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The Volumetric Properties of Aqueous Sodium Chloride Solutions from 0° to 5()0°C at Pressures up to 2000 Bars Based on a Regression of Available Data in the Literature
GEOLOGICAL SURVEY BULLETIN 1421-C
The Volumetric Properties of Aqueous Sodium Chloride Solutions from 0° to 500°C at Pressures up to 2000 Bars Based on a Regression of Available Data in the Literature
By ROBERT W. POTTER II and DAVID L. BROWN
PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS
GEOLOGICAL SURVEY BULLETIN 1421-C
UNITED STATES GOVERNMENT PRINTING OFFICE, WASHINGTON : 1977
UNITED STATES DEPARTMENT OF THE INTERIOR
GEOLOGICAL SURVEY
V. E. McKelvey, Director
Library of Congress Cataloging in Publications Data
Potter, Robert W.The volumetric properties of aqueous sodium chloride solutions from 0° to 500° C at pressures up to 2000 bars based on a regression of available data in the literature.
(Preliminary steam tables for NaCl solutions)Geological Survey Bulletin 1421-CBibliography: p. 5-6.Supt. of Docs., no.: I 19.3.1421-C.1. Thermochemistry-Tables, etc. 2. Salt-Tables.
I. Brown, David Leslie, 1954- joint author. II. Title. III. Series.IV. Series:United States Geological Survey Bulletin 1421-C.
QE75.B9 no. 1421-C [QD511.8] 557.3'08s [546'.382'24] 76-608267
For sale by the Superintendent of Documents, U. S. Government Printing Office
Washington, D. C. 20402
Stock Number 024-001-029464
CONTENTS
Page
Abstract___________________________________________Cl Introduction _________________________________________ 1 Data regression methods ______________________________ 2 Results __________________ __ 4 References cited ________________________ ___________ 5
TABLES
TABLE 1. Densities of vapor-saturated NaCl solutions, g/cm3 C82. Densities of vapor-saturated NaCl solutions, g/cm3 ______ ____ 93. Densities of 0.5 molal NaCl solutions, g/cm3 __ 104. Densities of 1 molal NaCl solutions, g/cm3 ________________ 115. Densities of 1.5 molal NaCl solutions, g/cm3 ______________ 126. Densities of 2 molal NaCl solutions, g/cm3 _____________ __ 137. Densities of 2.5 molal NaCl solutions, g/cm3 ________________ 148. Densities of 3 molal NaCl solutions, g/cm3 ________________ 159. Densities of 3.5 molal NaCl solutions, g/cm3 ______________ 16
10. Densities of 4 molal NaCl solutions, g/cm3 ________________ 1711. Densities of 4.5 molal NaCl solutions, g/cm3 __ 1812. Densities of 5 molal NaCl solutions, g/cm3 __ ____________ 1913. Densities of 5.5 molal NaCl solutions, g/cm3 _______________ 2014. Densities of 5 molal NaCl solutions, g/cm3 __________________ 2115. Densities of 1 weight percent NaCl solutions, g/cm3 __________ 2216. Densities of 3 weight percent NaCl solutions, g/cm3 __ 2317. Densities of 5 weight percent NaCl solutions, g/cm3 __________ 2418. Densities of 7 weight percent NaCl solutions, g/cm3 __________ 2519. Densities of 9 weight percent NaCl solutions, g/cm3 ________ 2620. Densities of 11 weight percent NaCl solutions, g/cm3 ______ __ 2721. Densities of 13 weight percent NaCl solutions, g/cm3 ______ 2822. Densities of 15 weight percent NaCl solutions, g/cm3 __ 2923. Densities of 17 weight percent NaCl solutions, g/cm3 _________ 3024. Densities of 19 weight percent NaCl solutions, g/cm3 ________ 3125. Densities of 21 weight percent NaCl solutions, g/cm3 __________ 3226. Densities of 23 weight percent NaCl solutions, g/cm3 ________ 3327. Densities of 25 weight percent NaCl solutions, g/cm3 __________ 3428. Interpolation coefficients for NaCl solutions 3529. NaCl interpolation formula coefficients _________________ 36
III
PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS.
THE VOLUMETRIC PROPERTIES OFAQUEOUS SODIUM CHLORIDE SOLUTIONS
FROM 0° TO 500°C AT PRESSURES UP TO2000 BARS BASED ON A REGRESSION OF
AVAILABLE DATA IN THELITERATURE
By ROBERT W. POTTER n and DAVID L. BROWN
ABSTRACT
The volumetric properties of aqueous sodium chloride solutions from 0° to 500°C at pressures up to 2000 bars for concentrations ranging from infinite dilution to as high as 8.0 molal have been obtained by a computer regression of the available experimental data from the literature. The regression was done using (1) the simplest forms of equations capable of describing the experimental data, (2) unsmoothed data where possible, and (3) a least-squares regression technique in which the individual data points were weighted with respect to their relative uncertainty. By following this procedure, a set of internally consistent data was generated. The results are presented in 27 tables of density data at various concentrations, temperatures, and pressures. Two tables of empirical constants capable of generating the tables of density values as well as interpolating the tabulated values are also given.
INTRODUCTION
Pressure-volume-temperature-composition (P-V-T-X) data for brines are required to establish optimum operating temperatures, pressures, and flow rates for the production of geothermal brine fields, to minimize scaling and corrosion, and to design intelligently turbines for production of electricity. One of the prerequisites for successful chemical modeling of geothermal brine systems, as well as reservoir modeling, is thermodynamic data derived from the vol umetric properties of brines, for example, partial and apparent molal volumes. In view of the critical importance of P-V-T-X data to the utilization and understanding of geothermal brine systems, a compi lation of the available data from the literature and a critical evalua tion of these data are required. The compilation of the available data from the literature has been completed (Potter and others, 1975), and this chapter presents a critical evaluation of the volumetric data for aqueous sodium chloride solutions.
Cl
C 2 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS
The volumetric properties of aqueous sodium chloride solutions have been the focus of experimental investigation since 1854. The experimental data prior to 1928, from a total of 103 published refer ences, have been collected, critically evaluated, and published as smoothed values in the International Critical Tables (National Research Council, 1928). The data published since 1928 have been collected and summarized by Potter, Shaw, and Haas (1975). The 119 references covered by them produced a total of 2,453 volumetric meas urements as well as 802 smoothed densities. These data and the data presented in the International Critical Tables served as the data base used in this critical evaluation of the volumetric properties of aque ous sodium chloride solutions.
