APPROVAL SllEET Title of Dissertation: The Kinetic s a nd Mechani s m of Sedimentary Iron Sulfide Formation Name of Cand idat e : Alb e rt Doctor Dissertation a nd Abs t ract Approved. Dr. Sheldon E . Somm e r Associate Profe ss or Department of Ge olo gy Da tc Approved :~ /t}1 J1'7t.{ THE KINETI CS AND MECHANI SM OF SEDIMENTARY IRON SULFIDE FORMATION by Albe r t John Pyzik Di ssertation submitted to the Faculty of th e Graduate Sc hool of the Univer si ty of Maryland in partial fulfillment of th e r equir ement s for the degree of Docto r of Philo sophy 1 976 ABSTRACT Title of Diss e rtation: The Kinetics and Mechani s m of Sedimentary Iron Sulfid e Formation Albert John Pyzik, Doctor of Philo s ophy, 1976 Di s sertation directed by: Dr. Sheldon E. Sommer As s ociate Professor Department of Geolo gy The reaction between goethit e , a-FeOOH, and aqueous bisulfide ion, HS-, was s tudied under conditions repre s en - tative of estuarine sediment s . Th e conc e ntration-tim e curves of the following s pecie s were det e rmined by s pectra - photometric method s : total s ulfide , di s solve d s ulfid e , precipitated sulfide, thiosulfate ion, s ulfit e ion, e lem ental sulfur, and di s solved ( 13 was us ed to approximate natural limonite. Again g oe thit e produced a more crystalline FeS. Pyrite, marcasite and elemental sulfur were found only when an oxidizing agent such as air or ferric iron was present. This should not be unexpected, since an oxidizing agent would be needed to oxidize sulfide sulfur to e l emental sulfur. Elemental sulfur reacted rapidly with dissolved sulfide to form polysulfides (Teder, 1971). The sulfur in pyrite and marcasite is in a mixed oxidation state; both the zero and the plus two s tates are present. s2 is a poly- sulfide and hence would require the presence of elemental sulfur to form. Results (Berner, 1964aj also indicate that the type of iron source material is important in controlling the nature of the product sulfide. The use of dissolved ferrous .,, , , ?l iron promoted rapid reaction and the formation of an amorph - .,. (, ., :1 ous precipitate. The use of iron metal resulted in a slower ::J ,,, :j reaction and a more crystalline product. :, ?I Unfortunately, there are several experimental factors ! which make the results of questionable applicability to sedimentary environments. In many runs, the temperatur e ex- ceeded 35?c and the pH wa s either 4 or 9. These concli tions lie outside the limits of temperature (<30?c) and pH values (6.9 to 8.3) of reducing marine and estuarine sediments. Also, most reactions were conducted in unbuffered solutions? ' the recorded pH values were the final pH values. Ther e was no indication of the range of pH va lues over which the 14 solutions might have varied. In some experimental runs, a small air space was left i n the reaction vess e l which would have allowed volatilization of hydrogen s ulfide from the solution phase into the gas phase . This would have bee n particularly important in reactions below pH 7 where molec- ular hydrogen sulfide is the stable species. More import- antl? the presence of air resulted in the oxidation of sulfide to elemental sulfur and the subsequent formation of polysulfides. Air would not be present in reducing sedi- ments since oxygen is a poison to s ulfate reducing bacteria. The goal of this study was to det ermine the important con - ditions in the formation of iron sulfides and the identifi- cation of those products. No attempts were made to d e termine the kinetics and the mechanisms of the reaction. ..~ ?i Roberts e t al. (1969) also s tressed th e importance ?,I I of elemental sulfur in their study of pyrite formation. ' , ( ,,I .. I Sulfur was produced in situ by the oxidation of hydro ge n ,,j ,,, sulfide by ferric iron. Pyrite was synthesized by the re- ?:'l .,, action of goethite and molecular hydro ge n sulfide at zsoc. I I The results indicated two mechani s ms for the formation of pyrite: (1) the reaction of ferrous iron with the disulfide ion cs=) and (2) the s ulfidi za tion of FeS with e l emental 2 s ulfur . The latter reaction wa s much s lower than the former. Several factors cast doubt upon their conclusions and the applicability to sedimentary environment s . The pr esence of oxygen could have changed the reaction mec hani s ms . This is exemplified by the difference in the reaction product s 15 that were observed in the reactions where all conditions except the addition or exclusion were the same. Little control was exercised over the pH of the reactions . Only a few pH values were listed. A great deal of emphasis was placed on the existence and importance of the disulfide ion. Studies of the equilibrium distribution of polysulfides (Schwarzenbach and Fischer, 1960; Teder, 1971; Giggenbach ' 19 7 2) showed that the disulfide ion would be stab 1 e only at extremely high pH levels. Rickard (1969a) used a "qualitative semi-kinetic approach'' to determine the mechanism of formation of the various iron sulfides from aqueous solutions at low tempera- ture and pressure . This information was then used to define the physico-chemical conditions necessary for the formation of each iron sulfide. Results indicated that the mineral s ., 1 may be used as indicators of the conditions in the environ - : , I ',,I I ment. However, this is subject to limitations since several ,,, ,., conditions may permit the formation of a few iron s ulfides. :J '.,J The following iron phases were used as reactant s : l ferrous carbonate, ferrous sulfate and synthetic goethite. Reactant sulfide phases were sodium s ulfide, s odium poly- sulfide, and sodium thiosulfate. Th e solutions were not bufferred and the pH values g iven were tho se measured at the end of the experiment. Previous work by Berner (1964a) showed that the pH of the s olution affects th e product iron sulfides. h 16 Reactio n s of ferrous carbonate with sodium sulfide s olutions at pH 6-10 produced smythite, with minor amounts of mackinawite. This was the only circumstance in which the rhombohedral Fe 3s4 wa s produced. At lower pH values, the ferrous carbonate dissolved and mackinawite was formed. Rickard thus concluded that the preexistence of siderit e (Feco ) was necessary for the formation of smythite. A 3 comparison of the diffraction patterns of s mythite and siderite (Table 1) revealed a close similarity of the inter- planar distances of