REDUCTION OF SILVER AMINE COMPLEXES BY CARBON MONOXIDE by SHUZO NAKAMURA Bo Sc. i n Engineering, Kyoto University, 1960 A THESIS SUBMITTED IN PARTIAL FULFILMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE i n the Department of CHEMISTRY We accept t h i s thesis as conforming to the required standard THE UNIVERSITY OF BRITISH COLUMBIA August, 1962 In presenting this thesis in partial fulfilment of the requirements for an advanced degree at the University of British Columbia, I agree that the Library shall make i t freely available for reference and study. I further agree that permission for extensive copying of this thesis for scholarly purposes may be granted by the Head of my Department or by his representatives. It is understood that copying or publication of this thesis for financial gain shall not be allowed without my written permission. Department The University of British Colombia, Vancouver 8, Canada. ii ABSTRACT The k i n e t i c s of the reduction of s i l v e r amine complexes i n aqueous solution by carbon monoxide were investigated. For a number of amines including e t h y l - , methyl-, d i e t h y l ethanol-, diethanolamine and some primary diamines, the rate law was found to be of the form; d(Ag(I)) " dt [AgL 3[CO] + d(CO) ~ ~~dt~ = 2 = 2 k e x P [LH+j - 2k (L-Ag-OH ]tCOj where L denotes the amine. (1) These k i n e t i c s were interpreted i n terms of the following mechanism. AgL + 2 + H 0 ^ r = ± : L-Ag-OH + LH+ (Rapid) 2 (2) k L-Ag-OH + CO L-Ag-COOH (Rate-determining) L-Ag-COOH + Ag(I) >• Products (Rapid) (3) (4) The rate constant of the rate-determining step (3) was found to be nearly independent of the nature of the amine molecule, L, coordinated to s i l v e r ion, using the b a s i c i t y constants of the amines and d i s s o c i a t i o n constants of the corresponding s i l v e r amine complexes. The actual o v e r a l l rate of the reaction varied with the nature of amine but t h i s was a t t r i b u t a b l e only to the d i f f e r e n t equilibrium concentrations of L-Ag-OH. The rate of t h i s rate-determining bimolecular process was found to be s u r p r i s i n g l y fast; k__o = 5x10 mole 1. sec. , iii AH ^ 9 K c a l . mole" s i l v e r i o n by CO and AS — -15 e,u. The r e d u c t i o n o f i n a c i d i c o r n e u t r a l media i s known to be slow and t h i s can now very be a t t r i b u t e d to the base c a t a l y z e d nature o f the r e a c t i o n . S i l v e r complexes o f primary diamines (ethylenediamine, 1,3-diaminopropane, e t c . ) were reduced more s l o w l y ; t h i s was a t t r i b u t e d to the s t a b i l i z a t i o n o f mono-complexed s i l v e r (I) s p e c i e s by c h e l a t e f o r m a t i o n . I n the case o f ammonia normal k i n e t i c s were observed at h i g h e r pH but a t Lower pH the r a t e became second o r d e r i n (Ag(I))and i n v e r s e l y second o r d e r i n (NH^ ). T h i s was + buted to c o m p e t i t i o n between decomposition o f the i n t e r m e d i a t e complex and i t s f u r t h e r r e a c t i o n w i t h another Ag(I) to g i v e m e t a l l i c s i l v e r and carbon d i o x i d e . s i m i l a r competition was found w i t h two t r i e t h y l a m i n e and t r i e t h a n o l a m i n e . attri- species Evidence f o r t e r t i a r y amines, i . e . , ACKNOWLEDGEMENTS The author wishes t o express h i s s i n c e r e g r a t i t u t e f o r the c o n t i n u i n g a d v i c e , h e l p and encouragement g i v e n by Dr. J . Halpern, who suggested and d i r e c t e d t h i s study, and t o Dr. E. P e t e r s and Mr. R. T. McAndrew o f t h e Department o f M i n i n g and M e t a l l u r g y f o r i n f o r m a t i o n about t h e i r r e l a t e d work. He i s a l s o g r a t e f u l t o Dr. C. A. McDowell, Head o f t h e Department o f Chemistry, who enabled him t o work i n t h i s Department. Support o f t h i s work by the A l f r e d P. S l o a n Foundation and the N a t i o n a l Research C o u n c i l o f Canada i s a l s o acknowledged. gratefully V TABLE OF CONTENTS Page I. II. INTRODUCTION 1 EXPERIMENTAL. . 6 MATERIAL. 6 ANALYSIS 7 PROCEDURE K i n e t i c Measurements Stoichiometry Measurements III. RESULTS AND DISCUSSIONS .7 7 11 13 STOICHIOMETRY 13 KINETICS AND MECHANISM. 18 Ethylamine Complex. 19 Other "Standard" Systems 25 Triethylamine Complex 33 Triethanolamine Complex 40 Ammonia Complex . . . . . . . . 47 Diamine Complexes 56 GENERAL DISCUSSION REFERENCES APPENDIX I . 64 71 Selected Thermodynamic Properties of Amines and S i l v e r Amine Complexes 72 vi LIST OF TABLES Table No. Page lo Results of Stoichiometry Measurements (I) 2. Results of Stoichiometry Measurements (II) . 1 4 3o Results of Stoichiometry Measurements (III) . 1 8 4. Rate of Reaction of Ethylamine and Related Amine Complexes of S i l v e r 5. 1 3 . . . . . 2 2 Summary of K i n e t i c and Related Thermodynamic Data f o r "Standard" Systems at 25°C. . 6. . . . . . . 3 0 Apparent Enthalpy and Entropy of A c t i v a t i o n f o r "Standard" Systems 3 2 7. Rate of Reaction of Triethylamine Complex at 8. Rate of Reaction of Triethanolamine Complex . . . . . . 4 1 9. Rate of Reaction of Ammonia Complex . . . . . . . . . . 4 8 10. Rate of Reaction of Diamine Complexes . . . . . . . . . 57 11. Rates of Diamine Complexes and Their S t a b i l i t y 12. Summary of Kinetic and Related Thermodynamic Data . . . 65 25°C. . . 3 4 vii LIST OF FIGURES Figure No. I. II. Page Gas bubbling glass apparatus. 8 T y p i c a l t i t r a t i o n curves f o r f i n a l reaction solutions . . . . . III. IV. 16 Typical rate p l o t s f o r ethylamine complex Dependence of rate on carbon monoxide concentration at 25°C. f o r ethylamine complex V. 20 21 Dependence of rate on ammonium ion concentration at 25 C. f o r ethylamine complex 24 VI. Typical rate plots f o r ethylamine-type complexes. . . 26 VII. Arrhenius p l o t s f o r ethylamine-type complexes . . . . 31 VIII. T y p i c a l rate p l o t s f o r triethylamine complex. . . . . 35 IX. Dependence of rate on free amine concentration at 25°C. f o r triethylamine complex . X. XI. . 38 T y p i c a l rate plots f o r triethanolamine Arrhenius plots f o r triethanolamine complex. . . . 42 and ethylene- diamine complexes XII. X I I I . 46 T y p i c a l rate plots f o r ammonia complex. Dependence of rate on ammonium ion concentration at 30°C, f o r ammonia complex XIV. XV. XVI. 50 51 Arrhenius plot f o r ammonia system 54 Typical rate plots f o r diamine complexes 58 Dependence of the rate on free amine at 25°C. f o r 1,3-diaminopropane concentration 60 I. INTRODUCTION Recently, molecular hydrogen s although unreactive toward the majority of common inorganic o x i d i z i n g agents, was found to be oxidized under r e l a t i v e l y mild conditions i n aqueous 2+ solution by a few metal ions and complexes, notably Cu Ag , Hg2 , Hg^s, + and MnQ^~„ + s Halpern and h i s coworkers (1) have studied these systems extensively and have elucidated the mechanism through which the r e l a t i v e l y strong H-H -1 having a d i s s o c i a t i o n energy of 103 Kcal. mole bond, , i s activated, and the dependence of the r e a c t i v i t y on the electron configurat i o n of the central metal ions. These studies have prompted s i m i l a r studies on other i n e r t reducing agents. The mechanism of these reactions and the nature of metal ions and complexes which a c t i v a t e those inert molecules are of great i n t e r e s t for the study of chemical r e a c t i v i t y , i n general, and e s p e c i a l l y of the c a t a l y t i c a c t i v i t y of t r a n s i t i o n metals and t h e i r compounds. Amongst other r e l a t i v e l y inert reducing agents whose reactions have been investigated i n t h i s laboratory are carbon monoxide and formic a c i d . - MnO^ s 94- Hg , Hgj 2+ The reactions of the l a t t e r with %4- and T l were studied by Taylor and Halpern (2) and t h e i r k i n e t i c s and mechanisms were elucidated. Harkness and Halpern (3) examined the reaction of CO with those metal ions which are active toward molecular hydrogen and found that 2 only Hg and MnO^ showed measurable r e a c t i v i t y toward CO i n homogeneous aqueous solution under moderate condition. found F e ^ + Tl"**" and Cr^O^ also to be i n a c t i v e . - 9 At They elevated temperature and pressure Bauch et a l . (4) observed that s i l v e r sulfate and cupric s u l f a t e i n aqueous solution also were reduced by CO.. reaction was They reported that the rate of the former second order i n Ag(I) and was the solution with ammonium acetate. enhanced by buffering However, they did not study the dependence of the rate on pH. Following t h i s work, and a f t e r commencement of the present study, Peters and McAndrew (5) studied the reaction of s i l v e r acetate i n aqueous solution with CO i n further d e t a i l under experimental conditions s i m i l a r to those of Bauch et a l . (4). These r e l a t e d studies are summarized below. 2+ Hg (3)...This i s the only metal ion which was found to oxidize CO i n aqueous solution under r e l a t i v e l y mild condi- tions (atmospheric pressure and below 8 0 C ) i n the absence 24of complexing agents. For the reduction of Hg , i.e., 2 H g + CO + H 0 HgJ + C0 + 2H+ (1-D o 2+ + 2 2 k i n e t i c measurements i n d i l u t e HC10. solutution over the temperature range 26 to 54 C. yielded the pH-independent rate law (1-2) with AH * = 14.6 Kcal. mole -1 and AS "k = -13 e.u. This was interpreted i n terms of the following mechanism. 