Prior to the present evaluation, the only fairly extensive tabula tions of smoothed volumetric data for aqueous, vapor-saturated sodium chloride solutions were: International Critical Tables (National Research Council, 1928) for 0.5-26 weight percent solu tions from 0°-100°C; Fabuss and Korosi (1968) for 0.1-3.5 molal (also given in weight percent and molarity) solutions from 20°-150°C (ta bles also in °F); and Haas (1970) for 0-8.0 molal solutions from 75°- 325°C. There are no critical compilations of smoothed data available for solutions at pressures greater than the saturation vapor pressure (Potter, 1976). The limited range of critically evaluated numbers is further evidence of a need for a critical evaluation of all the data over the whole P-V-T-X space if it is available, despite the fact that ex perimental data summarized by Potter, Shaw, and Haas (1975) are for solutions from 10^-15.8 molal over the temperature range 0°- 770°C at pressures up to 12000 bars.
DATA REGRESSION METHODS
The intent of this critical evaluation of aqueous sodium chloride solutions is to produce a set of internally consistent densities that describes the available volumetric data without introducing any theoretical bias. Hence only the raw experimental values were used in the regression of the volumetric properties, except for the pre-1928 data. Since many of these data are unavailable, the smoothed data from the International Critical Tables (National Research Council, 1928) were used in their place. These data were converted to a com mon system of units and were then fit to the simplest form of an equation that would adequately describe the experimental data. A minimum amount of data points were rejected using statistical cri terion, and the data were then refit to an equation of the same form. The equations that were finally derived in this fashion were used to generate the smoothed density values.
The experimental data for the volumetric properties of aqueous
VOLUMETRIC PROPERTIES OF SODIUM CHLORIDE SOLUTIONS C 3
sodium chloride solutions are reported in the literature in every unit imaginable, from densities in ft3/lb-mol to pressure in amagats. Hence all the volumetric property data had to be converted to a com mon system of units before they could be evaluated. The system of units used was bars,°C, g/cm3 , and molality for the pressure, tempera ture, density, and composition, respectively. All these units at the present time are acceptable , SI units (Page and Vigoureux, 1972).
A less tractable problem was that of converting the data to a com mon reference base for the volumetric properties of pure water. Most workers used water either directly or indirectly as a standard for their volumetric measurements, and hence their reported values de pend on the set of volumetric data for pure water that the inves tigator chose to employ. Wherever possible, the volumetric data for aqueous sodium chloride solutions used in the regression were cor rected to the reference base for pure water of Kell and Whalley (1965) below 150°C and Keenan, Keyes, Hill, and Moore (1969) at higher temperatures.
Each datum of the data base was evaluated as to its relative uncer tainty. In general, the uncertainty was taken to be the precision as stated by the original investigator. However, in those cases where no precision or estimate of uncertainty was stated, an estimated value for the uncertainty was supplied. The precision was estimated as one in the last decimal place of the reported data or on the basis of the precision that could be expected from the method employed under normal conditions. The estimate that yielded the largest uncertainty was the estimate used to weight the data for the regression.
After several trial fittings of the density as a function of composi tion at constant temperature and pressure, the following equations were found to be the simplest equations that could most precisely describe the experimental data:
, 20d ~ innn^/i TTB o/2 7 . n TT (T, P constant) (1)
1000+A0raa0 +B0 m3/2d0 +C0m 2a0and
d=Ai+fiim1/2+C 1 m (T, P constant) (2)
where d is the density of the aqueous sodium chloride solution, d0 is the density of pure water at the temperature and pressure of consid eration; ra is the molality; M2 is the molecular weight of sodium chloride; andA0 , A 1 ,B0 ,B 1> C,0 , andCj are empirical constants. Equa tion (1) was required to be able to fit the highly precise data, that is, ±10'6 -±10'4 g/cm3 , which were available below 100°C. At higher temperatures where most of the data had a precision of ±0.001-
C4 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS
±0.005 g/cm3 , equation (2) proved adequate to describe the experi mental data. The density as a function of temperature at constant composition and pressure was found to be adequately described by an equation of the following form:
d=A+BT+CT2 (Composition, P constant) (3)
where A, B, and C are empirical constants.The smoothed densities were obtained from a computer regression
of the P-V-T-X data base previously described. The regression of these data was accomplished by using a least-squares method in which the individual data points were weighted with respect to their relative uncertainty (Meyer, 1975). The experimental data were first regressed at constant temperature and pressure as a function of com position, then the resulting smoothed densities were regressed as a function of temperature at constant composition and pressure. After the initial fit as a function of composition, the experimental data were evaluated via Chauvenet's criterion and the inappropriate data were rejected. The remaining data were then refit to either equation (1) or (2) depending on the temperature, and the subsequent smoothed val ues were used in the final regression. This was the only stage in the regression at which data were rejected.
RESULTS
Table 1 summarizes the densities for the vapor-saturated aqueous sodium chloride solutions from 0°-500°C for various concentrations expressed as molality. The densities for vapor-saturated aqueous sodium chloride solutions with concentration expressed in weight percent (table 2) were derived by interpolating the expressions for density as a function of the molality. The densities for various molalities, 0.5-6.0 molal in 0.5 molal steps, at pressures greater than the saturation vapor pressure up to 2000 bars from 25°-500°C are summarized in tables 3-14; the densities for various sodium chloride solutions with concentration expressed in weight percent, 1-25 weight percent in 2 weight percent increments, for the same pressure and temperature range are summarized in tables 15-27. The regres sion constants for the equations used to generate tables 1-27 are tabulated in tables 28 and 29.
The uncertainties for the densities given in tables 1-27 are the mean deviation of the experimental values from the final regressed equations. The extrapolated densities have been assigned an uncer tainty of 10 times the mean standard deviation for the final regressed equations (tables 28 and 29). These assignments were made because of the simple form of the equations used; for although the equations
VOLUMETRIC PROPERTIES OF SODIUM CHLORIDE SOLUTIONS C 5
fit the data well, they cannot be readily extrapolated with any certainty. Data is available for higher temperatures, pressures, and concentrations than those summarized in tables 1-27; how ever, in general, these data are not consistent with the lower tem perature, pressure, and concentration data or not extensive enough to allow for a reliable regression that would yield internally consistent P-V-T-X data.
As has been previously stated, there are three critical compilations of density data for limited temperature ranges previous to this study: International Critical Tables (National Research Council, 1928), Fabuss and Korosi (1968), and Haas (1970). The observed mean standard deviations between these data sets and the data in this study are ±0.0003 g/cm3 , ±0.0007 g/cm3 , and ±0.0036 g/cm3 , respec tively. The percentages of the smoothed points from the previous compilations that lie within the error bands determined for this study are 69.2 percent, 85.7 percent, and 82.0 percent for the International Critical Tables, Fabuss and Korosi, and Haas, respectively.
