b l e I.
SIEVE
ZEOLITES
II
Desorptive Diffusion
Compound Desorbing
Saturated Zeolite Placed In
Temp.,
Cumene 1-MN 1-MN 1- M N 2- E N 2-EN
Benzene Cumene Cumene Cumene Cumene Cumene
8 25 8 0 8 0
°C
A t t h e s t i r r i n g rate of a b o u t 600 r p m , v i s u a l observations i n c l u d i n g the rate of s e t t l i n g after s t i r r i n g i n d i c a t e d t h a t the agglomerates w e r e less t h a n 0.1 m m i n size, a n d f o r this size essentially c o m p l e t e i n t e r c h a n g e t h r o u g h the m a c r o p o r e s w i l l o c c u r i n a t i m e m u c h less t h a n t h a t r e q u i r e d f o r t h e d i f f u s i o n effects o b s e r v e d here. F u r t h e r m o r e , there seemed to be n o a p p r e c i a b l e effect of t h e n a t u r e of the h y d r o c a r b o n o n degree
of
a g g l o m e r a t i o n , a l t h o u g h i t h a d a m a r k e d effect o n t h e d i f f u s i o n rates. F i g u r e 2 presents d i f f u s i o n rates f r o m N a Y of c u m e n e i n t o b e n z e n e or i n t o 1 - M N . T h e s e a n d other results w e r e u s e d to c a l c u l a t e the d i f f u s i o n coefficients r e p o r t e d i n T a b l e II.
Figure
2.
T a b l e s I a n d I I s h o w that the
Cumene diffusion rates NaY into benzene
from
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
55.
SATTERFIELD A N D
Coefficients f r o m D
M /Mœ -> 0 t
199
Hydrocarbons
Cm /Sec
l
Mt/Mœ 0.25
16.6 4.31 3.09 40.3 23.8
of
SK-500
X 10 \
EFF
Counterdiffusion
KATZER
16.6 4.06 2.96 40.3 23.8
2
=
M /M«> = 0.60
M /M = 0.75
t
16.5 3.07 1.72 40.3 22.8
t
~140 14.2 2.66 1.12 39.2 21.1
D .2S/D 0
{
1.17 1.52 2.64 1.03 1.13
d e s o r p t i v e d i f f u s i o n coefficients f o r c u m e n e d i f f u s i n g i n t o b e n z e n e v a r y b y o v e r 3 orders of m a g n i t u d e b e t w e e n t h e f o r m s of t y p e Y r e p r e s e n t e d b y N a Y a n d SK-500.
L i k e w i s e , for 1 - M N diffusing into cumene, the
coefficient varies b y n e a r l y 2 orders of m a g n i t u d e b e t w e e n N a Y a n d H Y . E x c e p t f o r situations i n w h i c h t h e d i f f u s i o n rate w a s v e r y r a p i d , t h e m a x i m u m d e v i a t i o n i n t h e d i f f u s i o n coefficients w a s a b o u t 1 0 % . T h e ratio D =
0
25/^0.75
is the r a t i o o f t h e effective d i f f u s i o n coefficient at Mt/M^
0.25 t o that at 0.75. R u d l o f f (20)
has s h o w n that f o r a p a r t i c l e size
d i s t r i b u t i o n h e s t u d i e d i n w h i c h 8 5 % of t h e p a r t i c l e s f e l l w i t h i n a r a n g e i n w h i c h t h e p a r t i c l e d i a m e t e r v a r i e d b y a f a c t o r of 2 — s l i g h t l y n a r r o w e r t h a n o u r d i s t r i b u t i o n f o r t y p e Y (14)—the
r a t i o o f t h e effective d i f f u s i o n
coefficient ( t h a t o b s e r v e d f o r t h e g r o u p o f p a r t i c l e s ) at Mt/M» to that at Mi/Moo =
=
0.25
0.75 is 1.20. T h e v a l u e o f t h e r a t i o f o r these 2
Mi/Mo, p o i n t s (D0.25/D0.75) f o r S K - 5 0 0 as f o u n d here is close t o this v a l u e (except f o r the low-temperature r u n ) , w h i c h indicates that our desorp t i v e d i f f u s i o n studies w i t h S K - 5 0 0 fit t h e F i c k ' s l a w d i f f u s i o n m o d e l f a i r l y well.
T h e same is true f o r those w i t h H Y a n d C e Y , b u t t h e d e v i a t i o n s
f r o m i d e a l i t y b e c o m e q u i t e l a r g e f o r those w i t h C a Y a n d N a Y ( see T a b l e II).
