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R. GOLDMAN. 1979. Water and nutrient transport via groundwater from Ward Valley into Lake Tahoe. Limnol. Oceangr. 24: 1146-l 154 -, AND S. H. HACKLEY. 1988. The distribution of submerged macrophytes in Lake Tahoe, California and Nevada, and the possible influence of groundwater seepage. Int. Ver. Theor. Angew. Limnol. Verh. 23: In press. Limnol. Oceanogr., 34(l), 1989, 239-244 0 1989, by the American Society of Limnology and Oceanography, 239 MCCREARY, N. J., S. R. CARPENTER, AND J. E. CHANEY. 1983. Coexistence and interference in two submersed freshwater perennial plants. Oecologia 59: 393-396. N~NBERG, G., AND R. H. PETERS. 1984. Biological availability of soluble reactive phosphorus in anoxic and oxic freshwaters. Can. J. Fish. Aquat. Sci. 41: 757-765. OKW~EZE, E. E. 1983. Geophysical investigations of the bedrock and groundwater-lake flow systems in the Trout Lake region of Vilas County, northern Wisconsin. Ph.D. thesis, Univ. Wisconsin-Madison. 130 p. PIP, E. 1979. Survey of the ecology of submerged aquatic macrophytes in central Canada. Aquat. Bot. 7: 339-357. -. 1984. Ecogeographical tolerance range variation in aquatic macrophytes. Hydrobiologia 108: 37-48. SPENCE, D. H. N. 1982. The zonation of plants in freshwater lakes. Adv. Ecol. Res. 12: 37-125. TITUS, J. E., AND M. D. STEPHENS. 1983. Neighbor influences and seasonal growth patterns for I/allisneria americana in a mesotrophic lake. Oecologia 56: 23-29. WILSON, L. R. 1935. Lake development and plant succession in Vilas County, Wisconsin. Part 1. The medium hardwater lakes. Ecol. Monogr. 5: 207247. Submitted: 29 March 1987 Accepted: 12 August 1988 Revised: 28 September 1988 Inc Temperature dependence of Cu(I1) carbonate complexation in natural seawater Abstract-Cu(I1) carbonate complexation was examined in natural seawater between 5” and 35°C. The reaction enthalpy for the equilibrium Cl?’ + co,*- = CuCO,O, expressed in terms of total carbonate ion concentration, is -2.5 kcal mol-l. The formation constant sw@l= [CUCO,~] [cu*+]-1[co,*-],-‘, expressed in terms of total carbonate ion concentration in seawater, thus decreases by about 25% between 25” and 5°C. Acknowledgments This work was supported in part by NSF grants OCE 83-08890 and OCE 84-00548. We thank C. H. Culberson and A. J. Paulson for constructive criticism. It is generally appreciated that chemical complexation is a dominant factor affecting the behavior of trace metals in seawater. Solution complexation exerts important controls on metal bioavailability, toxicity, solubility, and adsorptive behavior. In view of the general importance of complexation on metal behavior in seawater, it is, at first sight, surprising that there is very little direct evidence that would allow a description of chemical complexation at temperatures appropriate to normal oceanic conditions. The vast majority of complexation inves- Notes 240 tigations performed in the laboratory are conducted at temperatures 1 20°C, although -90% of ocean waters (Montgomery 1958) have temperatures < 8°C. Toward the goal of obtaining metal speciation models appropriate to the normal range of oceanic conditions, we here describe investigations of the influence of temperature on Cu(I1) complexation in natural seawater. Copper was selected as an element of particular interest because of the important role of chemical complexation in influencing copper toxicity in natural aquatic systems (Spenser 1957; Johnson 1964; Steemann Nielsen and Wium-Anderson 1970; Sunda and Guillard 1976; Anderson and Morel 1978). Previous work on Cu(I1) solution chemistry has shown that dissolved copper in seawater is partitioned principally between organic complexes, CuL,,, and the inorganic species CUCO,~ (Bately and Florence 1976; Van den Berg 1982, 1984a; Zuehlke andKester 1983a,b; ByrneandMiller 1985; Sunda and Hanson 1987): + t-2Lorg9- = CU(Lorg)n(2-nq) + co32-. (1) In an attempt to produce quantitative copper complexation models appropriate to natural systems, it is useful to separate Eq. 1 into organic and inorganic components: CuCO3O Cu2+ + nL 0%q- * Cu(L,,),(Z-“4) (2) and cu2+ + O* (3) Quantitative characterization of Eq. 2 for a wide variety of organic ligands (Martell and Smith 1974, 1977, 