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Variation of Sodium and Chloride Concentrations with Rainfall Intensity in Hawaiian Trade Showersl ROBERT A. DUCE, YUK-BoN SETO, and JARVIS L. MOYERS2

ABSTRACT: The variation of sodium and chloride concentrations with rainfall in­ tensity in Hawaii was investigated in 13 trade wind showers. The variation was found to be inversely dependent on rainfall intensity, although the ratio of Na to Cl appeared to be independent of the intensity. Several factors which may affect the dependence of concentration on rainfall intensity are discussed, and it is con­ cluded that: (1) washout and evaporation, more than any process which may occur within the , are the dominant factors in increasing the salinity of the small raindrops collected below the cloud base, and (2) exchange of gaseous and dis­ solved chlorine is a minor factor affecting the variation of chloride concentration with rainfall intensity.

IT IS WELL ESTABLISHED that the concentration was an attempt made to collect numerous sam­ of various soluble substances in depends ples in a short time period so that the detailed upon total rainfall amount.3 In general, concen­ variations which possibly occur in the chemi­ tration of such species as NOg-, SO/, Na+, and cal composition with rainfall intensity could be Cl-, and radioactivity, etc., decrease with in­ investigated within an individual rain shower. creasing amount of rainfall, both for widespread In fact, very few studies of this sort have ever rain systems and for thundershowers. An ex­ been attempted, and in those only one or two tensive review of the dependence of concentra­ showers were examined with generally a maxi­ tion on rainfall amount is given by Junge mum of 5 or 6 samples collected in each shower (1963) . (Gorham, 1958; Turner, 1955). Perhaps the Woodcock and Blanchard (1955) have most detailed study of the dependence of con­ shown that an inverse dependence of chlorine centration on rainfall intensity was that of Gatz concentration in rain on rainfall intensity oc­ and Dingle (1966), who investigated the varia­ curs in Hawaiian trade wind showers. This re­ tion of radioactivity and pollen in the rain asso­ lationship was corroborated for sodium (and ciated with two squall lines in Oklahoma. from this, for total salt) by Eriksson (1957) The purpose of our study was to investigate and Georgii and Weber (1961), and for total in detail the variation of the sodium and dissolved nitrogen (ammonia and nitrate) by chloride concentrations with rainfall intensity Mordy (1953). In none of these investigations in Hawiian trade wind showers in order to evaluate some of the major factors which in­ 1 Hawaii Institute of Geophysics Contribution No. fluence these concentration variations. In addi­ 275. Manuscript received April 15, 1969. 2 Department of Chemistry and Hawaii Institute tion, it was hoped, by studying changes in the of Geophysics, University of Hawaii, Honolulu, Na/Cl ratio with varying rainfall intensity, that Hawaii 96822. information could be obtained on the exchange 3 There is confusion in the literature concerning of gaseous chlorine with dissolved chloride in the meaning of "amount" and "intensity" when ap­ the rain. plied to rainfall. In general, "amount" has referred to the volume of rain collected, with no reference to the length of the collection period, whereas "inten­ METHODS sity" has referred to the amount collected per unit time. These terms have been erroneously used inter­ Thirteen trade wind showers were sampled changeably on many occasions. There is no necessary relation between rainfall "amount" and rainfall "in­ at various locations on the islands of Oahu and tensity" as defined above. Hawaii. As many as 28 samples were collected 483 484 PACIFIC SCIENCE, Vol. XXIII, October 1969 from an individual shower as it passed over a large intensity changes as the shower passed sampling site. The samples were collected in a over the sampling site. It can be seen that the conical stainless steel collector, with a base inverse relationship between the Na and Cl diameter of 80 cm, equipped with wiper blades concentration and rainfall intensity holds even which could be moved over the steel surface to when a decrease in intensity occurs in regions assure complete drainage after each sample was not near the edge of the shower. Figure 5 rep­ collected. A wooden cover (120 cm X 120 cm) resents a shower with quite erratic rain inten­ prevented any rain from falling into the funnel sities; again, the inverse dependence of con­ between sample collections. Shortly before each centration on rainfall intensity can be seen. shower began, the collector was thoroughly Figures 6 and 7 represent two sets of samples cleaned with distilled water. Rain intensities collected in cloud at approximately 800 meters were calculated by measuring the volume of the elevation on Hawaii. The long rainfall duration rain collected in known time intervals. (40 to 50 minutes) for these two sets of sam­ The samples were analyzed for chloride using ples indicates that several individual showers a modification of the photometric method of were probably being sampled. On both sample Zall et al. (1956), and for sodium by flame collection days, the upper-level soundings for photometry. Details of the collection and Hilo show large direction and speed shear in analytical procedures are given by Seto (1967). the wind field with increasing altitude. Blanchard (1957) has pointed out that such as this can cause the various size RESULTS raindrops to be spread out not only in the ,Figures 1 through 7 show the variation of the direction of motion of the shower but also at sodium and chloride concentration and that of right angles to that direction, with the smallest the Na/Cl ratio with rainfall intensity at various drops being deflected the most. It is thus pos­ times in 7 representative showers of the 13 in­ sible that a sampling site on the ground would vestigated. Analytical uncertainties are generally collect rain from several different showers less than 5 percent for the Na and Cl analyses. simultaneously due to overlapping of different The Na/Cl ratio in sea water is also indicated raindrop size distributions. Even though there on these figures. Figures 1 through 5 represent may have been simultaneous collections from collections well below the cloud base of the several showers, however, the inverse depen­ showers, and Figures 6 and 7 represent collec­ dence of sodium and chloride concentration on tions within the rain cloud. All concentrations rainfall intensity is still apparent. and ratios are reported for the midpoint of the It should be noted that there is no regular sampling interval. Approximately 15 to 30 variation in the Na/Cl ratio in any of these seconds elapsed between the end of one sam­ seven showers; the ratio is generally quite close pling interval and the start of the next. to that of sea water (0.56). The data on Figures 1 and 2 appear to be Woodcock and Blanchard (1955) have shown representative of single-cell showers which that there is a direct relationship between rain­ passed over the sampling site. Both showers fall intensity and raindrop size in Hawaiian were at or near sea level, one on Oahu and one trade wind showers, the higher intensities being on Hawaii. In both cases, the concentrations associated with the larger drops. In subsequent were quite high around the perimeter of the discussions in this paper, we will assume that shower, where the rainfall intensity was low, the highest intensity portions of a shower have but dropped off very rapidly as the intensity the largest raindrops and the lowest intensity increased near the center of the shower. As the portions, the smallest raindrops. intensity decreased toward the trailing edge of the shower, the concentration increased again, DISCUSSION AND CONCLUSIONS although it did not return to its initial value. Figures 3 and 4 also represent showers sam­ Woodcock (1952) suggested that the pres­ pled near sea level. In both cases, the shower ence of salt in rain from trade wind showers had two apparent cells which caused fairly results from the formation of individual rain- Na and 0- in Hawaiian Showers-DuCE ET AL. 485