4- 0 -Hg z+ 0H + CO *- -Hg-C-OH 2 -Hg-C-OH + H > Hg + C0 + H 2 Hg + H g Hg 2 + 2 + (slow) (1-3) (fast) (1-4) (fast) (1-5) Support for the proposed intermediate complex i s provided by the P, i s o l a t i o n of a stable analogue, AcO-Hg-C-OCH^, formed by reaction of CO with mercuric acetate i n methanol solution (6). Mn0 ~ (3)...The reduction of MnO^" by CO (to Mn0 i n 4 2 a c i d i c and neutral solutions and to MnO^ i n basic solutions) was found to proceed r e a d i l y over the temperature range 28 to 50°C. The complete rate law was found to be " ^dT with AH = k CC0J[Mn0 ") 4 = 13 Kcal. mole" and AS 1 (1-6) = -17 e.u., both s u b s t a n t i a l l y constant over the pH range L to 13, which confirmed and extended the e a r l i e r k i n e t i c measurements on t h i s system by Just and Kauko (7). Harkness and Halpern (3) also found that t h i s system shows a remarkable c a t a l y t i c e f f e c t on the addition of A g and + Hg 2 + (but not C u , Fe *, C d , or T l 2 + 3 2 + 3 + ) which they a t t r i b u t e d to favorable reaction paths involving intermediate such as Ag-CO-OMnOg Hg 2 + with CO. analogous to that postulated i n the reaction of 4 Ag SO^ and CuSO^ 2 (4)...Bauch et a l . studied the aqueous Ag SO^ system over the temperature range 70 to 110°C. under 2 CO pressure up to 50 atmosphere and found the reaction Ag + + %C0 + %H 0 > Ag + %C0 2 + H 2 (1-7) + proceeded according to the rate law given by (1-8). " ^df^ = ^SxlO Ug ) + 6 2 P c o e- 1 4 » 0 0 °/ R T (1-8) They also observed that the rate was increased by buffering the solution with ammonium acetate, the k i n e t i c s f o r the buffered s i l v e r sulfate system being given by (1-9). - = 6.02x10* Ug ) + 2 P e- ' 9 C Q 3 0 0 / R T (1-9) They attributed this difference i n rate to the favorable dependence of the equilibrium on increasing pH, and proposed the same mechanism for both buffered and unbuffered system, i . e . , Ag + + CO 5 = = ^ Ag(C0) Ag(C0) + A g + Ag (C0) 4 + 2 + H0 2 + + (rapid e q u i l i b r i a ) (1-10) ~ = r Ag (C0)" " H 2 >2Ag + C0 2 + 2H + (rate determining) (1-11) In support of t h i s mechanism, they c i t e d the existence of carbonyl complex of the " f i r s t subgroup" such as (Cu(Cl,Br)C0)^, Ag (C0)S0^ and (AuCl'CO)^. 2 I t i s obvious from t h e i r r e s u l t s that there must be some pH-dependent process contributing to the o v e r a l l rate but t h i s was not elucidated. For the reduction of CuSO^ by CO they also observed second order dependence of the rate on [Cu ), the rate over the temperature range 160 to 190 C. being given by 3 d ICu dt 2.56X10 13 (Cu^) 2 * e " 3 3 ' 5 0 °/ (1-12) R T In t h i s system the e f f e c t of b u f f e r i n g was not reported because of experimental difficulties. Recently, Peters and McAndrew (5) have extended t h i s work on the reduction of s i l v e r s a l t s i n a c i d i c solution. Both i n acetate-buffered and perchlorate media the rate was found to be very slow, requiring the use of elevated temperature (>90°C.) and CO pressure (10 to 30 atm.). The r e s u l t s of t h i s work w i l l be considered l a t e r . The present study i s concerned with the reduction of s i l v e r amine complexes by CO i n basic media. In contrast to the behaviour i n a c i d solutions the reaction under these conditions i s rapid and r e a d i l y measureable at room temperature and atmospheric pressure. 6 II. EXPERIMENTAL MATERIALS S i l v e r perchlorate was G. F. Smith Reagent grade and was unaffected by r e c r y s t a l l i z a t i o n . and Adamson 60% Reagent grade. Perchloric a c i d was Baker Ethylenediamine, Fisher c e r t i - f i e d reagent, was used without further p u r i f i c a t i o n . Distilla- t i o n of t h i s product had no e f f e c t on the reaction rate. Matheson triethylamine, which contained a reducing impurity, was p u r i f i e d by passing through a molecular sieve column and then d i s t i l l e d under 120 mm. Hg nitrogen atmosphere. Matheson 33% aqueous solution of ethylamine, and diethylamine (b.p. 55-56°C); B.D.H. 25/30% methylamine aqueous solution, pureethanolamine, diethanolamine and triethanolamine, and K & K Laboratories' 1,3-diaminopropane were used without further purification. K & K Laboratories' 1,4-diaminobutane was t i l l e d at 20 mm. Hg before use. redis- Ordinary d i s t i l l e d water was used i n the preparation of a l l solutions and gave rates i d e n t i c a l with those obtained with water d i s t i l l e d from a l k a l i n e permanganate. Nitrogen gas was supplied by the Canadian L i q u i d A i r Co. Carbon monoxide ( C P . grade) and CO-^ from Matheson of Canada L t d . gas mixtures were obtained The chromatographic analysis of a l l these gases revealed substantially no contamination by oxygen. In a l l experiments the amine perchlorate was prepared 7 by n e u t r a l i z i n g the amine w i t h p e r c h l o r i c a c i d . The e x p e r i m e n t a l s o l u t i o n s were prepared by d i l u t i n g a l i q u o t s o f s t a n d a r d i z e d stock solutions. ANALYSIS The n o r m a l i t y o f amines and aqueous amine s o l u t i o n s was determined by t i t r a t i o n w i t h standard h y d r o c h l o r i c a c i d . S i l v e r i o n c o n c e n t r a t i o n was determined by t h i o c y a n a t e t i t r a t i o n in acidic solution with f e r r i c indicator. Carbon monoxide and n i t r o g e n gas mixtures were a n a l y z e d w i t h a Beckman GC-2 gas chromatograph u s i n g a m o l e c u l a r s i e v e column. PROCEDURES K i n e t i c measurements Except f o r the ammonia system, r a t e s o f a l l the r e a c t i o n s were determined a t atmospheric p r e s s u r e , by b u b b l i n g the CO gas ( o r a CO-N^ mixture) through the s o l u t i o n i n the g l a s s apparatus d e p i c t e d i n F i g u r e I . The gas was passed through a p r e s a t u r a t o r f i l l e d w i t h aqueous s o l u t i o n o f NaNOg and the amine t o e s t a b l i s h the same p a r t i a l p r e s s u r e o f water and the amine as the r e a c t i o n s o l u t i o n , and was then d i s p e r s e d through a s i n t e r e d g l a s s p l a t e i n t o the r e a c t i o n solution. The e f f l u e n t gas was l e d t o a gas flame and was burned. whole apparatus was immersed i n a c o n s t a n t temperature thermostated t o ~ 0.03°C. The bath I t was e s t a b l i s h e d t h a t the f l o w r a t e o f the gas d i d n o t a f f e c t the observed r e a c t i o n r a t e ; hence i t may be assumed t h a t the s o l u t i o n s were s a t u r a t e d w i t h the gas. Fig. I. Gas Bubbling Glass Apparatus A. Gas I n l e t B. Presaturater C. Sintered Glass P l a t e D. Reaction E. Gas Outlet F. Gas O u t l e t Stopper G. Sampling Tube H. Sample Outlet Solution Mixture CO 9 A f t e r placing 250-500 ml. of the reaction mixture of the desired composition i n the apparatus, the system was allowed to a t t a i n thermal equilibrium under nitrogen flow. The s t a b i l i t y of the reaction mixture was checked by sampling and analyzing the solution several times under the nitrogen flow and then the gas flow was switched to CO or to a CO-^ mixture. The solution was sampled p e r i o d i c a l l y and the samples were analyzed as described previously. The time required f o r saturation of the solution with the gas was usually n e g l i g i b l e ; less than 30-60 sec. For reaction solutions i n which the t o t a l solute concentrations were lower than 0.5-0.6 molar, the p a r t i a l pressure of the gas was assumed to be atmospheric pressure minus the vapor pressure of pure water at the reaction temperature. In the case of triethylamine, which required a very high amine concentration to obtain stable solutions, Lattey°s (8) data f o r the t o t a l vapor pressure of triethylamine-water mixtures were used. Variation of the CO p a r t i a l pressure was achieved, when desired, by using analyzed C O - N 2 mixtures. With ammonia, whose p a r t i a l pressure i s very high and whose reaction rate was very low at atmospheric pressure, an autoclave was used. The apparatus used was a Parr Series 4500 autoclave with a g l a s s - l i n e d stainless s t e e l reaction vessel, provided with a s t i r r e r , gas i n l e t tube, sampling tube f i t t e d with a stainless s t e e l f i l t e r , pressure gauge and thermowell, surrounded by an e l e c t r i c heating mantle controlled by a rheostat. 10 F i n e temperature c o n t r o l was a c h i e v e d by use o f an a u x i l i a r y e l e c t r i c h e a t e r , immersed i n the r e a c t i o n m i x t u r e through the g l a s s - l i n e d thermowell, and c o n t r o l l e d by a Thermistemp Temperat u r e C o n t r o l l e r (Model 71) a c t u a t e d by a t h e r m i s t o r immersed i n the s o l u t i o n . T h i s arrangement gave temperature control of d= 0.3°C, A 1 500 ml. s r e a c t i o n m i x t u r e was made up from s t o c k s o l u t i o n s and p l a c e d i n the r e a c t i o n v e s s e l . was N i t r o g e n gas run i n t o the m i x t u r e through the sampling tube and the porous s t a i n l e s s s t e e l f i l t e r , under a g i t a t i o n by the s t i r r e r , f o r some f i v e minutes; then the v e s s e l was to the d e s i r e d temperature. was s e a l e d and brought The s t a b i l i t y o f the s o l u t i o n e s t a b l i s h e d by t a k i n g samples and a n a l y z i n g them f o r s i l v e r i o n over a one hour p e r i o d . reduced to one atmosphere the CO gas was The i n t e r n a l p r e s s u r e was then by opening the gas o u t l e t once, and i n t r o d u c e d from a CO c y l i n d e r and m a i n t a i n e d a t a desired pressure. The p a r t i a l p r e s s u r e o f CO was as the d i f f e r e n c e between the t o t a l p r e s s u r e and the calculated combined vapor p r e s s u r e o f the s o l u t i o n and r e s i d u a l n i t r o g e n p r e s s u r e . Samples were taken a t a p p r o p r i a t e i n t e r v a l s and a n a l y z e d f o r silver ion. A f t e r each sampling more CO gas was supplied to * The nichrome w i r e c o i l o f the a u x i l i a r y h e a t e r was made to occupy the lower h a l f o f the thermowell and a volume o f s o l u t i o n s u f f i c i e n t t o f i l l the g l a s s l i n e r was used so as to a v o i d u n d e s i r a b l e s u p e r h e a t i n g o f the thermowell. 