the two minerals. This similarity could hav e caused the epitaxial growth of smythite on the surface of siderite particles. Natural occurences of smythite do not indicate a siderite precursor. Mackinawite was produced by the reaction of ferrous sulfate and sodium sulfide at pH 6.5 to 11.7 and also syn- thetic goethite and sodium sulfide at pH 7.0 to 9.0. This mackinawite contained adsorbed or coprecipitated sulfide as shown by c h emical analysis. The Fe:S ratio was 1:1.1. When thi s materi al was dried a nd heated at 70 0 C, grei g ite was formed. At lower pH values, the reaction of ferrou s sulfate a nd sodi um sulfide produced greigite. This indicated to the author that there was a mackinawite to greigit e tran s - formation which was pH dependent. pH value s of ano x ic sedi- ments are such that greigite s hould not form. The u s e of lower pH values for the goethite reaction resulted in the formation of su l fur, rnarca s ite and pyrite. A check of the Eh-pl! diagram for the five s pe c ie s indicat e d tli at el e mental 17 Table 1 List of cl-spacings (in A) for Smythite and Side rit e Siderite Smythite 11. 6 5.75 3.59 3.82 3.00, 2.96 2.79 2.86, 2. 8 3, 2.75 2. 56 2.56 2.35 2.45, 2.29, 2. 26 2.13 2.16 1. 96 1.979 1.897 1.795 ; ?~t 1. 734 1.732 ~~ 1?1 1.687, 1. 6 7 2 j 1.527 1.577, 1.546 :?~, 1.426 1.435, 1. 427 '2 1. 395 .: i 1. 354 1.351 ., 1.306 .., 1.281 1. 28 ,,,: I 1.258 1. 25 ' 1.229 :l' 1 . 1 5 , 1.10 ., 1. 06 :,,:,J ., '! Siderite: Data from ASTM Powd e r Diffraction File Card 8-133. a 0 == 5.796 'A Smythite: Data from Erd, Evan s , a nd Richt e r (1957) a == 3.465 'A, c == 34.34 'A 0 ;;>;::::, c ::se:c......::::-,;,.--..--..? . .._ _._ _________ _ 18 sulfur is a stable species at lower pH values. Pyrite, marcasite and sulfur were produced by the reaction of sodium polysulfide with ferrous sulfate, s yn- thetic goethite and mackinawite a t sedimentary pH value s . This supported Rickard's major conclusion that the sulfur bearing phase was important in controlling the nature of the iron sulfide product. This was concluded because only ferrous iron was used as a reactant. This contention was made in spite of the fact that goethite was one of th e re- actants. Ferric iron is present in goethite. The pyrite:marcasite product ratio was found to b e a function of pH. At pH 4.4, marcasite wa s a major product, but the ratio decreased as the pH increa s ed, until at pH 9.S no marcasite was observed . The variation in the product ..- ~~ ratio was ascribed to the different mechanisms of f ormation ., ?1 for the two minerals. Pyrite was believed to form by th e 1 I "'I direct precipitation reaction betwe e n (1) dissolved ferrou s :! iron and polysulfide ions or (2) mackinawite and poly s ulfide. ?,;.;, ,, j The formation of marcasite involved a s olid stat e ox idation I reaction between sulfur and a preex i s ting iron sulfide. This last reaction was slow at low t emperature and h e nce marcasite would not be found in recent ano x ic sediments. Pyrrhotite was not observed in any of the se experiments. These reactions were conducted with rigorou s ex- clusion of air to prevent error s in int e rpretation du e to unknown side effects from air ox ida tion. How e v e r, no s u c h 19 precautions were taken with respect to the pH of t h e solu- tions. In anoxic sediments, the pH of the interstitial water ranges from 6.9 to 8.3 (B e n Yaakov, 197 3 ) due to the buffer ing s ys tem s in the water. The se expe rim ent s by Rickard we re conducted in unbuffere d s olutions to pr e ve nt the possibility of reactions between th e precipitates and th e buffer components. Thus the pH of the solutions might have changed considerably, particularly in those ex per im ent s 1n which goethite was used as a reactant. The ferr i c iro n 1n goethite would have oxidized the hydro ge n s ulfide to either elemental sulfur or s ulfur oxyz nion s . Thi s would have produced consi750 mv, < pH 2 ; Hem, 1960) is incompatible with the reaction conditions u s ed by Rickard (1974; pH 7-9 and Eh <- 100 mv). Conditions in an- oxic sediments, pH 6.9-8.3 and Eh <- 100 mv are also incom- patible with the existence of dissolved ferric iron. Thus the dissolution step is more likely to be preceded by th e reduction of iron. Thermodynamically, ferrous ions are more stable then ferric ions at the pH and Eh conditions found 1n anoxic sediments. However, Rickard proposed that th e s econd s t e p in the mechanism of iron sulfide formation involved the reduc - tion of ferric iron by sulfide ion which was then followed by the precipitation of the iron monosulfide. Fe+ 3 0 + 3/2 s= + FeS + 1/16 S8 This work (Rickard, 1974) r e sulted in a rat e expre ss ion a nd rate constant. The proposed mechanism had insuffici e nt verification since the dissolved products, intermediates ' and elementary step were not identi f ied. The solid product s were studied and characteriz ed, but the s olution product s were not identified. Yet a study of the dissolved reaction products could give more detailed information about the mechanism and the rate of the reaction. Thi s i s true be- cause the sulfide oxidation product s are ea s ier to identify than are the solid product s . Dissolved s pecies a re not af- f ected by the problem of s mall grain s i ze or that o f poor crystallinity. In addition, th e c oncentrations of th e 26 d i ss olved species are easier to measure . Studies of the ox idation of s ulfide solutions by oxygen (Chen and Morris, 1972; Cline and Richards, 1969; O'Brien, 1974) have shown that severa l sulfur species were produced by the sulfide-oxygen reaction. Sulfate was the thermodynamically s table s ulfur ox idation produc t, but ele- mental sulfur, polysulfides, thio sulfat e and s ul fite were also produced a nd persisted at sedim entary conditions for varying periods of time. Similar studies of the fe rric iron- sulfide system are not available. The reaction order for each spec i es in the rate ex - pr ess ion was de termined by maintaining the concentrations of all other species in the reaction constant except the one to be s tudi ed. The rate of the reaction wa s followed by the change in the pH. pH changes of 0.1 to 0 .4 pH unit s were .?.? observed. Yet hydro ge n ion wa s one of the species in the ,,,, rate expression and as such s hould have been kept constant. j Thi s variation in the pH might have affected the reaction order of the other species. Mor e l ike ly, the rate con s t ant would have been altered. In addition, the experiment s were conducted at relative ly high total s ulfide concentrations (0.05-0.5 M). This i s 10 to 100 times th e max imum concentra- tion of total s ulfide that could be expected in nat ure . Thi s could conceivably have altered the rate of the reactio n by changing the texture of the product. Ri ckard noted t hi s in an earlier study (1969a). Future s tudies s hould be con- Juct e 8 Fe+ 2 s= ' M initial G M M M 3 month s G G G,M M M M 6 months G G G M s= ,I Goethit e, .P ,, : M .. , initial S,MS,P M M M :i ',. 