,é : a :5 3., ' 3 ‘3‘ » 1 “Ki J" 3".“ :\.¢I ""2 .... 5.» v... t ) . ; L5 13. 3.", - ..3s "3‘ 0‘. Jr‘- .' .'v~ .: “‘3. V1... 0 ‘ . I - . a (-2.1 This is to certifg that the thesis entitled A hechanism for the Decomposition of Potassium Ferrate in Date 0-169 Aqueous sodium hyuroxide presented In] Orville N. Hinsvark has been accepted towards fulfillment of the requirements for JL_$L_ degree in W ’9 ,, Major [rdfessor May 27 , 1952 A MECHANISM FOR THE DECOMPOSITION or POTASSIUM FERRATEtVI) IN AQUEOUS SODIUM HIDROXIDE By Orville N. Hinevark A THESIS submitted to the School of Graduate Studies of Michigan State College of Agriculture and Applied Science in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE Department of Chemistry 1952 CKICMlI'I'HY DEFT. ur—T" P" V A Q} l V . C)”, ' / AQNOWLEDGMENT The author wishes to express his sincere for the guidance offered to him by Dr. Andrew Dr. Elmer Leininger throughout this work. He to thank Dr. K. G. Stone, Jr. for the helpful which lead to the conclusion and to thank his devoted a great deal of time to the typing. 092m "a"? appreciation Timnick and also wishes suggestions wife who STRACT A study was made on the decomposition of potassium fer- rateWI) in highly alkaline media. Polarographic techniques utilizing a rotating platinum microelectrode proved unsatis- factory in determining the oxidation states through which ferrate(VI) passes in its reduction. Alkaline solutions of potassium ferrate(VI) were found to Obey Beer's Law at 500A747’; and through spectrophotometric measurements, the kinetics of its decomposition could be determined. Utiliza- tion of these kinetic data was made in prOposing a possible mechanism for ferrate(VI) decomposition. In order to explain the apparent unstable eQuilibrium, free hydroxyl radicals were suggested as one of the products which caused a rever- sal of the initial reaction by oxidation of the ferrite(III). The subsequent oxidation of the free radicals or their re- combination product, H202, by ferrate(VI) was suggested as the primary explanation for the eventual completion of fer- rate‘VI) decomposition in aqueous alkaline media. Iggy; _O_F_‘ CONTENTS PAGE List of Tables . . . . . . . . . . . . . . . . . . . . 1 List of Figures. . . . . . . . . . . . . . . . . . . ii Introduction . . . . . . . . . . . . . . . . . . . . . 1 Experimental Work. . . . . . . . . . . . . . . . . . . 3 Apparatus.................... 3 Reagents. . . . . . . . . . . . . . . . . . . . . 3 Solutions . . . . . . . . . . . . . . . . . . . . 3 Experimental Procedures . . . . . . . . . . . . . 4 Polarographic Studies. . . . . . . . . . . . 4 Colorimetric Studies . . . . . . . . . . . . 4 Kinetic Studies Using a Beckman DU Spectro- photometer . . . . . . . . . . . . . . . . 4 Experimental Results and Interpretations . . . . . . . 6 Polarographio Data. . . . . . . . . . . . . . . . 6 Colorimetric Determination of Potassium Ferrate . 9 Kinetic Studies of Decomposition of Potassium Ferrate . . . . . . . . . . . . . . . . . . . . 12 Substantiation of Proposed Initial Equilibrium Reaction. . . . . . . . . . . . . . . . . ._. . 14 Free Hydroxyl Radical Reaction. . . . . . . . . . 22 Proposed Main Degradation Reaction. . . . . . . . 25 Discussion . . . . . . . . . . . . . . . . . . . . . . 28 Conclusions. . . . . . . . . . . . . . . . . . . . . . 34 Appendix . . . . . . . . . . . . . . . . . . . . . . . 35 Bibliography . . . . . . . . . . . . . . . . . . . . . 49 ngg or TAQLES TABLE 1. Relationship of k1 to Normality of NaOH Solvent. 10. 11. 12. Rate of Decomposition of K2Fe04 in 4N NaOH as Found by Polarographic Amperometric Technique. Rate of Decomposition of K2Fe04 in 4N NaOH as Found by Polarographic Amperometric Technique. Absorbtion Data of Potassium Ferrate in 8N NaOH With a Beckman Spectrophotometer . . . . . . . Absorbtion Data of Essentially Decomposed Potassium Ferrate Solution - To Show Effect of Decomposition Products. . . . . . . . . . . Determination of Conformity of Potassium Ferrets Solution in 8N NaOH to Beer's Law. . . . . . . Kinetic Runs of the Decomposition of Potassium Perrate in 8N NaOH Made on Beckman Spectro- photometorat5000....oo.....ooo Kinetic Runs of Potassium Ferrate Decomposition Made on Beckman Spectrophotometer With Varying Concentrations of NaOH . . . . . . . . . . . . Kinetic Runs of the Decomposition of Potassium Ferrate in 8N NaOH Saturated With Fe203-xfizo . Kinetic Runs of the Decomposition of Potassium FarrateianaOHatoce e so es s 0 see Kinetic Runs of the Decomposition of Potassium Ferrate in 8N NaOH With Glass Wool Added to ReactionVassol...ooo.........o Kinetic Runs of the Dgcomposition of Potassium Ferrate in SN NaOH n the Absence of Light . . PAGE 14 55 36 57 39 41 42 45 45 46 47 FIGURE 1. II. III. VI. VII. VIII. XI. XII. pIST pg; FIGURES Graph Showing Rate of Deuomposétion of Potas- sium Ferrate in 4N NaOH at O C as Determined on the POlarOgrapho e e e e e e e or) e e e 0 Absorption Spectrum of Potassium Perrate in 8N NSOH o e e e e o e e e e O O O O O O O O 0 Graph Showing Beer's Law Adherence of Potassium Ferrate 1n 8N naOH. e e e e e e e e e o o e 0 Graph Showing Typical Rate of Decomposition Curves of Potassium Ferrate in 8N NaOH . . . Graph Showing Rates of Decomposition of Potassium Ferrate in Varying Concentrations Of NaOH 0 e e e O O O O O O O O O O O O O O 0 Graph Showing Effect of NaOH Concentrations 0n FirSt Rate ConStant. e e o e e e e e e e e Graph Showing Rate of Decomposition of Potas- sium Ferrate in 8N NaOH Saturated With Hydrous Ferric Oxide p. . . . ... . . . . . . Graph Showing Rate of Decomposition of Potas- sium Ferrate in 4N NaOH at 0°C. . . . . . . . Graph Showing Rate of Decomposition of Potas- sium Ferrate in 8N NaOH, Glass Wool Added to Reaction Mixture . . . . Graph Showing Decrease in Potassium Ferrate Concentration in 8N NaOH in Absence of Light. Graph Showing Rate of Decomposition of Potas- sium Ferrate in 8N NaOH . O O 0 O O O O O O 0 Graph Showing Rate of Decomposition of Potas- sium Ferrate in 8N Na0H as Compared With calculated Curve. e e e o e e e e e e 11 PAGE 11 13 15 16 18 20 24 26 30 31 A MECHANISM