I t is a p p a r e n t that F i c k ' s l a w is f o l l o w e d m u c h m o r e c l o s e l y w h e n
faster d i f f u s i o n rates are b e i n g m e a s u r e d , w h e t h e r t h e faster rate is c a u s e d b y a higher temperature or b y the particular c o m b i n a t i o n of diffusant a n d f o r m o f z e o l i t e . P l a u s i b l y , w h e n t h e size of t h e d i f f u s i n g m o l e c u l e s is v e r y close to t h e size of t h e passageways, a v e r y slight degree o f i r r e g u l a r i t y o f s t r u c t u r e o r s l i g h t v a r i a t i o n i n t h e l o c a l degree of i n t e r a c t i o n b e t w e e n d i f f u s a n t m o l e c u l e a n d zeolite c a n h a v e a m a r k e d b l o c k i n g effect. F o r those situations i n w h i c h t h e d i f f u s i o n rate is q u i t e rapid—e.g., 2 - E N d e s o r p t i o n f r o m S K - 5 0 0 at 0 ° a n d 8 ° C a n d 1 - M N at 2 5 ° C — t h e v a l u e of Mt/Mao at t h e first d a t a p o i n t w a s q u i t e h i g h , r e s u l t i n g i n f o r c e d i n a c c u racies i n D0.25 a n d therefore i n D0.25/D0.75. E f f e c t o f C a t i o n i n Z e o l i t e . T h e d i f f u s i o n coefficients f o r 1 - M N i n t o c u m e n e f o r t h e i o n - e x c h a n g e d zeolites v a r y b y a b o u t 2 orders o f m a g nitude f r o m N a Y to H Y i n the following order:
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
200
M O L E C U L A R
N a Y < C a Y < SK-500 < CeY
0 t
0.126 1.25 4.73 0.489 2.95 0.360 1.84 10.7 20.0
X 10 \
Mt/M* 0.25 0.101 0.983 4.68 0.392 2.91 0.242 1.32 10.7 20.0
l
=
Cm /Sec 2
Mt/M0.60
=
0.0553 0.374 3.39 0.075 2.22 0.105 0.718 9.98 17.1
M /M oo 0.75 t
=
0.0406 0.289 2.31 0.016 1.80 0.079 0.608 8.13 10.6
DQ.
2δ/Α)·75
2.49 3.40 1.98 24.2 1.62 3.07 3.04 1.32 1.87
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
202
M O L E C U L A R
SIEVE
ZEOLITES
II
not a significant v a r i a b l e . D i f f u s i o n coefficients v a r i e d b y o n l y 2 0 % f o r 1 - M N diffusing f r o m SK-500 into cumene w h e n it was activated accord i n g to the 2 different p r o c e d u r e s a n d saturated at 1 0 0 ° rather t h a n 46 ° C . T h e cations i n t h e t y p e Y zeolite d o n o t affect g r e a t l y the effective p o r e d i a m e t e r as d e t e r m i n e d b y a d s o r p t i o n capacities ( 9 ) , b u t d i f f u s i o n rates are p r o b a b l y e x t r e m e l y sensitive to s l i g h t v a r i a t i o n s i n structure w h e n the d i f f u s i n g m o l e c u l e is n e a r l y t h e same size as t h e m i n i m u m p o r e aperture. Effect of N a t u r e of Diffusing Molecule. T h e d a t a i n T a b l e I also a l l o w c o m p a r i s o n to b e m a d e of t h e effect of t h e n a t u r e of the d i f f u s i n g m o l e c u l e o n t h e i n t r a c r y s t a l l i n e d i f f u s i o n coefficient.
Benzene
diffuses
f r o m S K - 5 0 0 i n t o c u m e n e as r a p i d l y as does c u m e n e i n t o benzene.
The
l a r g e variations i n t h e d i f f u s i o n coefficient f o r b e n z e n e , 2 - E N , a n d 1 - M N , e a c h i n t o c u m e n e , seem to b e c a u s e d b y the v a r i a t i o n i n the c r i t i c a l d i a m eter of the d e s o r b i n g m o l e c u l e .
T h e calculated value for benzene a n d
c u m e n e is 6.29 A , that of 2 - E N is 6.96 A , a n d that of 1 - M N is 7.70 A b a s e d o n b o n d lengths, b o n d angles, a n d i o n i c r a d i i .
(14)
O t h e r m e t h o d s of
c a l c u l a t i o n w i l l give s l i g h t l y different values, b u t the o r d e r r e m a i n s the same.
H o w e v e r , some factors other t h a n c r i t i c a l d i a m e t e r seem to b e
involved.
