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Journal of Resea rch of the Nat ion al Bureau of Standa rds Vol. 59, No. 6, De cember 1957 Research Paper 28 11 Increased Chemical Reactivity of the Surface Compared With That in the Bulk Volume of Britton- Robinson Universal Buffers Robert G . Pike and Donald Hubbard A dir ect compari son of th e chemical rea ct ivi ty at the s urf ace with t.h at in bulk v olume of buffer solution s over th e range pH 7 to pH 11.8 was made, 01 5 glass as th e indicator. By obse rving inte rf e rome trically the s urf ace alt er at IOn s of op tically flat specimens brought a bout by expos ures to a q.u eou s buffer solutIOns con- dition s of t ime te mp e ratur e, and pH it was po ssible to evalu ate, at least se mlquant ltat lvely, the difference be tween th e chemical react ivity of t he s urf ace a nd th e bulk volume of th e s olu tion s. For the buffer at pH 7 t he s urf a ce r eact ivity appea red to corres pond to a hy drog en io n activity of pH 9.4. Th e a pp are nt concentra tion differential b et ween th e s urface a nd bulk volum e fall s off sha rpl y for buffers of in creased pH, a moun tlllg to onl y 0.2 pH Ul1I t for th e buff er at pH 11.0, and becomes nond etectabl e at pH the che m- ical dur a bili ty charac te ristics of the glass were such th at no diff ere nt iat io n C OUld . be made b et ween t he hydro gen ion act ivity of t he s urf ace a nd th e bu lk volumc III solutIOns mor e acid than pH 7. 1. Introduction Although dir ect experimental verification is often difficult, th ere is abundant th eoretical evidence that th e concentration at th e surface of a solution may differ considerably from th e bulk-volume concentra- tion. J. Willard Gibbs emphasiz ed this point when he deriv ed hi s math emati cal re lation between surfa ce concentration and surface tension [1 ).1 Tbis rela- tion, as simplified and expand ed by Wolfgang Ostwald is U= - c/RT-d'Y/dc, wh er e u is excess solute in unit surface, c is conce ntration or acti vit y, and 'Y is surface tension [2 J. Inspection of this equa tion reveals that if surface tension 'Y increases with the concentra t lOn th en u is negativ e and the surface conce ntration is less than the concentration of th e bulk of the solu- tion. Howev er , if 'Y decr eas es as th e increases, u is positive and th e surface con ce ntr a tlOn is gr eat er than th e concentration of th e bulk volum e. Finall y, if the surface tension is independ ent of the concentration, th en the concentration of th e solut e in both the surface lay er and the bulk of the solution will be th e same. Z In a pr evious inv es tigation into th e relation be- tween chemical durability of glass and the volta:ge anomalies of th e glass electrode, a pronounced lll- cr eased reactivity on optical glass fiats by the face of Britton-Robinson universal buffer solutIOns had been noted [5]. The present investigation was und ertaken to s tudy these effects syst ematic ally over an ext ended pH range. 2. Experimental Procedure Instead of using surface te nsion as an uncertain and unint erpr etabl e indi cator of concentration dif- ference in th e complex buffers used, the increased I Figures in bracket s indicate the li terature referen ces at tbe end of this 2 Gibbs' equation bas been veri fi ed [ 31 and t he dIfferen ce III concentratio n between tbe bulk of the lI quid and the sur face dete nmned for different substances by several methods [4]. chemical activi ty at th e surface compared with that in th e int erior of the solution (bulk volume) was s tudi ed on a glass of known durability chara cteris- tics in order to obtain dir ect comparison of th e hy- drogen ion activity [H+J a.t . th e surface in bulk volume. A glass sensItive to a tta ck 111 alkalme solutions and having a composition near th e low es t melting eut ectic of th e soda-lime-s il ica ternary phase equilibrium diagram , viz. , 23% of Na20, 5% of CaO, and 72 % of SiOz (Corning 01 5 glass) was selected as th e indicator in this st udy [6 , 7, 8J. Glass was cho sen primarily bec au se its use oxygen as a possible cont ributin g fac tor in th e lIl te r- pr et at ion of r es ults. . . Small sp eCImens of thIS glass havlllg surfaces suf- fi ciently fiat a nd well polished to give satisfactory in terferen ce band s wh en placed beneath a fused silica optical flat, were exposed by parti al immer sio!1 in a series of buffer solu tions und er con trolled condI- tions of time temper'atur e and pH . This proce dur e , , 1 · ' h leaves a portion of th e specimen un expo sec to er the surface or th e bulk volume of the test solutlOn. Th e excess chemical activity of the surfa ce (att ack on th e glas s) compar ed with that of th e bulk v?lume of th e solu t ion was obtained from the alt eratIOn of the int erference patt ern caused by exposur es of 6 hours at 80 0 C. Th e solutions employed were Brit ton-Robin son universal buffers because with th ese a controlled pH range from pH 2 to pH could. b e obtained without introdu cing an y new speCl es [9J. ically, th ese buffers consist of a mIxtur e of phosphorl ?, acetic and boric acids in which th e d es lred pH IS by adding th e prop er amount of sodium hydroxide. . . The experiment s were performed wl th a thm lay er of liquid p etrola tum on t!:e surfa ce th e buffers to minimize evapora tion durm g the penoel of th e test. Thi s simplified procedur e was accept ed a:nd adopted only after ascertaining that exposur e 111 a do sed 411