3 months MS,P MS,P,M MS,P,M M 6 months MS,P MS,P MS,P P,MS .? ' Fe+ 2 s= P,MS,S P,MS ,S P,MS ,S P,MS ,S ' X s s s s s ...,. Goethite, sx j ' M, s= P,MS X Fe concentration: 0.05-1 M S concentration range: 0.05 - 1.8 M G grei gite MS = marca s it e M = mackinawite s = s ulfur p = pyrite s: = poly s ulfides A 30 EXPERIMENTAL A mechanism of iron sulfide formation requires the identification of the solid and dissolved product s of the reaction between ferric oxyhydroxides and aqueous bi s u l fide ion. In order to accomplish this, several s eri es of experi- ments were conduct ed. Goethite and poorly crystalline goethite were reacted with aqueo us bisulfide ion (0.002-0.09 M) to determine the kinetics of tl1e initial sulfide ox idatio n products under the fo llowing conditions : pH 7.0-8.0, Fetotal = 0.8-5.6 x 10 -3 , JJ = 0.295 (salinity 24-25 o / ), 00 temperature= 25 .0 ?0.2?C. These values are r e pre sentative of typical estuarin e concli tions. A. Preparat ion of Reactant Iron Min e ral s '' 1. Coethi te ,..i Syn thetic goethite (a-F e OOH) wa s pr epar e d by th e l ' alkali n e hydrol ysis of ferric nitrate s olutions (Atkins on et a l., 1968). Ferric nitrate nonohydrate wa s di ss olved in distilled water fol low ed by the additio n of 2 . 5 M NaOH to g ive a hy dro x id e :iron ratio between zero a nd two. The s olu- tion was n e x t hydro l yzed at room t emperatur e for 50 hour s . Conc entrated NaOH wa s added until the pH wa s g reater than 10.6. The red brown s u spens ion was a ge d in polyethyl e n e bottles for 80 hours at 60?C. Aft e r a geing , th e sampl es were centrifuged at 2100 RPM for 52 minut es and wa s h e d with 31 distilled water until a n ega tive reaction with AgN0 3 was obtained. Samples were suspended in di sti lled water and store d 1n po l yet hyle n e bottles. The size of the particle s wa s determined by tran s mi s- si on electron microscopy. Hi g h initial hydro x i d e :iron ratios produced s mall lath-like particle s (630xl60 A) while larger partic l es (5100x840 A) were produced by low hydroxide:iron ratios. The surface areas of these particles were found to be 66 and 12 m2/g, respectively. Both sample s gave electron and x-ray diffractio n patt ern s corresponding to goethit e, alt hou gh not all reflections were observed for both sampl es. J , r' The amount of FeOOH in s u s pens ion was determined by drying ;/ ~' ,I :;: aliquots of the suspension at 90?-l00?C for 24 hour s. 2. Amorphous Fe(OH) 3 Poorly crystalline Fe(OH) 3 was prepared by dropwise ' ~ ,;' ' addition of 2 M KOH to 2M FeC1 3 with constant stirr ing, un - ' ' = ) til pH 7 was reached (Landa and Gast, 1973). The pH was monitor ed by a glass electrode r eferred agai nst a s ingle junction reference electrode. The brown-red pr ecipitate wa s centrifuged and washed with distilled wat er until a n egative chlor ide te s t was achieved. X-ray diffraction pat - tern s (Cr Ka radiation) showed no peaks. Electron diffrac- tion patterns s howed two broad, weak lines which were attribu- ted to (021) and (002) reflections of goethite. Th e particle s ize wa s 150 A, and the surface area 13 3 m2/g. 32 B. Electrode Measur ements All pH measurements wer e made with a Ag -AgCl low sodium error glass electrode. This wa s referenced a gains t a double junction reference electrode with a 10 % KNo 3 outer filling solution, or a single junction reference el e ctrode with a saturated KCl-agar salt bridge. The glas s el e ctrode was calibrated and the slope was checked prior to each mea- surement with pH 7 and pH 10 buffers. The experimental slope s ranged from 95% to 100% of the theoretical slope of 59.16 mv (at 25?c). The Eh was measured with a platinum bill e t e lec - trode referenced against a doubl e junction reference el e ctrode . The Pt electrode was calibrated with fresh Zobell solution at +0.430 mv (Parks, 1968). The pS was measured with an Orion Ag -AgS el ec trod e . All measurements were made with an Orion 1 701 di gital pH I:~'' ?~ ,i? meter and a #605 el e ctrode switching box . ' " ,. ,t C. Reagent s ::i 1:1 I I' : :1 ,:' All solutions were prepared from reagent grad e chemi- cals. The solutions were prepared with distill e d water ex - cept the sulfide stock solutions. The s e wer e pr e par e d with distilled water which was deoxygenat ed by bubbling with nitro- gen gas for 8-12 hours. Stock sulfide s olutions we r e pr e- pared by flushing a glass stopper ed fla s k with Nz f or several minutes. The crys talline sodium sul f ide monohydr a t e was rinsed with distilled deoxygena ted wat e r, to r emov e ox 1? o1. e coatings, and wip ed dry with Kimwip es . Th e necess ary we i ght 33 was dissolved in distilled, deoxygenated water , made to volume, and used within one hour of preparation. Tests for polysulfide s , thiosulfate, and sulfite of the s tock s ulfide solution were negative. D. Dissolved Reaction Products 1. Reaction vessel The studies of the oxidation products were conducted 1n a 0.5 liter plexiglas cylinder (Figure 2). (Th e int e rior 2 surface area with the piston in, i s 426 cm .) The cylinder was sealed at top and bottom with plexiglas sheeting. Th e top had holes for a thermometer, gas bubbling tube, two sampling ports, and a glass pisto11. The piston permitted ,,? the removal of a sample without the introduction of a gas phase to the chamber. The plexiglas bubbling and sampling tubes were sea l e d ,:,1? ,. to the top lid with methylene chloride. The g lass thermo- .:.' meter and piston barrel were sealed to the lid with General ::; 1,:,1 : :I Electric silicone cement. A gastight seal wa s mad e betwee n r the piston and the barrel with silicone stopcock grease . The reaction vessel was maintained a t 25.0?0.zoc by means of a thermostated water jacke t. All solutions wer e stirred with a glass stirring bar at constant rate for th e duration of the run. (Private communicati on with R. Berner indicated that sulfide could diffuse through Teflon and Tef lon coa t ed s t irr ing? b ) react with the ma gnet of a ar . The top of the reaction vesse l wa s co vered with pl ast i c 34 Electrode pH Meter ' ' Thermometer 'V pH Electrode > I Plastic , Glove --) ? I I Bag :, Nz ; Water . --...,.. -- Out Water~ 0 In , , ,,, ' " 1:: I? :J ? I..' ,,,,., , .. : ~ :i ,:1 Stirring Plat e Figure 2 Schematic Diagram of Re a c tion Ve sse l 35 g lov e ba gs and flus hed with n itrogen . Thi s provided an iner t atmosp he r e for sampling . 