x No+ o CI- a No ICI RATIO A INTENSITY

o 10.0 100.0 «~ 0::: u ...... o Z 'U -..: c: .c o ...... E E E Q. Q. z >- o ~ / ...... -(J) ~ f::, / Z « "4 W 0::: ..... ~ 1.0 ./ \ 10.0 Z Z W / \ U / \ -l Z -l o / f::, \ SEA WATER No ICI « U o--7-o--o--o~-y~---0--- IJ.. Z- / ~ « u , \ 0::: I \ + . \ o / ' Z . \ / ' , \ / . . \ ~ \ L\ 0.1 o 2 4 6 8 10 12 14 16 18 20

TIME AFTER BEGINNING OF SHOWER (minutes) FIG. 1. Data from rain shower collected June 24, 1967 below cloud at Hilo, Hawaii. Elevation 80 meters. drops on individual salt particles of different initially due to condensation of on sizes present in the marine . In the their surfaces. As the growing saline droplets presence of the high relative in a became larger, they would begin to fall, rela­ developing cumulus, the salt nuclei would grow tive to the cloud droplets, and subsequent 486 PACIFIC SCIENCE, Vol. XXIII, October 1969

0.7 0 i- o - « 0.6 - SEA WATER No ICI a::: e------0 ------_.- 0 u 0.5 1- tJ tJ tJ 0 - ...... c Z I I I I I I I

~ ..r:. "'- x No + E o CI E c No/CI RATIO f::,. INTENSITY E >- a. i- a. (f) Z Z W 0 0, i- - Z «i- a::: 10.0 10.0 ...J i- ? ...J Z / « lI.J I.l... U Z Z « 0 a::: U