FOR THE DECOMPOSITION or POTASSIUM FERRATEWI) IN AQUEOUS SODIUM HIDBOXIDS W Ircn in the higher oxidation states of plus four and six has been known for a long time. Bohnson1 showed that the cata- lytic decomposition of hydrogen peroxide was due to the forma- tion of ferric acid which subsequently reacted with the hydrogen peroxide to form oxygen and water. Bray and Gorin2 have sub- mitted some evidence to show the presence of low concentrations of ferryl ion, PeO‘z, in ferric-ferrous systems and in the catalytic decomposition of hydrogen peroxide with ferrous iron. Under certain limited conditions it is possible to form the perferrite ion, re03=, but this appears to be unstable with respect to decomposition into the plus three and six oxidation states.5 Solutions involving the ferrate ion are difficult to study because of their rapid decomposition unless the aqueous medium is highly alkaline. The slightly soluble barium fer- rate(VI), SaPe04, appears to be the most stable of its salts. It can be suspended in dilute acetic acid with only slow de- composition. In mineral aside, however, all ferrates decom- pose rapidly with the formation Of iron in the plus three oxidation state. If the acid is nonoxidizable under these conditions, there is a rapid evolution of oxygen. In an aqueous solution the following reaction takes place:6 4K2Fe04 + 10H20 ——’SKOH + momma 1- 302 In strongly alkaline media the stability of the ferrates is increased to such an extent that a study of the kinetics of its decomposition is possible. The relative instability of the ferrates, coupled with the difficulties involved in obtaining them in the pure state, probably explains why the work pertaining to the study of this oxidation state has been limited. The latter detriment to this study has been overcome somewhat bypa recently published paper7 which describes a method for preparing potassium ferrate in a relatively pure state. This study was made to ascertain the oxidation states through which potassium ferrate passes in its decomposition in an alkaline medium. The report covering the work done in this study concerns itself with a possible mechanism for the decomposition of potassium ferrate and the experimental evidenca used to sub- stantiate the prOposed mechanism. EXPERIMENTAL WORK Assassins. A Sargent Hbdel XXI polarograph was used in an attempt to ascertain the steps through which potassium ferrate passes in its reduction. Since mercury is attacked by the potassium ferrate solution, a dropping mercury electrode could not be used; and a rotating platinum microelectrode was employed. The electrode was made, with slight modifications, according to specifications'given by Lingane4. In the kinetic studies a Beckman D U spectrophotometer with corex cells was used. Unless otherwise stated, the tem- perature was maintained at 30° 2,0.20 by a constant temperature bath.. The time was measured with a stopwatch, the readings made within‘1_10 seconds. Essssata. The potassium ferrate was prepared according to Schreyer's7 procedure; and its purity was ascertained using Ichreyer's8 chronic oxidation method. The purity of the different prepara- tions analyzed by this method varied between 62.5 and 95.5% potassium ferrate, the impurities apparently being potassium hydroxide and ferric oxide. Salutisns. The concentration of the potassium ferrate solutions was approximately one millimolar with respect to potassium ferrate (VI). The sodium hydroxide solutions used as the solvent varied in concentration and were prepared by weighing C.P. grade sodium hydroxide and dissolving it in distilled water. Experimental Procedures, __ '22lazggzaphig Studies: These studies were made in the usual way. The solutions of potassium ferrate were introduced into the polarographic cell; and the diffusion current, caused by the reduction of the ferrate ion on a rotating platinum microelectrode, was recorded on a polarogram. Colorimetgig Studies: The aqueous sodium hydroxide solu- tions were prepared and brought to the desired temperature, 50°C, in a constant temperature bath. Weighed quantities of the analyzed potassium ferrate were added to the sodium hydrox- ide solution flasks, and the optical density of each resulting solution was measured at 500Am43five minutes, ;,10 seconds, after dissolution of the potasSium ferrate. Using these data, adherence to Beer's Law was observed. Klgetig Studies Using A Beckman 2,_,§pectrophotometer: The kinetic studies were performed in the following way: (l) The aqueous sodium hydroxide solutions were prepared and placed in 100 ml volumetric flasks. (2) The sodium hydroxide solution was then placed in the constant temperature bath and permitted to attain the desired temperature. In this work the temperature was usually 30° 3.0.20. (5) When the solvent had attained the desired temperature, a weighed quantity of potassium ferrate was introduced into the flask. (4) The decomposition of the potassium ferrate was fol- lowed colorimetrically by withdrawing samples from this flask and introducing them directly into the absorption cell. When this was done, the Optical density of the solution was meas— ured at soommf. The Optical density and the time of the read- ing were recorded. (5) Since Beer's Law is obeyed and the optical density is proportional to the concentration, the Optical density is used directly in the calculations and graphs. The curves ob- tained by plotting time versus optical density are found throughout the report. The data used in the plotting of these curves are found in the appendix. W RESULTS m IyTERPRETgTIONS The experimental results described in greater detail on the following pages show the data used in arriving at the con- olusions found in the report. The first portion of the work involved the use of the polarograph utilizing a rotating platinum microelectrode; while the second and major portion concerns itself with kinet- ic studies made with a Beckman D U spectrophotometer. W441”. If there is sufficient difference between the free ener- gies of the oxidation states through which the ferrate passes in its reduction, these states should be