The Reaction Between Ozone and Hydrogen Sulfide - ACS Publications

Jul 23, 2009 - SOTIRIOS GLAVAS and SIDNEY TOBY. School of Chemistry, Rutgers University, New Brunswick, N. J. 08903. Removal of Trace Contaminants ...
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The Reaction Between Ozone and Hydrogen Sulfide: Kinetics and Effect of Added Gases SOTIRIOS GLAVAS and SIDNEY TOBY School of Chemistry, Rutgers University, New Brunswick, N. J. 08903

Abstract. The r e a c t i o n between O and H S was s t u d i e d from 20 t o 70°C over a pressure range of 0.005 - 0.1 torr O and 0.2 - 5 torr H S and the r a t e constant i s g i v e n by l o g (k/M / sec ) = 5.0 ± 0.5 - (5000 ±700)/2.30 RT. Up t o 1.7 t o r r o f added O was found t o have no e f f e c t on the r e a c t i o n . However, 95 torr of added CO reduced the observed r a t e constant slightly and 68 torr of C F reduced the observed r a t e constant by a f a c t o r of 2. The r e s u l t s are e x p l a i n e d in terms of a f r e e radical mechanism which accounts f o r the observed product ratios found by us (3) and f o r the observed r a t e l a w . The e f f e c t of added gases on the r e a c t i o n i s a l s o accounted f o r by the proposed mechanism. We use the data t o e x t r a p o l a t e an approximate v a l u e f o r the initial bimolecular r e a c t i o n between O and H S. I m p l i c a t i o n s f o r air pollution are considered. 3

2

3

2

-1 2

-1

2

2

2

3

6

2

Introduction. Because of their importance as pollutants in the lower atmosphere, many reactants of ozone and of hydrogen sulfide are of great interest. The kinetics of their reaction with each other has been l i t t l e studied and there has been no attempt to explain the observed rate law in terms of a mechanism.. Cadle and Ledford (l_) reported a rate law of -d[0 ]/dt = k [ O 3 ] ' , !.·£.· zero order in H S. Hales, Wilkes and York (2) followed the rate by measuring the rate of production of S0 and found d[S0 ]/dt = k [ 0 ] / [ H ^ ] ' . Both studies used flow systems with ozonized air or oxygen as a reactant and the stoichiometry was assumed to be 0 + H S -> S0 + H 0. A concerted molecular rearrangement is extremely unlikely and would not give rise to the observed rate laws. It is not clear whether the two reported rate laws are compatible with each other, and in any case no explanation has been given for the laws. 3

2

3

2

3

2

1

2

2

3

2

3

2

2

2

122

11.

GLAVAS

Ozone-Hydrogen

AND TOBY

Sulfide

Reaction

123

We h a v e r e c e n t l y (3) s t u d i e d t h e r e a c t i o n b e t w e e n O 3 a n d H 2 S u s i n g p u r e O 3 a s a r e a c t a n t . We f o u n d t h e m o s t a b u n d a n t p r o d u c t was o x y g e n a n d t h a t t h e ( O 2 f o r m e d ) / ( O 3 u s e d ) r a t i o a p p r o a c h e d 1.5 a s [ θ 3 ] Q i n c r e a s e d . In addition H 2 O / S O 2 was f o u n d t o v a r y c o n s i d e r a b l y f r o m u n i t y . The r a t e o f O 3 d i s a p p e a r a n c e was f o u n d t o obey a t h r e e - h a l v e s o r d e r r a t e l a w a n d t w o mechanisms were s u g g e s t e d w h i c h a c c o u n t e d f o r t h e o b s e r v e d k i n e t i c s and t h e observed product r a t i o s . I n t h i s p a p e r t h e mechanism w i l l be c o n s i d e r e d i n more d e t a i l a n d t h e e f f e c t s o f a d d e d i n e r t g a s e s w i l l be d i s c u s s e d . P r o d u c t measurements a n d mass b a l a n c e s h a v e b e e n g i v e n e l s e ­ w h e r e (3) a n d w i l l n o t b e r e p o r t e d h e r e . Experimental

Section.