U

+ c Z

I. 0 '--_-'---_..L-_-'---_----'-_-.L-_--'--'='-----l.__'--_-'---_..L---l I. 0 o 2 4 6 8 10 14 16 18 20

TIME AFTER BEGINNING OF SHOWER (minutes)

FIG. 2. Data from rain shower collected March 31, 1967 below cloud on the windward side of Oahu at sea level. growth would be due largely to droplet intensity: (a) raindrop-cloud drop coalescence, coalescence until they fell from the cloud as (b) raindrop-raindrop coalescence, (c) washout, raindrops. (d) evaporation, and (e) incorporation of trace At least five factors must be considered in gases in raindrops and cloud drops. Raindrop­ attempting to explain the variation of the con­ cloud drop and raindrop-raindrop coalescence centration of soluble sea salt in rain with rainfall processes in rain showers are extremely com- Na and Cl- in Hawaiian Showers-DucE ET AL. 487

o I-

'6, x Na+ 10.0 , /-:6.'" o CI- 100 \ t:/~'& ,I\ o Na/CI RATIO , I::. INTENSITY , / \ \ / \ / ~ i \. /0 E "/ n / 0. ,. \ .~" 0 / 0. , ~ /\ I \i \ i \/ z ~ \ j' / >­ o !~ ''fy' 1::.\ / I- I­ I en \ Z W I \ I U \ I Z 1.0 I \ I 10 -l o , I -l i \.

o 2 4 6 8 10 12 14 16 18 20

TIME AFTER BEGINNING OF SHOWER (minutes)

FIG, 3. Data from rain shower collected July 7, 1967 below cloud at Hilo, Hawaii. Elevation 80 meters. 488 PACIFIC SCIENCE, Vol. XXIII, October 1969

x No + o CI o Q No/CI RATIO l­ D. INTENSITY e:{ 0::

<.) 10.0 10 ...... o Z ..: .Co "0 c: ...... o E E E a. >- a. I- (f) Z Z 0 W l-- I- e:{ Z 0:: I- ...J Z 1.0 1.0 ...J w e:{ <.) lJ.. z Z - 0 e:{ <.) SEA WATER No/CI ------0 - -- 0:: o a 0 0 0 <.)

+ 0 z

0.1 l--_J...... _-L_----I.__.!--_J...... _-L_--!.__.L.-_-'--_-'-_---' 0.1 o 2 3 4 5 6 7 8 9 10

TIME AFTER BEGINNING OF SHOWER (minutes)

FIG. 4. Data from rain shower collected July 3, 1967 below cloud at Hilo, Hawaii. Elevation 20 meters. Na and Cl- in Hawaiian Showers-DuCE ET AL. 489

x No + o CI- o No/CI RATIO 0 ....- 6 INTENSITY "- c Z ...: ~ "0 c:: c "E E 0 ...... E ...... _#""'l-o- ...... 0. "0--- "- ...... -0 -...-0 ...... " 0. >- "- .... '\ - Z \ (/) 0 \ Z W j- / \ lL.. Z Z 0 '" - <..> \ lJ

+ c Z

0.1 '--__..L.-_-"--_--'-__'--_....L-_-L-_--I.__.1..-_--L-_--'---' I. 0 2 3 4 5 6 7 8 9 10

TIME AFTER BEGINNING OF SHOWER (minutes)

FIG. 5. Data from rain shower collected June 26, 1967 below cloud at Hila, Hawaii. Elevation 100 meters. 490 PACIFIC SCIENCE, Vol. XXIII, October 1969

o I >< No + \ I o CI- I I C No/CI RATIO 0 \ - I I:::. INTENSITY I- I « \ a:: \ " \ I u ~ ...... \ 0 \ z \ ...: 1.0 \ 100 .J::: "0 ~ ...... c: o E 0 \ ....0--, I E I 0 /1' \0 10 " 0 SEA WATER No/CI /\/ E o d-oc---U-- -. -/'"C) -- ~ 0/- -- a. >- \ / --0.., ,1 CDC 0'0 c J a. \ 0 0 / 0 _ -IY , IJ 0 l- X IX I C , I (/) \ 0 / c c \./ Z Z \ / 0 \ I W \ I - \ I I- I- o I x Z « \ I \I a:: 0. / I- 'q I ...J , / ...J z "T$X / W « u A \ lL.. z / ~ Z 0 - u 0.1 'f~' 10 « 1 \, a:: I \ /' u 4 !\' \, .6\ + \ ~ I 0 \1:::. / Z './ '\! \ . / \ ~j I:::. \