recorded on a polaro- gram as a series of steps. The electrode as described by Lingane could not be used since apparently the insulating wax on the shaft was not stable under the conditions employed. Leaks developed in the wax and the cell formed caused an enormous increase in the recorded current. An attempt was made to cover the shaft with glass tubing through which a platinum wire lead protruded. This de- sign caused considerable stirring which apparently prevented the obtaining of reproducible diffusion currents. The polaro- grams obtained with varying potassium ferrate and sodium hy- droxude concentrations had the same general shape, but no breaks were observed which would indicate a stable oxidation state between the known plus three and plus six levels. While reproducible results could not be obtained from one run to the next, the diffusion current appeared to be pro- w portional to the concentration of the ferrate in any given solution; This observation is substantiated by the data de- rived from kinetic runs on the decomposition of potassium ferrate in four normal sodium hydroxide. The temperature was maintained at 0°C in order to increase the stability. The applied emf was set at v.15V versus 0.1N NaOH, Ego electrode, and readings were taken at definite time intervals. This was continued until all the potassium ferrate had decomposed. In order to insure complete decomposition to obtain a base line, hot water was added to the bath until the color, characteristic of the ferrate ion, had disappeared. The polarographic cell and contents were then cooled to 0°C and the diffusion current measured. This diffusion current served as a reference line from which step height measurements were made. The step height at definite times was recorded; and when Log step height versus time was plotted, a straight line resulted. The result of this experiment is shown in Figure I. There is a great deal of dis- persion of the points in the individual curves, but the slopes appear to agree closely with rate constants of 6.76 X 10"":5min."1 and 6.83 X 10-3 min.'1. Midway through the rate run represented by curve 2, there was a sudden displacement of the diffusion current. This can probably be attributed to an inherent fault in the electrode, possibly a difference in the stirring. 0n the basis of the above observations, it is probable that if '———————- Time min ' P“ I I I I I I I I I I I 0 g\0\ .\‘ 6\\ IO_ 0\\ - I __J. SI— 9 , x _‘ I 7—— 0(9- e.\ . —' so \ . \g?— k ° ‘~\°\ o —-—1 ‘\ \{Z 9. 9" _ o- "\9 15I—— \ , ‘ ~- & \~\o __ It \ e \ 0" \ Q) “\‘ O\ _'I‘ *9 \Q U) I ah— —- I 2.__ __ . I I I I I I I l I a 20 40 60 ST, . leO T20 I415 I60 ISO 200 2217 not FIG.I GRAPH SHOWING RATE OF DECOMPOSITION OF POTASSIUM FERRATE IN 4N NAOH AT O'QAS DETERMINED ON THE POLAROGRAPH. stirring could be eliminated, the diffusion current would be proportional to the concentration; and reproducible results could be obtained. WWQWW. Since a solution of potassium ferrate is highly colored, it seemed quite logical to attempt a colorimetric analysis for the determination of ferrate concentration. This would afford a convenient and rapid method for following its decom- position in various media. The absorbtion spectrum was determined to show the wave length at which a solution of potassium ferrate had maximum absorbency, the results can be seen in Figure II. The scan was made by taking readings every lOnWon solutions of potas- sium ferrate dissolved in 8N NaOH. The absorbtion spectrum obtained in this way showed that the solution absorbed strongly in the vicinity of 600074. By making a scan with a solution of xzreo, which had essentially decomposed, the decomposition products, as indicated by curve 2, were shown not to interfere. By setting the wave length at SOqu and taking readings of the optical density, D, of the analyzed ferrate solutions, it is shown in Figure III that Beer's Law is obeyed over the range of concentrations used. Because of the instability of the solutions, it was necessary to make the readings at defi- nite elapsed time intervals. If the elapsed time were five minutes :,10 see. as in Figure III, the extinction coefficient was found to be 5.15 l g‘lcm‘l. This was found to hold over 10 mkM>> .Iodz 20 Z. Dahommm zo_._.n_momm< ”:9“. goo am I D.» 06 l a a l l _ a _ _ l _ a _ fl _ l _ PI I . ION Q I IS ZOEbJOm QmmOdéoowO J. . Q. 0. . & I -0. Ian 0 .... .. O , . O a I G G/ I I .. .. . I9. . 0. ex I -.. IUD e, - . .0 \x I .11 0 o 0 @Q\ Iwa III II- IIIQ. O Q é *V J; :4: m -IVIIW *w Mo *Ifl _ 4.? j b b:hv _ _ -c. 11 O 6 r T /IF I'" —-J 0.4}— ._.. I j 0 Qoi— _. I ./ I r—- / —I 9’ // 02—— _. OI —— /I / // O I). IO I ”— 0850/70 9///'ter FIG-IIIIGRAPH SHOWING BEER'S LAW ADHERENOE OF POTASSIUM FERRATE IN ON NAOH.. 12 the concentration range from O to 0.125g KZFeO4/1. The potassium ferrate in this expression is expressed as pure potassium ferrate. ggggti2.8tugigslgg Decompopition.gg Potassium Ferrgt . As was stated previously, the purity of the prepared material analyzed by Schreyer's method varied between 62.6 and 95.5% potassium ferrate(VI). Kinetic runs of the decomposition were made using the potassium ferrate samples of varying purity. The only dif- ference in the experimental results was in the time required to attain the equilibrium condition. On the basis of these observations, it seems probable that the results should be applicable to the pure material and the impurity is of little significance in the reaction. The shape of some typical decomposition curves plotting log D versus time is shown in Pig. IV. As can be seen, a straight line is observed over the first portion of the curve indicating a first order reaction. The slope then gradually decreases as competing reactions cause the reaction to become complex. The curve then finally graduates into another stralght line function. The shape of these curves suggests the existence of a first order reaction at the beginning, the rate of which is rapid, relative to the other reactions. Since the SIOpe gradually decreases and graduates into another straight line whose slope is much less, it seems probable that