2 . Reaction medium The reaction was conducted in a buffer r ed sa line s olution with a n ionic strength of 0 . 295?0.005. Sodium c hloride was u se d to ad just the ionic strengt h. (The sal i- nity vari ed fro m 23 . 8 ?/ 00 at pH 7. 45 to 24.9 ?/ 00 at pH 8.55.) Palit zsc h bor ax -bo rate buffer (H a rvey, 1955) was used to maint a in essenti a lly constant pH fro m 7.45-8.55. Th e buffer capacity of th e medi um was determined experi ment - al l y, and found to r a nge fro m 1.50 mM/0.1 pH unit s at pH .,.,?. ,,.::, 7 . 6 O to 4 . O8 mM / 0 . 1 p I-I uni t s at p I-! 8 . 5 0 . More ex t en s i v e ,, .~? ;,i :..1 data on th e medium i s li sted 1n Table 3 . 3. Proc edure s The re action vesse l was wa s he d with dilute nitri c ac i d , rinsed with disti ll ed water a nd dried. Appropr i ate volumes o f buffer , so dium c hlo ride s olution, di s till e d water, :1 a nd ace tic acid were pipetted into t h e reaction ve ss e l a nd .,' bubbled with puri f ied nitro ge n f or 8 - 1 2 hour s prior to addition of s tock s ul fide so lution. Next, s ul fide s o luti on was a dded to gi ve the desired total s ul fide co ncentration (1-5 x 10 -3 M) . The s= , pol ysu lfide, t h ios ul fate and s ul fit e co ncentrations and pH were determined. (Th e s ulfit e te s t was l a t er di sc ontinu e d du e to ear l y negative re s ult s .) Af t er 30 - 6 0 minut es , an aq ueou s s u s pe ns ion of a r e actant iron s p ec i es wa s ad ded and mi xe d for 5 - 10 mi nut es . Th e 36 Table 3 Palitzsch Borax - Borate Buffers Borax solution= 19.108 g Na2B407 ? 10 H2o / 1 Boric acid solution= 12.404 g H3Bo 3 + 2.925 g NaCl/ 1 ionic ml ml strength @ Borax solution Boric acid s olution pH 25?C jJ 50 50 8.48 0.075 45 55 8.38 0.072 40 60 8.28 0.0 70 35 65 8.17 0.067 30 70 8.05 0.065 25 75 7.92 0.063 ,. 20 80 7.76 0.060 .. 1, :1 I' 15 85 7. 58 ,, 0.05 7 10 90 7.34 0.055 ,,, :i ,:,1 - 37 first sample was taken after 15-30 minutes and at regular intervals for generally 24 hours. The sample was extruded into a syringe barrel. The I-I was measured and total sulfide was determineu1. ? Ne xt, P 0.2 ml was filtered through a 0.2? Nuclepore filter, and the solid was analyzed for precipitated sulfide. (Precipi- tated sulfide refers to adsorbed or reactant sulfide.) Ap- proximately 3 ml was removed, placed in UV cuvettes and centrifuged at 2100 RPM for 15 minutes. This procedure re- moved particles larger than 1000 A. The UV spectra of the centrifuged solutions were recorded form 470-230 nm. In ??' several runs, the UV spectrum was recorded after filterina .:,i .;.ib . 1:..1'. ?1 ?1 through the 0.1? filter, but it was found that the filtering ;J. ?'.I ? ' process resulted in loss of solution sulfide. Solution sulfide refers to dissolved sulfide and sulfide from? par t?1 c 1 es "",,, ,;J, smal l er than 1000 A. The supernatant liquid was sampled for ,, :? solution sulfide. Approximately 3-6 ml of suspension was ~ filtered through a 0.1? filter. 0.1 M Znc1 2 was added to the filtrate to precipitates= as ZnS (0.1 ml Znc1 2 ; ml sample). The filtered solid was refluxed for 30 minutes with 25 ml of acetone to extract elemental sulfur. This suspension was set aside, shaken after 30 minutes and fil- tered throuao h a o.2? filter. The filtrate was analyzed f: or thiosulfate, sulfite, and dissolved iron. A flow chart of the analytical procedure is shown in Figure 3. 38 Figure 3 Flow Chart of Analytical Procedures 0.2 ml filtered ( pH measurement ) 0 .1 ml analyzed for s= through O. 2 ? T filter and ex tracted for s=p I 1 \ 3 ml centrifuged for 'v5 ml filtered 15 min @ 2100 RPM through O. 1 ? t / filter UV spectra from 470 - 260 nm for Sx filtrate treated filter extracted with 0.1 ml with 25 ml acetone t ZnC 1 2 / 1.0 ml for 30 min for s 0 0.2 ml of filtrate s upernatant for Sc t resulting suspe nsio n filtered through 0.2? filter after 30 min J t ., ST = total s ulfide= solution and acid extractable s olid " J s ulfide SC so lution sulfide S~ = acid extractable so lid s ul fide S 0 = ace tone extractab l e elemental s ulfur Sz03 = thio s ul fate ion = dissolved iron ( < ?.:i 0.8 ? ? ? ? ? 'tJ ?r-1 u - ~ - - .. 3.2 2 . 4 ,--, ~ E '--' 1.6 L Red Fe 0 . 8 0 . 0 -=-_........._ _ _,__--1._ _. .___ _J___ _.__-1.._ _L __..J..__ __l..__--1.._ __JL__..L__ _j__ _j__ __J 0 200 400 600 800 1000 1200 1 400 Time (m in) Figure 16: Plot of Reduced Iron and Ac id Extractable Sulfide, S~, vs. Time (Run 24) '-J u, 76 .? 'l,j '-.. ,---, (1) eL, 10-6 'l,j (1) ~ 'D 10-7 i----~-_.._....__.__._.._._.....L.Ji-__ _ _L._ _L_.L-...L-..L-L....L.....1-...1 10-3 10 - 2 10 - 1 Sr. (M) 1 Fi gur e 17: Plot of Rat e 0 ? Fe Re du c tion vs . ST. 1 77 ,....., ~ ?r-1 E:: ......... :2 '--' .? 'U 10- 6 ......... ,-, (l) ?.. 'U t (l) .0__::_: , 'U Figure 18 : Plot of Rat e of Iron Redu c tion vs . Initial Hydro ge n Ion Conce ntr a tion 78 r-, ~ ?rl E; '--- ~ '--' .? 'D '--- f (1) r..r... 10 - 6 'D (1) 0::: '--' 'U 10 - 7 L- --'-- -l-- -'-_._-'-L--L-1-l_ ___ i,__ _L_J__.J_j_LJ_..J_J 1 10 100 A- 2 Fe OOJ-I. (m /l ) 1 Fi gure 1 9 : Pl ot of Ra t e of Re du c ti on of Fe v s . I nitia l Co e t l1 i t e Sur f ace Ar ea 79 Table 5 Rate of Reduction During Pha se II (Ra te of Dissolution) 49 d[Red Fe ]/dt = kred [HS- ] i 60 (H+)f Aft~gOH . =mt+ b 1 Correlation Coef fici ent Run rn b kr ecl r 6 1.10 10- 7 6.50 X 10- 4 2.68 X 10- 3 . 7 2 X 10- 7 10- 4 2 .04 10- 2 7 5. 30 1.40 X X .96 X 7 4 3 .75* 9 6.25 X 10- 6.50 X 10- 4.02 X 10 - 6 10-4 4.37 2 17 1. 40 10- 1. 40 X X 10 - * * .99 X 7 5.90 10- 4 6 2 2 10- 1. X 10 - .99 21 3.07 X X 7 4 2 .97 22 6.50 X 10 ~ 3 . 90 X 10 - 1. 84 X 10 - 6 10- 4 10 - 2 10- 6.00 X 1. 69 X . 98 24 1. 50 X 6 4 2 25 1. 09 X 10- 2.86 X 10 - 1. 98 X 10 - .96 6 4 28 1. 03 10- 5.25 X 10 - 1. 66 2 X 10- . 96 X 6 10- 4 10- 6.90 X 1. 