I n S K - 5 0 0 at 8 ° C , c u m e n e diffuses i n t o b e n z e n e m u c h m o r e
r a p i d l y t h a n does 1 - M N i n t o c u m e n e , y e t i n N a Y at 2 5 ° C
(or 8 ° C )
c u m e n e diffuses into b e n z e n e m o r e s l o w l y t h a n does 1 - M N i n t o c u m e n e at 2 5 ° C ( o r e v e n 0 ° C ) (see
T a b l e s I a n d I I ) . S m a l l amounts of i m p u r i
ties i n the 1 - M N m a y interact i n a different f a s h i o n w i t h different forms o f Y sieve to g i v e rise to v a r i o u s b l o c k i n g effects. Activation Energies. T a b l e I I I lists a c t i v a t i o n energies f r o m A r r h e n i u s plots of values of D =
e f f
c a l c u l a t e d f r o m t h e i n i t i a l rate o r at
M /M t
x
0.60. T h e c o n s i d e r a b l e d e v i a t i o n s f r o m F i c k ' s l a w that exist i n some
cases are reflected i n a c o n s i d e r a b l e v a r i a t i o n i n c a l c u l a t e d a c t i v a t i o n e n e r g y f o r different p o r t i o n s of the d e s o r p t i o n process, so o n e m u s t b e cautious i n i n t e r p r e t i n g t h e values o b t a i n e d . Substances s o r b e d i n zeolites e x h i b i t s o m e w h a t l i q u i d - l i k e p r o p e r t i e s , b u t i t is a p p a r e n t that t h e a c t i v a t i o n energies here are m u c h h i g h e r t h a n those f o r b u l k l i q u i d - p h a s e diffusion.
F u r t h e r , the highest a c t i v a t i o n energies are f o u n d w i t h t h e
systems h a v i n g t h e lowest d i f f u s i o n rates, w h i c h w o u l d b e e x p e c t e d w i t h a h i g h l y r e s t r i c t e d f o r m of d i f f u s i o n . T u a n g et al
(24)
have reported
t h e heat of a d s o r p t i o n of c u m e n e v a p o r o n N a Y to b e 19.3 k c a l / m o l e , w h i c h indicates a value of about a c t i v a t i o n energy
11 k c a l / m o l e f o r l i q u i d .
f o r d e s o r p t i v e d i f f u s i o n of c u m e n e
S i n c e the
is c o n s i d e r a b l y
greater t h a n the heat of a d s o r p t i o n , c o r r e c t e d to l i q u i d - p h a s e c o n d i t i o n s , this a g a i n suggests that t h e a c t i v a t i o n e n e r g y o b s e r v e d reflects p r i m a r i l y a d i f f u s i o n process rather t h a n one of d e s o r p t i o n .
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
55.
SATTERFiELD
A N D KATZER
Table III.
Counterdiffusion
of Hydrocarbons
Activation Energies Activation
Zeolite
Diffusing
SK-500 SK-500 NaY NaY
203
System
1 - M N i n t o cumene 2 - E N i n t o cumene C u m e n e i n t o benzene 1 - M N i n t o cumene
Other Comments. C h e n g ( I I )
Energy,
M\lMoo-Initial 11.3
Κcal/Mole
M /M*> t
1.5
db
=
0.60
15.0 ± 1.5 11.3 19.8 19.4
9.95 17.4 13.8
has r e c e n t l y s h o w n that the rate of
s o r p t i o n of p u r e , l i q u i d c u m e n e i n t o f r e s h l y a c t i v a t e d N a Y is extremely r a p i d e v e n at —15 ° C .
S o r p t i o n e q u i l i b r i u m w a s essentially a c h i e v e d b y
C h e n g i n less t h a n 30 seconds at —15 ° C , w h e r e a s i n this s t u d y m o r e t h a n 1 w e e k w a s r e q u i r e d f o r d e s o r p t i v e c o u n t e r d i f f u s i o n to r e a c h e q u i l i b r i u m ( c u m e n e d e s o r b i n g f r o m N a Y i n t o b e n z e n e at 8 ° C ) w h i c h is e q u i v a l e n t to a ratio of the d i f f u s i o n coefficient f o r s o r p t i o n to that f o r the d e s o r p t i v e c o u n t e r d i f f u s i o n of c u m e n e greater t h a n 2000. T h i s v a l u e is m u c h larger t h a n the r a t i o of the c a l c u l a t e d d i f f u s i o n coefficient f o r the a d s o r p t i o n of w a t e r to that f o r the s e l f - d i f f u s i o n of w a t e r i n c h a b a z i t e , r e p o r t e d b y Barrer and Fender (5)
to be 38, a n d it therefore appears t h a t t h e r e is
no r e l a t i o n b e t w e e n the rate of a d s o r p t i o n a n d that of c o u n t e r d i f f u s i o n . T h i s large r e d u c t i o n i n the rate f r o m p u r e s o r p t i o n to c o u n t e r d i f f u s i o n w a s also f o u n d f o r 1 - M N a n d appears to be the result of large tions b e t w e e n the c o u n t e r d i f f u s i n g molecules.