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Page 1: Increased chemical reactivity of the surface compared with ... · TABLE 1. Chemical dumbility of Coming 015 glass over an extended pH range Buffers pH 2.0 3.0 4.0 5.0 6.0 6.5 7.0

Journal of Resea rch of the National Bureau of Standards Vol. 59, No. 6, December 1957 Research Paper 28 11

Increased Chemical Reactivity of the Surface Compared With That in the Bulk Volume of Britton­

Robinson Universal Buffers Robert G . Pike and Donald Hubbard

A direct comparison of the chemical r eactivi ty at t he surface with t.hat in t~e bulk volume of buffer solutions over the r ange pH 7 to pH 11.8 was made, us~ng Cornll1~ 015 glass as the indicator. By observing in terferometrically the surface alteratIOns of opt ically flat specimens brought about by exposures to aq.ueous buffer solutIOns undercontr~ll e~ con­ditions of t ime temperature, and pH it was possible to evaluate, at leas t semlquantltat lvely, t he difference between the chemical react ivity of t he surface a nd the bulk volume of the solutions. For t he buffer a t pH 7 t he surfa ce reactivity appeared to corres pond to a hydrogen ion activity o f pH 9.4. The apparent concentra tion different ial between th e surface and bulk volume falls off sharply for buffer s of in creased pH, a moun tlllg to only 0.2 pH Ul1I t for the buffer at pH 11.0, a nd becomes nondetectable at pH 11. ~. Unfo r ~un atel y t he chem­ical durabili ty characteristics of t he glass were such that no d ifferentiat ion COUld. be ma de between t he hydrogen ion act ivity of t he surface and the bulk volumc III solutIOns more acid t han pH 7.

1. Introduction Although direc t experimental verification is often

difficult, th ere is abundant theoretical evidence that the concentration at the surface of a solution may differ considerably from the bulk-volume concentra­tion. J . Willard Gibbs emphasized this point when he derived his mathematical relation between surface concentration and surface tension [1 ).1 Tbis r ela­tion , as simplified and expanded by Wolfgang Ostwald is U = - c/RT-d'Y/dc, where u is excess solute in unit surface, c is concentration or activity, and 'Y is surface tension [2J.

Inspection of this equation reveals that if ~h e surface tension 'Y increases with the concentra tlOn th en u is negative and th e surface concentration is less than the concentration of the bulk of the solu­tion. However , if 'Y decreases as the concentrat~on increases , u is positive and the surface concentratlOn is greater than th e concentration of the bulk volume. Finally, if the surface ten sion is independent of the concentration, then the concentration of the solute in both the surface layer and the bulk of the solution will be the same.Z

In a previous inves tigation into the relation be­tween chemical durability of glass and the volta:ge anomalies of the glass electrode, a pronounced lll­

creased reactivity on optical glass fiats by the ~ur­face of Britton-Robinson universal buffer solutIOns had been noted [5]. The present investigation was undertaken to study these effects systematically over an extended pH range.