10 20 30 40 50

TIME AFTER BEGINNING OF SHOWER (minutes)

FIG. 6. Data from rain shower collected June 27, 1967 in cloud on the Saddle Road, Hawaii. Elevation 850 meters. Na and 0- in Hawaiian Showers-DucE ET AL. 491

0 000 ..... 0.6 SEA WATER No/CI « ~o------~------~--~--- 0:: o 0 0 a a a a a a 0.5 00 0 u ...... o 0 z 0.4

E Q. 10.0 10 ~ Q. ..c...... z E o E ..... « >­ .....0:: ..... Z (f) W Z U W Z ..... o Z U -I -I « u 1..1.. Z + o 1.0 1.0 « Z 0::

x x x )< + x X No x x o CI x a No/CI RATIO J::,. INTENSITY x

10 20 30 40 50

TIME AFTER BEGINNING OF SHOWER (minutes)

FIG. 7. Data from rain shower collected June 30, 1967 in cloud on the Saddle Road, Hawaii. Elevation 850 meters. 492 PACIFIC SCIENCE, Vol. XXIII, October 1969

plex, and the detailed growth mechanism of concentrations of Na and Cl. Subsequent por­ raindrops by coalescence is poorly understood. tions of the shower passing over the collection Prediction of the dependence of sea-salt con­ site will then fall through much cleaner air, centration on raindrop size due to coalescence washout will be less, and the concentrations processes must therefore await more reliable will be lower. When this sort of situation pre­ models of rain shower formation. The other vails, the concentrations in the trailing edge of three factors affecting the variation of soluble the shower as it passes over the collection site sea-salt concentration with rainfall intensity will not be as high as they were in the leading will be considered separately. edge, even if the shower intensities are the same. This appears to be the case for most of Washout of Salt Particles BeloU! the Cloud the below-cloud showers investigated here, since almost all had higher salinities on the As the rain falls below the base of the cloud leading edge than on the trailing edge of the it may pick up particulate matter suspended in shower. the air before striking the ground. The mass of sea salt collected by a raindrop falling through Evaporation air containing sea-salt particles will depend This factor is of primary importance for sam­ upon the volume of air swept out by the falling ples collected below cloud base, but can also drop. This volume is proportional to the cross­ sometimes be important for samples collected sectional area, or r2, of the raindrop, where r near cloud base or even in cloud, especially near is the radius of the raindrop. This is only an the perimeter of a shower. For droplets greater approximation since one must also consider the than O.lft radius, the amount of evaporation collection efficiency, E, of the various size rain­ will be proportional to the surface area of the drops for salt particles. If we assume that the drop, and therefore to r2• Concentration will shape of salt particles suspended in the air is again be inversely proportional to the volume spherical, the collection efficiency, E, for a 10-ft of the drop, or l/fl and, thus, concentration radius salt particle will vary from 0.66 for a changes caused by evaporation will be propor­ 0.10-mm radius raindrop to 0.89 for a 1.0-mm tional to l/r. The smaller the raindrop radius radius raindrop (Langmuir, 1948). However, the greater the effect of evaporation on rain­ this correction is generally small compared with drop concentration; that is, the smaller raindrops the cross-sectional area change, and the assump­ (characteristic of low intensity ) will be tion that the collection of particles is dependent the most concentrated by this mechanism. upon 1'2 of the raindrop is satisfactory for We separated the 13 showers sampled into present considerations. Since the concentration two groups-those (4) collected within cloud of a given amount of dissolved salt in the or very near cloud base ("in cloud") and those raindrop is inversely proportional to the volume (9) near sea level, approximately 600 meters of the raindrop, or l/fl, the net salinity change below cloud base ("below cloud")-and made for raindrops falling through sea-salt particles plots of rainfall intensity versus chlorine con­ suspended in the air will be proportional to centration for all samples collected in the two l/r. Thus the larger raindrops associated with groups (Fig. 8). It is apparent from Figure 8 the higher intensity rains should have the lowest that the average concentration of "below-cloud" salinities, due to washout. rains is approximately 10 times that of "in­ Another factor to be considered at this point cloud" rains. is the relative movement of the shower with Straight lines have been fitted to the in-cloud respect to the surface air. If a shower is moving and below-cloud samples by the method of more rapidly than the air at the land surface, least squares; they are shown in Figure 8. There the leading edge of the shower will be raining appears to be very little dependence of salinity through air which is "unwashed." Hence, the on rainfall intensity for the in-cloud samples. light rain on the leading edge of the shower In fact, the tendency, if any, is for higher rain­ will fall through such "unwashed" air and, fall rate to be associated with higher rainfall after picking up salt particles, will contain higher salinity. As was seen previously, this is just the Na and 0- in Hawaiian Showers-DuCE ET AL. 493