interac
T h i s h y p o t h e s i s is f u r t h e r
s u p p o r t e d b y t h e f a c t that the rate at w h i c h the p r e a d s o r b e d h y d r o c a r b o n desorbs is affected b y the n a t u r e of the species d i f f u s i n g i n t o the
pore
structure ( c o u n t e r d i f f u s i n g to i t ) . T h i s is c l e a r l y s h o w n b y t h e 2 n d a n d 4 t h entries i n T a b l e I I , i n w h i c h a l l c o n d i t i o n s w e r e t h e same except f o r the
hydrocarbon
placed.
i n t o w h i c h the
z e o l i t e saturated
with
cumene
T h e same effect o c c u r r e d w i t h c u m e n e d i f f u s i n g f r o m
T h i s b e h a v i o r is c o n t r a r y to K n u d s e n d i f f u s i o n , i n w h i c h e a c h
was
SK-500. flux
is
independent.
It is also different f r o m n o r m a l surface d i f f u s i o n , for w h i c h
W h a n g (25)
has s h o w n that the flux i n one d i r e c t i o n is i n d e p e n d e n t of
the flux i n the o p p o s i t e d i r e c t i o n f o r s i m p l e m o l e c u l e s surface d i f f u s i n g on 9 6 %
s i l i c a glass.
Conclusions T y p e Y zeolite has a m u c h m o r e o p e n p o r e structure t h a n most other zeolites, b u t c o u n t e r d i f f u s i o n t h r o u g h its p o r e structure of s m a l l a r o m a t i c hydrocarbons can still be quite slow a n d depends strongly u p o n the na ture of cations present.
C o u n t e r d i f f u s i o n i n the t y p e Y z e o l i t e
appears
to b e m o d e l e d best as d i f f u s i o n o v e r p e r i o d i c h i g h energy barriers w h i c h are the p o r e apertures j o i n i n g t h e supercages.
T h e a c t i v a t i o n energy is
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
204
MOLECULAR SIEVE ZEOLITES
II
t h a t r e q u i r e d f o r a m o l e c u l e to j u m p t h r o u g h the p o r e a p e r t u r e f r o m one supercage
to
another.
The
presence
of cations
n e a r these
pore
apertures increases the resistance t o d i f f u s i o n t h r o u g h t h e m , i n c r e a s i n g t h e h e i g h t of t h e e n e r g y b a r r i e r a n d r e s u l t i n g i n s l o w e r c o u n t e r d i f f u s i o n rates a n d h i g h e r a c t i v a t i o n energies.
T h e n a t u r e of the species d i f f u s i n g
i n one d i r e c t i o n g r e a t l y affects the flux of the species c o u n t e r d i f f u s i n g to it.
T h e i n i t i a l presence
of m o l e c u l e s w i t h i n the z e o l i t e p o r e
structure
i m p e d e s the d i f f u s i o n r a t e of a s e c o n d substance b y orders of m a g n i t u d e b e l o w those o b s e r v e d w h e n t h e p o r e s t r u c t u r e is i n i t i a l l y e m p t y . T h e r a m i f i c a t i o n s of these
findings
are m a n y .
Unlike Knudsen di-
f u s i o n , t h e rate of d i f f u s i o n i n one d i r e c t i o n is affected m a r k e d l y b y the opposite
flux.
A d s o r p t i o n or d e s o r p t i o n m e a s u r e m e n t s
cannot be
used
to a p p r o x i m a t e c o u n t e r d i f f u s i o n rates; these m u s t b e d e t e r m i n e d i n d e pendently.
T h e y are a f u n c t i o n of t h e n a t u r e of the z e o l i t e , t h e t y p e
o f c a t i o n w i t h i n t h e p o r e s t r u c t u r e , a n d the n a t u r e of the c o u n t e r d i f f u s i n g species. Acknowledgment The
authors
acknowledge
the
financial
support
of the N a t i o n a l
S c i e n c e F o u n d a t i o n u n d e r G r a n t G K - 1 7 0 7 a n d t h a t of the H e r t z F o u n d a t i o n to J R K . L i n d e D i v i s i o n of the U n i o n C a r b i d e C o r p . s u p p l i e d the z e o l i t e , a n d J . C h a r n e l l of M o b i l O i l C o r p . p e r f o r m e d the x - r a y d i f f r a c t i o n studies r e p o r t e d . Nomenclature d i f f u s i o n coefficient at M /M t
Deff 2-EN
x
= effective d i f f u s i o n coefficient, = 2-ethylnaphthalene
=
A
cm /sec 2
= g r a m - m o l e s of m a t e r i a l d i f f u s e d o u t of z e o l i t e at t i m e t
M
t
Moo = g r a m - m o l e s of m a t e r i a l d i f f u s e d o u t of z e o l i t e after i n f i n i t e t i m e 1-MN
= 1-methylnaphthalene
t
= t i m e , sec
Literature (1) (2) (3)
Cited
Aleksandrov, G. G., Larionov, O . G , Chmutov, Κ. V., Russ. J. Phys. Chem. 1967, 41, 805. Aleksandrov, G . G., Larionov, O . G., Chmutov, Κ. V., Yudilevich, M . D., Russ. J. Phys. Chem. 1967, 41, 807. Aleksandrov, G. G., Larionov, O . G., Chmutov, Κ. V., Russ. J. Phys. Chem. 1967, 41, 1107.