2. Experimental Procedure Instead of using surface tension as an uncertain

and uninterpretable indicator of concentration dif­ference in the complex buffers used, the increased

I Figures in brackets indicate the li terature references at tbe end of this pap~r. 2 Gibbs' eq uation bas been veri fied ex ~e r i mentan y [31 and the dIfferen ce III

concentration between t be bulk of the lIquid and the surface detenmned for d ifferen t substan ces by several met hods [4].

chemical ac tivity at the surface compared with tha t in the interior of the solu tion (bulk volume) was studied on a glass of known durability characteris­tics in order to obtain direct comparison of the hy­drogen ion activity [H+J a.t . the surface ~nd in ~he bulk volume. A glass sensItive to a ttack 111 alkalme solutions and having a composition near the lowest melting eutectic of the soda-lime-silica ternary phase equilibrium diagram, viz. , 23% of Na20 , 5% of CaO, and 72 % of SiOz (Corning 01 5 glass) was selec ted as the indicator in this study [6 , 7, 8J. Glass was chosen primarily because its use elimi~lated oxygen as a possible contributing factor in the lIl ter-pretation of ~he results . . .

Small speCImens of thIS glass havlllg surfaces suf­ficiently fiat and well polished to give sa tisfactory in terference bands when placed beneath a fused silica optical flat , were exposed by partial immersio!1 in a series of buffer solu tions under con trolled condI­tions of time temper'ature and pH. This procedure , , 1· ' h leaves a portion of the specimen unexposec to Cl ~ er the surface or the bulk volume of the t es t solutlOn. The excess chemical activity of th e surface (attack on the glass) compared with that of the bulk v?lume of th e solu t ion was obtained from the alteratIOn of the interference pattern caused by exposures of 6 hours at 80 0 C .

The solutions employed were Bri t ton-Robinson universal buffers because with these a controlled pH range from pH 2 to pH ~l.~ could. be obtained without introducing any new 101~IC speCles [9J. B~s­ically, these buffers consist of a mIxture of phosphorl?, acetic and boric acids in which the deslred pH IS obtai~ed by adding the proper amount of sodium hydroxide. . .

The experiments were performed wl th a thm layer of liquid petrola tum on t!:e surface o~ the buffers to minimize evaporation durmg the penoel of the t est . This simplified procedure was accepted a:nd adop ted only after ascertaining that exposure 111 a dosed

411

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L

system without an oil layer did not give appreciably ·different results .

3 . Results and Discussion

Figure 1 shows typical examples of interference patterns obtained for specimens of Corning 015 after partial immersion in buffers of different pH values for 6 hours at 80° C. In each of the photographs the lower part of the field is that of the immersed portion of the specimen, which when compared with the unexposed portion of the field gins the surface alterations of the specimen brought about in the main bulk and at the surface of the buffer. For the portion of the specimen exposed to the buffcr at pH 4 (fig. I ,A) the displacement of the fringes to th e left indicate a swelling of about 2/10 fringes. Such swelling is characteristic of many glasses in acid buffers [10, 11] . At pH 7 (fig. 1,B) and at pH 9 (fig. 1,0) a perceptible swelling for the portion of the specimcn exposed is evident in the bulk solu­tion, but a distinct attack or surface cut (i. e., a displacement of the fringes to the right) appears at the surface of the solution. Such surface cuts were noted and briefly discussed in an earlier publica­tion [5]. At pH 10 (fig . I ,D ) the specimen exhibits attack for the immersed portion with additional attack at the buffer surface.

Figure 2 shows the composite curve obtained when these and additional data from table 1 ·were plotted with surface alterations as the ordinates and pH as the abscissa. The closed circles represent the values found for alteration of the specimen occuring in the bulk volume of the solution. The open circles give the accompanying attack (surface cut) attributable to the chemical activity of the surface of the solu­tion. Inspection of figure 2 reveals that these sur­face cuts may be interpreted directly in terms of the effective pH for the surface of the buffer solutions. For example, for the buffer at pH 7 the alkalinity of its surface has caused an a ttack on the glass equal to the bulk-volume attack caused by a buffer at

2 . 8

• 2 .4

2 .0 Ul w

'" ~ 0:: 1 .6 LL

z· '2 I-<! 1.2 0:: w I--' <!

/

rI:_ I 1(- ,I , 1

w .8 / 1 <.) , 1

<! LL B / IA 0:: ::0

.4 Ul ~--~ ' I 1

0

/1 ~_l

r---------__________ ~~_~~I --¥~~~+_----~ C)

z ::J -' ~ -4 <f) 0

FIGURE 2.

14

pH

Chemical durability characteristics of Corning 015 glass over the range pH 2 to pH 11.B

E xposure 6 hours at 80° C. A, Surface alteration of the specimens in the bulk volume of t he burTers; E, surface alteration of t he specimens brought abou t by the increased surface reactivity of the bullers.

pH 9.4 . In other words the surface of the buffer at pH 7 appears to be more alkaline than the bulk­volume value by at least 2.4 pH units. Similarly for the buffers at pH 8 to pH 11 .8, the observed differences are given in table 2.