64 10- 2 X .98 29 2.18 X 7 4 2 . 97 30 8 .49 X 10- 9.30 X 10 - 1. 68 X 10 - 6 10 - 4 10 - 2 10 - 5.50 1. 73 X . 96 31 1. 88 X X 6 4 10- 4. 70 V 10 - 2.05 X 10 - 2 .4 2* 3 2 1. 78 X " 6 4 2 33 1. 48 X 10 - 3 . 28 10 - 1. 99 X 10 - . 96 X 4 2 34 7.50 X 10- 7 6. 70 10 - 1.1 2 X 10 - . 79* X 7 10- 4 1. 24 10 - 2 35 6.69 X 10 - 6 . 70 . 89 X X 36 Not De t ermined *not s tatistically s i gni f i cant **discarded 80 Visual examination of th e plots of e l ectron transfer balance against time, revealed that the data point s were more likely to be fitted by a quadratic curve. (See Figures 15, 16, 20.) The curves through the se point s were determined by a lea s t squares polynomial fit. However, when th e initial s lopes were used to determine the c oefficient s for the rate expression, no significant linear fit was obtained. As a result, the obviously polynomial curves wer e analyzed with the reactions responsible for the generation of this dat a . It was noted that the initial electron balance me as ur eme nt s ( taken at times less than 40 minut es ) were in some reaction runs, as much as 30 % of the final e l ect ron balance meas ur e- ment s . Ther e fore, the polynomial curve was int erp r eted as resulting from a two s tep reduction r eac tion 1 which is graphi- ca lly represented in Figure 21 . In the first step of the reaction, Phas e I, the rapid r e duction of surface iron occur s . This is indicated by the lar ge initial s lop e o f th e c urve at In the second s tep, Phase II, th e und e rlyin g time zero. layers of the ferric iron are reduc ed as the s urface layer of ferrous ions is di sso lved. Thus the r ate of r eduction in Phas e II is actually controlled by the rate of dissolution of the reduced s urface layer s , and the rate of reduction during Phase II gives the rat e of dissolution. The rate of the initial s urface reduction of iron in Phase I i s difficult to assess because of the rapidity of the reaction, and the in s uffici ent number of data point s during the first 30 minute s. Additional studi es, how ever, 3 . 2 2.4 Red Fe ,--... ~ E; '--' 1. 6 Sp 0 . 8 o. o---_._---'.___ _,_ _____ '---.......L...----1--...,1_--1_ _. .J__ ___,J_ _. ...1__----1._ _. J__ __._ _. 1__ _J 0 200 400 600 800 1 000 1200 1 400 Time (m in ) 00 Figur e 20 : P l o t of Reduced Iron and Acid Ex tractab le Sulfide, S~, vs. Time (Run 31 ) f--1 82 ------ - - - -----------------------, Initi a l Re du c t io n Re duc tion and Rat e Di ss olution Pha se II Re du- c-ib-l e- T-r-o-n- L-j-rn-jt = - ? --~> 11 ?--- ---- P 11 J s (' 1 r Phase I Fi gure 21 : Ide a li ze d RcJu ct i o n - ili ssolution Curve 83 may be able to determine the rate expre ss ion and rat e c on - s tant for the r eduction process. Any postulated mechanism for the reduction reaction must explain the rate expression, s ulfide oxidation product s ' and variation 1n the products with respect to initial con- ditions. Two basic approaches can be used to develop a mechanism: the rate determining step approach, or the st e ady s tate hypothesis (Edwards et al., 1968). In thi s s tudy the former was adopted, since data by Rickard (1974) indicated that a rate determining step might have been involved in the reaction. Any complex chemical reaction proceeds by a mechani sm of several elementary steps. The overall rate of the reac- tion is determined by the rate of the s lowest s tep, th e rate determining step. At this point it is necessary to clarify thre e con - Order 1s an order molecularity and stoichiometry. cepts: ' experimentally determined value in the rate expre s sion, whil e molecularity is the number of reacting specie s or mol ecul es involved in the formation of the activated c ompl ex (Pilling , 1975). Stoichiometry is the value of the coeffici ent s in the reaction. These three quantitie s mayormay not have the s ame numerical value, depending on the r eaction. The redox reaction between FeOOH and aqueou s sulfide s pecies required the approach of reduc ed s ulfide s pec i e s to the s urface of the goethite, wh er e the e lectron tr a ns f e r can occur. The rate of approach and d i s t a nce from the 84 s urface are affect ed by the surface char ge of the s o l id and po ss ibly by physical and chemical adsorption (Reynold s a nd Lurn r y, 1966). The surface of an ox ide or oxyhydrox ide has a s urface charge as a result of the interaction of the s ur- fa c e oxygen atoms with water in the bulk s olution. Ba s i cally, the mechanism for this reaction involves the protona tion and deprotonation of surface ad s orption s ites (P a rks a nd De Bruyn, 1962). The surface charge is a function of pH , a nd the pH at which the surface charge i s zero i s c a ll e d the ze ro point of cha rge. However, when H+ and OH - a r e the potential de termining ions, this pH i s call ed the i s oe l ec tri c point (IEP) (Berner, 1970). The double layer consi s t s essentially of a c ha rge d s urface layer of pot ential determining ions , a nd a layer of oppo s itely charged counterions in s olution pa ra lle l to the s urface of the s olid. This layer of mobil e count er i ons i s ca lled the Gouy layer . The thickness of the Gouy l ayer i s a ffected by the ionic strength and s tirring of the so lution. An increase in either or both of these f ac tor s will r educe the thickness of the Gouy layer. The c ompo s ition of both the Helmholtz laye r of potential determining ions a nd the Gouy layer of counterions c an change in res ponse t o cha nges 1n the composition of the bulk s olution (B erner, 1 97 1). Physica l and chemical ad s or ption may a l s o affec t t he rate of electron tr ans fe r acro ss the s ol i d -so lut i on i nt erface 85 a-Fe o ha s been shown to chemi s orb HzS from the gas phase 2 3 resulting in the formation of HS- and H+ (Blyholde n a nd Richardson, 1962). No similar studies have been conduct ed on the H S- goethite sys tem, but r esult s by Gast et al. c1974 ) 2 s howed that goethit e hydrogen bonds the first layer of ad- sorbed water to the surface . This hydrogen bonding wa s s hown to be s tronger than observed in a-Fe 2o3 . The adsorbed water on goethite was also shown to be readily exc hanged With DzO. The physica l adsorption of ions is dependent on the charges of the ions and the surface of the particl es . As s hown above, the surface of goe thit e is ne ga tively charged Therefore, the phy s ical ads orption of water above p rJ1 6 ? 