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
55. SATTERFIELD AND KATZER Counterdiffusiou of Hydrocarbons 205 (4) (5) (6) (7) (8) (9) (10) (11) (12) (13) (14) (15) (16) (17) (18) (19) (20) (21) (22) (23) (24) (25) (26) RECEIVED
Barrer, R. M . , ADVAN. CHEM. SER. 1971, 102, 1. Barrer, R. M . , Fender, B. E . F . , J. Phys. Chem. Solids 1961, 21 (112), 1. Barry, T. I., Lay, L . Α., J. Phys. Chem. Solids 1968, 29, 1395. Barry, T. I., Lay, L. Α., Nature 1965, 208, 312. Breck, D . W., J. Chem. Educ. 1964, 41, 678. Breck, D. W., Flanigen, Ε . M . , "Molecular Sieves," p. 47, Society of Chemical Industry, London, 1968. Carman, P. C., Haul, R. Α., Proc. Roy. Soc., Ser. A 1954, 222, 109. Cheng, C . S., M.I.T., Cambridge, Mass., personal communication, 1969. Crank, J., "The Mathematics of Diffusion," Oxford University Press, Lon don, 1956. Eulenberger, G. R., Shoemaker, G. P., Keil, J. G., J. Phys. Chem. 1967, 71, 1812. Katzer, J. R., Ph.D. Thesis, M.I.T., Cambridge, Mass., 1969. Olson, D. H . , J. Phys. Chem. 1968, 72, 4366. Olson, D. H . , Dempsey, E., J. Catalysis 1969, 13, 221. Olson, D . H . , Kokotailo, G. T., Charnell, J. F . , J. Colloid Interface Sci. 1968, 28, 305. Pickert, P. E . , Rabo, J. Α., Dempsey, E . , Shoemaker, V., Proc. Intern. Congr. Catalysis, 3rd, Amsterdam, 1964 1965, 1, 714. Roberts, P. V., York, R., Ind. Eng. Chem., Process Design Develop. 1967, 6, 516. Rudloff, W . K., Ph.D. Thesis, I.I.T., Chicago, Ill., 1965. Satterfield, C . N . , "Mass Transfer in Heterogeneous Catalysis," M.I.T. Press, Cambridge, Mass., 1970. Sherry, H . S., J. Colloid Interface Sci. 1968, 28, 288. Smith, J. V., Bennett, J. M . , Flanigen, Ε. M., Nature 1967, 215, 241. Tuang, Ho Chi, Romanovskii, Β. V., Topchieva, Κ. V., Piguzova, L . I., Kinetics Catalysis 1967, 8, 594. Whang, Η. Y., Sc.D. Thesis, M.I.T., Cambridge, Mass., 1961. Wise, J. J., Mobil Oil Corp., Paulsboro, N . J., personal communication, 1968.
February 13, 1970.
Discussion L . V . C . Rees ( I m p e r i a l C o l l e g e , L o n d o n ) : H a v e y o u s t u d i e d c o u n t e r d i f f u s i o n i n X w i t h exchange of N a b y C a ? +
2 +
If not, c a n y o u give a n
e x p l a n a t i o n f o r the r e d u c t i o n i n t h e effective w i n d o w size i n C a X c o m p a r e d w i t h t h a t of N a X ? J . R. Katzer: N o , w e h a v e n o t s t u d i e d c o u n t e r d i f f u s i o n i n t h e t y p e X zeolite, b u t I a m n o w i n the process of d o i n g so. T h e effect appears to b e p r o d u c e d b y t h e cations w i t h i n the p o r e structure a n d resting n e a r the p o r e apertures.
Olson (Olson, D . H . , /.
Phys. Chem.
1968, 72, 4366)
i n d i c a t e d t h a t s t r u c t u r a l variations o c c u r r e d i n the C a X f o r m w h i c h care f u l e x a m i n a t i o n shows c o u l d r e d u c e the p o r e aperture.