the reaction 15 OS I I I I21“— “J IO JG]. :0 . “IL A BC [me If? m/n. FIG. IV GRAPH SHOWING TYPICAL RATE OF DECOMPOSITION CURVES OF POTASSIUM FERRATE IN ON NAOH. 14 establishes an equilibrium with the relatively slow decompo- sition of one of the products. finbsisniisiiss.af.Proposes.Iniiialuissiliarissflasssiiass In order to test the hypothesis concerning the unstable equi- librium reaction, kinetic runs were made varying the sodium hydroxide content of the potassium ferrate solutions. Sodium hydroxide concentrations from four to nine normal were used. (See Fig. V) The rates of reaction, found by taking the slope over the first straight line portion, were determined; and these rate constants were plotted against the normality of sodium hydroxide. Figure VI shows that the rate constant de4 creases in direct proportion to the normality of the HaOH. This suggests the existence of a relationship involving the concentration of hydrOxyl ions to the first power. TABLE RELATIONSHIP OF k1 TO NORMALIT! OF NaOH SOLVENT Con. x1 x 102 min. on 2.92 as 3.61 7N 6.07 ON 7.68 an 8.66 4N 10.07 3 report the reaction: Grube and Gmelin ZNazFe04 t 6e‘ ZCFINagle204 + --- to be reversible at an iron anode in 40$ NaOH at 50°C, hydrous ferric oxide being quite soluble in concentrated alkaline solutions. 15 00 0.01 {I e 4N NaOH O OH NaOH 5 6R Nam-I -o- 7N" NaOH c—SN NaOH 40 SN NaOH —7€'me in min. FIGV‘GRAPH SHOWING RATES OF DECOMPOSITION TT L‘s .___). OF POTASSIUM FERRATE IN. VARYING CONCENTRATIONS OF NAOH. 16 ._ \\ __.. _ I __ 4L— \ —— F o \ . — aI— __ 1’s I I Is I; I: (I I {'3 1]? Id III —— Norma ht FIC.VI:CRAPH SHOWING EF I-‘FECT OF NAOH CONCENTRATIONS ON FIRST RATE CONSTANT. 17 The validity of this reaction was tested.by saturating an an flaOH solution with Fezoa-xHZO, adding 12Fe04, and sub- sequently making a kinetics run on the ferrate decomposition. From the results or this run, shown by Figure VII, it can be seen that the initial rapid rate or decompositiOn, Observed in ferrate solutions not containing the added FezosoxHQO, is not apparent. The result is essentially a straight line from the start. The slope of this straight line is the same as the second straight line portion or the normal decomposition curve. ’ The results obtained in these measurements apparently are not in full agreement with the reaction as written and proposed by Grubs and Gnelin to take place at an iron anode. It appears that the amphoteric species of Fe203°xH20 exists not in the form or Fe204=, but rather as Feog'. This conclusion is based.upon the apparent first order reaction which occurs initially. If the dimer were formed immediately, the reaction should.be more complex. In order to further test this reaction, it would seal that if the ferrite ion concentration were reduced to such an extent that its concentration never became great enough to establish the unstable equilibrium condition, the reaction should continue to be first order with respect to the ferrate decomposition throughout the whole reaction. The solubility of the ferrite would be expected to de- crease with decreasing alkalinity and with decreasing tempera- ture. Taking advantage of these suppositions, a rate run was l I I T T I 9'— .— .8I’— _ .7— - Bi? 0 _I 0 Q5? R ‘4 a ‘1 .4I— \\o-\ _ S 0-»- k 0%“ l ““““ Q 2 O~ "“0"" ‘ ... I WITH F2203): H20 '— 2 NORMAL CURVE I I0 I I 10 2e]— 40 +750 6U Ime 3If min. FIG VII“ GRAPH SHOWING RATE OF DECOMPOSITION OF POTASSIUM FERRATE IN 8N NAOH SOAXTUEATED WITH HYDROUS FERRIC ID . 19 made at 0°C with.the potassium ferrate dissolved in four nor- mal sodium hydroxide. As can be seen in Figure VIII, a straight line is obtained when log D is plotted.against time. There is considerable amount of dispersion Observed in the points. This dispersion can‘be attributed to the moisture condensation which takes place on the windows of the cells. The measurements made in this run do not take into account the changes in the rate constants, both forward and reverse, with changes in tempera- ture. Since increasing hydroxyl ion concentration causes an in- crease in the stability of the ferrate solution, and since pre- sumably only sodium hydroxide, water; ferrate, and ferrite are present, water must be the substance being oxidized by the Fe04'. This might be expected if the ferrate ion, De04', exists as such in solution, the coulombic forces of repulsion would be prohibitive for collision and subsequent reaction to take place between the ferrate and hydroxyl icns.. The oxidation of water might be expected to occur in steps, eg. FeO4' .- 2320 =2:- reoz" + 503. I- OH" This reaction fits the data presented thus far and can prob- ably be further substantiated by referring to the preparative method for K2Pe04. Hypochlorite ions in a water solution can conceivably exist as GlOoHZO', or represented in a different way, HOClOH’. This could react as follows: 'l'lll I‘ll I; ‘11!" 2O 0.0 ...4 19.2 zv. z. uhdmmwu 23.mm<._.on. ....O zo_._._m0dzoouo mo mkdm 02.39% Inamc u=_>.0_.._ .CILk 9: WE‘ 3% DESI PE. MOON amt our DC? DE 1: be om Lee ON I I _Ja4_a_fifl___la 21 (1) o/snocmn-ts 3/201“ + cos- (2) OH" t 30H. 4- FeOg' z; Fe04= .- 21120 Reaction (2) shows a possible reversibility Of the reaction for the formation of ferrate by a reaction with hydroxyl radi- cals and ferrite. The free energy of formation of hydrogen peroxide by com- bination of two hydroxyl radicals is quite large', estimated to be Al" . -21 kca1.5 On this basis, it might be expected that the combination of hydroxyl radicals might be rapid and result in the following reactions: 303- -%>-3/23202 no; . 2320 tareoz" «- 3/211202 .- or This would indicate the existence of an equilibrium involving the production of ferrate through the oxidation of ferrite by hydrogen peroxide. This possible set of reactions is not sub- stantiated by experimental observations. If the indicated equi- librium is established, the addition of hydrogen peroxide should stabilize the reaction mixture. The addition Of hydrogen per- oxide to the alkaline solution of potassium ferrate greatly in- creased the rate of decomposition of ferrate. The rapid evolu- tion of oxygen prevented the possibility of following the de- composition colorimetrically. The rate, however, appeared to be immeasurable by this technique. ' The values of the free energies involving free hydroxyl radicals must be considered as Latimer reports, 'strictly tentative'. 