1982; Smith and Martell 1975) indicates that the strength of Cu(II)organic ligand associations is remarkable for a divalent metal, generally surpassed only by Hg(I1) and Pd(I1). Investigations of the temperature dependence of reaction 3 appropriate to seawater are complicated by the interactions of C032with the major seawater constituents Na+, Mg2+, and Ca2+. In this work we have obviated the necessity of constructing a temperature-dependent major-ion seawater speciation scheme by conducting our investigations directly in natural seawater. co32- = cuco 3 According to such a procedure, complexation results are expressed in terms of total, rather than free, carbonate ion concentration. In previous CUCO,~ complexation work at 25”C, good agreement was observed between results obtained in natural seawater and simple synthetic media (Byrne and Miller 1985). With the same ultraviolet spectroscopic techniques used in previous trace metal-carbonate investigations (Byrne 198 1; Byrne and Miller 1985), we have conducted studies which apparently constitute the first direct examination of a trace metal’s temperature-dependent complexation behavior in natural seawater. The procedures used here closely follow the methods used by Byrne and Miller ( 1985) in UV spectroscopic examinations of Cu(II)carbonate complexation in seawater at 25°C: The absorbance of copper-enriched seawater, 5 x 10-6M Cu(II), vs. a copper-free seawater blank was monitored at 280 nm. Measurements were performed at 5”, 15”, 25”, and 3 5°C. Use of an open-topped 1O-cm cell housed in the temperature-controlled well of a spectrophotometer (Cary 17D) permitted simultaneous measurements of absorbance and pH. Our titrations were conducted between pH 8 and 5.6. About 30 titration points were obtained in each of our four experiments. Absorbances ranged between -0.125 and 0.005. Carbonate ion concentrations in our experiments ranged between -1 x lop4 M and 1 x lop7 M. Seawater solutions were titrated with HCl using calibrated Gilmont microburets. Measurements of pH were obtained on the NBS scale with a Ross combination electrode. Seawater was obtained from Gulf of Mexico surface water and diluted to S = 35 (see list of symbols). The initial total alkalinity (TA) of our seawater was obtained through potentiometric analysis (Culberson et al. 1970; Johnson et al. 1977). The results of a typical titration are shown in Fig. 1. In contrast to the work of Byrne and Miller (1985), the present study did not include seawater samples having greater than normal total CO2 concentrations. As a consequence of the much lower total CO2 levels and somewhat more acidic conditions (pH 5 8.0) in our study, our data analyses were conducted with a truncated version of the Notes 241 Symbols used in this work. Meaning Units A AO I 0 , 20 40 [CO;-], 60 1 80 MOLES/LITER 1 120 I 100 1 140 x106 Fig. 1. An example of our absorbance vs. carbonate ion concentration data is shown for a titration at 15°C. The pH in this experiment ranged between 8.01 and Solution absorbance Sum absorbance of Cu2+, CuCl+, and CUSO,~ liters2 mo1-2 cm-l Product of c, and J, A, BA eq liter-’ Borate alkalinity BO Sum concentrations of Cu2+, CuCl+, and CuSO,O divided by Cu2+ concentration CA Carbonate alkalinity eq liter-’ Reaction enthalpy kcal mol-I Bicarbonate dissociation constant Boric acid dissociation constant Total alkalinity eq liter-l Gas constant cal deg-’ mol-I Cu2+ hydrolysis constant mol liter-’ CuC030 formation constant liters rnol-’ CuCI+ formation constant liters mol-’ s0,2-p, CuSO,O formation constant liters mol-* CUCO,~ molar absorptivity liters mol-’ cm-* > Salinity 5.62. analytical equation used by Byrne and Miller (1985). Spectrophotometric data obtained in our seawater titrations were analyzed with the equation A Cu, x 10 an enthalpy for CuCl+ formation (Smith and Martell 1974) equal to 1.6 kcal mol-‘. In the absence of enthalpy data appropriate to CuSO,Oformation in seawater, and in view of the minor influence of copper sulfate complexation on our analyses, the term so,2&w42-l was assumed constant at all temperatures in this work. Total carbonate concentrations in our exA, + AJC032-lT periments were calculated with the rela= B, + &*[H+]-’ + ,Wp1[C032-]T (4) tionships where A is absorbance, Cu, is total