A c o n v e n t i o n a l h i g h vacuum s y s t e m was u s e d w i t h t r a p s c o o l e d w i t h d r y i c e t o exclude mercury vapor from the quartz r e a c t i o n vessel. The c y l i n d r i c a l r e a c t i o n v e s s e l w h i c h was o f l e n g t h 21.9 cm a n d v o l u m e k60 c m , was c o n n e c t e d t o t h e r e a c t a n t i n l e t a n d r e s t o f t h e s y s t e m b y T e f l o n h i g h vacuum s t o p c o c k s . An i n l e t t u b e c o n s i s t i n g o f a " c o l d f i n g e r " o f a p p r o x i m a t e l y 5 cm volume was a t t a c h e d v i a a s t o p c o c k t o t h e r e a c t i o n c e l l . The d e s i r e d a mount o f H 2 S was f r o z e n i n t o t h i s i n l e t t u b e a n d a l l o w e d t o warm before r e a c t i n g . The r e a c t i o n v e s s e l was m o u n t e d h o r i z o n t a l l y i n a t h e r m o d a t t e d o v e n ( - . 8 ° ) w i t h q u a r t z windows a t e a c h end. The ozone c o n c e n t r a t i o n was m o n i t o r e d b y a b s o r p t i o n o f 2^k nm r a d i a t i o n o b ­ t a i n e d f r o m a n Osram l o w - p r e s s u r e m e r c u r y lamp a n d t w o i n t e r f e r ­ ence f i l t e r s . The d e c a d i c a b s o r p t i o n c o e f f i c i e n t o f o z o n e was t a k e n {h) a s 3010 M- cm- a n d c h e c k e d b y m e a s u r i n g t h e a b s o r b ance o f O 3 w h i c h was t h e n decomposed t o 0 a n d t h e p r e s s u r e meas­ u r e d on a McLeod gauge. B e e r p l o t s w e r e l i n e a r u p t o a b o u t 0 8 5 t o r r o f O 3 . O 3 p r e s s u r e s w e r e k e p t b e l o w 0.1 t o r r b e c a u s e t h e r e a c t i o n r a t e o t h e r w i s e became t o o f a s t t o m e a s u r e w i t h o u r s y s ­ tem. The t r a n s m i t t e d l i g h t beam was m e a s u r e d w i t h a 1P28 p h o t o m u l t i p l i e r c o n n e c t e d t o a K e i t h l e y 6l0A e l e c t r o m e t e r a n d a r e ­ corder. Ozone was g e n e r a t e d b y p a s s i n g o x y g e n ( M a t h e s o n U l t r a p u r e grade) through a discharge from a T e s l a c o i l . The 0 was c o n ­ d e n s e d a t - I 9 6 a n d t h e 0 pumped away. H y d r o g e n s u l f i d e , h e x a f l u o r o e t h a n e a n d c a r b o n d i o x i d e were e a c h d i s t i l l e d b e f o r e u s e , r e j e c t i n g h e a d a n d t a i l f r a c t i o n s . The i n i t i a l p r e s s u r e s o f r e a c t a n t s r a n g e d f r o m 0 . 0 0 5 - 0 . 1 t o r r f o r 0 a n d p.2-5 t o r r f o r H S. 3

3

1

1

2

#

3

0

2

3

2

Results. The r e a c t i o n was r a p i d w i t h a t y p i c a l h a l f - l i f e o f ~2 s e e s , under t h e c o n d i t i o n s t u d i e d . Assuming a r a t e l a w o f t h e f o r m - d [ 0 ] / d t = k [ 0 ] [ H S ] we s t u d i e d t h e k i n e t i c s i n t h e m

3

3

n

2

124

R E M O V A L OF

TRACE CONTAMINANTS F R O M THE

AIR

p r e s e n c e o f e x c e s s H S f o r a p p r o x i m a t e l y 95% o f t h e r e a c t i o n . L o g r a t e vs_ l o g [ O s l o p l o t s g a v e s l o p e s o f b e t w e e n 1.5 and 2 . We t h e r e f o r e u s e d t h e i n t e g r a t e d e q u a t i o n s and made p l o t s c o r r e s ­ p o n d i n g t o o r d e r s o f 1, 1.5, 2 and 2.5. The f i r s t and 2.5 o r d e r p l o t s were d i s t i n c t l y c u r v e d b u t t h e 1.5 a n d s e c o n d o r d e r p l o t s were b o t h s t r a i g h t w i t h s t a t i s t i c a l c o r r e l a t i o n f a c t o r s o f more t h a n 0.99 i n most c a s e s . However, t h e o v e r a l l l i n e a r i t y o f t h e 1.5 o r d e r p l o t s was s l i g h t l y b e t t e r t h a n t h a t o f t h e s e c o n d o r d e r plots. The 1.5 o r d e r r a t e c o n s t a n t s w e r e m e a s u r e d o v e r a 2 0 - f o l d r a n g e o f [ O ] a t 2 0 , 50 a n d T0°C and t h e r e s u l t s were p l o t t e d i n F i g u r e 1. The r a t e c o n s t a n t s show r e a s o n a b l y good i n d e p e n d e n c e of [ 0 ] . The e f f e c t o f i n i t i a l [ H S ] on t h e 1.5 o r d e r r a t e c o n s t a n t a t 20° i s shown i n F i g u r e 2 and a l t h o u g h t h e r e i s s c a t ­ t e r , t h e r e i s no d i s t i n c t t r e n d . On t h e o t h e r h a n d , p l o t s o f r a t e c o n s t a n t s o f o r d e r 0.5 o r h i g h e r i n H S a g a i n s t [ H S ] showed a c l e a r d e p e n d e n c e . We c o n c l u d e t h a t t h e r a t e l a w i s z e r o o r d e r i n H^S and i s g i v e n b y 2