H o w e v e r , h e has
r e c e n t l y i n d i c a t e d ( O l s o n , D . H . , p e r s o n a l c o m m u n i c a t i o n , 1970)
that
the p o r e aperture remains essentially the same u p o n e x c h a n g e f r o m the
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
206
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ZEOLITES
II
s o d i u m to the c a l c i u m f o r m . T h e effect m u s t therefore be the result of the cations w i t h i n the structure b l o c k i n g the p o r e .
N o t e that there are
m o r e c a l c i u m cations i n the X t h a n i n the Y zeolite because of the l o w e r S i / A l ratio. N i v i k o v a et al. (Kolloidn.
Zh. 1967,
29, 573) have s h o w n that
d i f f u s i o n i n C a X is s l o w e r t h a n i n N a X . Ο. M . Fuller ( M c G i l l U n i v e r s i t y , M o n t r e a l , Q u e b e c , C a n a d a ) : W h a t w e r e the m e t h o d s y o u u s e d to d e t e r m i n e that the resistance to mass transport b e t w e e n the c r y s t a l a n d the fluid w a s n e g l i g i b l e ? J. R. Katzer: F i r s t v a r i a t i o n s i n s t i r r i n g s p e e d h a d no effect u p o n d e s o r p t i o n rate, b u t this w o u l d p r o b a b l y not h a v e a n effect f o r particles this s m a l l unless t h e y a g g l o m e r a t e d
seriously.
Observation
indicated
that t h e y d i d not d o so. T h e l a r g e s p a n of rates o b s e r v e d , the v e r y h i g h a c t i v a t i o n energies
(e.g., 1 0 - 2 0
k c a l / m o l e ) , a n d the fact that
system
changes s u c h as c h a n g i n g the zeolite c a t i o n f o r m or t h e h y d r o c a r b o n t y p e p r o d u c e d m a r k e d changes i n the d i f f u s i o n rate o b s e r v e d a l l i n d i c a t e d that m a s s - t r a n s f e r l i m i t a t i o n s b e t w e e n the p a r t i c l e surfaces a n d the b u l k l i q u i d w e r e not r a t e - l i m i t i n g .
Furthermore, mass-transfer
calculations
a s s u m i n g that the particles f o l l o w e d the streamlines of flow s h o w e d mass transfer
f r o m the p a r t i c l e surfaces
to the b u l k l i q u i d w a s n o t
rate-
l i m i t i n g , the c a l c u l a t e d rate of mass transfer b e i n g greater t h a n 1000 times the fastest rate o b s e r v e d . P. E . Eberly, Jr.
(Esso Research
Laboratories, Baton Rouge, L a .
70821 ) : I n e v a l u a t i n g d i f f u s i v i t i e s , one f r e q u e n t l y finds t h a t the p a r a m e ters D a n d M
interact.
x
of D.
T h u s , b y c h a n g i n g M » , one c a n affect the v a l u e
I n y o u r results c o m p a r i n g the v a r i o u s f o r m s of Y zeolite, c o u l d
changes i n M
œ
h a v e affected the d i f f u s i v i t y values?
J. R. Katzer: T h e a n s w e r is no. T h e a m o u n t of p r e a d s o r b e d h y d r o c a r b o n w h i c h d e s o r b e d f r o m the p r e s a t u r a t e d z e o l i t e at e q u i l i b r i u m , M » , w a s constant at a v a l u e of 73 ±
2%
of the i n i t i a l l y p r e a d s o r b e d h y d r o
c a r b o n i n a l l cases except f o r the c e r i u m f o r m , f o r w h i c h the v a l u e w a s 6 4 % of the i n i t i a l l y p r e a d s o r b e d m a t e r i a l . T h u s , the changes i n not large e n o u g h to p r o d u c e significant effects i n D the M
x
were
value. Furthermore,
eti
u s e d w a s the true e q u i l i b r i u m v a l u e as d e t e r m i n e d e x p e r i m e n t a l l y
i n a l l cases, a n d thus the v a l u e of D
ett
f o u n d s h o u l d b e the same as that
w h i c h s h o u l d also b e f o u n d i f the r u n c o n d i t i o n s w e r e c h a n g e d f o r a g i v e n zeolite s u c h that at e q u i l i b r i u m the v a l u e of M
x
was indeed changed
f r o m its p r e v i o u s v a l u e . R. M . Barrer ( I m p e r i a l C o l l e g e , L o n d o n ) : I n c o u n t e r d i f f u s i o n sys tems s u c h as y o u h a v e e x a m i n e d , the v o l u m e flow of C o m p o n e n t 1 i n t o the crystals is not necessarily e q u a l to the v o l u m e flow of t h e d i s p l a c e d C o m p o n e n t 2 i n t o the e x t e r n a l s o l u t i o n , because the degree of the crystals m a y change w i t h c o m p o s i t i o n of the s o r b e d
fluid.
filling
of
Thus, for
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
55.