11 the system to e s t a b l i s h a constant pressure. The s t i r r e r was rotated, usually at 600 r.p.m., a f t e r establishing that the rate of reaction was Stoichiometry independent of the s t i r r i n g rate. measurements The amount of CO gas consumed was measured by means of a gas burette apparatus. conical f l a s k reaction vessel was A 125 ml. placed i n a small poly- ethylene water bath (diameter ca. 5 in.) which was connected to a thermostated water c i r c u l a t o r . The reaction v e s s e l f l a s k was connected to a 50 c c . burette provided with a mercury balancing b o t t l e . The reaction solution was teflon-coated magnetic s t i r r e r . was s t i r r e d with a 100 ml. of reaction solution placed i n the reaction vessel; nitrogen gas was first passed through the solution to remove oxygen from the reaction system, and f i n a l l y a f t e r d i s p l a c i n g the nitrogen by CO f i l l i n g the reaction vessel with CO, the whole system closed, the gas burette mercury l e v e l was magnetic s t i r r e r was turned on. balanced and and was the A dibutylphthalate a u x i l i a r y manometer was used for f i n e adjustment of the mercury l e v e l . When the rate of gas uptake became s u f f i c i e n t l y slow the burette was read, the reaction vessel was the burette and the solution was gas uptake was and analyzed. disconnected from The volume of corrected f o r the s o l u b i l i t y of CO, temperature pressure. In several cases the reaction mixture was t i t r a t e d for 12 amine and carbonate before and a f t e r the reaction. In those cases, an o r i g i n a l reaction solution was flushed with carbon dioxide-free nitrogen gas before i t was placed into the reaction vessel. A 25 ml. aliquot was taken for analysis and 100 ml. was pipetted under into the reaction v e s s e l . The o r i g i n a l and the f i n a l solutions were analyzed for amine and carbonate by potentiometric t i t r a t i o n with standard hydrochloric acid using a Beckman pH meter. S i l v e r metal deposited i n the reaction vessel was on a glass c r u c i b l e and weighed. collected I t s purity was determined by d i s s o l v i n g i n n i t r i c a c i d and t i t r a t i n g with thiocyanate. The amount of carbonate i n the f i n a l reaction mixture was determined more d i r e c t l y by a gravimetric method, as barium carbonate. Barium n i t r a t e or barium hydroxide was used to p r e c i p i t a t e the carbonate. barium hydroxide was used. For weakly basic amines In some cases ethylenediamine or propylenediamine was added to s t a b i l i z e the remaining s i l v e r ion before barium hydroxide was added. 13 III. RESULTS AND DISCUSSIONS STOICHIOMETRY For a l l the amines which were used i n the present study, when aqueous s i l v e r (I) amine solution was reacted with CO, a brown or black s o l i d separated from the solution, which proved on analysis to be pure s i l v e r metal. In many cases the glass w a l l of the reaction vessel also was covered by a s i l v e r mirror. The amount of s i l v e r metal formed was found to be equal to the amount of s i l v e r ion reduced (Table 1). TABLE 1 RESULTS OF STOICHIOMETRY MEASUREMENTS (I) Amine Initial (Ag(I)] mole/1 Amine PerSilver chlorate Amine Reduced mole/1 mole/1 mole/1 Carbon- S i l v e r Monoxide Metal Uptake Recovered mole/1 mole/1 0.0299 0.000 0.300 0.0299 0.015 0.0295 1,3-diaminopropane 0.0297 0.000 0.300 0.0297 0.015 0.0295 dlethanolamine 0.000 0.300 0.0296 0.0129 0.0294 ethylamine 0.0296 14 TABLE 2 RESULTS OF STOICHIOMETRY MEASUREMENTS ( I I ) •1 • 2 I n i t i a l Amine Carbon- Hydrogen Carbon(Ag(I)) PerS i l v e r Monoxide I o n ate c h l o r a t e Amine Reduced Uptake Produced Produced mole/1 mole/1 mole/1 mole/1 mole/1 mole/1 mole/1 2 Amine ethylamine 0.0300 0.000 0.0963 0.0300 0.015 0.0606 0.0151 methylamine 0.0299 0.000 0.0937 0.0299 0.015 0.0605 0.0150 diethylamine 0.0296 0.100 0.0933 0.0292 0.0146 0.0620 0.0145 ethanolamine 0.0300 0.000 0.100 0.0178 0.00809 *** dlethanolamine 0.0296 0.000 0.0988 0.0250 3 3 0.0114 (0.0532)(0.0133) 0.0297 0.000 0.300 0.0296 0.0129 ***" 3 *** 3 u 3 triethanolamine 0.0298 0.000 0.300 0.0199 0.0091 ethylenediamine 0.000 0.0298 0.0150 0.0618 0.0148 0.0297 0.015 *** 0.0300 1,3-diaminepropane 0.0297 0.0648 0.000 0.300 ***- *** 1 I n those experiments where t h e r e a c t i o n was c o n t i n u e d t o complet i o n a slow f u r t h e r uptake o f CO was observed even when a l l the s i l v e r had been reduced. T h i s zero o r d e r uptake o f CO i s presumably a t t r i b u t a b l e t o r e a c t i o n o f CO and H2O on t h e s i l v e r metal s u r f a c e to form formate (9) « > Jj 2 These a r e t h e r e s u l t s from p H - t i t r a t i o n o f t h e f i n a l solution. 3 I n t h e case o f ethanolamines, which a r e the l e a s t b a s i c o f a l l these amines, pH t i t r a t i o n was h o t r e a d i l y a p p l i c a b l e . F o r diethanolamine, t h i s method y i e l d e d o n l y the combined c o n c e n t r a t i o n o f amine and carbonate. These r e s u l t s i n t h e parentheses were c a l c u l a t e d from t h i s assuming hydrogen i o n produced: / carbonate = 4s1, hence s u b j e c t t o e r r o r . ' 15 Results of CO uptake measurements i n Table 2 show that two gram-ions of s i l v e r ion were reduced f o r each mole of * CO . The pH t i t r a t i o n of the f i n a l solution (results are summarized i n Table 2 and t y p i c a l t i t r a t i o n curves are given i n Figure II) showed that two gram-ions of hydrogen ion and one-half gram ion of carbonate (identity of t h i s product i s to be discussed l a t e r ) were produced f o r each gram-ion of s i l v e r ion reduced by one-half mole of CO. The o v e r a l l reaction can therefore be represented by 2AgL + 2 + CO + 2H 0 2 s*2Ag + C0 ~ + 4LH + 3 (3-1) under conditions where the amine (represented by L) i s present i n excess. The r e s u l t s of d i r e c t carbonate determinations (gravimetric a l l y as barium carbonate) on the same f i n a l reaction solutions are shown i n Table 3. ammonia systems gave the t i t r a t i o n r e s u l t s . Only triethylamine, diethylamine and those y i e l d s of carbonate expected from In the other cases a portion of the * In the case of the three ethanolamines the CO uptake was about 10% lower than the t h e o r e t i c a l value (Table 2). In these cases, some s i l v e r apparently a l s o was reduced by the amines or by an impurity. These side reactions were most pronounced at the high pH of these CO uptake experiments i n which; i n order to increase the rate of reaction, no amine perchlorate was added. Such solutions deposited some m e t a l l i c s i l v e r on standing even i n the absence of CO, while solutions containing amine perchlorate ( i . e . those used f o r the k i n e t i c experiments) were stable. The amount of s i l v e r reduced by these side reactions seemed to be d i r e c t l y dependent on the amine concent r a t i o n as indicated by the two experiments with diethanolamine i n Table 2. 5 io 15 20 25 30 0.1 U Standard HCl, ml. Pig. I I . Typical T i t r a t i o n Curves of Pinal Reaction Mixtures —'•— See Table 2 f o r experimental conditions. 17 "carbonate", r e s u l t i n g from the oxidation of the CO apparently combines with the amine to form a substance which decomposes on acidification. Decomposition with release of carbonate also occurred on treatment with base. Thus, when the f i n a l reaction solution was l e f t standing with an excess of barium hydroxide, the amount of barium carbonate p r e c i p i t a t e d increased slowly with time. In the case of methylamine, b o i l i n g with barium hydroxide resulted i n a 100% y i e l d of barium carbonate. These r e s u l t s suggest that the product i n question i s a carbamate or s i m i l a r compound, which i s known to form by reaction of carbon dioxide and amines or. .ammonia under moderately basic condition, and which i s decomposed by a c i d or by strong base. However, attempts to isolate, and characterize t h i s product were unsuccessful and some question as to i t s i d e n t i t y remains. The representation of the reaction products by equation (3-1) i s thus subject to q u a l i f i c a t i o n , i n certain cases, although the reactant stoichiometry appears to apply i n every case. 18 TABLE 3 RESULTS OF STOICHIOMETRY MEASUREMENTS (III) Amine I n i t i a l Amine PerS i l v e r Carbonate Carbonate (Ag(l)) chlorate Amine Reduced Produced Yield mole/1 mole/1 mole/1 mole/1 mole/1 CO^/^Ag Triethylamine 0.0374 0.1 0.9 0.0356 0.0179 99% Diethylamine 0.0314 0.100 0.386 0.0281 0.0136 97% Ammonia 0.0300 0.00 0.300 0.0172 0.0083 97% Methylamine 0.0500 0.00 0.300 0.0455 0.0069 31% Ethylamine 0.0400 0.00 0.300 0.0317 0.0053 33% Ethanolamine 0.0500 0.00 0.300 0.0301 0.0086 57% Dlethanolamine 0.0500 0.00 0.300 0.0339 0.0094 55% Triethanolamine 0.0304 0.010 0.100 0.0243 0.0087 72% Ethylenediamine 0.0114 0.00 0.200 o.oiii 0.001 20% 1,3-Diaminopropane 0.0400 0.00 0.300 0.0345 0.0084 49% 1 CO uptake was 0.0105 mole l " 1 1 (86%). KINETICS AND MECHANISM Among the s i l v e r amine complexes which were examined i n this study, a number, including the complexes of ethylamine, methylamine, diethylamine, ethanolamine and dlethanolamine exhibited very similar behaviour (designated as "standard") and w i l l be discussed f i r s t . The triethylamine-, triethanolamine- 19 and certain diamine- complexes, exhibited some departures from t h i s "standard" behaviour and w i l l be considered l a t e r . ETHYLAMINE COMPLEX This system 9 t y p i c a l of those e x h i b i t i n g "standard" behaviour, w i l l be considered i n some d e t a i l . The disappearance of Ag(I) at constant CO pressure obeyed f i r s t order k i n e t i c s i n a l l experiments as shown by the t y p i c a l f i r s t order plots of l o g [Ag(I)) v s . time i n Figure I I I . This was v e r i f i e d by the fact that the same rate constant was obtained f o r two d i f f e r e n t i n i t i a l s i l v e r i o n concentrations keeping the other conditions unchanged (Experiments l c and l g ) . The rate-law obeyed during the course of each experiment i s thus dt (3-2) where (Ag(I)) i s the t o t a l concentration of a l l the Ag(I) species, t i s time i n seconds and l o g i s common logarithm. When a l l the other conditions were kept constant at 2 5 ° C , k" exhibited f i r s t order dependence on the CO p a r t i a l pressure as shown by the p l o t of k" vs. [CO) i n Figure IV. The CO concentration i n the reaction solution was calculated using the s o l u b i l i t y data of S e i d e l l (10), assuming that the solution i s saturated with CO and the s o l u b i l i t y can be approximated by that i n pure water. Equation (3-2) can then be rewritten, as a second order rate-law. 20 • 0 1,000 2,000 3,000 Time, Pig. I I I . 4,000 5,000 sec. T y p i c a l Rate P l o t s f o r Ethylamine See Table 4 f o r experimental Complex conditions. 