3

3

0

Q

2

0

2

-d [ 0 ] / d t 3

= k [Ο3] · 1

2

(1)

5

R a t e c o n s t a n t s m e a s u r e d a t 2 0 , 50 and 70° w e r e p l o t t e d a s a n A r r h e n i u s p l o t w h i c h g a v e l o g ( k / M - / s e c - ) = 5.0 ± 0.5 -(5000 Î 700)/2.3RT. The e f f e c t o f a d d e d 0 2 , C 0 2 and C2F6 was s t u d i e d a t 25° w i t h i n i t i a l o z o n e p r e s s u r e k e p t a t c a 0,03 t o r r and i n i t i a l H S p r e s s u r e k e p t a t a p p r o x i m a t e l y 0.35 t o r r . These: r e s u l t s a r e g i v e n i n Table I . 1

2

1

2

TABLE I .

EFFECT OF ADDED GASES ON 1.5

I n i t i a l O3, μ moles

Initial H S, μ moles

ORDER RATE CONSTANT

2

Torr

k a t 25° M-l/2 s"

0.94 0.65 0.60 0.51 0.74 0.68 0.60 0.75 0.66 0.64 0.82 0.79 0.65

7.66 8.64 8.68 8.70 8.62 7.96 8.60 8.58 8.60 8.53 8.67 8.52 8.10

0.12 0.14 0.65 1.14 2.00 2.04 10.6 28.1 41.5 49.8 69.0 87.0 95.4

40.4 59.0 59.9 45.2 45.5 62.5 63.3 55.9 52.0 49.9 43 . 2 43.0 41.6

0.65 0.68 0.51 0.74

9.00 7.86 8.15 8.69

!02 0.35 0.90 1.30 1.68

46.6 41.4 41.4 51.3

11.

GLAVAS

Ozone-Hydrogen

AND TOBY

Sulfide

Reaction

125

TABLE I ( c o n t ' d . ! Initial

Initial H S,

\

μ moles

Torr

8.70 8.65 8.70 8.63 8.63 8.65 Q.6k

5.TO 11.38 15.80 21.70 31.0

2

μ moles 0.89 0.82 0.66 0.66 0.76 0.70 0.66

F

6 M~l/

s e c -1

2

hh.h

55.3 31.6 30.9 30.8 2k.Q 23.5

h9.9

68.6

DISCUSSION I n o r d e r t o e x p l a i n t h e v a r i o u s p r o d u c t r a t i o s f o u n d (3_)_ a n d a c c o u n t f o r t h e o b s e r v e d r a t e l a w , we p o s t u l a t e t w o p o s s i b l e mechanisms d i f f e r i n g i n t h e i n i t i a t i n g s t e p s . Mechanism A H S

+

HSO

+

HO

+

202

H 0 2

+

HS

1* ->

HSO

+

H S

OS

i

EO2

+

03

2

HO

+

H S

3 ->

HS

+

°3

2

2

2HS

+

M

5

HSO

+

°3

6 6a -> 7 ->

+

03

SO

+

°3

2

+

°2 M

HS

+

20

HO

+

SO

so

+

2

HSO

H0

2

2

2

°2

T a k i n g s t e a d y s t a t e s i n [ H O ] , [ H 0 ] , [ H S ] , [SO] a n d [HSO] a n d putting M = H S leads t o £

2

-a[o ]/at = (3+Κ)^[Η 8][Ο ] + ( 2 + κ ) ^ / 3

1

2

2

-d[H S]/dt = (2+K)k [H S][0 ] +

κ k^/

•d[H 0]/dt = (1+Κ)^[Η 3][0 ] +

Κ kj /

2

1

3

2

2

2

d[S0 ]/dt= 2

2

6

a

).

1

2

1

[Sp2]

Κ + kf / w

2

1

5

1

/

5

2

3

3

2

2

3

3

1

/

2

2

2

3

ki k ~' ^ p ] / t

Κ [0 ]!/ 3

2

Κ [o ]^ 3

2

5

3

2

[Η^Γ [H S] 2

1

- 1

2

(3) (It)

3

L

(2)

2

3

[ 0 ] /

a n d (5) g i v e

1 + Κ + k f / V^- / 1

^ "

K kj /

3

E q s . (h)

[H 0] 2

2

l t

2

k - / [0 ] /

k

1

Κ ^[Η ε][0 ] +

w h e r e Κ = k6a/(kg + k

l t

2

1

3

k- / [o ] / 1

k

3

2

(5)

126

R E M O V A L OF

Eqs.