22 These observations are substantiated by Latimer. As Latimer reports, while the free energy of formation Of hydro- gen peroxide by combination of two hydroxyl radicals is rela- tively high, there is no experimental evidence to show that the reaction rate is rapid. The increase in the rate Of decomposition of potassium ferrate by hydrogen peroxide may not be expected since Bohnson showed that ferric acid is formed as an intermediate in the catalytic decompOsition of hydrogen peroxide by plus three iron. lhile this happens'in neutral solutions of hydrogen peroxide, the addition of hydrogen peroxide to a strongly alkaline solu- tion of hydrous ferric oxide produced no ferrate, as would be evidenced by the appearance of the intense color characteristic of ferrate. In: M Miss; Miss: 0n the basis of the above mentioned facts, it seems that while the combination of 03- may take place, the effect is relatively small. If the concentra- tion of free hydroxylradicals is high enough, one might ex- pect the following reaction to take place: 5030 -*"3/402 9 5/2320 as a step preventing the reaction from attaining and maintain- ing a condition of a stable equilibrium. This would probably occur through combination of two hydroxyl radicals and the subsequent oxidation by a third free radical. This hypothesis is based upon the fact that the free energy Of formation of atomic oxygen by interaction of two hydroxyl radicals is Quite positive. 25 20H- —, 1120 .- o A r = 8.5 kcal.5 Since the free energy change is positive, this particular reaction probably would not take place appreciably unless the concentration Of free radicals were high or unless ex- ternal energy were applied. Since the reaction between hydroxyl radicals apparently takes place to some extent,_ there must be combination first and subsequent oxidation. In order to determine the extent recombination plays in the reaction, glass wool was added to the reaction vessel. Radical combination is reportedly a surface reaction; there- fore, this reaction should be enhanced by the increased sur- face presented by the glass wool. The effect, an extension of the time required to attain equilibrium, is seen in Fig. IX. This effect would be expedted since the reversal of the proposed first reaction is dependent upon the reaction between ferrite and free hydroxyl radicals. One would expect, however, that if this were the main reaction preventing the attainment of a stable equulibrium condition, the effect would be more pronounced than that whach was Observed, possibly preventing attainment of the unstable equilibrium condition. The above Observations appear to substantiate the previ- ous claim that the reaction: 30H. -—>3/2H20 4- 3/402 is not Of great significance in the decomposition scheme of potassium ferrateIVI). 3%— 0.8”— IWITH GLASS WOOL 2NORMAL CURVE 02% 11‘) 7#210 1,1021% :10 7 [me Ion mm. FIG. IX' GRAPH SHOWING RATE OF DECOMPOSITION OF POTASSIUM FERRATE IN ON NAOH. GLASS WOOL .ADDED TO REACTION MIXTURE. 25 2:922:31 .lisin Degradation Beatles: 0n the basin of the previously mentioned observations, there must be at least one more reaction which would‘be the major contributor to the in- stability of the equilibrium condition. The main degradation reaction proposed is as follows: Fe04= c SOHF-—ar 8/202 e Peoz' & OH" 7 320 This supposition is supported by the fact that the de- composition is extremely light sensitive. All of the previous reactions proceeded under essentially constant illumination from tungsten lamps; however, when the light was prevented from reaching the solution by using a blacked out bottle, there was a pronounced change in the ob- served results. This can be seen by referring to Figure x. The initial slope was essentially the same; but the unstable equilibrium condition was attained much more rapidly; and the subsequent decomposition took place at a much slower rate. According to Grotthusse's First Law of Photochemistry, “only the rays which are absorbed can produce a chemical change.‘I Since tungsten lamps emit primarily visible and infra-red radiation and since only rays up to the relative- ly near infra-red region would be able to penetrate the re- action vessel, it would seem probable that the activation frequency must be in the visible region Of the spectrum. In the reaction mixture, the only material which absorbs in the visible region is the potassium ferrate. This suggests that the reaction affected would be the reaction between the ferrate O.3I- I ABSENCE OF LIGHT 2 NORMAL CURVE I 0? IO 3I 4lU SIP 0. 2107.. lme 3In mm FIG'Xi GRAPH SHOWING DECREASE IN POTASSIUM FERRATE CONCENTRATION IN ON NAOH IN ABSENCE OF LIGHT 27 ion and the hydroxyl radicals, and this would be the major contributor to the degradation poocess. No attempt was made to ascertain the effect of different frequencies or to determine the quantum yield. Only the dif- ference observable under the two sets of conditions were noted and studied. 28 S USSIO The kinetic studies undergone in the experimental work indicate the following reactions to be the logical mechanism by which potassium ferrate decomposes in strongly alkaline media: 1) no," a- 2112034 I'eo2 e cano s- OH" 2) rec; + son _x:_,re02" .- 3/202 I» OH‘ + H20 :5) com ...—ksyO/éoz + o/znzo The rate expression for the proposed reaction would be developed as follows: Placing: [3004f]: x and since [DHT]constant, [OH-J k_1=k'1 dx - --k1x v x _1 [hoe ‘jfianfla- 3:: [33333 - 1:3[15333 313;; :1: - k _1 ['Ii'eOZij'OH']3 - Ixlejona3 - 3:33:03? a) steady state approximation: 4 OH° ....O _k1x - x11 [reoz‘ Jfon-ja- xszOHJ5 - 1:3[OHCI5 at 03- 3 2 k1: meoz'] I» :2: + :3 g;,: -2k1x kzx 9 k3 at k;1[p.oz;j v ‘2: + k5 Placing a : initial concentration of x and integrating between the limits a x, this result is obtained: k_1a e- 1} (k5 .- kza) xT-{kll ~13 - 1‘1ng e- kzagz -2k1t k3 (1:3 I- kth i;— 13 1- k2: M I .. I ' I ~ r. -‘ r _ I I I -. 