The tabulations given here will differ from those given in Chapters A and B of this Bulletin (Haas, 1976a, b) because these results were not available when the earlier chapters were prepared. Haas used an earlier formulation for the density of NaCl solutions to calculate the density and specific volume of the vapor-saturated solutions and to estimate the partial molal volumes of the HzO and NaCl components. As indicated in the foregoing analysis, these differences are minor in nature when the precision and accuracy of the available data are considered.
The density data obtained from smoothing all the available ex perimental data are in substantial agreement with previous studies of a similar nature. The smoothed values presented in tables 1-27 represent a reliable set of internally consistent data that describes the available experimental data for the volumetric properties of aqueous sodium chloride solutions. Their wider scope, both in temperature-pressure-composition space and in completeness of data considered, makes these tabulations superior to the previously avail able compilations. The data as presented in tables 1-27 appear to be of significant precision for engineering purposes; however the preci sion is such that only preliminary thermochemical data can be ex tracted from the data set (Potter, 1976).
REFERENCES CITED
Fabuss, B. M., and Korosi, Alexander, 1968, Properties of seawater and solutions con taining sodium chloride, potassium chloride, sodium sulfate, and magnesium sul- fate: U.S. Office Saline Water, Research Develop. Progress Rept. No. 384, 133 p.
C6 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS
Haas, J. L., Jr., 1970, Equation for the density of vapor saturated NaCl-ItzO solutions from 75° to 325°C: Am. Jour. Sci., v. 269, p. 490-494.
1976a, Physical properties of the coexisting phases and thermochemical proper ties of the HaO component in boiling NaCl solutions: U.S. Geol. Survey Bull. 1421-A, 73 p.
-1976b, Thermodynamic properties of the coexisting phases and thermochemicalproperties of the NaCl component in boiling NaCl solutions: U.S. Geol. SurveyBull. 1421-B 71 p.
Keenan, J. H., Keyes, F. G., Hill, P. G., and Moore, J. G., 1969, Steam tables: Ther modynamic properties of water including vapor, liquid and solid phases: NewYork, John Wiley and Sons, 162 p.
Kell, G. S., and Whalley, E., 1965, The PVT properties of water. I. Liquid water in thetemperature range 0° to 150°C and at pressures up to 1Kb: Royal Soc. LondonPhilos. Trans., v. 258, p. 565-617.
Meyer, S. L., 1975, Data analysis for scientists and engineers: New York, John Wileyand Sons, 513 p.
National Research Council, 1928, International critical tables of numerical data,physics, chemistry and technology: New York, McGraw-Hill Book Co., v. 3, 444 p.
Page, C. H., and Vigoureux, Paul, 1972, The international system of units: NationalBureau Standards Spec. Pub. 330, 42 p.
Potter, R. W., II, 1976, An assessment of the status of the available data on the P-V-Tproperties for the major components in geothermal brines: U.N. Symposium on theDevelopment of Use of Geothermal Resources, 2d, San Francisco, Proc., v. 1, p.826-829.
Potter, R. W., II, Shaw, D. R., and Haas, J. L., Jr., 1975, Annotated bibliography ofstudies on the density and other volumetric properties for major components ingeothermal waters 1928-74: U.S. Geol. Survey Bull. 1417, 78 p.
TABLES 1-29
C8 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS
tJ<a oa rH
a> o^< rt o
V-f H I<-> o
-
i-H<1f-l.-Hi-H.Hi-HOOOOOOO
i-H*-l,-f»-4i-Hi-<OOOOOOOO
CTl O Lrt
O O O O O O O O O O
VOLUMETRIC PROPERTIES OF SODIUM CHLORIDE SOLUTIONS C9
5 sa
c» cu** "e i*) .5 K)
<N c -H H X
Cd rt LOiJ *! +lO & «< O 4-1
H §3
oom(NO^(N»^-i/ii/i^i-«ooTroorNi^-sovDLnwoor^i/j^-nooo^o^ti-iCTivo^-f-ioomfNati-i^H^-t^H^Hr-t^-toooocTicjiaiCTtoooooor^_( ^H _< 1-1 _i,^ 1-i^H_i 1_t 1_OOOOOOOO
o o-H O ~* \Qoaai^otomr^oorN-^o^Oi^oor-itOTr**)*^ oo^oin^-(NOoo\D'^i fNO>ri^^(NO^sowor»^H^-trHF-i^Hi-ioooooiaiOioooQooooot^^HFHi-lr-lr-41-Hi-tiH^HiHOOOOOOOOO
^H r*-LO o to r>.vOi/) - r>JOO^ri^Ln<NOooi/)CMorii*^'^Hr^ irHi-tt-Hf-Hr-toooooaiCTiCTtoioooocor^-r^^H^H^^^rt^^H^.-iOOOOOOOOO
\o <No to r^. a>^ tONf-tCTir*.i/ito»-(oovOtooooLn'-*oou^(N ^^.-H.-HOOOoootcTiaio^oooooor^rxh-
rt^rHiHiHiHi-iFHrtOoooooddod
\o *>i>- r*. to 1/1tO(NOC^r^vOTj---<o»rs*^-i-<CTiLn(Naivor>jc7ti-H.-H'-«oooooo^a»a»OiQOoooor^r^r^vOi-t^H^Hi-i^-iPH^pHOOoooooddoo
o 01\O tO CM tO\o\o^. ifOLOi/>K>oi/)oooocoLnoto^pi-HO(7too>OTtc>joooi-nc*)ori^too^t'ic»LnrHnHOOoooocna)O^aioooooot^.r-o^^HrH^H^-t^^H^H^HOOOOOOOOOOO
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vO TTr^ <N r^- \ooot^voi/itOf-iOit^totNCTJ^OtoffiLni-^t^-iooooooooodOiatCTioooooor^-r^r^ONOL/i^^_^H ^lf^ooooooooooooo
OO >O
OJ»-*or^^itoTrFH\ooooowc»-HOvoo^Hsooi/ifOcNOoo^OfOOr^Tror^tooo^Oi^1ooooooe7iO*c7iO^oooooor-.r^\ovOLnin^,-,^^^^^000000000000
Tf 00
fO^vOrMf^OOI"^' l(NOLrt!^lrt»H^> tOOinTtKjr-JoOir^-^-cNO^NOCMcxj^Oi/joi/)ooooooiO^wcTioooooor^r^r'^vOvOi/) i_ (_,_, 1-i_,o"dooodooodddd
TT r^^H Tf (N Ooor^CNffirovO\O(NLnLOc^Lnuo*-*i/iij'« » rototNOoir^i/iioor^^-OvOtNi^tNr1^ ooooa»<T)O^aiO^oooocor^r-'OvOLn i i^..H^rHodooooooooooo
tO K)00 (N I/) tNfMOOOOl/iaifsJtNr^CTtrNtNfNOItNf-HvOCMi-HOO^rN-vO^^HOOlAfNOOtOO^^OOoooo^ot{T>o^o^oooocor-.p^vOvOLn i i ii-H^Ht-tOOOOOOOOOOOOO
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TAB
LE 3
. D
ensi
ties
of 0
.5 m
olal
NaC
l so
luti
ons,
g/c
m3
[The
u
ncert
ain
ties
in th
e den
sit
ies
are
: 3
-pla
ce
fig
ure
s ±
0.0
05
and
±0
.05
fo
r 2-p
lace fi
gure
s.]