100.0 I. • • I .. i ..: ·.. ·1 ."... .s:: • -. . • • 10.0 • · "I .. "- -~-•I , E .. . E ., I . ..• • • .r I· ..f.. w ....! • ~ • • • a:: -. • • .J .J 1.0 Lt • z « a:: IN CLOUD

0.1 0.1 1.0 10 0.1 1.0 10 100

CI - (ppm) FIG. 8. Chloride concentration vs. rainfall intensity for all samples collected in cloud and below cloud on Oahu and Hawaii. opposite of the situation observed for the in­ cloud samples agrees with the results given dividual showers. This is not too surprising, previously for the individual showers. In these however, since in many cases the relative con­ cases, the changes of salinity with changing centration changes with varying rainfall intensity rainfall intensity in individual showers are so in in-cloud samples collected in an individual great that the effect is also observed when all rain shower were rather small. However, the the shower data are combined. concentration of salt in rain showers collected Since the concentration changes with varying at different locations and at different times may rainfall intensity are considerably greater for vary a great deal and are dependent on wind below-cloud than for in-cloud samples, it is force, the number of salt nuclei and their size apparent that the mechanisms of washout and distribution, and the drop sizes which are evaporation, both effective primarily below developed in a shower, all of which vary con­ cloud, are more important in increasing the siderably from day to day. This illustrates salinity of the small raindrops collected about clearly the danger of drawing generalizations 600 meters below cloud base than any processes from plots of rainfall rate versus concentration occurring within the cloud. for a number of different rainfall situations unless individual shower data are also available. Incorporation of Trace Gases in Cloud Droplets The below-cloud samples show a rather clear­ and Raindrops cut inverse dependence of salinity on rainfall For elements which have volatile species rate, although this is partly due to very high possible at ambient and , intensity rains (above 30 mm/hr) which are the incorporation of the gaseous species in the rarely observed in in-cloud samples and were water droplets (or escape of the gaseous species not observed in any samples collected in cloud from the droplets) can be a significant factor in this investigation. The inverse dependence in the chemical composition of the droplet. of salinity on rainfall rate for all the below- Assuming that the dissolved species is not 494 PACIFIC SCIENCE, Vol. XXIII, October 1969 initially in equilibrium with the gas phase and ACKNOWLEDGMENTS the attainment of equilibrium is neither ex­ The authors would like to thank Dr. A. H. tremely slow nor extremely fast, the concentra­ Woodcock and Dr. K. E. Chave for their many tion of the dissolved species in solution may helpful comments and discussions of this paper. vary for different droplet s'izes. If the rate of We would also like to thank the staff of the attainment of equilibrium is more rapid than the Cloud Physics Observatory, University of growth rate of the raindrops in cloud, no differ­ Hawaii, Hilo Campus, for their assistance in ence would result in the chemical composition sample collection. This work was supported in of different drop sizes. However, if the rate of part by Office of Naval Research Contract No. equilibrium attainment is somewhat slower than 3748(04) with the Hawaii Institute of Geo­ the droplet growth rate, the larger drops will re­ physics. quire longer equilibration times, after the drops cease growing, because of their smaller surface area to volume ratio. In the latter case, if there LITERATURE CITED were not time for complete equilibration of all drop sizes before sample collection on the BLANCHARD, D. C. 1957. Discussion of rain­ ground, and if equilibrium between the gaseous drop distributions made during Project and aqueous phases of a chemical species in­ Shower, Hawaii, 1954, pp. 213-223. In: volved a net absorption of the gas phase into the H. Weickman, ed., Artificial Stimulation of droplets, the concentration of the dissolved Rain. New York, Pergamon Press. species would be greater in the smaller droplets. DUCE, R. A. 1969. On the source of gaseous If, however, the attainment of equilibrium chlorine in the marine atmosphere. Journal of meant a net loss of the species from the droplet, Geophysical Research, vol. 74, no. 18. the concentration of the dissolved species would DUCE, R. A., J. W. WINCHESTER, and T. W. be less in the smaller droplets. VAN NAHL. 1965. Iodine, bromine, and Since there apparently is considerable gaseous chlorine in the Hawaiian marine atmosphere. chlorine (0.1-10 p.g/m3 ) of undetermined Journal of Geophysical Research, vol. 70, pp. chemical species in the marine atmosphere 1775-1799. (Junge, 1957; Duce et al., 1965) this gaseous ERIKSSON, E. 1957. The chemical composition phase could be a significant factor in affecting of Hawaiian rainfall. Tellus, vol. 9, pp. 509­ the concentration of chlorine in the rain at 520. various rainfall intensities. The Na/Cl ratios in GATZ, D. F., and A. N. DINGLE. 1966. Deposi­ the showers reported here do not appear to vary tion of atmospheric particulate matter by with intensity and have essentially the same connective storms: The role of the connective value as that for sea water, indicating that the updraft as an input mechanism. Scientific attainment of equilibrium of gaseous with dis­ Report No.1, U. S. Atomic Energy Commis­ solved chlorine is either very fast or very slow. sion Contract No. AT(1l-1)-1407, College Duce (1969) has shown that if the gaseous of Engineering, University of Michigan, Ann chlorine is HCl, which seems most likely, it is Arbor, 216 pp. not in equilibrium with chloride concentrations GEORGII, H. W., and E. WEBER. 1961. Investi­ commonly found in Hawaiian rains, indicating gations on tropospheric washout. Annual that the rate of equilibrium attainment is ap­ Report No.2, USAF Contract AF 61(052)­ parently very slow. Seto et al. (1969) have also 249, Air Force Cambridge Research Center, shown that the Na/Cl ratio is independent of Bedford, Mass., 28 pp. altitude and distance from the sea in Hawaiian GORHAM, E. 1958. The influence and impor­ rains. Thus the exchange of gaseous and dis­ tance of daily weather conditions in the sup­ solved chlorine is probably a minor factor af­ ply of chloride, sulfate, and other ions to fecting the variation of chloride concentration fresh waters from atmospheric . with rainfall intensity in Hawaiian trade wind Philosophical Transactions of the Royal showers. Society, london, vol. B241, pp. 147-178. Na and Cl- in Hawaiian Showers-DuCE ET AL. 495