7 ? is hindered above pH 6.7 by coulombic interaction. Below the IEP however, the surface is positively charged and physi - conse quently reduction cal adsorption s hould be rapid would be rapid if the adsorption of HS- were the rate deter- mining step in the reaction. The rapid adsorption of HS - be low the I EP was demon - s tr at e d in react ion runs 11 a nd 1 2 ' where Fe ( 0 H) 3 was us e cl 5 a s the reactant iron phase. The IEP for Fe(OH) 3 is s. (Parks, ). Results for the se two runs s how ed that the 196 8 formation of iron s ulfide wa s essentially c ompl ete within 8 5 the first 30 minutes even at pH ? ? A comparison of reaction run 11 with one of comp arabl e conditions with goethi te as a reactant (run 6) shows a drama - t1?c d" te of iron s ul fide format1? 011 . At 1fference in t 1 e ra 86 30 minutes, 1.48 mM of FeS wa s produced in reac tion run ll (pH= 7.58) while in run 6 (pH= 7 . 554), only 0.02 mM of FeS wa s produced (extrapolated from Fi gure 15) . Al t hough there is a difference between the surfac e a r eas of th e r e- 2 actant iron phases (6 . 5 m2/l in run 6, and 14 m /l in run 11), this difference in initial surfac e a rea could only ac - count for 1% of the difference in the amount of Fe S produc e d . This would then indicate that the rapid adsorption of HS - in the cas e of run 11, with a pH below . the IEP do es occur of Fe(OH) . Adsorption of HS- does occur above th e IEP of 3 goe thite, but to a less er ex tent than it would be low th e I EP . The r eduction of haematit e would al s o be exp ec t ed t o oc cur rapidly, since the IEP for haematit e i s 8.5 (P a rks, 1968). Thus HS- can exchange with OH - in the pot enti a l de - termining laye r but the exchange would be favor e d a t pH con - ditions e i ther ne a r or below the I EP . Thi s would expl ai n the increase in the rate of the r eduction as th e in i ti a l pH - i? s pre s ent in th e pot ential - Fe + I 2 HS- could react as doe s I .1n the ;1hove reactions , to yield HS 0 , equivalent of I~. However, in the reaction of goethi te with aqueous sulfide species, t he nt craction of 1IS 0 i with anoth e r ferric iron coordination s ph ere is not necessar ily required, as it ' s a nalo g in t he Jbovc me chani s m. Th e n HS- can be thought of as be .in g ;1ssoc L~1ted with a s urfac e adsorption s ite, s inc e the purpose o r the fixed laye r i s to balance the charg e of the p r o to n ~1 t c d s ite. The structur e of goethite cons i s t s of he xagonal l y cl ose- pa cke d ox yge n atoms with iron in the oc t ahedral inte rstices (Deer, Howi e , and Zussman, 1966). Thu s , ecJc h su r [ ;1l e oxyge n i s s hared by two iron octahedra, a nd th e pot e nti ;1 J det ermining HS i s a s soc i ate d with two iron o ct ah c d 1? a . both octahedra co ntain ferric ion which can be r educed. !I S- would then transf e r one electron to on e of th e ferr i c i 0 11 :-; , resulting in th e formation of J-I S 0 I-I S 0 ? r e a cts i 111rn cd i ; 1 tely by tran s ferrin g an electron to th e other fcrrL c 10~ with which it i s a ss oci - ated. This would produ ce c ] cmcnt;1! s ulfur, S 0 , hydroge n i o n , and two ferrou s ion s . Th e st ru ct ur e of the goethite favor s a two e lectron exc han ge . Th i s 111 ccll;111 '. Sm would exp l a in why s ulfur is the prin cipa l ox i clat ion pr odu c t. How, the n, i s thio su] ra t c produce d? Th e for matio n o f th i o s u 1 fat e wo u 1 cl re q u i r e c o 11 e: i t i o ns wh i c 11 :fa v o r 88 interaction between two or mor e unstable ox idation species HS 0 ? An increase in HS - concentration would increase the 0 number of HS -occupied s urface adsorption sites, which would also increase the number of HS 0 species. An increas e in the total dissolvetl s ulfide, at constant iron reactant s ur face area, should result in an increase in% thiosulfat e. This was observed in the results of the present st udy and in the results of Rozanov et al. (1971). Conversely, an increase in the total number of s urface adsorptio n sites would decrea se the% thio s ulfate of the oxidation products, by decreasing the interaction b e- tween HS 0 species. A low correlation (r = 0.09) wa s ob- served between the% thiosulfate and the initial pH. Th i s would indicate that sulfide speciation was not an important factor in the formation of oxidation products. It appears that both HzS and HS- are equa ll y re- active. Thi s interpretation was made in view of the fact that the relative proportions of H2S a nd HS- c h a n ge s i gnifi - cantly over the pH range of this s tudy. If the spec i ation of reduced s ulfur was important, the re lative proportion of oxidation products should change in re s ponse to a varia- tion in pH. Thus the mechani s m fdr the reduction reaction i s postulated to b e : 89 (1) protonation of surface adsorption s ites (2) exchange of SH with OH in the fi xe d l ayer of the iron phase (3) consecutive transfer of two electrons from ads orbed HS- to surface ferric iron (4) formation of a protona ted layer of Fe(OH)z (5) dissolution of a Fe(OH) 2 layer. After reduction of the surface lay e r of ferric iron ' the reduction of ferric ions in the underlying bulk of s olid can only occur after di ss olution of the s urface l aye r of ferrous ions. Ferrous hydroxide , Fe(OH)z is metastabl e at the pH values of this s tudy, and in natural a noxic sediment s. The s olubility product for Fe(OH)z is Fe(OH)z ! Fe +2 + 2 OH-, lo gKs p = -15 .15 (B aes and Mesmer 19 76 ) ' The concentration of iron in equilibrium with so lid Fe(OH)z at pH 7-8 is 10?1.15 to 10 ?3.15 Fe? 2 Thu s the s urface layer should dissolve and expose th e remainder of the s olid (Walton, 1967). Ki ne tic s of diffusion co nt ro ll e d dissolution ar e first order with respect to s ur face ar ea. However , ther e is ample prec edent for r eac tions in which di ss olution is controlled by the ch emi ca l reaction (Moelwyn - Hughes, . Th e rate expression for the reduction and 19331 a?i sso .l ution phase was determine d to b e = d Di ss olution/cit = d [Red Fe]/dt .89 _ . 60 (H+) . 49 ApeOOH kD [HS \ i l 90 He r e , a first order (0.89) dependanc e on s urface area was seen, but a half -order dependance on both HS- (0.60) and H+ (0.49) was also observed. This hi gher order kinetic s indicate s a chemical control for the dissolution reaction. From rate determining step theory, the compo s ition of the activated complex is FeOOH ? 