Tem
p °C
25 SO 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.0
18
1.0
12
1.0
02
0.9
89
0.9
71
0.9
50
0.9
25
0.8
97
0.8
65
0.8
29
0.7
89
0.7
46
-- -- -- -- -- -- -- ~~
200
1.0
22
1.0
15
1.0
05
0.9
91
0.9
75
0.9
55
0.9
31
0.9
05
0.8
75
0.8
42
0.8
06
0.7
67
0.7
24
0.6
8*
0.6
3*
-- -- ~~
300
1.0
27
1.0
20
1.0
09
0.9
96
0.9
80
0.9
60
0.9
38
0.9
13
0.8
84
0.8
53
0.8
18
0.7
80
0.7
40
0.7
0*
0.6
5*
-- -- -- - "
400
1.0
31
1.0
26
1.0
17
1.0
05
0.9
90
0.9
71
0.9
50
0.9
25
0.8
97
0.8
66
0.8
31
0.7
93
0.7
52
0.7
1*
0.6
6*
-- "
500
1.0
35
1.0
30
1.0
21
1.0
10
0.9
95
0.9
77
0.9
56
0.9
33
0.9
06
0.8
76
0.8
43
0.8
06
0.7
67
0.7
25
0.6
8*
0.6
3*
-- -- -- ~
600
1.0
39
1.0
34
1.0
26
1.0
15
1.0
00
0.9
83
0.9
63
0.9
40
0.9
14
0.8
85
0.8
54
0.8
19
0.7
81
0.7
41
0.7
0*
0.6
5*
-- -- -- ~~
Pre
ssu
re
700
1.0
43
1.0
39
1.0
32
1.0
21
1.0
08
0.9
92
0.9
72
0.9
50
0.9
24
0.8
96
0.8
64
0.8
30
0.7
92
0.7
52
0.7
1*
0.6
6*
-- -- -- ~~
(bars
)
800
1.0
48
1.0
42
1.0
34
1.0
24
1.0
11
0.9
95
0.9
76
0.9
55
0.9
31
0.9
04
0.8
75
0.8
43
0.8
08
0.7
71
0.7
31
0.6
9*
0.6
4*
-- -- ~~
900
1.0
51
1.0
46
1.0
38
1.0
28
1.0
15
1.0
00
0.9
82
0.9
61
0.9
38
0.9
13
0.8
85
0.8
54
0.8
21
0.7
85
0.7
47
0.7
1*
0.6
6*
-- -- "
1000
1.0
55
1.0
50
1.0
42
1.0
32
1.0
20
1.0
05
0.9
88
0.9
68
0.9
46
0.9
21
0.8
94
0.8
65
0.8
33
0.7
98
0.7
62
0.7
22
0.6
8*
0.6
4*
-- "
1250
1.0
64
1.0
58
1.0
51
1.0
41
1.0
29
1.0
15
0.9
99
0.9
81
0.9
61
0.9
39
0.9
15
0.8
88
0.8
60
0.8
29
0.7
97
0.7
62
0.7
25
0.6
9*
0.6
4*
1500
1.0
72
1.0
67
1.0
59
1.0
50
1.0
39
1.0
26
1.0
11
0.9
94
0.9
75
0.9
55
0.9
32
0.9
08
0.8
82
0.8
54
0.8
24
0.7
92
0.7
58
0.7
23
0.6
85
0.6
5*
1750
1.0
80
1.0
75
1.0
69
1.0
60
1.0
50
1.0
38
1.0
24
1.0
09
0.9
92
0.9
72
0.9
51
0.9
29
0.9
04
0.8
78
0.8
50
0.8
20
0.7
88
0.7
55
0.7
19
0.'6
8*
2000
1.0
88
1.0
83
1.0
77
1.0
69
1.0
59
1.0
48
1.0
35
1.0
20
1.0
04
0.9
86
0.9
67
0.9
46
0.9
23
0.8
99
0.8
73
0.8
46
0.8
16
0.7
86
0.7
53
0.7
19
CO "a
o G CO o
f O
2 CO
'Ex
trap
ola
ted
valu
es
VOLUMETRIC PROPERTIES OF SODIUM CHLORIDE SOLUTIONS Cl 1
«'«' ,'_' rt' «' -H' rt ,-. , O O O C> O O O O O O
«',-,' rt' r-,' ,H _ . . CD C. C O o' O O O O O O
3 O
oooooaiotCia»oococor*-r-~vOvO i
-HrtVn-<OOOC>OOOOOOC>
in i-- oo in o
TAB
LE 5
. D
ensi
ties
of
1.5
mol
al N
aCl
solu
tion
s, g
/cm
3
[The
uncert
ain
ties
in
the
.densi
ties
are:
3-p
lace
fi
gure
s ±
0.00
5 an
d ±
0.05
fo
r 2-p
lace
fi
gu
res.