21 i 2 6 4 (CO], 10~ 4 8 mole 10 -1 Pig.IY.Dependence of Rate on Carbon Monoxide Concentration at 25° for Ethylamine Complex; (LH )=0.1 & (L)=0.2 mole 1 + 22 - k (Ag(X)) (CO) (3-3) 9 where 2.303 Values of the second order rate constants, k°, measured under various conditions are summarized in Table 4. TABLE 4 RATES OF REACTION OF ETHYLAMINE AND RELATED AMINE COMPLEXES OF SILVER AND OF SOME OTHER SIMILAR SYSTEMS Initial Amine Ethylamine Methylamine CO Pressure Amine Ug(I)l mm. M MxlO" Hg. 3 Amine Perchlorate M T°C. M sec. Si o xl0~ No. OCt 1 z 10.0 10.0 10.0 10.0 10.0 10.0 20.0 10.0 10.0 10.0 10.0 10.0 10.0 10.0 730 730 730 730 730 730 730 562 490 395 234 742 723 712 0.200 0.200 0.200 0.200 0.300 0.100 0.200 0.200 0.200 0.200 0.200 0.200 0.200 0.200 0.0500 0.0750 0.100 0.200 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 25 25 25 25 25 25 25 25 25 25 25 20 30 35 0.310 0.206 0.152 0.077 0.153 0.156 0.149 0.156 0.154 0.152 0.143 0.103 0.223 0.337 1.55 1.55 1.52 1.54 1.53 1.56 1.49 1.56 1.54 1.52 1.43 1.03 2.23 3.37 la lb lc Id le If lg lh li lj lk 11 lm In 10.0 10.0 10.0 10.0 20.0 10.0 10.0 10.0 10.0 10.0 10.0 730 730 730 730 730 562 395 234 747 742 723 0.200 0.200 0.200 0.100 0.200 0.200 0.200 0.200 0.200 0.200 0.200 0.100 0.200 0.300 0.200 0.200 0.100 0.100 0.100 0.100 0.100 0.100 25 25 25 25 25 25 25 25 15 20 30 0.283 0.152 0.094 0.152 0.152 0.283 0.287 0.286 0.110 0.174 0.424 2.83 3.04 2.88 3.04 3.04 2.83 2.87 2.86 1.10 1.74 4.24 2a 2b 2c 2d 2e 2f 2g 2h 2i 2j 2k i 23 TABLE 4 (Continued) Initial Amine CO Pressure Amine (Ag(I)l mm. MxlQ~ Hg. M J Amine Perchlorate /M M T°C. sec." k -1 exp see." xl0" No. 8.3 8.7 8.1 6.9 8.7 7.6 8.5 8.9 8.7 5.9 13.2 18.3 3a 3b 3c 3d 3e 3f 3g 3h 3i 3j 3k 31 z Diethylamine 10.0 10.0 10.0 10.0 10.0 20.0 10.0 10.0 10.0 10.0 10.0 10.0 234 234 234 234 234 234 730 562 395 742 728 712 0.200 0.200 0.200 0.400 0.100 0.200 0.200 0.200 0.200 0.200 0.200 0.200 0.100 0.200 0.300 0.100 0.100 0.100 0.200 0.200 0.200 0.200 0.200. 0.200 25 25 25 25 25 25 25 25 25 20 30 35 0.83 0.435 0.271 0.69 0.87 0.76 0.425 0.445 0.435 0.295 0.66 0.91 Ethanolamine 10.0 10.0 10.0 10.0 10.0 736 736 736 728 718 0.200 0.200 0.100 0.200 0.200 0.0500 0.0250 0.0250 0.0500 0.0500 25 25 25 30 35 0.057 0.109 0.109 0.091 0.147 0.29 0.27 0.27 0.46 0.74 4a 4b 4c 4d 4e Diethanolamine 736 736 736 728 718 0.200 0.200 0.100 0.200 0.200 0.0250 0.0500 0.0250 0.0500 0.0500 25 25 25 30 35 0.122 0.060 0.127 0.107 0.170 0.31 0.30 0.32 0.53 0.85 5a 5b 5c 5d 5e 10.0 10.0 10.0 10.0 10.0 The rate i s seen to be independent of the free amine concentration, but inversely dependent on the concentration of the conjugate acid of the amine (amine perchlorate, designated as LH ) as + shown i n Figure V. Thus the complete rate-law i s - <i(Afi(I)) dt 88 k , exp (Afi(I)1 foO) (LET] <"> 3 5 where (3-6) 24 for Ethylamine Complete j (Lj- 0.2 H, p - 730 mmHg R e f e r r i n g t o (3-1) and (3-5), some r e t a r d a t i o n o f the r a t e as the r e a c t i o n proceeds due t o i n c r e a s e o f ( L H ) i s expected. + U s u a l l y t h e i n i t i a l c o n c e n t r a t i o n o f amine p e r c h l o r a t e was made s u f f i c i e n t l y h i g h so t h a t t h i s e f f e c t was n e g l i g i b l e and good f i r s t order p l o t s were o b t a i n e d . at low However, i n some cases ( L H ) , ( A g ( I ) ) v s . t p l o t s showed the expected r e t a r d a + t i o n i n l a t e r stages o f t h e r e a c t i o n (Expt. 1-a i n F i g u r e I I I ) . In these cases the i n i t i a l l i n e a r p o r t i o n o f t h e r a t e p l o t s was employed f o r the d e t e r m i n a t i o n o f the r a t e c o n s t a n t . OTHER "STANDARD" SYSTEMS Among those amines which were i n v e s t i g a t e d , methylamine, d i e t h y l a m i n e , ethanolamine and diethanolamine showed the same type o f k i n e t i c s as ethylamine, i . e . , f i r s t o r d e r dependence on Ag(I) and CO, independence o f f r e e amine c o n c e n t r a t i o n and i n v e r s e f i r s t order dependence on ammonium i o n c o n c e n t r a t i o n . The experimental r e s u l t s expressed i n terms o f t h e second r a t e c o n s t a n t , k' (3-3) and k e X p order (3-5) a r e summarized i n Table 4. Most o f t h e k i n e t i c measurements were done a t 25°C. Typical r a t e p l o t s f o r these systems a r e shown i n F i g u r e V I . I n some cases the f i r s t order r a t e p l o t s e x h i b i t e d some downward c o n c a v i t y i n the l a t e r p a r t o f t h e r e a c t i o n . T h i s may be a t t r i b u t a b l e t o some zero order r e a c t i o n o f s i l v e r ( I ) w i t h a l i t t l e i m p u r i t y i n t h e amines o r amine i t s e l f , o r i t may be due t o some heterogeneous r e a c t i o n on s i l v e r metal. 26 0 500 1,000 1,500 2,000 2,500 Time, sec. Pig. 71. Typical Rate Plots f o r Ethylamine-type Complexes See Table 4 f o r experimental conditions 27 In those c a s e s s l o p e o f the i n i t i a l linear portions of the rate plots were employed to determine the rate constants. Mechanism The inverse dependence of the rate on (LH ) may be + understood by taking account of the following equilibria which prevail i n the solution. AgL, + J^U AgL + t ; + tAfr+KL? UgL.2; ; * L + = H0 LH 2 + + jj° "'' OH"; H (3-7) i = 1^ (3-8) Referring to the stability constants of silver amine complexes which are summarized in Appendix I, i t i s seen that the silver ions in these solutions are present predominantly as the biscomplex, AgL , so that + 2 (Ag(I)) & (AgL ) (3-9) + 2 The resulting rate expression obtained from equations (3-5, 7, 8 and 9) i s - 4<Mm . ^ ^-l K ^ - l (AgL ) (OH') (CO) (3-10) + This may be identified with the following reaction mechanism AgL 2 + H0 L-Ag-OH + LH 2 k 0 II > L-Ag-C-OH L-Ag-OH + CO 0 II L-Ag-C-OH + Ag(I) (Rapid equilibrium) (i) (Rate-determining step)(ii) >• Products (Rapid) (iii) The apparent rate constant of disappearance of Ag(I), k^p* defined by equation (3-5) and the bimolecular rate constant, k, 28 of the process ( i i ) are thus related through = 2kK = 2 1 ^ ^ ^ (3-11) 4- where - i s the association constant of AgL with OH , i.e., LAg 4- - k 4- OH K L-Ag-OH; fL-Ae-OH} (AgL+} (0H~) = \ ( 3 " 1 2 ) The factor of 2 reflects the fact that «ach rate-determining reaction results i n the reduction of two silver ions. Hence, i t i s more appropriate to express the rate of the reaction i n terms of the rate of consumption of CO, i.e., the rate of the rate-determining ~ i L step. Thus, d | = " % dt 1 d ( ( I > ^ = k (L-Ag-OH) (CO) (3-13,a) = k^fAgL ") (OH"] (CO) (3-13,b) • W d , <- '> 4 3 13 c Processes (3-7), (3-8) and (3-12), which are involved i n equilibrium (i) or the process ( i ) i t s e l f i s presumably s u f f i c i ently rapid that (i) can be regarded as a pre-equilibrium. The overall stoichiometry requires that the reaction intermediate containing a CO molecule, and one silver ion, L-Ag-COOH, reacts with another silver (I) species (the identity of which i s to be discussed later). However, this step ( i i i ) appears to be fast, compared with ( i i ) , so that the kinetics are f i r s t order in Ag(I). 0 This intermediate complex, L-Ag-C-OH, i s analogous to the one 29 which was previously proposed by Harkness and Halpern (3) as an intermediate complex in the reaction of Hg , i.e., -Hg-C^-OH. 2+ Support for the structure of the latter was provided by the observation by Halpern and Kettle (6) that when methanolic solution of mercuric acetate takes up CO under similar conditions, a stable methylformate derivative, AcO-Hg-H-OCH^, analogous to the proposed complex was formed, isolated and spectroscopically identified. They also reported that attempts to prepare analogous CO adduct of silver acetate were unsuccessful, but this can presumably be attributed to the poor solubility of silver acetate in methanol and instability of the CO adduct toward decomposi- tion into metallic silver. In terms of this mechanism i t might be expected that the rate constants k (and also kK ) should be relatively insensitive n to the nature of L and thus that the large dependence of k^^ on the nature of the amine should reflect largely the variation of and K^. This i s shown to be the case in Table 5 where i t is seen that notwithstanding a 30-fold variation in k^p -3 -2 -1 (which ranges from 2.8x10 to 8.6x10 sec. , for the five amines under consideration) the value of kK^ i s substantially constant, (1x10 5 mole -2 2 -1 1. sec. ) for a l l the systems. 30 TABLE 5 SUMMARY OF KINETIC AND RELATED THERMODYNAMIC DATA FOR "STANDARD" SYSTEM AT 25°C. 2) 1) lc _____ exp Amine C H NH xlO mole l.-l % h xlO 4 4 sec."*" 3) kK mole. l." 1 xlO"_ 9 mole 1? sec." 5 xlO* mole I"? 1.55xl0" 2 1.2 6.5 2.85xl0" 2 2.9 5.2 15 0.9 (C H ) NH 8.6 xlO" 2 5.0 9.1 46 1.0 HOC H NH 2.8 xlO" 3 2.8 0.55 1.5 1.0 (HOC H ) NH 3.1 xlO" 3 0.10 1.6 1.0 2 5 2 CH NH 3 2 2 5 2 2 4 3 2 4 2 16 7.6 1.0 1) and 2) Refer to Appendix I. 3) Calculated by use of equation (3-11). The temperature dependence of. the rate constants was determined for a l l these systems over the temperature range 15 to 35°C. In a l l cases good linear Arrhenius plots were obtained, which are given in Figure VII. parameters are summarized i n Table 6. The activation 31 3.2 3.4 3.3 T" , 1 Fig. VII. 10~ 3 3.5 dee' 1 Arrhenius Plots f o r Ethylamine-type Complexes 32 TABLE 6 APPARENT ENTHALPY AND ENTROPY OF ACTIVATION FOR "STANDARD" SYSTEMS * 1) 3 AS A H exp exp Kcal. mole **e.u.mole-1 exp Amine C2H-NH2 7.8 xlO" 3 14.3 -20.0 CH_NH 1.43xl0" 2 15.5 -14.9 (C H-) NH 4.3 xlO" 2 14.1 -17.5 HOC H NH 1.4 xlO' 3 17.4 -13.1 (HOC H ) NH 1.6 xlO" 3 18.3 - 9.9 2 2 2 2 4 2 1)' 2 4 2 %k ,> i s used for the calculation of the activa- exp = kK hKjd^KT u tion parameters. The present result shows that the only silver (I) species that i s active toward CO under the conditions investigated for these five amines i s the hydrolyzed mono-amine complex, L-Ag-OH while other silver (I) species involving the bis-complex, AgL2 , and free silver ion or aquo complex, Ag , make a negligible + + contribution. Although metallic silver was precipitated during the course of reaction, i t s heterogeneous catalytic effect, at least during the early stages, was small. 