1/2 HS- ? 1/2 H+. Si nce molecules do not react by halves, the compo s ition i s there- fore 2 FeOOl?I ? HS- ? H+. This i s the activated comple x for the reduction reaction. I/ /le""' 0 01-1 , 1 / Fe / oI ""' 0H+s1r I / Fe / ""' 0 I ""' FIe / OH /I " After reduction, the product e l emental s ul fur would diffuse out of the s urfac e of the s olid (Mo e lwyn-Hu ghes , 19 33) . The hydro gen ion from the HS- would remain to protona t e th e s urface since the IEP for Fe (OI-1)2 i s 12 (Park s , 1965). Hydro gen balance Large quantities of hydro xy l ion a r e produced by th e r e duction reaction of goethit e by HS- . In addition, hydroxyl ions are produced by the prec ipitation reaction of ferro u s iron with aq ueous bi s ulfide a nd th e formation of 91 polysulfide from elemental sulfur. S 0 + 2/7 HS-+ 1/7 s~ + 1/7 s; + 2/7 H+ Fe+Z +HS-+ FeS + H+ Th e overall reactio~therefore would be 14 FeOOH + 23 HS + 14 FeS + 19 OH- + 9 HzO + S4 + S5 8 OH- + 5 HO+ s 0 = 8 FeOOH + 10 HS-+ 8 FeS + 2 2 3 Thus the hydroxyl:iron sulfide product r atio s hould be 1.36 and 1 respectively. Since sulfur was the principal oxidation product, the ratio s hould be closer to 1. 36 . Table 6 g ives the ratio of rrrillimO:tes of hydro xy l 1011 and the milli - moles of FeS as Sp? For all but two runs, the ratios of these value s is less than one. Ei ther there exists an additional sink for OH- or the re ac tion does not proceed as s imply as is stated above. Chemical analysis by Berner (19 64a) of hi s product ' iron monosulfide, showed that the ratio of Fe:S wa s not 1:1, but rather o.9:1 to 1.1:1. The iron deficient mono - sulfide was hypothes i zed to form by the adsorption or co- uct precipitation of NazS with the FeS. Analyse s of the prod nd iron s ulfide wer e conducted for Fe, Na a S . The excess s ulfide was then determined by s ubt racti ng 0.5 Na+. Th e However ratio was then determined as 0.9 at a minimum. ' the excess sulfide was assumed to be present as NazS, but Goldhaber and Kaplan (1975) have s hown thats= does not 92 Table 6 Hydrogen Balance '\.,350 '\.,400 '\.,600 '\.,750 '\J l440 Time '\., 30 '\.,2 00 (min) - Run 0.30 0.30 0.62 6 0 o.74 0.59 0.84 9 0.40 2.95 1.19 1. 2 22 6.80 1.16 0.40 0.54 0.32 24 0 0 0.51 1.48 0 . 7 4 25 0.37 0.54 0.10 0.10 0.19 28 0 0 0.50 0.57 29 o.71 o.52 o.36 0.10 0.19 0.19 30 0.33 0.14 0.41 0.57 0.46 31 1. 29 o.48 0.80 0.71 o.ss 33 o.64 1.07 0.94 1.47 1.49 0.84 34 1. 36 0.93 1. 34 35 6.60 4.00 0 . 43 1. 2 7 1.70 1. 26 0.93 36 2 .40 Ratio of mM +tOH-/mM S~ Exact times may be found in Appendix A. 93 ex i s t at neutral pH value s . Rath er , N: iHS would be pre sent, a nd the Na:HS ratio would be 1:1. Thu s the minimum ratio of Fe : S would b e o. 8. Thi s factor or O. 8 'N" ould reduce the 01-!- :FeS in a lar ge number of dat;i sets ) Ut sti ll some of the data would not h ave th e requjr cll r; itio of 1 to 1.36. Previous mec hani s ms a nd reaction s 1 0 1? the formation of iron s ulfide (Rickard, 1974, Berner, 19(1 2 ) d id not acco unt for the product 01-i- ion s , as 1n Ri.c lc i rd ' s (1974) mechani s m Fe+ 3 + e -+ Fe+Z FeOOI-1 + e -+ Fe+Z An additional s ink fo r hydrn xy l mi ght be adsorp tio n of hydroxyl within th e structure or th e iron mono s ul f i des . This proce ss would r emov e add i t i on;1 l hydroxide ion fro m so lution s o that it would not h e me;1s ure d by th e h ydroge n e l ec trode. Quantitativ e l y thi s co u I L: only acco unt for a fe w percent o f th e excess h ydro xy I I o ,is . Thi s c oprecipi t a t e cl hydroxy l might account for t h e C;1 c t th.i t the initi al i ron s ulfide is amorphou s (Berner , l '..JC14;i) h ) hind e ring c r ysta lli - za tion. Adsorbed h ydroxy l cou l d po s ::-; i1 l y b e determi n e d by infrared s p ec tro sc opy, but t h e re ;1r e n r, a vailabl e dat e for the pres e nce of hydroxy l group s in i r o il s ul fides . In addition, two ex perime nt a l prohl c rn s 111n ul d interfere with the determination of odsor b ed 0 11 - . 1 n ~tia ll y formed ir o n s ulfide s are extreme l y suscept jh l c t u air oxidatio n (Berner, 1964a), thu s great ca r e mu s t h e t;1kc11 : o preve nt ox i. clatio n. Al s o, hydro xyls are pre s ent in th e l"l' :1c tant iro n pha ses, 94 FeOOH and Fe(OH) . The product sulfide material must b e 3 free from contamination with reactant material which would give a positive test for hydroxyl. Formation of iron s ulfide After reduction of goethite, the ferrou s hydrox ide dissolves to produce aqueou s ferrous ion s and hydroxide io1n5 s. 15 So lubility product calculations for Fe(OH)z (Ksp - 10? ? ; Baes and Mesmer, 1976) show that the equilibrium concentra-== 3 15 The concentration of S tion of Fe+ 2 at pH 8 is 10- ? M. 3 s pecies at these conditions (pH 8 and s;? 4 x 10 ? M) can be calculat ed from the expression s=T= where 1 ? 10 ? 7 ? 1 and Kz ? 10? 14 are th? first and second 1 di ss ociation constants for H2S respectively (Stum1n a nd Morgan, 1970). These calcula tions showed that the concentration of s == i s 10- 7 ? 5 or 3.16 x 10- 8 M. The s olubility product of FeS has a value of 10- 10 ? 65 , or s i x orders of mag nitud e greater than the mo st so 1 uble s ulfide, amorphou s iron 16 9 s ulfide, with an ion activity product of 10 - ? (Doyl e, 1968). As a re s ult of the di ssolution of Fe (OE) 2 , the so lu ? tion is s up ersaturated with respect to iron s ulfide and pre- cipitation s hould occur rapidly. The rate of formation of i ro n s ulfide was studi e d by the initial rate method. QuaJratic eq uations were de? 95 t e rmined by a leas t squares re g re ssi on analysis, whi c h described th e concentration-time curves for acid ex tr act - able s ul fide sulfur. Th e initial rate for ea ch reaction run was de termine d by the me thod descri be d 1n Appendix B. Log - lo g plots of the initial rates for th e formation of FeS vs. th e initial bi s ulfide ion co ncentration, the initi a l hydrogen ion concentration, and th e initial s urf ace area of goethit e, can be fo und in Figur es 22, 23, a nd 24. Th e slopes, and h e nce the reaction orders f or th ese spec i es, were found to be 0.97, 0.82 and 1.1 respective l y. Thi s res ult ed in a rate expression : d[FeS] /dt The rate constant, k, wa s calculated on th e ba s i s of 16 2 experime ntal runs to have a mean value of 31?10 M- 1 1 i - m- . - 1 min The rate s and rate c ons tant s for the 16 individu a l runs may be found in Tabl e 7 . A comp arison of the result s of thi s s tudy with tho se obtained in a previous kinetic s tudy by Rickard (1974), reveal s s ome di sag reement. Ri ckar d determined the overall reaction to b e 9/2 order: first order in goet hit e s urf ace area , 3/ 2 order in total s ulfid e co nc e nt ra tion, a nd s eco nd order in hydrog e n io n activity. Results of t h e pre se nt s tudy indicate a third orde r r eact ion, first order in eac h of the three re ac tant s : goe thit e s ur face area, tot a l i niti al s ulfide conc ent ration, a nd hyd roge n ion a c tiv ity. Co mpari s on 96 10- 5 .....