]to
Tem
p °C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.05
8
1.04
9
1.03
8
1.02
4
1.00
7
0.9
87
0.96
4
0.93
8
0.9
10
0.8
78
0.84
4
0.80
7
0.7
7 -- -- - ~~
200
1.06
2
1.05
3
1.04
2
1.02
8
1.01
1
0.9
92
0.97
1
0.9
46
0.9
19
0.8
90
0.8
57
0.82
2
0.7
85
0.7
45
0.70
*
0.66
*-- -- ~~
300
1.06
5
1.05
7
1.04
6
1.03
2
1.01
7
0.9
98
0.97
7
0.95
4
0.92
8
0.8
99
0.8
68
0.8
35
0.7
99
0.7
60
0.72
*
0.68
*-- -- --
400
1.07
1
1.0
64
1.0S
4
1.0
42
1.0
27
1.0
10
0.9
89
0.9
67
0.9
41
0.9
13
0.8
82
0.8
48
0.8
12
0.7
73
0.73
1
0.6
9*
0.6
4*
- - ~~
500
1.07
4
1.06
8
1.05
9
1.04
7
1.03
3
1.01
6
0.99
6
0.97
4
0.95
0
0.92
2
0.89
3
0.8
60
0.8
26
0.78
8
0.7
48
0.71
*
0.66
*-- -- ~~
600
1.07
8
1.07
2
1.06
3
1.05
2
1.03
8
1.02
2
1.00
3
0.98
2
0.9S
8
0.93
2
0.90
3
0.87
2
0.8
38
0.80
2
0.76
4
0.72
*
0.68
*-- -- ~
Pre
ssure
700
1.08
2
1.07
6
1.06
7
1.05
6
1.0
43
1.02
7
1.00
9
0.9
88
0.9
66
0.94
1
0.9
13
0.8
83
0.85
1
0.8
17
0.7
80
0.74
1
0.70
*
0.66
*-- ~~
(bar
s)
800
1.08
5
1.0
79
1.07
1
1.06
0
1.04
7
1.03
2
1.01
4
0.9
95
0.9
73
0.9
49
0.92
2
0.89
4
0.8
63
0.83
0
0.79
4
0.7
57
0.72
*
0.68
*- "
900
1.08
9
1.08
3
1.07
4
1.06
4
1.05
1
1.03
6
1.01
9
1.00
0
0.97
9
0.95
6
0.93
1
0.90
3
0.87
4
0.84
2
0.80
9
0.77
3
0.73
5
0.70
*
0.65
*-
1000
1.09
3
1.08
6
1.07
8
1.06
7
1.05
5
1.04
0
1.02
4
1.00
6
0.98
6
0.96
3
0.93
9
0.91
3
0.88
5
0.84
5
0.82
2
0.78
8
0.75
2
0.73
*
0.67
*~-
1250
1.10
1
1.09
4
1.08
6
1.07
6
1.06
4
1.05
0
1.03
5
1.01
8
1.00
0
0.97
9
0.95
7
0.93
4
0.90
9
0.88
2
0.85
3
0.82
3
0.79
1
0.75
8
0.72
*
0.68
*
1500
1.10
9
1.10
3
1.09
5
1.08
5
1.07
4
1.06
2
1.04
7
1.03
2
1.01
5
0.99
6
0.97
6
0.95
4
0.93
1
0.90
6
0.88
0
0.85
2
0.82
2
0.79
1
0.75
9
0.72
5
1750
1.11
7
1.11
0
1.10
2
1.09
3
1.08
2
1.07
0
1.05
7
1.04
2
1.02
6
1.00
9
0.99
0
0.97
0
0.94
9
0.9
26
0.90
2
0.87
7
0.85
0
0.82
2
0.7
93
0.7
62
2000
1.12
4
1.11
8
1.11
0
1.10
1
1.09
1
1.08
0
1.06
7
1.05
3
1.03
8
1.02
2
1.00
4
0.98
6
0.96
6
0.94
4
0.92
2
0.89
8
0.87
4
0.84
7
0.82
0
0.79
2
CO i s CO *n
o 2 CO o
f O
2
en
Extr
apola
ted val
ues
TAB
LE 6
. D
ensi
ties
of 2
mol
al N
aCl
solu
tion
s, g
/cm
3
[The u
ncer
tain
ties
in the
densities
are:.
3-place
figu
res
±0.0
05 an
d ±0
.05
for
2-place
figures.]
Tem
p °C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.0
75
1.0
65
1.0
53
1.0
38
1.0
20
1.0
00
0.9
76
0.9
50
0.9
21
0.8
89
0.8
54
0.8
2*
-- -- -- -- - -- -- ~~
200
1.0
79
1.0
71
1.0
59
1.0
45
1.0
28
1.0
07
0.9
84
0.9
58
0.9
29
0.8
97
0.8
62
0.8
3*
-- -- -- --
300
1.0
81
1.0
72
1.0
61
1.0
48
1.0
32
1.0
14
0.9
94
0.9
72
0.9
47
0.9
20
0.8
91
0.8
59
0.8
25
0.7
90
0.7
1*
-- --
400
1.0
88
1.0
81
1.0
71
1.0
59
1.0
44
1.0
27
1.0
07
0.9
85
0.9
61
0.9
34
0.9
05
0.8
73
0.8
39
0.8
02
0.7
63
0.7
2*
0.6
8*
-- -- --
500
1.0
91
1.0
86
1.0
78
1.0
67
1.0
54
1.0
38
1.0
19
0.9
98
0.9
74
0.9
47
0.9
17
0.8
85
0.8
50
0.8
12
0.7
72
0.7
28
0.6
83
0.6
34
0.5
8*
0.5
3*
600
1.0
95
1.0
89
1.0
81
1.0
71
1.0
58
1.0
42
1.0
24
1.0
04
0.9
81
0.9
55
0.9
27
0.8
97
0.8
63
0.8
28
0.7
90
0.7
49
0.7
06
0.6
60
0.6
1*
0.5
6*
Pre
ssure
700
1.0
98
1.9
02
1.0
85
1.0
75
1.0
63
1.0
48
1.0
32
1.0
13
0.9
92
0.9
68
0.9
43
0.9
15
0.8
85
0.8
53
0.8
18
0.7
82
0.7
43
0.7
01
0.6
58
0.6
1*
(bars
)
800
1.1
02
1.0
96
1.0
88
1.0
77
1.0
65
1.0
50
1.0
34
1.0
15
0.9
94
0.9
70
0.9
45
0.9
17
0.8
88
0.8
56
0.8
22
0.7
86
0.7
47
0.7
07
0.6
64
0.6
2*
900
1.1
06
1.0
99
1.0
91
1.0
80
1.0
68
1.0
53
1.0
37
1.0
19
0.9
99
0.9
76
0.9
52
0.9
26
0.8
98
0.8
68
0.8
36
0.8
02
0.7
66
0.7
28
0.6
88
-0.6
46
1000
1.1
09
1.1
03
1.0
94
1.0
84
1.0
71
1.0
57
1.0
42
1.0
24
1.0
04
0.9
83
0.9
60
0.9
35
0.9
08
0.8
79
0.8
49
0.8
16
0.7
82
0.7
46
0.7
1*
0.6
7*
1250
1.1
18
1.1
11
1.1
02
1.0
92
1.0
81
1.0
68
1.0
53
1.0
36
1.0
19
0.9
99
0.9
78
0.9
55
0.9
31
0.9
05
0.8
78
0.8
49
0.8
19
0.7
87
0.7
53
0.7
2*
1500
1.1
25
1.1
19
1.1
11
1.1
01
1.0
91
1.0
78
1.0
65
1.0
50
1.0
33
1.0
15
0.9
96
0.9
75
0.9
53
0.9
29
0.9
04
0.8
77
0.8
49
0.8
20
0.7
89
0.7
57
1750
1.1
33
1.1
26
1.1
19
1.1
09
1.0
99
1.0
88
1.0
75
1.0
61
1.0
45
1.0
28
1.0
10
0.9
91
0.9
71
0.9
49
0.9
26
0.9
01
0.8
76
0.8
49
0.8
21
0.7
91
2000
1.1
40
1.1
34
1.1
26
1.1
17
1.1
07
1.0
96
1.0
84
1.0
71
1.0
56
1.0
40
1.0
23
1.0
05
0.9
86
0.9
66
0.9
44
0.9
22
0.8
98
0.8
73
0.8
47
0.8
20
o f
Extr
apo
late
d v
alu
es
o
M CO O O w f O CO O O CO O i 1
CO
TAB
LE 7
. D
ensi
ties
of 2
.5 m
olal
NaC
l so
luti
ons,
g/c
m3
[The
u
ncert
ain
ties
in
the den
sit
ies are
: 3
-pla
ce fi
gure
s ±
0.0
05
an
d ±
0.0
5
for
2-p
lace fi
gure
s.]