(3)

a n d (5)

TRACE CONTAMINANTS F R O M T H E

give

[H S used]

2 + Κ + k^ /

[H 0 formed]

1 + Κ + ki" /

1

2

1

2

AIR

2

1

k^" / 2

1

2

ki+ks" /

2

Κ [O3] /

2

Κ [O3] /

2

1

1

[H S]^"

1

2

l

[R S]~ 2

These p r o d u c t r a t i o s h a v e b e e n f o u n d t o be i n q u a l i t a t i v e agreement w i t h experiment (3,). S t e p s 1 a n d 2 i n t h e mechanism c a n be r e p l a c e d by a s e q u e n c e i n v o l v i n g HSO2 r a t h e r t h a n HO2. I n a d d i t o n , HSO2 may a l s o be f o r m e d b y t h e r e a c t i o n b e t w e e n HSO a n d O3. We p o s t u l a t e , a s a n alternative possibility: Mechanism Β HS HS0 HSO 2

2

0 0 0

+ + +

l a

3 8 3

6 b

3

> HS0 > HSO ^ HS0

2

2

+ + +

HO 20 0

2

2

t o g e t h e r w i t h s t e p s 3 , h 5 6, 6a a n d 7 o f M e c h a n i s m A. M e c h a n i s m Β g i v e s i d e n t i c a l r a t e l a w s f o r e q s . ( 3 ) , (h) a n d (5) w i t h k]_ r e p l a c e d b y k . I n t h e c a s e o f e q . (2) t h e r a t e l a w i s f o r m a l l y u n c h a n g e d b u t Κ i s now r e d e f i n e d a s Kj_ = ( k + 2k^) / (k + 6a)· cLata do n o t d i s t i n g u i s h b e t w e e n Mechanisms A and B. At t h e h i g h e r v a l u e s of i n i t i a l 0 used a c a t a l y t i c d e s t r u c ­ t i o n o f O3 o c c u r r e d . T h i s r e q u i r e s a c h a i n component o f t h e mechanism. A l i k e l y p o s s i b i l i t y i s s t e p 2 a l o n g w i t h HO + 0 -+ H0 + 0 . Evidence f o r the chain decomposition o f 0 resulting f r o m s t e p s 2 and 9 has r e c e n t l y b e e n o b t a i n e d by DeMore and T s c h u i k o w - R o u x ( 5 ) . However, o t h e r c h a i n s e q u e n c e s a r e p o s s i b l e , s u c h a s s t e p s 6b a n d 8. We d i d n o t d e t e c t H S i n o u r GC a n a l y s e s (3) b u t G u n n i n g et_ a l (6) h a v e r e p o r t e d t h a t t h i s s u b s t a n c e r e a d i l y decomposes: H S •> H S + S. T h i s w o u l d a c c o u n t f o r t h e s u l f u r we f o u n d d e p o s i t e d and t h e s l i g h t l y l o w mass b a l a n c e f o r S. A c c o r d i n g t o Rommel a n d S c h i f f (7) a t v e r y l o w p r e s s u r e s t h e l i k e l y f a t e f o r HS r a d i c a l s i s 2HS -> H S + S. However, i n t h e h i g h e r p r e s s u r e s o f o u r s y s ­ tem s t e p 5 i s t h e most l i k e l y r e a c t i o n . As T a b l e I shows, a d d e d O2 up t o a 6 0 - f o l d e x c e s s r e l a t i v e t o O 3 , h a d no e f f e c t on t h e r a t e . T h i s c o n t r a s t s w i t h what has b e e n f o u n d f o r t h e r e a c t i o n b e t w e e n O3 a n d a l k e n e s , where t h e r a d i c a l i n t e r m e d i a t e s a r e e a s i l y s c a v e n g e d by O2 l e a v i n g t h e r e ­ s i d u a l i n i t i a t i n g step (Q). I n t h e p r e s e n c e o f s u f f i c i e n t a d d e d d e a c t i v a t i n g gas M, e q . (2) becomes 9

9

l a

6 a

0 u r

k

6

3

g

3

2

2

3

2

2

2

2

2

2

3

2

1

2

1

-d[0 ]/dt=k .[H S][Qi]+k [0 ] / tH S] / /(iH2S]+B[M]) / 3

l b

2

1 1

3

2

2

(6)

11.

GLAVAS

Ozone-Hydrogen

A N D TOBY

Sulfide

127

Reaction 200

ο ο

ο

100 Ι­

70° Ο

οο

100

c ο

50

ο

50° 0 50

ο - ο °

°°

25 1/2

3

2

I

0

οο

Ο

-ο

Ο

Ο

ο

25

ι

ι

I

40 60 Ν I ΤΙ ALH S,/