SATTERFiELD
A N D KATZER
Counterdiffusion
of Hydrocarbons
207
p a r t i a l l y filled crystals, b o t h flows s h o u l d b e m e a s u r e d , a n d t w o d i f f u s i o n coefficients are i n v o l v e d . J. R. Katzer: W e w e r e c o n c e r n e d w i t h the q u e s t i o n of e q u a l v o l u m e rates of flow d u r i n g c o u n t e r d i f f u s i o n b u t d i d not attempt to measure
the
t w o flow rates; this w o u l d b e e x t r e m e l y d i f f i c u l t i n a f r e e l y a n d q u i t e r a p i d l y c o u n t e r d i f f u s i n g system as was t h e case here.
Note, however,
that the t o t a l v o l u m e flow i n e a c h d i r e c t i o n s h o u l d h a v e b e e n essentially the same unless t h e r e w e r e some strange p h e n o m e n a w h i c h o c c u r r e d at i n t e r m e d i a t e c o m p o s i t i o n because it w a s f o u n d that the v o l u m e of p u r e c o m p o u n d s o r b e d at s a t u r a t i o n b a s e d o n the l i q u i d d e n s i t y at s o r p t i o n t e m p e r a t u r e was essentially the same for a l l c o m p o n e n t s s t u d i e d here. R. B. Anderson ( M c M a s t e r U n i v e r s i t y , H a m i l t o n , O n t a r i o , C a n a d a ) : D o e s the d i f f u s i v i t y v a r y w i t h " d r i v i n g f o r c e ? "
F o r e x a m p l e , suppose a
sieve filled w i t h a n a r o m a t i c is p l a c e d i n a large a m o u n t of n o n a r o m a t i c hydrocarbon? J. R. Katzer: I d o not b e l i e v e that the d i f f u s i v i t y w o u l d v a r y w i t h " d r i v i n g f o r c e " to a n y l a r g e r extent t h a n the v a r i a t i o n w i t h Mt/M^ w e o b s e r v e d i n this w o r k a n d n o t e d i n the p a p e r .
which
T h i s c o u l d easily b e
c h e c k e d b y starting w i t h the zeolite p o r e structure e q u i l i b r a t e d w i t h a m i x t u r e of the t w o h y d r o c a r b o n s i n v o l v e d a n d t h e n m e a s u r i n g the a p p r o a c h to e q u i l i b r i u m f o r this system as w a s d o n e i n the a b o v e w o r k . It w o u l d not be possible to c h a n g e the h y d r o c a r b o n t y p e o n the outside a n d effect o n l y a c h a n g e i n the d r i v i n g force because, as w e h a v e c l e a r l y s h o w n i n this p a p e r , the rate of d i f f u s i o n o u t of the structure is h i g h l y d e p e n d e n t u p o n the nature of the h y d r o c a r b o n d i f f u s i n g i n t o the zeolite. P l a c i n g the saturated zeolite i n t o a n o n a r o m a t i c h y d r o c a r b o n changes the n a t u r e of the h y d r o c a r b o n d i f f u s i n g i n t o the structure i n a d d i t i o n to p o s s i b l y a l t e r i n g the d r i v i n g force. D . M . Ruthven a n d K . F. Loughlin ( U n i v e r s i t y of N e w B r u n s w i c k , F r e d e r i c t o n , Ν. B . , C a n a d a ) : W e w o u l d l i k e to r e - e m p h a s i z e the signifi cance of the effects of c r y s t a l size d i s t r i b u t i o n i n the analysis of s o r p t i o n curves.
T h e v a r i a t i o n s i n d i f f u s i v i t y w h i c h are r e p o r t e d i n this p a p e r
s h o w p r e c i s e l y the t r e n d w h i c h is to be expected i f the effect of c r y s t a l size d i s t r i b u t i o n is c o n s i d e r e d . W e feel sure that i f c r y s t a l size d i s t r i b u t i o n measurements are a v a i l a b l e , it s h o u l d b e possible t o o b t a i n the cor rect values of d i f f u s i v i t y u s i n g the t y p e of analysis w h i c h w e p r e s e n t e d i n o u r c o m m e n t o n t h e p a p e r of K o n d i s a n d D r a n o f f . J. R. Katzer: Y o u are correct i n y o u r statement; as w e i n d i c a t e d i n o u r p a p e r , the crystallite size d i s t r i b u t i o n is r e s p o n s i b l e f o r the m a j o r i t y of the v a r i a t i o n f o u n d f o r S K - 5 0 0 u n d e r most c o n d i t i o n s . H o w e v e r , y o u r a p p r o a c h w o u l d not e l i m i n a t e a l l of the v a r i a t i o n f o u n d i n the
systems
s t u d i e d here a n d is a s m a l l c o r r e c t i o n r e l a t i v e to the f a r m o r e significant v a r i a t i o n s f o u n d i n the systems s t u d i e d .