At pH 11.8 the effective reactivity of the buffer and that of its surface either approach the same value, or the use of this glass as an indicator loses its effectiveness. This latter suggestion can be dis­missed, because from the ascending shape of the chemical durability curve it is eviden t that the glass

FIGURE 1. Interferometric patterns illustrating the chemical durability characteristics of Corning 015 glass f or exposures of 6 hours at BO°C.

A, Pattern for pH 4. illustrating the swelling generally initiated by acid buffers; E, pattern for pH 7 showing Slight attack at the buffer surface and swell ing below; C, pattern for p H 9 illustrating liberal attack at the buffer surface and swelling below; D, pattern for pH 10 exh ibiting attack for the immersed portion with additional attack at the buffer surface.

412

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,--

TABLE 1. Chemical dumbili ty of Coming 015 glass over an extended pH range

Buffers

pH 2.0 3. 0 4.0 5.0 6. 0

6. 5 7.0 8.0 9.0

10. 0

It. 0 11.8

Altera tion of the specimens after exposure to t he following buffers for 6 hours at 80° 0

Swelling

Fringes < 0.2 < . 2 < . 2 < . 2 < . 2

<. 2 < .1

.1 (.)

Attack Surface cut

Fringes Fringes

< 0.1 >. 1 < .5

0.25 1

> 1 1.2 2.5 2. 5

• Detectable swelli ng.

TABLE 2. I ndicated surface pH of var'ious bu./Jers in the alkaline range

Oompiled fro m figure 2

Bulk-volume Surface Difference alkalin ity alkalinity

pH p H pH 7 9. 4 2. 4 8 9.6 1.6 9 10. 4 1.4

10 10. 9 0. 9 11 It. 2 .2 11 . 8 11.8 .0

FIG U R E 3. Fabry-Perot interf erometric pattern f or specimens ex posed at pH 11 .8 f or 1 hour at 80° C, showing the absence of any excess surface reacl1:vity at this high alkalinity.

should be a very sensitive indicator a t this high alkalinity. The attack by th e bulk volume for 6 hours at pH 11.8 was so large, it was fear ed tha t any accompanying surface cut migh t have b een obscured . To ascertain for sure if such a cut did or did not exis t another specimen was given a I -hour exposure at pH 11.8. Inspection of figure 3 obtained with the Fabry-P erot interferometric technique [12] reveals no indication of an excess surface a ttack. The r eason for the surface and the bulk volume of the

buffers exhibiting equal activities a t high alkalini ties m ay be (a) that the surface approaches satura tion or (b) that Lh e same molal' ch ange for th e surface at pH 11 .8 that appeared at p H 7 would be a very small pH change indeed at the higher concentration .

Unfortunately no data were obtainable in the aciel r ange because this glass gives a small un iform swelling over the range pH 2 to pI-I 6.5, making any differentiation of ac tivity between the s urface and bulk volume impossible.

4 . Concluding Remarks

The differ ence in chemical r eactivity at th e surface and in the bulk volume of buffer solutions has been examined over a broad pH range using Corning 015 glass as the indicator. This glass served as an accep table indicator over th e range pH 7 to pH 11 .8, but was ineffective for buffers more acid than pH 6.5 . The increased chemical r eactivity of the surface of buffers may b e in terpreted in terms of an in crease in the effective pH at the surface of the buffer solu tion . This differ ence in effec tive pH between the surface and bulk volume was greates t ncar pH 7 wh ere it vms to b e expected, and decreased with incr easing pH.

Liquid-line corrosion has been observed on m any su bstances oth er than glass. Examples are calcite in hydrochloric acid, sucrose and sodium carbona te in water [1 3], and metals in aqueous solutions [14] . Several theories have b een advanced to accoun t for the surface cu ts in th e cases ci ted , bu t none of these theories alone arc compatible wi th the data obtained in the present study . For example : (1) Increased oxygen con ten t at the surface of the liquid can be eliminated from consideration because a m aterial was used that was already oxidized ; (2) increased difl'usion raLe of active ions, increased r eaction at the surface, or protection of th e main body of the specimen by the downward streaming of r eaction products might explain th e in cr eased surface attack in some systems, bu t for th e Corning 015 glass a change from swelling in the body of the solu tion to attack at tb e surface (as shown at pH 7) can be accounted for only by a change in alkalinity at the surface of the liquid.