33 TRIETHYLAMINE COMPLEX The triethylamine complex exhibited somewhat different kinetic behaviour, from the "standard" systems described above, notably in that the rate of reaction was no longer independent of the free amine concentration but exhibited an inverse dependence on the latter. The rate was inversely proportional to ammonium concentration but the effect of silver concentration was somewhat more complicated. The experimental results are summarized in Table 7 and typical rate plots are shown i n Figure VIII. This complex exhibited the fastest overall rate of a l l the amine complexes investigated in this study, so that a 32.3% CO - 67.7% N mixture was used in most of the experiments 2 to obtain a reaction rate convenient for measurement. A f a i r l y high concentration of triethylamine (up to 0.8 mole'l ^) was employed to prevent the hydrolysis of silver and precipitation of silver oxide because the triethylamine-silver complex i s much less stable than the complexes of primary and secondary amines, while the basicity of the amine i s almost the same. Because of the high vapor pressures of the resulting solutions Lattey's (8) data on the vapor pressure of aqueous triethylamine solution were used to calculate the partial pressure of CO. 34 T A B L E R A T E O F R E A C T I O N O F T R I E T H Y L A M I N E 1) Amine Vapor Initial Amine Per- Pres(L) chlorate sure (Ag(I)h mole-l" - mole-l" mmHg mole°l 1 O o O l O 0.010 0.010 0.010 0.010 0.010 0.010 0.010 0.010 0.010 0.010 0.010 0.005 0.005 0.005 1) 0.809 0.802 0.794 0.784 0.205 0.250 0.263 0.309 0.342 0.412 0.508 0.619 0.080 0.180 0.180 1 0.600 0.480 0.400 0.300 0.600 0.600 0.600 0.600 0.600 0.600 0.600 0.600 0.300 0.300 0.200 7 79 79 78 78 47 51 53 57 60 65 70 74 34 45 45 C O M P L E X A T 2 5 ° C . C O PresK sure mole'l mmHg sec"*220 220 220 220 230 229 228 227 226 224 223 222 234 231 231 1.02 1.31 1.71 2.27 2.32 2.16 2.12 1.91 1.74 1.62 1.45 1.20 5.1 3.4 4.9 , k exp sec"*- Expt. No. 0.61 0.63 0.68 0.68 1.39 1.30 1.27 1.15 1.04 0.97 0.87 0.72 1.53 1.02 0.98 6a 6b 6c 6d 6e 6f 6g 6h 6i 6j 6k 61 6m 6n 6o o v n Reference (8). Although triethylamine was very carefully purified as described i n the experimental section, there was an appreciable amount of i n i t i a l reduction of silver (up to 25% of total silver (I) concentration) which may be attributed to some impurity i n the amine, and which introduced some complications, * The reaction mixture was usually stable toward the i n i t i a l reduction under nitrogen flow especially at high ammonium concentration. This i n i t i a l reduction occurred usually after C O gas was introduced into the reaction vessel, as can be, seen i n the rate plots (Figure V I I I ) . The amount of the i n i t i a l reduction of silver was directly dependent: on the total amine concentration (free amine and ammonium) i n the reaction solution. However, i t seemed to have no significant effect on the rate of the subsequent reduction by C O . 35 36 particularly in the determination of the effect of i n i t i a l silver concentration on the reaction rate, since at low i n i t i a l (Ag(I)) a large portion of Ag(I) was lost by the. i n i t i a l reduction while high (Ag(I)J could not be employed because of the instab i l i t y of the complex toward hydrolysis of silver ion and precipitation of silver oxide. Two alternative interpretations of the inverse dependence of the rate on the free amine concentration were considered. The f i r s t of these involved the possibility that not only the mono-complexed silver ion but also uncomplexed ion (or aquo ion) contributes to the overall reaction to an appreciable extent. This failed to yield a rate-law which f i t t e d the observed dependence of the rate on the silver (I) and amine concentrations in detail, and, furthermore, required that the reactivity of free silver ion, which i s present i n very low concentration compared to the mono-complex, be much higher (some 300-fold) than that of the latter. This could not be readily reconciled with the observed insensitivity of the rate of various other mono-complexes to the nature of the amines, and with the measurements of Peters and McAndrew (5) on the reduction of uncomplexed Ag + ions by CO i n perchlorate media. Consequently this inter- pretation was rejected. A more satisfactory account of the. kinetic behaviour of this system was obtained in terms of the following mechanism i n which the competitive reaction of the intermediate, L-Ag-COOH, 37 are considered. k L-Ag-OH + CO x v k + k L - L-Ag-COOH (ii') -l 2 L=Ag-COOH + LA.g > Products Here, processes k ^ and (iv) are competing for the intermediate complex, L-Ag-COOH, the back reaction of the f i r s t step ( i i ) no longer being negligible. Assuming steady state approximation for L=Ag-COOH, the kinetics are found to be _ d(CO) , dCAn(I)) _ . tAg(I)] (CO) dt * dt exp (LH+) m % . k k lW k r i l h b d K K , Vh k k exp " Thus, k K K k.j+kj^ (LH*") K L (A (I)j (CO) VVSi, (LH+) kK K 2 k~ -1CL)+k.I.Kd^ (Ag(I)j •L 1 t . l t i s no longer a constant. ktp" " 2 k l V k 2 K > d (Ag(I)) CAg(D)/(L) 1 2 fi ^iVW^** " 2VAg(I))/(L) L W y * 3 14 > ,~ , . ^- > (Ag(I)) 3 (3 15 " > 16 Taking reciprocals fr^CL^K (Ag(I))) (3-17) l From the equation (3-25), we expect a linear relation between 1/k^p and ( L ) at a fixed total silver ion concentration, (Ag(I)) . The plots of l/k „ vs. ( L ) i n Figure IX based on ov the experimental results in Table.7 are in complete accord with this. From equation (3-17) the intercept and the slope of the linear plots are given by 3 8 0.0 0 0.2 0.4 0.6 (L), Pig. IX. mole l " 0.8 1 Dependence of Rate on Free Amine Concentration at 25° f o r Triethylamine Complex 39 Intercept - fc g v 1 n D d. 2 A „ Slope = (3-18) K Hr „ r L / 0 1 (3-19) T k 2 K d [ A 8 ( I ) ) 1 Thus, the intercept should be independent of (Ag(I)) and the slope should be inversely proportional to (Ag(I)) s i n accord with Figure IX, which also shows k. _ to be independent of (LH }. + From the intercept and slopes of the plots i n Figure IX, and using equation (3-18) and (3-19), the following values were obtained for the rate constants. k - ^ - 2.5xl0 mole" «1 .sec." 5 k 2^ -l k = 3 ' 4 x l ° 3 2 2 (3-20) 1 mole" '! 1 (3-21) The value of kjK^ i n this case i s about 2.5 times as large as that found for ethylamine and related complexes. It i s obvious that when the second term i n the denominator of the equation (3-16) i s much larger than the f i r s t term, (i.e., k^K^ (Ag(I))^ k_^ L ), the overall kinetics approach those for the ethylamine complex. For some reason, i n the case of triethylamine, these two terms are comparable i n their magnitudes. Since for triethylamine i s actually larger (70 times) than for ethylamine, the observed kinetics must reflect either an abnormally large value of k_^ or an abnormally small value of k£. 40 TRIETHANOLAMXNE COMPLEX The only other tertiary amine that was investigated i n this study was triethanolamine. The silver complex of this amine exhibited almost the same kinetics as ethylamine, the rate i n this case being almost independent of the free amine concentration;, with only a slight dependence i n the opposite direction to that for triethylamine (i.e., the rate increasing with amine concentration) and inversely proportional to the ammonium concentration. The experimental results are summarized i n Table 8 and typical rate plots are given i n Figure X. The dissociation constant of the triethanolamine complexes i s so large (K that It i s no longer valid to approximate [AgL 2 d = 0.046) ) by (Ag(I)) . This would give rise to a dependence of the rate on the free amine concentration even i f the reaction followed the same kinetics as for the ethylamine complex. The observed dependence of the rate on the amine concentration i s i n the direction expected from this (i.e., the rate increases with the amine concentration), but i s much smaller than predicted. This suggests that there i s also superimposed upon this an inverse dependence of the rate on the free amine concentration, similar to that found for triethylamine complex. This i s not unexpected i n * Actually, using the value for K^., given above, the calculation shows that more than 30% of the silver i s present i n the form of AgL at (L) = 0.1 mole«l ^ + m 0 41 TABLE 8 RATE OF REACTION OF TRIETHANOLAMINE COMPLEX Initial (Ag(I)1 mole*I" * 1 Amine CO k« Amine PerPresL chlorate sure mole°*l»l mo 1 e • 1" ^mo 1 e • 1 °°n1 nnHg T°C. sec'l. k exp sec'l Expt. No. 0.010 0.100 0.0500 705 40 0.23 1.2x10'-2 7a 0.010 0.100 0.100 705 40 0.13 1.3x10'-2 7b 0.007 0.100 0.200 705 40 0.069 1.4x10'-2 7c 0.07 0.100 0.100 705 40 0.13 1.3x10'-2 7d 0.007 0.200 0.100 705 40 0.13 1.3x10"-2 7e 0.007 0.040* 0.0500 730 25 0.049 2.4x10"-3 7f 0.007 0.100* 0.0500 730 25 0.060 3.1x10'-3 7g 0.007 0.190* 0.0500 730 25 0.062 3.1x10'-3 7h 0.014 0.040* 0.0500 730 25 0.051 2.6x10"-3 7i 0.007 0.040* 0.0250 730 25 0.091 2.3x10'-3 7j 0.007 0.100 0.0500 728 30 0.106 5.3x10'-3 7k 0.007 0.100 0.0500 718 35 0.17 8.5x10'-3 71 Free amine concentrations corrected for the dissociation of silver complex. view of the similar stability constants of the two complexes. The dissociation constants of both complexes are much larger than that of the ethylamine complex and i n both cases the order of the f i r s t and second dissociation constants ( K ^ ^ is the reverse of that for ethylamine and other primary and ) 42 -1.8 Log(Ag(l)] 0 1,000 2,000 3,000 Time, Fig. X. - i — 4,000 5,000 sec. Typical Bate Plots f o r Triethanolamine Complex See Table 8 f o r experimental conditions. 43 secondary amines (Appendix I ) . Applying the same mechanism to triethanolamine, as previously to triethylamine, and assuming (Ag(I) ) = U g L ) + [AgL ) + (3-22) + 2 (3-23) K + CD d d l and neglecting other silver species, then the rate law i s expected to be of the form , * ^ dlCOJ _ dt d(An(I>] . dt . (Afi(I)_j (CO) * ""exp ex fur) ^ k P k (AgL ) + 2 k ( A g L ) (OH") (CO) ^J^^ (3-24) + lKh 2 fD k ^ ( K +(Lj)^fk K (Ag(I)}(K +(L)) 1 1 1 (3-25) s d 2 d d It was not possible to make sufficiently accurate kinetic measurements to test this equation i n detail and determine a l l the rate constants involved. However, an attempt was made to estimate the rate constant k^ from the experimental rate constants. It i s seen from equation (3-25) that when ( D i s very small, the f i r s t term in the denominator becomes negligible compared to the second term and the kinetics approach the following form. d[CO dt = k l h b d K K K fAe 1 CLH^ ) °' f C 1 K, +(L) f (3-26) 44 Among the experimental data Expt. 7-f i s the one done at lowest ( L ) (=0.040 mole*!"