7 - . l G . _, e 9 t - ..- 29 The rate constants could not be determined individually; how- ever, if the third reaction is neglected, the following dif- ferential equation can be obtained: A; -.- Zkikzxz dt k; Fe 2 e 12; If this is integrated between the limits a x, the fellow- ing result is Obtained: 55.1. 1-23.34 lngg2k1t kg x k x As an be see The rate constants kll and k2 are present as ratios in this expression. Since k1 is known from initial slope of reaction curves, the ratio til/k2 can be determined by taking the slope of the curve obtained by plotting F‘s04= versus time and placing this slope equal to dx/dt. (lee Figure XI) By using the differential equation and solving for the ratios, k_1/k2, a value can be obtained. If the suppositions made in the report are correct, placing this value into the integrated expression, and plotting this ex- pression, the resultant curve should correspond quite closely to the observed curve. 2:1: 3.6x10'2 fig. : slope = 8.0 x 10“ x = .328 a = .620 [PeOé]= a - x = .292 til/k2 = 10.8 The result Obtained by performing this Operation can be seen in Figure XII. v- 30 O4@—- _a 035”“ 03 I i I l l I I l IO 20 ’30 4O ’50 60 7O _77noe In ffllfl ”— FIG. XI GRAPH SHOWING RATE OP DECOMPOSITION OF POTASSIUM FERRATE IN 8N NAOH 31 I I I 09*— _i oa__ _J 0.7L:- ._ Took: fl I ”‘9 Qw- "b a \. ...4 -\\ u ..IIC curve 0 I ‘0 IOAI— ° _ O L ‘0 obso c a Que o o o x O _, \4 oce— _ 0.2 ...-.. I I0 I I 0 I0_ ‘_"‘2II-Q_/;/77 40 50 6 FIG.X|I GRAPH “MSHOWING RATE OP DECOMPOSITION OP POTA USIM FERRATE IN 8N NAOH A5 ARED WITH CALCULATED CURVCOE 32 Over the first segment of the graph, the calculated curve follows the Observed curve closely. lfter this initial reac- tion rate is passed, however, the calculated curve deviates considerably, the slope being less than the observed curve. When this deviation is passed, the two curves again agree closely. If the reactions proposed are accurate, this curve might be expected. In the first portion of the curve where the concentration of hydroxyl radicals is high, one would expect reaction (3) to exhibit its effect most strongly. As the concentration Of hydroxyl radicals decreases and the ferrite concentration increases, one would expect this reaction to ex- hibit a lesser effect and finally might become negligable. It is probable that the mass kinetics so employed in this work do not present the true picture of the over-all re- action, ie., the following (or somewhat analogous) reactions are probably present in the decomposition of Fe04': 1' no: 0» 2e- ~+reotz or FeOa' 2' PeO’z e e' -—d> Feoz‘ Since plus four iron seems to be unstable with respect to decomposition into the plus three and plus six oxidation states, it seems that the reverse reaction of 1' could be immeasurably fast while the same would hold for the forward reaction of 2'. Essentially, the observed reaction would in- volve the plus three and plus six species. 53 This study uncovered nO facts substantiating this supposi- tion; however, by utilizing these reactions lower moleculari- ties are permitted, increasing the probability of a reaction taking place. were 34 QONCLUSION§ In this study Of potassium ferrate the following facts observed: 1) Highly alkaline solutions Of potassium ferrate do not appear to be applicable to polarographic studies. 2) Potassium ferrate solutions can be measured by col- orimetrid methods; and at a wave length of SOQWAM, the solutions obey Beer's Law over the concentration ranges used in this work. 3) The kinetics of the reaction show the decomposition of potassium ferrate in alkaline media to be complex. The rate of this decomposition is definitely a function of the concentration of hydroxyl ions. 4) The decomposition is greatly accelerated by light. On the basis of the Observed data, the following mechanism was proposed to explain the decomposition of potassium ferrate in highly alkaline media at 30°C: (1) FeO4' e 2320 f; PeOz" 1- con- .. on“ (2) F004. e SOH'I~—> F002- r 3/202 9 OH. 9 H20 (a) con. fia- 3/402 . 3/2320 The kinetic data Observed in the study seem to substan- tiate these reactions. The data indicate that reaction (2) is the main reaction taking place after the first equilibrium reaction has been established. ’3 gPENDI; TABLE 2 RATE or DECOMPOSITION or too IN 4N NaOH AS FOUND BY POLAROGRAPHIC AMP neutrals TECHNIQUE e 0°C (0.01213 KzreO‘IZSOO 4N Neon)* Time In Min. Step Height Time In.Min. Stepcgeight :lO Sec. Cm :10 Sec. 5 12.90 100 5.55 10 12.90 105 5.55 20 12.95 111 7.10 50 12.15 125 6.05 55 10.90 155 5.50 40 11.05 145 5.50 ea 10.85 155 5.42 50 9.700 155 5.15. 55 9.700 175 4.50 70 9.100 195 4.15 75 5.050 195 4.00. 200 4.55 ‘ Data used for plotting Curve 1 in Fig. I. TABLE 5 RATE OF DECOMPOSITION 0F Kggeafi IN 4N HaOH 0 T A3 FOUND BY POLAROGRAPHIC AMP e 0°C (0.00953 121‘504/2500 a NaOH)’ Step Height Gm Time In Min. 310 Sec. 15 2O 25 50 55 4O 50 60 70 95 100 110 * Data used in plotting Curve 2 in Fig. I. 7.20 7.10 7.00 6.65 5.85 5.65 5.60 5.45 4.95 4.55 5.15 5.50 Time In Min. 1:10 Sec. 120 150 140 150 160 175 180 190 200 210 220 RIC TECHNIQUE 4.90 5.20 5.00 4.65 5.00 4.40 4.05 5.25 4.10 5.65 5.10 56 Step Height Gm TABLE 4* ABSORBTION DATA OF POTASSIUM FERRATE IN 8N NaOH MADE WITH A BICKMAN SPECTROPHOTOMETER Wave Slit 5 Tranl- Optical Length Width,d, fiiasion Density In.nw%/ In mm 1 D 520 0.602 15.8 .725 550 0.440 19.2 .614 540 0.545 25.8 .540 550 0.280 55.9 .447 560 0.218 46.2 .555 570 0.205 57.0 .244 330 0.178 65.5 .197 590 0.157 65.2 .186 400 0.140 65.8 ..190 410 0.125 60.5 .220 420 0.117 56.8 .246 450 0.104 52.9 .274 440 0.100 49.7 .504 450 0.094 47.0 .529 460 0.089 44.8 .550 470 0.084 42.7 .570 480 0.080 41.0 .587 490 0.075 40.0 .599 500 0.072 59.5 .402 510 520 550 550 560 580 600 620 “600 620 680 700 720 740 760 780 800 TABLE 4 (continued) a 0.069 0.068 0.007 0.000 0.069 0.071 0.077 0.100 0.109 0.100 0.190 0.170 0.102 0.120 0.119 0.110 0.100 0.102 0.099 0.090 T 41.0 42.0 40.1 44.3 40.7 47.1 02.2 00.0 67.0 74.0 09.0 07.0 70.7 02.9 01.7 79.7 77.9 70.0 70.1 76.0 * Data need in plotting Gurvel in Fig. II. '* Changed phototube .007 .070 .000 .000 .040 .020 .290 .202 .174 .128 .220 .170 .121 .000 .007 .100 .100 .117 .110 .116 58 TABLE 5* ABSORBTION DATA 0! ESSENTIALLI DECOMPOSED POTASSIUI FERRATE SOLUTION- TO SHOW EFFECT OF DECOMPOSITION PRODUCTS Wave 0110 % Trane- 0191:1001 Length lidth,d, mission Density Inrwafiy In In T D 500 1.975 75.5 .124 510 1.010 74.0 .105 520 0.645 82.9 .085 550 0.470 85.6 .068 540 0.570 87.5 .058 550 0.295 90.0 .046 560 0.247 92.7 .052 570 0.215 95.1 .021 580 0.186 96.5 .015 590 0.162 96.5 .015 400 0.145 96.5 .016 410 0.152 95.6 .019 420 0.120 95.0 .025 450 0.111 94.5 .025 440 0.104 94.5 .025 450 0.096 95.7 .027 460 0.090 95.4 .029 470 0.086 92.6 .055 480 490 500 510 520 540 560 580 600 625 .5625 650 675 700 725 750 775 800 TABLE 5 (continued) 6 0.081 0.077 0.074 0.071 0.069 0.069 0.072 0.080 0.101 0.150 0.176 0.145 0.150 0.118 0.110 0.104 0.099 0.095 T 92.5 92.1 92.2 92.5 92.9 94.0 94.2 95.0 95.5 97.1 97.7 98.7 99.0 99.0 98.7 98.4 98.2 98.7 * Data used in plotting Curve 2 in Fig. II. *9 Changed Phototubc D .054 .055 .054 .055 .052 .027 .026 .022 .020 .012 .010 .006 .005 .005 .006 .007 .008 .006 40 41 TABLE 6* DETERMINATION OF CONFORMITY 0F POTASSIUM FERRATE SOLUTION IN 8N NaOH T0 BEER'S LAW 30803 g: lfxln d In §** D** 0714 n ”M7 m 0.075 500 .046 57.5 .241 0.109 500 .046 47.2 .555 0.154 500 .046 50.5 .498 0.186 500 .046 25.8 .596 * Data used in plotting Fig. III. ** Readings made after a five minute period had elapsed from time of mixing. 42 TABLE 7* KINETIC RUNS OF THE DECOMPOSITION 0F POTASSIUM FERRATE IN 8N NaOH MADE 0N BECKMAN SPECTROPHOTOMETER AT 50°C. Run #1 0. 016g 02. 05 12!.04/10000 an NaOH s0.004 24- 000mg t Min D T t D T 0.0 0.001 20.1 00.0 0.000 44.2 0.0 0.011 00.7 07.0 0.040 40.0 7.0 0.469 04.0 40.0 0.000 44.0 10.0 0.440 00.9 40.0 0.000 44.0 10.0 0.411 00.9 40.0 0.000 40.1 20.0 0.002 41.4 00.0 0.004 46.2 20.0 0.067 42.9 00.0 0.020 47.0 00.0 0.009 40.0 70.0 0.016 40.0 Run.#2 0.0154g .04 (90. 0%)[10000 00 NaOH 4:0.00 2~=0oom4 t 0 r t 0 T 4.0 0.400 00.1 00.0 0.291 01.1 0.0 0.410 00.0 40.0 0.200 02.1 10.0 0.079 41.0 40.0 0.277 00.0 10.0 0.040 40.0 00.0 0.271 00.0 22.0 0.021 47.0 00.0 0.204 04.0 20.0 0.000 00.1 00.0 0.260 00.0 00.0 0.004 49.0 00.0 0.209 00.1 70.0 0.201 06.1 * Data used in plotting Fig. IV. TABLE 8* KINETIC RUNS 0F POTASSIUM FERRATE DECOMPOSITION MADE 0N BECKMAN SPECTROPHOTOMETER WITH VARIING CONCENTRATIONS 0F NaOH Run #1 0.0110g 62.5% 12F004/1000c 41! NaOH t Min. 1 D t T D 2.0 00.0 0.246 15.0 04.9 0.071 0.0 65.8 0.197 17.0 07.0 0.001 7.5 70.7 0.151 -20.0 00.5 0.000 10.0 74.0 0.126 27.0 94.0 0.027 10.0 01.0 0.090 00.0 90.5 0.040 Run.#2 0.01003 02.0% KgFeO‘/10006 50 NaOH t T D t 1 D 2.5 05.0 0.250 17.0 77.0 0.112 5.0 62.1 0.207 20.0 02.7 0.000 7.0 07.9 0.100 22.0 05.0 0.071 10.0 71.0 0.140 25.0 00.1 0.064 12.0 70.2 0.124 27.0 00.0 0.062 15.0 70.0 0.100 00.0 00.0 0.004 Run.#0 0.00903 02.0% léreo4/10000 6N Naflfi t I D t T D 2.0 01.0 0.290 17.0 79.0 0.100 0.0 07.2 0.242 20.0 00.9 0.090 7.0 00.2 0.107 22.0 01.4 0.004 10.0 69.0 0.161 20.0 00.0 0.077 12.5 70.0 0.107 27.5 00.0 0.071 10.0 70.0 0.117 TABLE 8 (continued) Run #4 0.01003 62.5% 520004/10000 7N NaOH t Min. '1' D t T D 2.5 ' .07.9 0.200 20.0 01.0 0.092 0.0 60.0 0.197 22.5 01.2 0.005 .7.0 64.7 0.190 20.0 02.9 0.002 10.0 70.2 0.150 27.5 04.6 0.070 12.5 09.7 0.100 00.0 00.5 0.000 17.0 77.1 0.112 00.0 00.2 0.065 Run.#0 0. 01003 62. 00 Kano4d /10000 05 0400 050° C.,/s:50m7. 630.055m t r t T D 2.5 49.0 0.006 17.0 02.5 0.204 5.0 02.1 0.204 20.0 00.0 0.100 7.5 04.9 0.201 22.5 05.0 0.100 10.0 00.0 0.207 25.0 06.2 0.100 12.0 00.0 0.221 27.5 66.0 0.170 10.0 61.2 0.210 00.0 07.5 0.171 Run #6 0.0105g 62.5% K2FeO4/10000 9N NaOH t 7 0 ’ t 7 0 2.5 00.0 0.270 17.0 04.0 0.194 0.0 00.2 0.200 20.0 00.0 0.100 7.0 05.0 0.250 22.5. 64.1 0.190 10.0 09.0 0.229 20.0 67.8 0.170 12.0 00.9 0.210 27.5 60.2 0.100 15.0 02.0 0.200 00.0 60.7 0.102 Data used in plotting Fig. V. TABLE 9* KINETIC RUNS OF THE DECOMPOSITION 0F POTASSIUM FERRATE IN 8N NaOH SATURATED WITH F020301320 d=0.054 kw: 500014 Min. T D t T D 0.0 24.0 0.014 00.0 20.1 0.501 0.0 24.0 0.600 00.0 20.4 0.040 0.0 20.4 0.097 40.0 20.0 0.541 10.0 20.0 0.094 40.0 29.0 0.001 10.0 26.0 0.000 00.0 29.9 0.520 , 20.0 25.0 0.070 60.0 00.0 , 0.010 20.0 27.0 0.000 70.0 01.1 0.500 Data used for plotting Fig. VII. 45 TABLE 10* KINETIC RUNS OF THE DECOMPOSITION 0F POTASSIUM FERRATE IN 4N NaOH AT 0°C. 0.01203 02.0% 027.04/10000 4N 0400 d = 0.052 mm z~= 000 mrt/ t n10. T 0 t T 0 15.0 42.0 0.070 90.0 40.7 0.010 20.0 42.0 0.070 100.0 01.5 0.209 20.0 42.9 0.060 105.0 40.0 0.017 00.0 44.2 0.054 120.0 00.2 0.000 00.0 40.0 0.010 100.0 01.9 0.270 05.0 40.0 0.010 100.0 02.5 0.200 70.0 49.1 0.000 100.0 00.2 0.200 90.0 40.2 0.000 2 Data used for plotting Pig. VIII. 47 TABLE 11" KINETIC RUNS OF THE DECOMPOSITION 0F POTASSIUM FERRATE IN 8N NaOH WITH GLASS WOOL ADDED TO REACTION VESSEL 0.0157g 92.5% K29004/10000 8N NaOH * Data used for plotting Fig. IX. 6. a 0.055 mm )0: 500 ”II/ t 210. T 5 t T n 0.0 20.0 0.000 00.0 41.0 0.007 0.0 20.0 0.000 40.0 42.9 0.002 7.5 00.9 0.012 01.0 44.0 0.052 10.0 02.0 0.490 60.0 40.0 0.040 10.0 00.1 0.400 70.0 40.2 0.000 20.0 07.0 0.420 00.0 47.1 0.026 20.0 09.4 0.400) 95.0 40.0 0.019 TABLE 12* 48 KINETIC RUNS OF THE DECOMPOSITION 0F POTASSIUM FERRITE t Min. 2.5 5.0 7.5 10.0 20.0 55.0 IN 8N NaOH IN THE ABSENCE OF LIGHT d 3 0.019 mm T 25.0 27.5 27.5 28.0 29.7 50.5 D 0.600 0.565 0.565 0.555 0.558 0.517 ,?~= 009,2«.7/ t T 0 50.0 01.0 0.009 60.0 01.0 0.000 00:0 02.0 0.490 100.0 02.0 0.409 120.0 00.0 0.400 140.0 00.0 0.400 * Data used for plotting Fig. X. 49 BIBLIOGRAPHY Bohnson, V. L. I'Cs.‘l‘:a1ytic': Decomposition 0! Hydrogen Peroxide,“ J. Phys. Chem.,‘§§, 19 (1921). , Bray, wm. C. and Gorin, M. H. “Ferryl Ion A Compound 0: Tetravalent Iron,” J. Am. Chem. Soc., 64, 21-24 1952 ., . . Grubs, G. and Gmelin, H. "The Electrolytic Formation of the Alkali Salts of Ferrous Oxide and Ferric Oxide,“ Z. Elektrochem, 26, 459-71 (1920). Kolthoff, I. M. and Lingane, J. J. Polagographi. New York: Interscience Publishers, Inc., 1946. Latimer, Wendell M.. The Ozigatiog States 3; the Element ggg Their Potential: in Agugoug Solutions. New York: Prentice-Hall, Inc., 1958. , Parks, 0. D, and Mellor, J. W. Mellor's Modern.lngt- gagig'Chgmigtzz. New York: Longman, Green and 00., 1959. . _ . . . Schreyer, J. M., Thompson, G. W. and Ockerman, L. T. “Oxidation of Chromium III with Potassium Ferrate VI," Anal. Chem., 22, 1426 (1950). Thompson, G. W., Qckerman, L. T. and Schreyer, J. M. ”Preparation and Purification of Potassium Ferrate VI,“ J. Am. Chem. 500.. 