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.
208
M O L E C U L A R
SIEVE
ZEOLITES
II
J. D . Sherman ( U n i o n C a r b i d e C o r p . , T a r r y t o w n , Ν. Y . 1 0 5 9 1 ) : T h e heat of a d s o r p t i o n ( A i /
a d s
) of interest is f o r h i g h degrees of filling a n d is
for the difference b e t w e e n the AH's of different m o l e c u l e s at h i g h degrees of
filling.
I n t e r p r e t a t i o n c a n b e f a c i l i t a t e d b y c o m p a r i s o n of E i f f a n d d
Af/ads—i e., the a c t i v a t i o n energies f o r d i f f u s i o n a n d heats of a d s o r p t i o n for a series of p a i r s of c o u n t e r d i f f u s i n g species. J. R. Katzer: T h i s c o m m e n t is i n response to a c o m m e n t b y P a u l E b e r l y n o t i n g that the rates o b s e r v e d increase i n zeolites e x h i b i t i n g a h i g h e r heat of a d s o r p t i o n . H o w e v e r , K h u d i e r et al. (Bull. Acad. Set. Div.
Chem.
of C H 6
6
Set.
1968,
4, 694)
USSR,
f o u n d the d i f f e r e n t i a l heat of a d s o r p t i o n
o n H Y to be l o w e r t h a n that o n N a Y over the entire range.
In
response to the first p o i n t of t h e a b o v e c o m m e n t s , I d o t h i n k that heats of a d s o r p t i o n f o r l o w degrees of filling are p r o b a b l y also of i m p o r t a n c e here because a f e w m o l e c u l e s a d s o r b e d o n sites e x h i b i t i n g a h i g h heat a d s o r p t i o n ( s t r o n g a d s o r p t i o n ) c o u l d g r e a t l y affect t h e d i f f u s i o n
of
rate.
Y o u r s e c o n d c o m m e n t , h o w e v e r , is w e l l t a k e n . D . P. Roelofsen ( T e c h n o l o g i c a l U n i v e r s i t y , D e l f t , N e t h e r l a n d s ) : T h e sequence of the i n v e s t i g a t e d m o l e c u l a r sieves r e g a r d i n g i n c r e a s i n g d e s o r p t i o n velocities is r o u g h l y s i m i l a r to t h e e x p e c t e d sequence of d e c r e a s i n g a d s o r p t i o n affinities of the sieves f o r these large a r o m a t i c c o m p o u n d s . For
instance, N a Y , w i t h its exposed cations i n S
I H
sites, w o u l d b e ex
p e c t e d to a d s o r b n a p h t h a l e n e s stronger t h a n C a Y w i t h its s h i e l d e d cations i n S η positions. T h e r e f o r e , I w o u l d l i k e to suggest that the differences i n d e s o r p t i o n velocities m a y be p a r t l y e x p l a i n e d b y t h e differences i n affinities of the sieves f o r the d i f f u s i n g m o l e c u l e s . T h e s e differences c o u l d b e s t u d i e d , f o r instance, b y m e a s u r i n g the a d s o r p t i o n e q u i l i b r i a of a d i l u t e s o l u t i o n of a s u b s t i t u t e d n a p h t h a l e n e i n a saturated h y d r o c a r b o n solvent a n d the different sieves. J. R. Katzer: T h e r e s h o u l d b e n o cations i n the t y p e I I I sites y o u refer to i n the d e h y d r a t e d f o r m of either t h e N a Y or C a Y zeolite. Y o u r c o m m e n t s o n d i f f u s i o n rates b e i n g affected b y a d s o r p t i o n affinity is a v e r y v a l i d one, h o w e v e r , a n d B a r r e r has a l r e a d y n o t e d i n this conference that the stickiness of w a t e r is i m p o r t a n t to its d i f f u s i o n rate. I t h i n k that there is n o q u e s t i o n b u t w h a t s o r b a t e - z e o l i t e interactions of the n a t u r e y o u p o i n t o u t a n d others h a v e a v e r y large effect o n the d i f f u s i o n rate a n d s h o u l d be s t u d i e d i n m o r e d e t a i l .
Flanigen and Sand; Molecular Sieve Zeolites-II Advances in Chemistry; American Chemical Society: Washington, DC, 1971.