copper CA=TA-BA (7) concentration, [C032-]T is the total molar concentration of CO 32-,A, is a constant in- and corporating the sum absorbance contribuCA = [C032-]T{2+(K;)-1[H+]}. (8) tions of Cu 2+, CuCl+, and CuSO,O (Byrne and Miller 1985), A, is equal to cl x sWfll TA was calculated as the initial seawater TA where tl is the molar absorbance of CuCO,O, minus the concentration of added HCl. BA and Jl is defined as was determined from pH and the total boron concentration (BT) in S = 35 seawater: [CuCO,O] & = [cu2+][co32-]T* (5) The term B, in the present work was approximated as I?. = 1 + cl&[C1-] + ,,,2-f?,[S0,2-]. (6) At 25°C we set &, = 0.57 and so,~-pl[S0,2-] = 0.10. At other temperatures cl@lwas calculated with the van’t Hoff relationship and BA = K/B x B&K/B + [H+]) (9) where B, = 4.2 x lop4 moles kg-l seawater. Bicarbonate (KG) and boric acid (KL) dissociation constants compatible with the NBS pH scale were obtained with Eq. 6 and table 3 in the work of Miller0 (1979), and [H+] is calculated as 10--pH. The term pl* in Eq. 4 presented some potential difficulties in our analysis since previous careful work at 25°C has produced 242 Notes Table 1. CuCO,O complexation results. The parameters log &3, and log A, determined in each of our leastsquares analyses are shown together with 95% CL. reflecting the precision of each estimate. Temp (“K) BO 1% PI* 1% SWBI 278.15kO.l 288.15kO.l 298.15kO.l 308.15 aO.1 1.36 1.39 1.42 1.45 -8.74 -8.42 -8.11 -7.82 4.79,+0.01 4.85,+0.01 4.91,+0.01 4.98,kO.Ol I%*estimates at variance by nearly a factor of three. Our studies (unpubl.) using the NBS pH scale and the Tris (free H+) scale over a range of temperatures have demonstrated that offsets between the NBS scale and free H+ scale in seawater are small compared to the observed uncertainties in PI*. In order to assessthe role of p,* uncertainties in our analysis, we examined the &3i results provided by a range of p,* estimates. The pi* estimates used in our study follow from the assessments of Van den Berg (19843) and Paulson and Kester (1980) at 25°C plus the estimate AH = 12.0 kcal mol-l (Baes and Mesmer 198 1) for the first Cu2+ hydrolysis step: Cu2+ + H20 = CuOH+ + H+; &* = [CuOH+][H+]/[Cu2+]. (10) With the procedures outlined above, we used Eq. 4 in nonlinear least-squares analyses of our spectrophotometric titration data (A, [C032-]T, [H+]). Best-fit estimates for A,, Al, and Jl were obtained as in previous work (Byrne and Miller 1985). Our results (e.g. Fig. 1) indicated that bestfits (Table 1) of our data were obtained through calculations consistent with the pi* (25°C) work of Paulson and Kester (1980). A linear least-squares analysis of our swpl data with the van? Hoff relationship (Stumm and Morgan 198 1) provides a concise summary of our formation constant results: bA, 8.269+0.006 8.32940.008 8.39OkO.007 8.457kO.004 Our enthalpy results indicate that &r decreasesby about 25% between 25” and 5°C. Alternative choices of PI* and AH (hydrolysis) have a minor influence on this conclusion. Using hydrolysis enthalpies equal to 9, 12, and 15 kcal mol-1 and the pl* (25°C) value of Paulson and Kester (1980), we obtained best-fit nH estimates within the range 2.37 I AH I 2.63 kcal mol-l. Formation constants obtained with the value PI* (25°C 0.7 M) = 10-‘.(j6 (Van den Berg 1984b) and a hydrolysis enthalpy equal to 12.0 kcal mall’ provided log sw@lvalues -0.04 units smaller than our Table 1 results and a calculated AH value only 0.3 3 kcal smaller than our best-fit (Eq. 12) estimate. In addition to our direct examination of the temperature dependence of &i, it is possible to use our A, data (Table 1) to assessnH. For comparative purposes we have also shown our best-fit sw@lresults (Fig. 2). Although assumed pi* values consistent with I ’ I ’ I 1 1 ’ I - 8.5 - 8.4 4.9 - log &?, = 6.740 - 542.1(1/T). - 8.2 (11) 4.8 - The slope of Eq. 11 is equal to nH/2.303R, where R is the gas constant. Consequently, our enthalpy estimate for CuC030 formation appropriate to S = 35 seawater is calculated as AH = (2.48k0.29)kcal mol-l (12) with indicated 95% C.L. 3.2 3.3 3.4 3.5 3.6 +x103 Fig. 2. Least-squares fits are shown for our formation constant data (,&I,), and for the product A, = x &?, where E, is the CuCO,O molar absorptivity. ;he slope