25. 1079-00 (1901). -:.vc I, .--*q 9- “o" ’-.———. r— .'_r_ - "4 . , . ,‘ - ‘3. _; _ _ ' ," l \ - '53.. l ‘_ 1 )1 e T T t“ - / u: n. r 7.. , 0 .\ ..\ '9 . ‘ . ,- ; , . .. ‘ J g \ . . . : . " CHEMISTRY LIBRARY r‘ ‘ 4 a ('3; 13' 7' 1~ ‘ ‘ ". >1 -.‘ T’zfl" .000‘452 4, n “x. \. ,» : °( ‘ \. . L , '13!“ . DJ t“. . h .1. , .. ,Q) Q ‘ . ‘ o A U h L \. \ ..0 "~' . 7 i ' - -. J I _ 1,. l _ __ e ' . \g _ 7‘ . 1' H665 31113179395. . I 3‘. “L . 1“- ' \ ' 4 e, ' '7 - -‘ - ' 5' . .l " I t i ‘ . ' . r 1 i - a“ I I . '1‘ ‘ .... .. J u ., L . _ . . 1 O .4- . t u , . J /’ . . ‘0 ’v ‘ \‘ - 4’ ‘ ' -- 4' f 4 , ‘ . Q ~ ', I. ‘n , . I V . ;\ 1 I. ' ‘0‘ ‘ ' ‘; u ’A ‘ . ‘ : ‘ , '3‘ ‘ f I; . . ‘2 .‘ 1 . , I]. ' ' ,1 V . ‘1 ' ‘ ' “ - , ‘1 If, ' . “V ‘ " 'l\‘ “u ’ A, .0 ‘- 'Q. . ' O ' - 2 . 1‘ '4 ’ _‘ t .‘ _. '. P ‘I . ‘ ’7'. ' I "Q J v ' ‘ ‘. - — “0‘. o ' A _ |- , .2. ‘. - A ,-' \l a - 9. .... .... - . " V‘- ’ . ' — 0". .o ' l ‘ I r . I J . I‘. c" 3 1' I ...' I; I 7: J l.~ ' -‘ I: - \ ... 4_- \ ( ‘I ‘ .f ‘ I .4 l J . u . . N L . ... .l ‘ ‘ J ' ! J. : _ 1‘ .y ' ‘ '.,‘ .L ’7’ r)!" e. 1 ' , i _, v .‘.I ' I ' 2. .. I ~ 3 I , . ’ \ - 7" - ' r. 4". _ 4).: ' ' 1. «$4,? . ... -‘ . _..._ ' . . . . ‘ .\ I}. , t' '3' o . '1‘; 3.- If" ,P -_ A o ’ .- } .Z . > " ' I c .P I. I . " I . .i d- , .q 5“ 1' 1i ' K ‘ ‘ -. o ‘1- ‘ ‘ I I ‘o'I. ‘(: l' . v . . '.l. _ .‘ - . l‘ - c K" ’. I ‘ J 1’ l‘ I \ g o . ~ 4 - +' 04!,7 -' 0 . - I » . . ' .' .. ‘. . , I I; ' .. _‘ ' I " r ’ \ I ' .1 " 3 I J . ‘ I - ... ‘»‘flr’ .p - ‘ .".. w). 14.14)” ,' _‘_ 0 .. ’ ‘| 'r‘ “-9 ‘4‘ w - i _' ' \ ‘ I ‘ . . u ’ ._ _ n.“ 1.. f ' 3-. j: ‘ .1 ' t_.. ‘ "f' '7 I a II‘ " w z ' '/ s v '. ‘ . 0 5 ' .. -\ 4 - st. , '. .. .w . pi. y ’ L H l ' . ' ‘ i‘ 1' ' ' ~ ‘ I . ‘ N 1 .l — "“L‘ h “I ‘ ‘ 9. I \ _ - V z‘. )2' ‘ . I - 7' '1‘ §__ . '{' ‘“~ ‘5' ' '1} . I“ ‘( ' f' ‘5‘ . ‘ . ‘ ‘.~ ,‘1 ( ' | e i I t . h . ‘ ' “ - H | .3! ‘ ”g: ‘- “‘0 x. " _' " ~’ . N" ' " ( ’e ' f "w" x, ‘ A". ‘ ' "4:. . .. - " ' ‘ c ‘ I . ' I .' "o ’1‘ 5 r' - I '1‘ \ \. 1' l :1 '. ‘ ‘ '{2 h‘ ‘ 5. _ ’ ‘ ‘f '0“ . 4 — v7 1}" . . a J .i . 4 ' I, ', 5 ~. "“2. ., -' .. . V - 5 2.0 2:; . ._..' ‘ .- l I I _ ‘ ., «LI ' . z _ ‘ . ‘ 4_ 1 .‘ f ‘ .' ' J r .’ j 1 Q I ‘ . .‘ -' ‘ I I ti‘l‘4 . '- '\ arm ' e. 4 . ‘ ' e I I '1 - ' e ' ' "I " .‘x K ‘1 2' . . 0'” 4. ' ' . 0» w» {r- l'; t 0', l‘ )" . ' ' ‘ .7 - _ . ‘ ~ . 'i " ‘e I. . 4 . v ’. i 1,4,5 5 ‘ I’v' . . I... I "f‘ l ‘ '4 ‘1 .0 _ I ‘l v 4 .. ‘ I ' , o. ' V . 1 l 1.), ' ' I . . . I 0' ’0’) {J ’ . ' {‘ ~I ‘ V ‘ 4' (v ...,“,‘ ' h " . - . .‘t- x. Lu). 40‘ SL.-':-! ' 5 5 1 - f 1» “ .l '5 e 5 'L’ 7 e , .‘y .4 I. ‘ . _ ‘ l a .1 L3 " ‘L._‘(('J :‘ .‘. " 1‘; ' ‘ ' ‘ ’ "‘Y ,1 n I" ‘ 1‘ 1- {fit '7- I' 4 1 Q‘ '. I C a" -- . ‘ ‘ J l' :- \ .Z' ‘ I I. i, ’9’ I . fl: )1 . ‘. ' ‘ z a) ’. ,1» ’( .IM 3 .‘ ’ , —. \ 'y, o I . _4 . ' 3 ‘_ 1.3 , ' 5 l\" ." .l. . "7’ Ff?" 0'0 11‘ A. ~ -_\ I .‘ 5*. \. f” ' W _r.o ,- 1 I. V] '1 t‘ \l ‘ ' - ' ‘\s‘ . .~ ‘ i‘ . ? I _ ; ’ ' .411 - I ‘ ~ 3. . d L . g ‘ _‘ - [a ‘ ‘_ D . '\’ u - . . if». . ' ' _ ‘ ; ’ . _ . ‘ ’ 1‘ . . '\ L _ .n ' . . r .. ‘ I ‘ ' \ ..- _ - . f, ._ .v - ' 1 _ ‘ . 0' 1 j,- } . O ' Q " ' _ ‘ 2' ; 'I' v 3' LI, I ’J' \ ' \. C x .-' ' e \/~ ‘I '. o- l I '. ‘ i I- . -. ’3 I .’ - ‘ 4 fl ‘0 I \ 1' \ - ' _ I ' 1 I . . r r -V ~ 1.. 1' ’ .7» '- 4 1 vv 1 , - I. g. . , ‘ v v. .. ' ‘1 _ .1 4 2‘ ‘ . ‘ , } . 4 ' - -1 , _ . . , a, 7. . - , . ..." -. a * «,0.» ' 1 \ --' " I . , . k. .. -I ’. V ‘ . fi ' _4 4 ’. k .I- ' 1" ‘f"\ - -‘ l ‘ , 1 _n‘ |‘A ' K t. .' 1 A ‘N C J: I ' Z' b .(15' ‘ ‘A' , ~ . - ' P5 . ‘ T! 1 . . '. ‘1‘. 1 (I ‘. A: .9 " u y". -..r‘ ‘i' ,s n4 .- . x ‘ , 1‘ . ‘ 3. J! I .7 '- e ‘4 ! J a) rr‘t‘l“. . r . '. 1 . I ‘4 ' . cl ‘ I" “ ~l L'. 2‘. ‘ o : .e' " _ ‘ i l- r I ’ I ~ . {I V‘\ I' 7 ~ (. \ .' h . ‘ ‘ ‘ ’ ' ' i J . e | '1. ‘_ _ I ‘ .-‘ IL '8 "g ’ i, f . ' i I) , ' h 5 :3 ' . . . / l k , " \ ; &}¥\_‘ 0 - ‘H' 1 fl . p s ‘4. , ‘ I ~ . . . ‘1‘ ( I ‘.; , . ' I .‘ . - J 71‘ e _ j a,“ ’ ‘\‘~. ‘ 0‘ I '. ,7 . ' . g - 5;, .1 _ -. > t ' l I r \ $ - .K . ’1 " v -- I I. I." “ '3‘, ‘ 9 I. ‘ -_ "III _ . fi; '7 \’ .‘ I r, fl. . " I. ' I )1," i , ' "‘fi. min. ‘- .»” . . . 7 ' - a . I -\ r . 4 ‘ 4.- s .1 l . i I ‘I . ‘ - J I l- I I.) 1 '! '.\ _ by -| ’_ 1 .0 x 7 y i I ', _ ‘ - L‘ ‘ - > ‘ - . ). ‘11 '_ I v’ . -_"' Xx _ ‘5' 3'"; ' ‘ ' y" 5-. a b . . I, ~, _‘-,.’. _ .. . ' , ; l x ". . g ‘ _ 0 \ '- Y .1“ . .‘. \5 ‘- p ‘ _ L h V. . - I v t ‘f" ’ l.. x k i ’ \. ‘ ' o ‘ r' "0 ‘ " q . I I V I ‘ '§ I . - ' 1' 'V . ) ’ . 3 ' I u‘ o . . .. ' If . '\ - 7 .I ‘ I e .(0 .' I. . I. - .. . J ,< ' i. ‘ .l ’ f . a. . ‘4 1’ ‘57 ‘1'. . W - . 4 a . r. 4 .‘ . - - ‘. -- «a» ': ‘ . I n ‘ w ‘5 , . .~ ‘I ' '1' 7 ' , . ' . . .13. 1" 1 l" t I“ ...-"I ‘7 I I ‘ 5' ° ' 1 -r, I‘ . 7,. .o_ h .- ‘I ,I '. . ’ . . ' ' . ' ' ~ _ . a l 7 ' ’ .. ‘ - .' . . ’ j .4 V I I I 'I. ‘ \ ; . ‘3 “1' ' 1’." . .1“~‘.(. '5, ‘ ‘6‘ ' I p’ , '4 . - pzl‘ ,9 VA f'~u.' ‘ N l 1 n‘. f L ' , “. I ‘ .' ~ 4| ‘ " 0 u ' . ' ‘ o . ; ‘ A , ‘ _ a 9 _ J - . . (g. ‘ ¥ 1 x ' .\..z. . \ \ ‘ .4\ . ‘ " .' . I, ' ~ '91] ‘7 _ “(”2 . '.r - M I. i 1‘} 5. w 1' ' '. A U". ' " {7 4'7 4 ' v . 4' \ "‘4 , " I4 \ I U' ' , ‘ ' . ( . K . n‘ . . L , a . , " . ‘7, ' ' - , l P 1' . I.‘ ‘ n4 ' . ‘ JV .7- . 4 . . w I . ,. - ' - -, ..- .r. “-2 W ' I . * A \ - y 1' ' . \ -‘. . “a y l . r y ‘ - _ ) . I" L J 4 I . . '. .7 ~4.\ - ‘5 II ’ T“) ‘4‘ ‘ 5., . L' _ ‘ 4'. | A n ' I _ ‘ Q :d’.f’ir ‘3 - ~ « - r I ----' ‘ - . \ -. . _ (‘3' ‘ ‘ ’l. '4 O‘”‘ \‘. 4 . I“ l ‘ " . " . ' . I ' . ’ ' \. 4.. 9 1 ‘ v‘ r ' x - - \ ( , ~ ~ - »-'» ~. \ ,2 ~ ' 5 .21.} - ’ 7 i ' ./ " .g '. . ‘ I \ h 4" ' ”'V-. ‘ ' , “ .1 A I. ’ ‘ -u - ‘~ '- 5 l ". '. .I ' 5‘“ l 1' .0 H ‘ . .- ’ . -.T ‘1 ~ " ~. «ch h‘ ‘ ‘ ' ‘ ' l ' ' '1 - “ "A “ " ' . z '. V 5‘ I "' ' \ ) ‘ I I . I. . . " ‘. ~ , ‘ .- p. f z 6 2:. ‘ - ~ - '