*-). For the experimental condition of this experiment the ratio of the two terms in the denominator of (3-25) was calculated to be -l k k 2 ( d j + (IQ) K^(Ag<I))(K +(L]) K 2 d using the value of " °' 08 given in Appendix I (K^ 1 ( 3 " 2 7 ) = 0.046) and 1 assuming the same value of k.^/k^ as for triethylamine given by (3-21). This ratio seems to be sufficiently small to approxi- mate the kinetics at these experimental conditions of Expt. 7-f by (3-26). (Simple comparisons of the numerical values of ( L ) / ( K , + ( L ) ) with these experimental results in Table 8 show that below ( L ) = 0.1, the results agree f a i r l y well with the kinetics given by (3-26) but deviate from i t very rapidly as ( L ) increases. This i s expected since the f i r s t term i n the denominator of (3-25), which was neglected i n (3-26), i s second order i n (L).) From (3-26) k ^ k-K. = kexp i s given by (3-28). d l (3-28) Using the data of the Expt. 7-f, k^K^ was estimated to be 1x10 5 =2 mole *" 1 2 sec -1 . Although this i s a very rough estimate, i t agrees with that of ethylamine (kK^ = 1.0x10"*), at least in order of magnitude. A further expected feature of the kinetics in the observed 45 curvature of Arrhenius plot (Figure XI) of the apparent rate constant, k j at ( L j = 0.100 mole-l" . As can be seen from the * exp' 1 several experiments at 40°C. (Table 8) the kinetics at this temperature were closer to the "standard" ones than at 25°C. However, at (L) - 0.1 and at 25°C. the kinetics appear to be close to those for ethylamine and the two other ethanolamine complexes and the apparent energy of activation under this condition and at this temperature i s also very close to those for two * -1 other ethanolamines ( AE ~ 18 Kcal. mole ). This mechanism, comprising a sequence of ( i i ) and (iv), 1 appears to give a satisfactory account of the kinetic behaviour of the triethylamine and triethanolamine complexes, although only a semi-quantitative discussion was possible for the latter. As mentioned previously, the necessary condition for this mechanism to hold i s that either k_^ i s abnormally large or k small compared to those for ethylamine. 2 abnormally This behaviour may be related to the fact that the dissociation constants (especially K^) of the silver complex of tertiary amines are abnormally large (K^ i s 70 times for triethylamine and 400 times for triethanolamine complex as large as that of ethylamine; Appendix I ) , that i s , their bis-complexes seem to be abnormally unstable toward the loss of the second coordinated group. A similar instability of the intermediate complex L-Ag-COOH toward decomposition could account for an abnormally large value of k_^. These observations provide some information about the 46 -1.0 Ethylene-,! amine ChH ] - 0.100 mole 1" + (L) - 0.200 mole 1* -1.5 Log k exp -2.0 Trie thanoland ne (LH J - 0.050 + (L ) - 0.100 mole 1 -2.5 3.2 3.1 3.3 T" , 1 Pig. XI. 10" 3.4 3 degT 1 Arrheniue Plots f o r Triethanolamine and Ethylenediamine Complexes 3.5 47 second step of the reaction, beyond that which could be deduced from the results of the ethylamine-type systems„ In particular, they indicate that the second silver species which reacts with the intermediate complex i s also a mono-complexed species. This point i s to be discussed again later. AMMONIA COMPLEX The ammonia complex exhibited the slowest overall reaction rate of a l l the amine complexes investigated in this study. Most of the rate measurements for this system were made in an autoclave at 30°C. and at high CO pressure (up to 20 atm.). The experimental results are summarized in Table 9 and some typical rate plots are given in Figure XII. The dependence of the rate on the ammonium ion concentration was complex. The log k' vs. log (LH ) plot i n Figure XIII shows that the rate + is inversely proportional to (LH ) at low ammonium ion concentrations but that at higher ammonium ion concentrations the inverse order increases to two or higher. This implies that the reaction mechanism may be different i n the two regions or the rate i s controlled by different steps. The effects of silver ion concentration, CO pressure and free ammonia concentration were studied at both low (0.02 mole'l"''") and high (0.1 mole»l~*) NH^ concentration and these + results also are summarized in Table 9. In both NH^ region, the reaction rate was f i r s t order i n CO and only slightly 48 TABLE 9 RATE OF REACTION OF AMMONIA COMPLEX Initial CO Ammonia Ammonium k* (Ag(I);) Pressure CU (LR+) mole ^»l mole°l atm. mole-1" mole•1~1 T°C. sec'^= exp sec 1 Expt, No. Effect of Ammonium 0.010 0.010 0.010 0.010 0.010 0.010 0.010 0.010 0.010 0.010 0.010 9.2 9.2 9.2 9.2 9.2 9.2 9.2 9.2 9.2 9.2 9.2 0.180 0.180 0.180 0.180 0.180 0.180 0.180 0.180 0.180 0.180 0.180 0.0200 0.0236 0.0300 0.0500 0.0700 0.0850 0.100 0.125 0.150 0.175 0.200 30 30 30 30 30 30 30 30 30 30 30 4.6x10 -2 3.3x10-2 2.8x10-2 1.65x10-2 7.6x10-3 8.3x10 -3 5.5x10 -3 5.0x10 -3 3.1x10 -3 1.8x10-3 1.2x10-3 9.2x10-4 7.4x10 »4 8.4x10 -4 8.3x10 -4 5.3x10 -4 7.0x10 -4 5.5x10 -4 6.3x10-4 4.7x10 -4 3.1x10 -4 2.4x10-4 8a 8b 8c 8d 8e 8f 8g 8h 81 8j 8k Effect of CO Pressure 0.010 0.010 0.010 0.010 4.1 9.2 14.1 19.2 0.180 0.180 0.180 0.180 0.020 0.020 0.020 0.020 30 30 30 30 5.3x10-2 10.5x10-4 4.6x10 -2 9.2x10-4 4.9x10 -2 9.8x10-4 5.0x10 -2 10.0x10 -4 81 8a 8n 8o 0.010 0.010 0.010 0.010 4.1 9.2 14.1 19.2 0.180 0.180 0.180 0.180 0.100 0.100 30 30 30 30 5.7x10-3 5.5x10-3 5.7x10-3 7.2x10-3 5.7x10-4 5.5x10 -4 5.7x10 -4 7.2x10-4 81' 8g 8n' 8o» o.ido 0.100 Effect of I n i t i a l Silver Ion 9.2 9.2 9.2 0.180 0.180 0.180 0.020 0.020 0.020 30 30 30 4.2x10'-2 4.6x10'-2 4.8x10'-2 8.5x10'-4 9.2x10"-4 9.6x10'-4 8p 8a 8q 0.0048 9.2 0.0099 9.2 0.0196 9.2 0.180 0.180 0.180 0.100 0.100 0.100 30 30 30 2.6x10 -3 5.5x10'-3 9.8x10'-3 2.6x10"-4 5.5x10"-4 9.8x10"-4 8p' 8g 8q» 0.0047 0.0047 0.0195 49 TABLE 9 (Continued) Initial CO Ammonia Ammonium (Ag(I)} Pressure (L j (LH+) mole•I" atm. mole-l mole !" T°C. 1 1 4 1 k° mole" -! sec"l k sec" 1 e x Expt No. p 1 Effect of Free Ammonia 0.010 0.010 0.010 9.2 9.2 9.2 0.080 0.180 0.280 0.020 0.020 0.020 30 30 30 3.9x10-2 4.6x10-2 3.1x10-2 7.8x10-4 9.2x10>4 6.2x10-4 8r 8a 8s 0.010 0.010 0.010 9.2 9.2 9.2 0.080 0.180 0.280 0.030 0.030 0.030 30 30 30 2.7x10-2 2.8x10-2 2.2x10-2 8.2x10=4 8.4x10-4 6.6x10-4 8r" 8c 8s" 0.010 0.010 0.010 9.2 9.2 9.2 0.080 0.180 0.280 0.100 0.100 0.100 30 30 30 7.6xl05.5x10-3 5.1x10*3 7.6x10-4 5.5x10" 5.1x10-4 8r 8g 8s» 0.050 0.050 0.050 0.050 0.050 25 30 35 40 50 1.06x10-2 1.4x10-2 2.0xl0~ 3.1x10*2 6.6x10-2 5.3xl0" 7.2x10-4 10.2x10-3 1.5x10-3 3.3xl0" 8t 8d 8u 8v 8w 3 4 e Effect of Temperature 0.010 0.010 0.010 0.010 0.010 9.2 9.2 9.2 9.2 9.2 0.180 0.180 0.180 0.180 0.180 dependent on the free NH^ concentration. 2 4 3 No trend, however, was discernible i n the latter dependence. The dependence on (Ag(I)j was f i r s t order at low (NH^ ) and second order at high + (NH ) (i.e., k' was proportional to (Ag(I)).) + 4 This suggests that at high (NH^ ) the rate i s controlled i n part by the second step in which the second silver (I) species takes part. The high inverse order dependence on [ NH^ J i n this region further suggests that the second silver species also is hydrolyzed. 50 Time, Pig. XII. sec. Topical Rate P l o t s f o r Ammonia Complex See Table 9 f o r experimental c o n d i t i o n s . 51 -1.0 1.5 -l.o -0.5 Log [LH ] + Pig. XIII. Dependence of Rate on Ammonium Ion Concentration at 30° f o r Ammonia Complex; [ L j = 0.200 mole l " " 1 52 The following mechanism i s consistent with these observations t l k . L-Ag-OH + CO ^ L-Ag-COOH (ii') -1 k 2 L-Ag-COOH + L-Ag-OH > 2Ag + C0 + 2L + H_0 2 (v) where two processes with rate constants k_^ and k2 are competing for intermediate complex, L-Ag-COOH. The kinetics, assuming steady state concentration of L-Ag-COOH, are thus of the following type. " " ^ I P - "^T 1 k " 1 CAg(X)) (CO)/(LH ) + k k K^Kg4 (Ag(I))2(C0) = 1 2 1 " (LHT)^k^^K^K^(Ag(I))/tLH*")} (3-29) At low (NH^ where k_ « k ^ I ^ K ^ (Ag(I))/[LH+), the kinetics x approach those for ethylamine while at high (NH^ ) where 4 k_^» k2Kj K K ^(Ag(I))/(LH i b ], the reaction i s second order on d (Ag(I)) and inverse second order on (LH J, i . e . , + L o w ( L H +) d 8 . , +, High (LH ) TW s M m V d(00) = - d t h V JAig^fii ^ ( 3 2 2 2 (A (I)) fCOj K ^ K ^ (LH+J- . ) 3 0 2 fi k - 1 ( 3 _ 3 1 > From the experiments at low (LH ) (0.020 mole l " ) + k exp - Using the values for 2 k lW 1 = d l 9 X 1 0 ' 4 SeC " X and K ^ at 30°C. in Appendix I, d ( 3 _ 3 2 ) 53 (3-33) On the other hand at high (LH*") k k exp - ^1 e X p corresponds tos K ^ K ^ JA^IJ The experimental rate constant ( 3 „ 3 4 ) at (LH ; = 0.100 mole"1 (Expt s. 8p°, 8g, 8q') exhibits a good f i r s t order dependence on 9 (Ag(I)) and gives a constant value for k /(Ag(I)) (5.4, 5.6 -9 -1 -1 and 5.0x10 mole •l-sec , respectively), i.e., A x at (LH ) = 0.100 mole'l" + 2 2 2 2k, k h bKdT k K ( A i ^ r Substituting values for • "WT • 5 X 1 0 2 , 9 - l - - - ! - ^ " 1 0-35) 1 (LH J = 0.100 mole l * * and using (3-32) and the + 1 and again we get 2 h k -1i k All _ K 9 1 K 2xl0 mole" .! 