In analyzing th ese r esults, i t is important to poin t out that knowledge of the value of the pH of a solu­tion is no t sufficien t to predict its ch emi cal reactivity. The attacking ions must b e of a type that will form soluble compounds with the consti tuen ts of th e glass network. For example, most glasses ar e iner t to an aqueous solu tion of N H 40H at pH 13.3 [15]; yet th ese same glasses will b e attack ed r apidly by N aOH prepared a t an equivalent pH. Thus, th e r esults obtained in the presen t study do no t apply to all alk aline solutions of varying pH but only to the particular series of buffers used .

From inspection of the photographs it can b e seen that some gain in accuracy and increase in sensitivity of the m ethod can be obtained by improving the quality of the polish and optical flatness of the sur­faces of the sp ecimens. It was shown that fur th er refinem ent could be brought about by increasing the

413

Page 4: Increased chemical reactivity of the surface compared with ... · TABLE 1. Chemical dumbility of Coming 015 glass over an extended pH range Buffers pH 2.0 3.0 4.0 5.0 6.0 6.5 7.0

sensitivity of the interferometer by employing the Fabry-Perot [12] or the Saunders' multiple reflection techniques [16].

There is at least one other particularly interesting observation from these data that is not primarily concerned with the surface versus bulk-volume con­centration of buffer solutions, but should not be overlooked. For example, inspection of the in ter­ference patterns of figure 1 shows at a glance why glass specimens partially immersed in aqueous solu­tions should be mechanically weakened at the liquid­air interface.

5. References

{l) J . Willard Gibbs, Trans . Conn. Acad. 3, 439 (1876). [2) F. H. Getman and Farrington Daniels, Outlines of

theoretical chemistry, p. 236 (John Wilcy & Sons, Inc., New York, N. Y., 1931).

(3) James W. McBain and C. W . Humphreys, The micro­tome method of the determination of the absolute amount of adsorption. J. Phys. Chem. 3G, 300 (1932).

[4) 'vV. C. M. Lcwis, An experimental examination of Gibbs' theory of surface-concentration, regarded as the basis of adsorption, wit h an application to the theory of dyeing, Phil. Mag. 6th series 15 (1908).

{5) Donald Hubbard, E. H . Hamilton, and A. N. Finn, The effect of the solubility of glass on the behavior of the glass electrode, J. Research NBS 22, 339 (1939) RP1l87.

(6) Malcolm Dole , Glass electrode, p. 68 (John Wiley & Sons, Inc., New York, N. Y., 1941).

[7) D. G. MacInncs and M. Dole, The behavior of glass electrodes of different compositions, J. Am. Chem. Soc. 52, 29 (1930).

[8) G. W. Morey and N. L. Bowen, The ternary system sodium metasilicate-calcium metasilicate-silica, J . Soc. Glass Tech. 9, 232 (1925).

[9) T. S. Britton, Hydrogen ions, 2d ed. table 57 (c) p . 225 (D. Van Nostrand & Co., Inc., New York, N. Y ., 1923) .

[10) Donald Hubbard, Mason H. Black, Sylvanus F . Holley, and Gerald F. Rynders, Electrode function (pH response) hygroscopicity, and chemical durab il ity of sod'l-pot!l,sh-silica glasses, J. Research NBS 4oG, 168 (1951) RP2189.

[11) Donald Hubbard and Given W. Cleek, D euterium and hydrogen electrode characteristics of lithia-silica glasses, J . Research NBS 409, 267 (1952) RP2363.

[12) Jenkins and W'hite, Fundamentals of optics, 2d ed, p. 264, Faury-P~rot Iu Lerferu'neLer (McGraw-Hill Book Co., Inc. , New York, N. Y., 1950).

[13) W. Spring, Uber eine zunahme chemischer energie an der freicn obcrflache fiussiger korper, Z. Physik. Chem. 4 (1889) 658.

[14) E. H . Hedges, Liquid-line corrosion, J . Chem. Soc., p. 831 (1926).

[15) Donald Hubbard and Gcrald F. Rynders, Voltag ~ anomalies of the glass clectrode and the chemical durabi lity of the glass, J . Research NBS 39,561 (1947) RP1848.

[16) J . B. Saunders, High se nsit ivity interferometer for measurement of phase shifts and for other applications, Proceedings of a symposium on gage blocks held at the National Bureau of Standards, Aug. 11 and 12, 1955.

' VASHINGTON, May 10, 1957.

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