of log ,,$I1 vs. T-l is expected to be slightly more negative than for log A, vs. T-l because t, is expected to increase with decreasing temperature. Notes 243 of Cu(I1) is Table 2. The inorganic complexation the PI* (25°C) estimate of Van den Berg dicalculated for S = 35 seawater at 25” and 5°C. For all minished our calculated log swfll values by conditions the carbonate alkalinity has been set equal N 0.04 units, concomitant changes in log A 1 to 2.1 x 10m3eq liter-l. The carbonate ion concentrawere of the order of only 0.004. Since A, is tion is calculated with Eq. 8 with -log K; (25°C) = identified as the product cl x sw@1, a fit of our 9.109 and - log Ki (S’C) = 9.391. Copper carbonate formation constants are calculated with Eq. 11. The log A I data against 1/T should provide an CU(CO,),~formation constant used in this calculation appropriate assessment of nH if c1is nearly at 25°C was taken from the work of Byrne and Miller constant. It is generally observed that molar (1985): log s~2 = 7.58. At 5°C we assumed log Jz = absorptivities increase slightly with de- 7.45. This assumption implies that m = 0 for the creasing temperature. Consequently, the reaction CUCO,~ + COj2- = CU(CO,),~- in seawater. best-fit to our log Al data shown in Fig. 2 Fraction of total inorganic Cu(U) produces the estimate AH >, 2.5kO.4 kcal 25°C 25°C mol-1 with 95% C.L. Although previous (pH 8.2) (pH 7.6) (pAT.2) (pAT.6) Species work provides no basis for direct compar- cuc0,0 78.3 58.2 80.2 73.2 isons with our seawater nH results, pre- CU2f 10.5 28.7 4.6 14.3 10.3 1.9 6.0 3.8 vious carbonate complexation studies pro- CuCl’ + cuso,o 5.7 4.4 3.1 2.0 duced the following estimates for Mg2+ and CuOH’ 7.6 2.0 4.3 0.9 cu(co,),zCa2+ complexation in pure water (Martell and Smith 1982): A survey of enthalpy data for organic li~WWOsO) = 3 kcal mol-I, and gands indicates that temperature-induced nH(CaCO,O) = 3 kcal mol-l. changes in reaction 2 are of a similar magThe Fig. 2 fit of our formation constant nitude. For many organic complexation reresults indicates that the log Jl value at actions (Martell and Smith 1977, 1982) the 25°C consistent with our entire Jl data set enthalpy change associated with Eq. 2 is of is log Jl = 4.92. This result is in good the order of - 5 kcal mol-* 5 AH I 0. This agreement with the results of Byrne and modest increase in Cu2+-organic ligand afMiller (1985) at 25°C: log swpl = 4.88. Both finities with decreasing temperature is charof these estimates in turn are in good accord acteristically offset by concomitant enthalpy with formation constants derived from work changes in organic ligand protonation conat 25°C in 0.7 M NaClO,: at 25°C in 0.7 M stants, -10 kcal mol-l I AH I -5 kcal NaClO,, Byrne and Miller (1985) obtained mol-l, so that in most cases Cu2+--organic the result ,& = [CUCO,~]/([CU~+]M,,,~- = ligand complexation should also exhibit 2.39 x 105, where M,,+ = [COJ2-] + modest decreases between 25” and 5°C. [NaCO,-1. This result can be combined with Consequently, as a first-order assessment, the assessment log J,/p’i = -0.447 (Can- we conclude that reaction 1 will exhibit only trell and Byrne 1987), yielding the result a small temperature dependence in seawalog swfll = 4.93. Alternatively, the estimate ter. ,G,= [CUCO,~]/([CU~+][CO,~-]) = 5.32 x lo5 Alan L. Soli (Byrne and Miller 1985) plus the estimate [co32-]/[co32-]T = 0.15 40.0 1 in seawater Collegium of Natural Sciences (Miller0 and Schreiber 1982; Whitfield Eckerd College 1979) produces the result log &3i = 4.90. St. Petersburg, Florida 33733 Although the change in sw@lwith temRobert H. Byrne perature in seawater is small, it should be recognized that the temperature depen- Marine Science Department dence of Kt2, the bicarbonate ion dissocia- University of South Florida tion constant, is such that at constant pH St. Petersburg 3370 1 [C032-]T decreases by approximately a factor of two between 25” and 5°C. Conse- References quently reaction 3 is shifted significantly to ANDERSON, D. M., AND F. M. M. MOREL. 1978. Copthe left as the temperature of seawater is per sensitivity of Gonyaulux tamarensis. Limnol. Oceanogr. 23: 283-295. lowered at constant pH (Table 2). 244 Notes BAES, C. F., AND R. E. 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