9 these results are for 30°C. 2 (3-36) 2 This temperature was chosen for the most of kinetic studies instead of 25°C. because of d i f f i c u l t y in controlling the autoclave temperature at 25°C. To compare the rate constant with those of other systems, i t i s necessary to correct i t to 25°C. Arrhenius plot at (LH ) • + 0.050 mole 1 * given in Figure XIV also reflects the complex nature of the kinetics of this system. It was d i f f i c u l t to measure the temperature effect at lower (LH*) than this because 54 55 of the fast rates and poor rate plots. The Arrhenius plot i n Figure XIV i s linear at high temperature but i s concave upwards at low temperatures. This indicates that the linear portion represents the temperature dependence of the apparent rate constant of the form given by (3-34) and not (3-32). The appa- rent energy of activation calculated for linear portion of the Arrhenius plot i s 13.7 Kcal. mole \ which i s very close to the values for k (^kH^K^R^ ) for other systems (14-18 Kcal. mole~1 , Table 6 ) . It thus ^ seems reasonable to calculate the rate constant given by (3-32) for 25°C. using a temperature co* »i efficient corresponding to AH «= 14-18 Kcal. mole . . Because the temperature interval involved i s small (5°C), the error involved in the extrapolation can hardly be very large. Thus s from (3-32) exp - 210^1^^ - 6xl0~ Again, using the values for K Vh "- «* ° 1 x l 3 sec" 1 (at 25°C.) (3-37) and K, for 25 C. in Appendix I. b °i 5 mole' »1 -sec" 2 2 1 (3-38) This i s very close to the values previously found for ethylamine and related systems (1.0x10^). At (NH^ + ) exceeding 0.1 mole'l -1 , the dependence of the rate on (NH^ ) seems to exceed inverse second order (Figure XIII). + However, in this region the actual rate of the reaction was extremely slow so that the measurements are considered unreliable. The mechanism involved here i s substantially the same as that derived previously for the two tertiary amines«, triethylamine and triethanolamine apart from a difference in the nature of the 9 Ag(I) species participating in the second step of the reaction (L-Ag-OH and LAg , respectively). difference i s available. No explanation for this Recently, Peters and McAndrew (5) reported the kinetics of the reduction of silver in perchlorate media at 70°C. to be (3-39) which was interpreted by the following mechanism Ag + CO + H 0 + 2 AgCOOH + Ag + -=_± AgCOOH + H > 2Ag + C0 + H o (Rapid equilibrium) + + (Rate determining) In this case the second silver (I) species reacting with the intermediate complex i s an unhydrolyzed ion analogous to LAg in the tertiary amine cases. The slowness of the second step in the case of the ammonia complex which leads to the departure from the simple ethylaminetype kinetics may be due to the much lower basicity of ammonia (i.e., to a smaller L-Ag-OH concentration). However, the failure of diethanolamine, which i s even less basic, to exhibit the same type of kinetics as ammonia, throws some doubts on this. DIAMINE COMPLEXES In addition to the above monoamines, three primary diamines, ethylenediamine, 1,3-diaminopropane and 1,4-diaminobutane were examined. The experimental results are summarized in Table 10 57 TABLE 10 RATE OF REACTION OF DIAMINE COMPLEXES Initial CO Amine (Ag(I)) Pres- Amine Persure (L) chlorate mole" .! exp mole.I" mmHg moleX mole l- T°C. sec™ sec". 8 k k 1 Amine 1 1 o 1 1 1 Ethylenediamine 0.013 0.013 0.013 0.012 0.020 0.020 0.020 0.010 0.010 0.010 0.010 0.010 0.010 0.010 0.010 705 705 705 705 705 508 239 741 742 730 728 712 699 683 664 0.300 0.300 0.100 0.200 0.200 0.200 0.200 0.200 0.200 0.200 0.200 0.200 0.200 0.200 0.200 0.100 0.300 0.100 0.200 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 0.100 40 40 40 40 40 40 40 15 20 25 30 35 40 45 50 1,3-Diaminopropane 0.010 0.010 0.010 0.005 0.010 0.010 0.010 0.010 0.010 736 736 736 736 736 736 736 736 736 0.183 0.183 0.183 0.192 0.0356 0.0643 0.0840 0.183 0.282 0.100 0.050 0.025 0.100 0.025 0.025 0.025 0.025 0.025 25 7.1xl0- 7.1x!0" 10a 25 1.6X10" 8.2x10-3 10b 25 2.8x!0 7.1xl0" 10c 25 7.1x10-2 7.1x10-3 10d 25 1.7x10-1 4.2x10-3 I0e 25 2.2X10" 5.5x10-3 I0f 25 2.5X10" 6.1x10-3 log 25 2.8x10" 7.1x10-3 lOh 25 3.0x10-1 7.6x10-3 10i 0.010 0.010 0.010 0.010 0.010 0.010 0.010 736 736 736 736 736 736 736 0.190 0.190 0.190 0.090 0.050 0.010 0.005 0.0177 0.0250 0.0354 0.0250 0.0250 0.0250 0.0250 25 25 25 25 25 1 4= Diaminebutane s 0.34 0.112 0.34 0.17 0.34 0.34 0.34 0.132 0.193 0.216 0.220 0.228 0.354 0.480 0.668 0.034 0.034 0.034 0.034 0.034 0.034 0.034 0.0132 0.0193 0.0216 0.0220 0.0228 0.0354 0.0480 0.0668 No. 9a 9b 9c 9d 9e 9f 9g 9h 9i 9j 9k 91 9m 9n 9o 3 2 1 3 <=1 1 1 1 7.6xl0- 11a 8.1x10-3 l i b 8.3x10-3 H e 8.3x10-3 H d 8.4x10-3 l i e 25 2.6X10" 6.4x10-3 l l f 25 2.4X10" 6.0xl0°3 l i 4.3x10-1 3.2x10-1 2.3x10-1 3.3x10-1 3.4x10-1 and some typical rate plots are given i n Figure XV. 3 1 1 g The ethylene- diamine complex was f i r s t investigated at 40°C. and found to 58 0 1,000 2,000 Time, Pig. XV. 3,000 sec. Typical Rate Plots f o r Diamine Coplexes ••• See Table 10 for experimental conditions. 59 exhibit kinetics similar to those of the ethylamine complex as can be seen from Table 10. However, the study of the temperature dependence of the rate revealed more complicated behaviour at lower temperature and the results failed to yield a linear Arrhenius plot (Figure X V I ) . Attempts to elucidate the kinetics at 25°C. and obtain directly the rate constant at this temperature for comparison with the other amine complexes were unsuccessful. Thus the rate of this system at this temperature exhibited a very complicated dependence on amine, amine perchlorate and silver ion concentration which was not altogether reproducible. At higher temperature, however, (above 35°C.) the system appeared to be well behaved. Extrapolation of the linear portion of the Arrhenius plot in this region yielded a value of 1.07x10 * sec at 25°C. Using the values for and for of ethylenediamine in Appendix I , we get kK. = exp k 2 K b = 0.30xl0 mole' .l .sec" 5 2 2 1 (3-40) K d ] L This i s only about one-third of the value for ethylamine and related amine complexes. The silver complex of 1,3-diaminopropane has an abnormally large f i r s t stability constant (KQ-J_ 88 8.9x10"*) as can be seen in Appendix I , and there has not been reported any data on i t s second stability constant. This i s due to stabilization of 61 the mono-complex by chelation, with the r e s u l t that there i s l i t t l e tendency to add a second amine molecule to form the b i s complex. This great s t a b i l i t y of the monochelate complex i s r e f l e c t e d i n the extremely large f i r s t s t a b i l i t y constants the second s t a b i l i t y constant, so that the approximation i n v a l i d i n t h i s case. 9 presumably being very s m a l l [Ag(I)) = CAgL^J i s obviously Therefore, equation (3-41) (as i n the case of triethanolaminej, which also has a small K^£» K ^) d s must be used for the concentration of AgL (AgL ) + ( A g L ) = (Ag(I)) + + 2 + . i . e . , large Assuming (3-22) [AgL^) (AgU*" )(L) = K 12 = K where K i s the second s t a b i l i t y constant of the s i l v e r complex. Then i f ethylamine-type behaviour applies also i n t h i s case, the o v e r a l l k i n e t i c s w i l l be as follows: COl _ dt = k * JjA^jIlL dt "Vb _ fgxp_ C A R ( I ) ) (COj 2 (1+KCL))(LH+) TLH+I ( 3 4 1 ) Then k exp 85 2 k K (3-42) h b 1+K(L) K Taking the r e c i p r o c a l of k^^ >4r = 2 E ^ ( l T 7 « ) + 62 The experimental free amine concentration was f i r s t calculated assuming and on this basis the experimental results for different (L Jwere plotted as 1/k vs. 1/(L). The resulting plot, which was not quite linear but slightly concave upwards was used to obtain a rough estimate of K, which 9 in turn was used to improve the free amine concentration. This procedure was repeated to self-consistency and yielded a good linear plot of l / k p vs. l/(L) shown in Figure XVI. eX stants derived from this, using the value of kK^ = 5.1xl0 mole" -l osec" 2 2 2 The con- in Appendix I are (3-44) 1 K - 26 mole" .! (3-45) 1 This value of kK^ i s only 1/200 of the "normal" value for ethylamine, etc. (kK^ = 1.0x10^). The much lower reactivity of this complex presumably reflects blocking of the reaction site by chelation, i.e. H N —Ag — NH + 0 HoC - , H 2 CHn 2 The rate constant of ethylenediamine i s also smaller than that of ethylamine, etc., but the reduction factor i s only 1/3 in this case. Presumably this also i s attributable to chelation but in this case the chelation tendency i s much smaller than 4. 1,3-diaminopropane, because of the preference of Ag for linear coordination which, for steric reason, i s more readily realized with 1,3-diaminopropane than with ethylenediamine. This i s 63 reflected also in the corresponding stability constants of the complexes. Thus the f i r s t stability constant of ethylenediamine silver complex, while larger than that of ethylamine, i s much smaller than that of 1,3-diaminopropane. These data are summa- rized in Table 1 1 . TABLE 1 1 RATE OF DIAMINE COMPLEXES AND THEIR STABILITY CONSTANTS kKjXlO 5 _2 Log K Q 1 Log K 1 2 Log K mole 1*. Q 2 sec"* 1 CH CH NH 3.37 3.93 7.30 1 H NCH CH NH 4.62 2.92 7.54 0.3 H NCH CH CH NH 5.77 1.42 ) 3 2 2 1) 2 2 2 2 2 2 2 2 2 Results from the present study. from Appendix I. 1 0.005 7.19 ) 1 Other s t a b i l i t y constants are It i s seen that K^ and kK^ both of which should reflect 2 (inversely) the chelating tendency of the mono-complex indeed follow closely parallel trends. 1,4-diaminobutane which also has an abnormally large KQ^ value, similar to that for 1,3-diaminopropane, was expected to show the same type of behaviour as the latter. However, the rate in this case was almost independent of the amine concentration and the kinetics were similar to those for ethylamine, although the actual overall rate of reaction ( k ) * w e x p 8 almost 64 the same as for 1,3-diaminopropane (cf. Table 10). The s i g n i f i - cance of this behaviour i s not understood. GENERAL DISCUSSION A common feature of the systems examined i n the course of this study i s that i n every case CO apparently reacts with a species of the composition L-Ag-OH. The i n i t i a l reaction i n each case can be represented as L-Ag-OH + CO > L-Ag-COOH k (ii) The rate constant, k, of this process could not be measured directly, but the data yielded values of kK^. In some cases, the back reaction of ( i i ) was sufficiently fast to compete with the subsequent reaction of the intermediate, L-Ag-COOH, with another silver ion. , 1 L-Ag-OH + CO „ k -l L-Ag-COOH (ii ) 1 A l l the values of kK^ (or k^K^) for various amine complexes investigated i n this study are summarized i n Table 12, together with the values of K^ K ^ and kK^K^K^. s d The value of the latter is identical to %k p i n the case of ethylamine-type "standard" fiX amine complexes. For a l l the mono-dentate amines i t i s seen that * kK^ i s substantially independent of the nature of the amine. * Triethylamine i s the only case where the deviation of the value of kK^ from the "standard" value of 1x10^ appears to l i e outside experimental error. For this amine the values of and both of which were used for the determination of kKjj were less precise than those for the other amines; only one significant f i gure was available from the literatures. Furthermore, i n this system i t was necessary to use high (LH+} in most of the experiments so that ionic strength effects which have not been taken into account may be important. 