Tem
p °C
25 SO 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.0
92
1.0
84
1.0
72
1.0
57
1.0
40
1.0
19
0.9
95
0.9
68
0.9
38
0.9
06
0.8
7
0.8
4
-- -- -- --
200
1.0
96
1.0
87
1.0
75
1.0
61
1.0
44
1.0
24
1.0
01
0.9
76
0.9
48
0.9
18
0.8
84
0.8
48
0.8
1
0.7
7
- - -- --
300
1.0
99
1.0
90
1.0
78
1.0
64
1.0
48
1.0
31
1.0
11
0.9
89
0.9
65
0.9
39
0.9
11
0.8
81
0.8
49
0.8
14
0.7
8
0.7
4*
-- "
400
1.1
04
1.0
97
1.0
87
1.0
75
1.0
60
1.0
43
1.0
24
l.O
OS
0.9
79
0.9
53
0.9
25
0.8
94
0.8
62
0.8
26
0.7
89
0.7
5*
0.7
1*
-- -
500
1.1
08
1.1
01
1.0
91
1.0
79
1.0
66
1.0
49
1.0
31
1.0
10
0.9
88
0.9
63
0.9
35
0.9
06
0.8
74
0.8
40
0.8
04
0.7
65
0.7
3*
0.6
8*
-- --
600
1.1
11
1.1
04
1.0
95
1.0
84
1.0
71
1.0
55
1.0
37
1.0
17
0.9
95
0.9
71
0.9
45
0.9
16
0.8
86
0.8
53
0.8
18
0.7
81
0.7
4*
0.7
0*
-- --
Pre
ssu
re
700
1.1
14
1.1
09
1.1
01
1.0
91
1.0
78
1.0
64
1.0
48
1.0
29
1.0
08
0.9
85
0.9
60
0.9
33
0.9
03
0.8
72
0.8
38
0.8
02
0.7
64
0.7
2*
0.6
8*
"
(bars
)
800
1.1
18
1.1
12
1.1
03
1.0
93
1.0
80
1.0
66
1.0
49
1.0
31
1.0
10
0.9
88
0.9
63
0.9
37
0.9
08
0.8
78
0.8
46
0.8
11
0.7
75
0.7
4*
0.7
0*
--
900
1.1
22
1.1
15
1.1
07
1.0
96
1.0
84
1.0
70
1.0
54
1.0
36
1.0
16
0.9
94
0.9
71
0.9
46
0.9
18
0.8
89
0.8
58
0.8
26
0.7
91
0.7
5*
0.7
2*
--
1000
1.1
25
1.1
18
1.1
10
1.1
00
1.0
88
1.0
74
1.0
58
1.0
41
1.0
22
1.0
01
0.9
79
0.9
54
0.9
28
0.9
00
0.8
71
0.8
40
0.8
07
0.7
72
0.7
4*
0.7
0*
1250
1.1
33
1.1
26
1.1
18
1.1
08
1.0
96
1.0
83
1.0
69
1.0
53
1.0
35
1.0
16
0.9
96
0.9
74
0.9
51
0.9
26
0.9
00
0.8
72
0.8
43
0.8
12
0.7
80
0.7
5*
1500
1.1
41
1.1
34
1.1
26
1.1
17
1.1
06
1.0
94
1.0
80
1.0
66
1.0
49
1.0
32
1.0
13
0.9
93
0.9
71
0.9
48
0.9
24
0.8
98
0.8
71
0.8
43
0.8
13
0.7
82
1750
1.1
49
1.1
42
1.1
33
1.1
24
1.1
14
1.1
02
1.0
89
1.0
75
1.0
60
1.0
44
1.0
26
1.0
08
0.9
88
0.9
67
0.9
45
0.9
22
0.8
97
0.8
72
0.8
45
0.8
17
2000
1.1
56
1.1
49
1.1
41
1.1
32
1.1
22
1.1
11
1.0
99
1.0
86
1.0
72
1.0
57
1.0
40
1.0
23
1.0
04
0.9
84
0.9
63
0.9
42
0.9
19
0.8
94
0.8
68
0.8
43
f I I s CO W
W CO *J O # 2 M O CO
O r H
o 2 CO
Extr
ap
ola
ted
valu
es
TAB
LE 8
. D
ensi
ties
of 3
mol
al N
aCl
solu
tion
s, g
/cm
3
[The uncertainties
in the
densities
are:
3-
plac
e figures
±0.005 and
±0.05
for
2-place
figures.]
Tem
p °C
25
1
50
1
75
1
100
1
125
1
150
1
175
1
200
0
225
0
100
.10
8
.09
8
.08
6
.071
.054
.034
.01
2
.98
7
.96
0
250
0.9
30
275
0
300
0
325
350
375
400
425
450
475
500
'Extr
ap
ola
ted
.89
8
.86
4
-- -- -- __ -- -- -- valu
es
200
1.1
12
1.1
02
1.0
91
1.0
76
1.0
59
1.0
40
1.0
18
0.9
94
0.9
67
0.9
38
0.9
06
0.8
72
0.8
37
-- " -- _.