JUNGE, C. E. 1957. Chemical analysis of aerosol Hawaiian rains as a function of distance in­ particles and of gas traces on the island of land and of elevation. Journal of Geophysical Hawaii. Tellus, vol. 9, pp. 528-537. Research, vol. 74, pp. 1101-1103. --- 1963. Air chemistry and radioactivity. TURNER, J. S. 1955. The salinity of rainfall as a New York, Academic Press. 382 pp. function of drop size. Quarterly Journal of LANGMUIR, 1. 1948. The production of rain by the Royal Meteorological Society, vol. 81, pp. a chain reaction in cumulus at tem­ 418-429. peratures above freezing. Journal of Mete­ WOODCOCK, A. H. 1952. Atmospheric salt orology, vol. 5, pp. 175-192. particles and raindrops. Journal of Meteo­ MORDY, W. A. 1953. A note on the chemical rology, vol. 9, pp. 200-213. composition of rainwater. Tellus, vol. 5, pp. WOODCOCK, A. H., and D. C. BLANCHARD. 470-474. 1955. Tests of the salt-nuclei hypothesis of SETO, Y. B. 1967. Variations of the Na/Cl ratio in Hawaiian trade wind showers. M. S. rain formation. Tellus, vol. 7, pp. 437-448. thesis, Department of Chemistry, University ZALL, D. M., D. FISHER, and M. Q. GARNER. of Hawaii, Honolulu, 88 pp. 1956. Photometric determination of chlorides SETO, Y. B., R. A. DuCE, and A. H. WOOD­ in water. Analytical Chemistry, vol. 28, pp. COCK. 1969. Sodium-to-chlorine ratio in 1665-1675.