65 TABLE 12 SUMMARY OF KINETIC AND RELATED THERMODYNAMIC DATA xlO sec" xlO mole'l" 4 2 Amine 1 xlO mole'l" xlO xlO" mole °1"2 mole°°2.l2. sec" 8 4 1 1 5 2 1 0.03 1.2 0.18 1.43 2.9 5.2 0.78 1.2 6.5 7.6 1.0 H0C H.NH 2 4 2 0.14 2.8 0.55 1.5 1.0 (C H ) NH 4.3 5.0 9.1 (HOC H ) NH 0.16 NH 3 CH NH 3 2 C H NH 2 5 2 o 2 o 5 2 2 4 2 (C H ) N 2 5 120 3 (HOC H ) N 2 4 0.36 3 16 0.10 80 5.9 460 0.5 12 1.5 H N(CH ) NH 0.4 380 4.4 2 2 2 2 3 2 2 15 46 1.6 470 3.6 0.0079 H NCH CH NH 2 0.22 18 1700 1.4 0.9 1.0 1.0 2.5 1 0.30 0.0025 The constancy of kK^ over a 2,000 fold variation of K^K^ (and hence of kK^K^K^) i s striking. The constant kK^ may be identified with the rate constant of the alternative and kinetically equivalent representation of ( i i ) , i.e., with the rate constant of the termolecular process (ii"), LAg , + CO + OH" kK = ^ L-Ag-COOH h (ii") It seems likely that K^ also i s insensitive to the nature of 66 L, and indeed probably does not differ greatly from the hydrolysis constant of the free Ag+ ion whose value i s about 2x102 mole 1~1 (11). Using this value for K^, k i s estimated to be about o - l - l 5x10* mole "l.sec . This participation of hydroxide ion in the reaction (base catalysis) accounts for the low reactivity of Ag CO i n acidic media. + toward The insensitiyeness of the reactivity of L-Ag-OU to the nature of L, suggests that the amine molecule i n L-Ag-OH i s acting only to solubilize AgOH and prevent precipitation of silver oxide. The enhancement of reactivity i n these amine-buffered systems would appear to be due mainly to the high pH, rather than to specific complexing effects. On the other hand, the rate of the back reaction of step ( i i ) and the rate and nature of the second step of the reaction do appear to vary with the nature of amine, L. This i s shown particularly by a comparison of the ammonia and triethylamine complexes. * The apparent enthalpy and entropy of activation, A H exp and A for k ^ ^ « kK^K^K^^ for "standard" amine complexes listed i n Table 6 correspond to A H exp " A s e x p - ^S* + A S + A S + A A H * + A H h + h where AH and AS A H b + A b H di (3-46) S d i (3-47) correspond to the enthalpy and entropy of activation of the bimolecular process ( i i ) and the other terms with subscripts h, b and d^ correspond to enthalpy and entropy 67 changes of the following equilibrium processes. LAgOH - A H ^ - A $ h : LAg + OH" v + b sL + H0 d ± : AgL LH + OH" - AH^ - A S v 2 (3-12') h (3-8") + b LAg + L - A H ^ - A S ^ + (3-7 ) + 2 B Few thermodynamic data relating to these processes are available. Only i n the case of ethylamine, has i t been possible to obtain f a i r l y reliable values of A H ^ , A H , A S ^ and A S using 1 1 available data (11, 12). The values of A H ^ and A H ^ thus d d9 d obtained for ethylamine are 0.7 and 6.4 Kcal. mole" and A S ^ 1 and A S ^ are -12.2 and 3.6 e.u. respectively. A H^ and A S ^ as well as that of K h The values of can be approximated to that for the free Ag ion as pointed out previously, which are e s t i + mated to be about -2 Kcal. mole" and 4 e.u., respectively. 1 Hence, the enthalpy and entropy of activation of the bimolecular process ( i i ) are estimated to be A H * ~ 9Kcal. mole" and 1 if AS n <~ -15 e.u. (the bimolecular rate constant being k ~ 5x10 mole" -I"sec" at 2 5 ° C ) . 1 1 Although reliable values for AIL^, A S d _ , etc. for other amines are not available, i t i s expected 1 •k that A H and A S & for these systems w i l l not differ greatly from those for ethylamine. Peters and McAndrew (5) have recently reported the following kinetics for the reaction of aqueous silver acetate with CO i n acetate-buffered acidic media at 90°C. and high CO pressure. 68 + k K (A )(A^OAc)(CO ) + fi 3 [Kf-) c , (3-48) and interpreted these in terms of the following mechanism, AgOAc + CO =^->AgCOOAc AgCOOAc 4- Ag(I) Ag 4- CO 4- H 0 + > Products K 2 (slow) c (rapid) AgCOOH 4- R"*~ AgCOOH 4- A g — 2 > 2Ag 4- C 0 4- H + (vi) k (rapid) + 2 AgCOOH 4- AgOAc (vii) (slow) 2Ag 4- C 0 4- HOAc 2 (viii) (ix) (slow) (x) In this case there appears to be a contribution to the reaction, not only from AgOH but also from AgOAc. The process ( v i i i ) which corresponds to ( i i ) , ( i i ) or ( i i " ) in the case of amine 8 complexes, i s faster than the subsequent steps and thus corresponds to a pre-equilibrium. Hence, i t i s not kinetically dis- tinguishable whether this i s a base-catalyzed process as in the case of amine complexes or rather an acid-inhibited process; in other wordsi whether the silver species which i s directly reactive toward CO molecule i s a hydrolyzed species, AgOH, or an unhydrolyzed ion Ag . In the case of amine-buffered solution L-Ag-OH was seen to be the only reactive species. I t i s of great interest, therefore, to see i f the contribution of unhydrolyzed Ag + i s detectable in the acetate-buffered solution. It can easily be seen that rate constants and equilibrium constants of these two processes, base-catalyzed ( i i " ) and acidinhibited ( v i i i ) are related as follows. 69 k, k K FT" = (3-49) Vw -l Suppose the base-catalyzed process ( i i " ) i s the only process contributing to equilibrium ( v i i i ) , then the kinetics observed by Peters and McAndrew requires that ko (Ag"*1 l «1 -l and hence 2 (3-50) J k k l K f a k ^ 8 ^ «i k ^ (3-51) From the data of Peters and McAndrew the value of k^K k2(Ag J/k ^ + n = + 6 —2 —1 (= k^^fAg J/K^) can be estimated to be about 10 mole »l«sec at 90°C. On the other hand the insensitiveness of the kK^ (rate constant of the base-catalyzed process ( i i " ) ) for amine complex to the nature of L over a 1,000-fold variation i n i t s basicity suggests that the reactivity of uncomplexed Ag for the same + type of process should also be close to that of amine-complexed species. * Using the value of kK^ at 25 C. and the previously determined temperature coefficient, the value of kK^ at 90°C. 5 - 2 can be estimated to be 9x10 mole not i n accord with (3-51). 2 - 1 »1 "sec . These results are This suggests that i n the case of * The value of and A are not reliable so that kK^ i s to be used for comparison. The value for A H* + ethylamine has been estimated to be 7.2 Kcal. mole" . This temperature coefficient being small and f a i r l y reliable, the resulting kKh for 90°C. i s also f a i r l y reliable. 1 70 acetate-buffered solution there may indeed be a reaction path involving direct reaction between unhydrolyzed Ag represented by ( v i i i ) . + and CO However, the rate constant of this process i s not obtainable from these data. This possibility that the unhydrolyzed Ag + ion, may also be reactive toward CO i s not altogether unexpected, since, as mentioned earlier, i t has already been found that in acidic 2+ solutions the reduction of Hg by CO proceeds through reaction with the unhydrolyzed ion (3). That such a path (i.e., OH independent) i s not observed in the case of the silver amine complex may simply be due to the high pH of the solutions, resulting in enhancement of the OH -dependent path. Another interesting result of Peters and McAndrew's work is the evidence suggesting that AgOAc i s also reactive toward CO, presumably through an intermediate complex analogous to L-Ag-COOH, i.e., Ag-COOAc. In this reaction the f i r s t step (vi) i s rate-determining with a rate constant at 90°C. e s t i mated to be -2 -1 -1 k^ = 3.6x10 mole 'l-sec . This compares with a value of 2.5x103 mole -1^ l ' s e c -1 estimated for the corresponding rate constant of L-Ag-OH toward CO, i.e., L-Ag-OH appears to be about 10"* times as reactive toward CO as AgOAc. The activation energy of the process (vi) has been determined to be 15 Kcal. mole" while that for the process ( i i ) -1 is 9 Kcal. mole 1 71 REFERENCES 1. Halpern, J., Advances in Catalysis. XI, 301 (1959) 2. Halpern, J . and Taylor, S. M., Disc. Faraday S o c , 29, 174 (1960). 3. Harkness, A. C. and Halpern, J., J . Am. Chem. S o c , 83, 1258 (1961). 4. Bauch, G., Pawlek, F. and Plieth, K., Z. Erzbergbau und Metallhutenwessen, XI, 11 (1958). 5. McAndrew, R. T. and Peters, E., X l l l t h International Congress of Pure and Applied Chemistry, Montreal, Canada, August, 1961 and unpublished results. 6. Halpern, J . and Kettle, S. F. A., Chem. Ind., 668 (1961). 7. Just, G. and Kauko, Y., Z. phisik. Chem., 82, 71 (1913). 8. Lattey,' J. Am. Chem. S o c , 1959, 29 (1907). 9. Von Georg-Maria Schwab, et a l . , Z. anorg. Chem.,, 252, 205 (1944). 10. Seidel, "Solubilities of Inorganic and Metal Organic Compounds" 3rd Edition, Vol. 1, p. 217 (1940). 11. "Stability Constants of Complex Salts", special publication of the Chemical Society. 12. "Selected Values of Chemical Thermodynamic Properties", U.S. Bureau of Standards circulation. 72 APPENDIX I SELECTED THERMODYNAMIC PROPERTIES OF AMINES AND SILVER-AMINE COMPLEXES *2 Stability Constants* *1 pKa Amine LogK-^ LogK NH *6 9.25 (9.09) CH-NH- LogK 12 *4 3 l xlO d xlO 2 4 4 1.2 3.31 (3.24) 3.92 (3.81) 7.23 (7.05) 10.72 3.15 3.53 6.68 5.2 2.9 10.81 3.37 3.93 7.30 6.5 1.2 (C H ) NH 10.96 3.06 3.30 6.36 9.1 5.0 (C H ) N 10.77 2.6 2.1 4.76 5.9 HOC H NH 9.74 3.13 3.55 6.68 0.55 (HOC H ) NH 9.00 2.69 2.79 5.48 0.10 (HOC H ) N 7.90 2.30 1.34 3.64 7.9xl0" H NCH CH NH 2 10.18 4.62 2.92 7.54 1.5 12 H N(CH ) NH 2 10.64 5.77 1.42* 4.4 380 H N(CH ) NH 2 10.82 5.9 3 C H NH 2 5 2 5 2 2 5 3 2 4 2 2 2 2 4 2 2 2 4 2 2 3 2 2 2 3 4 *1 (L) (H*"] / (LH+) - K *3 (AgL )/(Ag )(L) = K *4 (AgL^(L)/(AgL tl - K + 5 0.174 (0.182) 7.19* 5 *2 + 2 2.8 16 460 3 (LH+nOH-VCL) = K (AgL +J/(Ag L)CL3 - K , 2 Q 1 > 80 6.6 a + (1.5) 12 K b - K^-K^ Q2 d i These data are from "Stability Constants of Complex Salts", special publication of the Chemical Society, corrected, where necessary, to 25°C. using the known temperature coefficient for Ag(NH C H5)2"*" (d log K / d t - d log K /dt - -0.016 2 m 19 2 73 * 5 Estimated from the result of the present work (cf, p. 62). * 6 Values i n parentheses are for 30°C,
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