-- -- --
300
1.1
15
1.1
05
1.0
93
1.0
79
1.0
64
1.0
46
1.0
27
1.0
06
0.9
82
0.9
57
0.9
31
0.9
02
0.8
71
0.8
39
0.8
04
0.7
68
0.7
3*
0.6
9
-- --
400
1.1
20
1.1
12
1.1
02
1.0
90
1.0
76
1.0
59
1.0
40
1.0
19
0.9
96
0.9
71
0.9
44
0.9
14
0.8
82
0.8
48
0.8
12
0.7
73
0.7
4*
0.7
0
-- --
500
1.1
23
1.1
18
1.1
10
1.0
99
1.0
87
1.0
71
1.0
54
1.0
33
1.0
11
0.9
85
0.9
58
0.9
27
0.8
95
0.8
60
0.8
22
0.7
82
0.7
4*
0.7
0
-- --
600
1.1
26
1.1
21
1.1
13
1.1
03
1.0
90
1.0
75
1.0
58
1.0
39
1.0
17
0.9
93
0.9
67
0.9
38
0.9
07
0.8
74
0.8
38
0.8
00
0.7
60
0.7
18
0.6
73
0.6
3*
Pre
ssu
re
700
1.1
30
1.1
24
1.1
16
1.1
06
1.0
94
1.0
79
1.0
63
1.0
44
1.0
23
1.0
00
0.9
75
0.9
48
. 0
.91
9
0.8
87
0.8
53
0.8
17
0.7
79
0.7
39
0.6
97
0.6
5*
(bars
)
800
1.1
33
1.1
28
1.1
22
1.1
13
1.1
02
1.0
88
1.0
72
1.0
54
1.0
34
1.0
11
0.9
86
0.9
59
0.9
30
0.8
98
0.8
64
0.8
28
0.7
89
0.7
49
0.7
05
0.6
6*
900
1.1
36
1.1
31
1.1
24
1.1
15
1.1
04
1.0
90
1.0
75
1.0
57
1.0
38
1.0
16
0.9
92
0.9
69
0.9
40
0.9
09
0.8
75
0.8
39
0.8
00
0.7
59
0.7
16
0.6
70
1000
1.1
40
1.1
34
1.1
27
1.1
17
1.1
06
1.0
93
1.0
78
1.0
61
1.0
42
1.0
21
0.9
98
0.9
74
0.9
48
0.9
21
0.8
92
0.8
61
0.8
29
0.7
95
0.7
6*
0.7
2*
1250
1.1
48
1.1
42
1.1
33
1.1
23
1.1
12
1.0
99
1.0
85
1.0
69
1.0
52
1.0
33
1.0
13
0.9
91
0.9
68
0.9
43
0.9
17
0.8
89
0.8
60
0.8
25
0.7
97
0.7
64
1500
1.1
56
1.1
49
1.1
41
1.1
32
1.1
22
1.1
10
1.0
97
1.0
82
1.0
66
1.0
49
1.0
31
1.0
11
0.9
90
0.9
67
0.9
43
0.9
18
0.8
92
0.8
64
0.8
25
0.8
04
1750
1.1
63
1.1
57
1.1
49
1.1
40
1.1
30
1.1
19
1.1
06
1.0
92
1.0
78
1.0
62
1.0
45
1.0
26
1.0
07
0.9
86
0.9
64
0.9
41
0.9
17
0.8
92
0.8
65
0.8
38
2000
1.1
70
1.1
64
1.1
57
1.1
48
1.1
39
1.1
28
1.1
16
1.1
04
1.0
90
1.0
75
1.0
59
1.0
41
1.0
23
1.0
04
0.9
83
0.9
61
0.9
39
0.9
15
0.8
90
0.8
64
VOLUME!
O l~d 8 M » B CO *J
CO O O £H g O W f » Q M CO c i-3 O 25 CO O 1 »
Ol
TAB
LE 9
. D
ensi
ties
of 3
.5 m
olal
NaC
l so
luti
ons,
g/c
m3
O
[The
uncert
ain
ties
in
the
den
siti
es
are:
3-p
lace
fi
gu
res
±0.
005
and
±0.
05 fo
r 2-p
lace
fi
gu
res.
]
Tem
p °C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.12
6
1.11
3
1.10
0
1.08
3
1.06
6
1.04
7
1.02
6
1.00
2
0.97
7
0.9
50
0.92
1
0.8
86
0.85
*-- -- .-
- -- -- -- ..
200
1.02
8
1.11
7
1.10
6
1.09
1
1.07
4
1.05
5
1.03
4
1.01
1
0.98
4
0.9S
6
0.9
26
0.89
3
0.8
60
0.82
*
0.78
*-- -- -- -- -.