- ---------------------, U) (1) w... I HS~ (M) 1 Fi gure 2 2 : Plot of Rate of Iron Sulfide Formation vs . Initial Bisulfide Ion Co nce ntra t ion 91 r--. ~ ?rl ...s....._ t ~ '-' .? .'.".." 6 ..d.._ 10- U) (1) 1-L, '""d t l H+. (M) l Figure 23 Plot of Rat e of Iron Sulfid e Pormation vs. Initi a l Hydro gen Ion Concentration 98 t t t t 10 A (m2/l) FeOOHi Fi gure 24 : Pl ot of Rat e of Iron Sul f id e form a tion v s . Initial Go e thit e Sur face Ar ea 99 Table 7 Rate of FeS Formation 82 d[FeS]/dt = k [HS-]: 97 1 (H+):1 AFle.Ol OHi k = 31?10 M- l 1-l m- 2 min - l 2 d[FeS ]/ -' (..,.J >-' Run 34 pH . = 7 .1 73 l s= T . = S . 1 7 l FeT_ = 1. 06 , 6 .5 2 m2 / 1 l Reduc ed. T i me pH +~OH s= s 5 S 203 so s= s= s= 4 T C p Iron -- 0 7 . 1 86 5 . 41 0 . 00 33 7 .1 73 0 . 00 0 . 00 0. 00 0.1 7 4 . 89 5.1 2 0 . 39 16 1 7 . 1 80 0 . 2S 0 . 01 0.0 1 0 . 02 0 . 2 5 S . 07 4 . 41 0.1 8 0 . 7 S 31 2 7 . 22S O. S6 0 . 02 0 . 02 0. 03 0 . 28 4 . 84 4 . 43 0 . 38 1.0 6 4SS 7 . 237 0.74 0 . 02 0 . 02 0 . 04 0 . 30 4.8 1 4 . 06 0. 49 1. 20 61 0 7 . 21 7 0.63 0 . 03 0 . 02 0 . 04 0 . 4S 4 . 69 3 . 94 0 . 7 S 1. S3 1331 7 . 244 0 . 91 0 . 04 0 . 03 o.os 0 . 29 4 . 42 3 . 56 0 . 97 1 . 47 \-I v,l N Run 35 pHi = 7 . 4 1 9 s= T . = 5.50 1 2 FeT = 1.06 , 6 .5 2 m / 1 1 Reduced Time pH +L'i OH s= s= so s= s= s= 4 5 s2o; T C p I ron - 0 7 . 4 10 0.0 2 5. 72 0 .16 30 7 .4 1 9 0.03 0. 22 5.52 5.40 0. 69 1 66 7 . 433 0 . 20 0. 00 0 . 00 0 . 04 0 . 20 5. 4 5 5.05 0 .03 0.83 316 7 . 4 5 2 0 . 40 0 . 01 0 . 00 0 . 0 5 5. 29 4. 98 0 .1 0 4 6 0 7 . 434 0 . 01 0 . 01 0 . 0 5 0 . 3 5 5. 32 5. 01 0 . 23 1. 34 48 1 7 . 4 7 2 0 . 02 0. 01 60 5 7 . 447 0 . 42 0 . 02 0.0 1 0 . 06 0 . 36 5. 28 4 . 94 0 . 4 5 1. 4 5 1 4 50 7 . 498 1. 0 2 0 . 0 5 0 . 0 3 0 . 09 0 . 23 4 . 77 4 . 24 0 . 76 1. 6 7 1--' vs vs Run 36 pl-Ii = 7 .400 = ST? = 5.40 1 FeT = 1.06, 6.52 m2; 1 1 Reduced Time pH +6 0H S4 s =s S203 so s = s = s = Iron T C p - - 0 7 . 400 0.01 5.75 35 7 . 400 0 . 01 0 . 00 0.0 2 5.3 8 4.96 1 71 7 . 41 1 0 .1 2 0.0 1 0 . 01 0 . 03 5 .1 0 5.31 0 . 05 315 7 . 41 8 0.22 0 . 02 0 . 01 0.0 4 5.23 5.14 0 .1 3 46 5 7 . 42 5 0 . 38 0 . 02 0 . 0 1 0 . 04 4 .9 0 4 .6 7 0.30 602 7 . 465 0.81 0 . 03 0.02 0 . 06 5. 16 4 .5 6 0 . 43 1 22 5 7 . 4 79 1. 00 0 . 05 0 . 03 0 . 06 4 .66 4 . 3 3 0 . 78 I-' l..N,. I 1 3 5 APPE NDI X B Initi a l Rat e Me tho d The kine tic s for th e r e a c tion of aqueou s bi s ulfid e ion a nd goethit e wa s s tudied by th e initi a l rat e me tho d . The rat e l a w for thi s r eac tion ca n be cons ide r ed to be : wh e r e Ri i s the rate o f f or ma tion of iron s ul f id e , (H+) i s the hydro gen ion a ctivity, [HS- ] is th e bi s ul f ide i on co n - centration, AFe OOH i s the s ur face a r ea of th e r eactan t go e thit e , and k i s the r a t e con s t ant. Th e c oef fi c i ent s x , y, a nd z a re th e r eaction orders f or th e re s pecti v e s peci es . The initi a l r at e me thod or differe n t i a l me t hod i s base d on th e fa c t tha t: = ln k + x ln (H+) + y ln [HS- ] + z ln A FeOOII The e qu a tion i s r a th e r compl ex f or a r eact i on d epe ndent on sev e ral r eacta nt s , but it i s po ssi bl e to simp l ify t he ex - pre ss ion by ma intaining all but one of th e r eac tan t s co n - s tant. Thi s r es ult s in ln R? = ln k* + x ln (H+) l wh e r e ln k* = ln k + y ln [HS- ] + z ln A1~ OO ?e H 1 36 A plot of the lo g of the initial rate v s. the log of the particular variable, (H+) in thi s case, will y i e ld a s traight line with a slope x . Thi s proc ss i s repeated until th e r eaction order s for the reactants are determined. The initial rat e in thi s s tudy wa s det e rmined from plot s of the acid ex tractabl e iron s ulfide (>.2~ co nc e ntra - tions v s . time. Then a s mooth curve or s traight lin e was fitted to the c urve by a lea s t s quare s regre ss ion method. The initial rate was determined from thi s equ a tion by takin g the first derivative of th e curve's equation a nd se tting the value of x equal to zero. For example: y =a+ bx+ cx 2 dy/dt b + 2 ex dy/dt = b at X = 0 For the several experimental runs i n whi ch one r e- actant wa s varied, a lo g- lo g plot of b v s . th e c once nt rat i on of the species varied wa s made . A s trai ght lin e wa s drawn through the points by a least s quar es r egressio n. All but thre e of th e curves wer e fit by a par aboli c function. Th e remaining thre e were fit by a linear regr ession. Th e "goodne ss of fit" of the se curv es wa s determi ne d by on e of two me thod s . The linear e qu at ion s were t ested by a n equal tails test of th e correlation coeff i c i e nt a t th e 95% confi - dence lev e l. Th e quadrati c curves we r e t es t ed by t he F- test me thod (Kreysz i g , 1970) a t th e 95 % co nf id e nce l eve l. Al l o f the curves fi t tl1 e cla ta a t th e a bove co n? ide nce limits . - 137 The rate constant , k, for th e r eac tion could th e n be determined from the knowledge of the r eac tion order a nd concen tratio n s of the variou s reactant s in the rat e exp res- s ion and th e initial r ate, R - . l k = All calculations, curve fitting, s ignificance te s ting a nd regre ss ion a nalyses were performed on a Hew l ett-Packard HP - 65 calculator. All programs were found in their S tat Pa c l. S ignificance of linear correlation coefficient s were det e r- mined from tabl es in Crow et a l. (1960). F-t es ting of para- bolic curves was performed fro m tabl es in Kreysz i g (1970). - 138 BIBLIOGRAPHY Atkins on R.J., Posner A. M. and Quirk J.P. (1968) Crystal nucleation in Fe(III) so lutions and hydrox ide ge l s . J. Inor g . Nuc l Chem. 30, 2371-2381, Baas Becking L.G.M. (1956) Biological processes in th e estuarine environment . 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