300
1.13
0
1.12
0
1.10
8
1.09
4
1.07
9
1.06
1
1.04
3
1.02
2
0.99
8
0.97
4
0.94
9
0.92
1
0.89
2
0.86
1
0.82
1
0.79
* --
400
1.1
34
1.1
27
1.1
17
1.1
05
1.0
91
1.0
74
1.0
55
1.0
35
1.0
12
0.9
88
0.9
62
0.9
33
0.9
03
0.8
70
0.8
34
0.7
96
0.7
6*
-- -- --
500
1.13
9
1.13
3
1.12
5
1.11
4
1.10
2
1.0
86
1.06
8
1.04
9
1.02
7
1.00
2
0.97
5
0.9
46
0.9
15
0.8
82
0.84
4
0.80
5
0.77
*-- -- --
600
1.14
2
1.13
6
1.12
8
1.11
8
1.10
5
1.09
0
1.07
3
1.05
4
1.03
3
1.0
10
0.98
4
0.9
56
0.9
27
0.89
5
0.8
60
0.82
3
0.79
1
0.73
9
0.70
8
0.67
*
Pre
ssure
700
1.04
5
1.13
9
1.13
1
1.12
1
1.10
8
1.09
4
1.07
8
1.05
9
1.03
9
1.0
17
0.99
2
0.9
66
0.9
38
0.9
07
0.87
4
0.8
40
0.81
1
0.7
59
0.7
34
0.69
*
(bar
s)
800
1.14
9
1.14
3
1.13
7
1.12
8
1.11
7
1.1
03
1.08
7
1.06
9
1.05
0
1.02
8
1.00
3
0.97
7
0.94
9
0.91
8
0.88
5
0.85
1
0.82
1
0.77
0
0.74
6
0.72
*
900
1.15
2
1.14
6
1.13
9
1.13
0
1.11
9
1.10
5
1.09
0
1.07
2
1.05
4
1.03
2
1.00
9
0.98
6
0.95
8
0.92
8
0.89
6
0.86
2
0.83
2
0.78
0
0.75
7
0.74
*
1000
1.15
5
1.14
9
1.14
2
1.13
2
1.12
1
1.10
8
1.09
3
1.07
6
1.05
8
1.03
7
1.01
5
0.99
1
0.96
6
0.94
0
0.91
2
0.88
2
0.85
2
0.81
5
0.78
7
0.75
*
1250
1.16
5
1.15
7
1.14
8
1.13
8
1.12
7
1.11
4
1.10
0
1.08
4
1.06
8
1.04
9
1.03
0
1.00
8
0.98
6
0.96
1
0.93
6
0.90
9
0.88
1
0.84
5
0.81
7
0.78
9
1500
1.17
1
1.16
4
1.15
6
1.14
7
1.13
7
1.12
5
1.11
2
1.09
7
1.08
1
1.06
5
1.04
7
1.02
8
1.00
7
0.98
5
0.96
2
0.93
7
0.91
2
0.88
5
0.85
7
0.82
9
1750
1.17
8
1.17
2
1.16
3
1.15
4
1.14
4
1.13
3
1.12
1
1.10
7
1.09
3
1.07
8
1.06
1
1.04
2
1.02
4
1.00
4
1.98
2
0.96
0
0.93
7
0.91
2
0.88
7
0.86
3
2000
1.18
5
1.17
8
1.17
1
1.16
2
1.15
3
1.14
2
1.13
1
1.11
9
1.10
5
1.09
0
1.07
5
1.05
7
1.04
0
1.02
1
1.00
1
0.97
9
0.95
8
0.93
5
0.91
1
0.88
8
r CO O
o CO o
r o CO
'Extr
apola
ted v
alu
es
VOLUMETRIC PROPERTIES OF SODIUM CHLORIDE SOLUTIONS C17
O rt
-.' rt ~< rt rt -< ~ -^ -^ -H' rH rt O O O O O O O O
M 00ooooooooo
3O i/ll/iTftO(NOcir-'l/lrOOGOl/lCNO>LOCNOO^> O
*H» tf ti-Hi (i lOOOCOldClO^OOOO
TABL
E 11.
Den
siti
es o
f 4.5
mol
al N
ad
sol
utio
ns, g
/cm
3
[The
un
cert
ain
ties
in th
e d
en
siti
es
are:
3-p
lace
fi
gu
res
±O.O
Q5
and
±0.
05 fo
r 2-p
lace
fi
gu
res.
]
O I '
oo
Tem
p °C
25 SO 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.15
5
1.14
2
1.12
8
1.11
3
1.09
6
1.0
78
1.05
8
1.03
7
1.01
4
0.9
90
0.96
5
0.93
8
0.90
4-- -- -- -- -- -- ~~
200
1.15
8
1.14
6
1.13
3
1.11
8
1.10
2
1.08
4
1.06
5
1.04
5
1.02
3
1.00
0
0.97
5
0.94
9
0.92
2
0.89
3
0.8
63
0.83
1
0.80
*
0.76
* --
300
1.16
1
1.14
9
1.13
6
1.12
2
1.10
7
1.09
0
1.07
1
1.05
1
1.03
0
1.00
7
0.9
83
0.95
7
0.9
30
0.90
2
0.87
2
0.84
1
0.81
*
0.77
*-- --
400
1.1
65
1.1
55
1.1
45
1.1
32
1.1
18
1.1
02
1.0
84
1.0
64
1.0
43
1.0
20
0.9
96
0.9
70
0.9
42
0.9
12
0.8
80
0.8
47
0.8
1*
0.7
8*
-- --
500
1.16
8
1.15
9
1.14
9
1.13
7
1.12
3
1 .'1
08
1.09
1
1.07
2
1.05
1
1.02
9
1.00
5
0.9
79
0.95
1
0.92
2
0.89
1
0.8
58
0.82
*
0.79
* -
600
1.17
1
1.16
3
1.15
3
1.14
2
1.12
9
1.11
4
1.09
7
1.07
9
1.05
9
1.03
7
1.01
3
0.9
88
0.96
1
0.9
33
0.90
2
0.8
70
0.8
36
0.80
*
0.76
*--
Pre
ssure
700
1.17
4
1.16
7
1.15
7
1.14
6
1.13
3
1.1
19
1.10
3
1.08
5
1.06
6
1.04
5
1.02
2
0.9
97
0.97
1
0.9
43
0.91
4
0.8
83
0.8
50
0.82
*
0.78
*--
(bar
s)
800
1.17
7
1.17
0
1.16
1
1.15
1
1.13
8
1.12
5
1.10
9
1.09
2
1.07
3
1.05
2
1.0
30
1.00
7
0.98
1
0.95
4
0.92
5
0.8
95
0.8
63
0.83
*
0.79
*--
900
1.18
1
1.17
3
1.16
5
1.15
4
1.14
2
1.12
9
1.11
4
1.09
7
1.07
9
1.05
9
1.03
7
1.01
4
0.98
9
0.96
3
0.93
6
0.90
6
0.87
5
0.84
3
0.81
*
0.77
*
1000
1.18
4
1.17
7
1.16
8
1.15
8
1.14
6
1.13
3
1.11
8
1.10
2
1.08
4
1.06
5
1.04
5
1.02
2
0.99
9
0.97
3
0.94
6
0.91
8
0.88
8
0.85
7
0.82
*
0.79
*
1250
1.19
1
1.18
4
1.17
6
1.16
6
1.15
5
1.14
3
1.12
9
1.11
4
1.09
8
1.08
0
1.06
2
1.04
1
1.02
0
0.99
7
0.97
2
0.94
7
0.92
0
0.89
2
0.86
2
0.83
1
1500
1.19
8
1.19
2
1.18
4
1.17
5
1.16
5
1.15
4
1.14
1
1.12
7
1.11
2
1.09
5
1.07
8
1.05
9
1.03
8
1.01
7
0.99
4
0.97
0
0.94
5
0.91
9
0.89
1
0.86
2
1750
1.20
5
1.19
9
1.19
1
1.18
3
1.17
3
1.16
2
1.15
0
1.13
7
1.12
3
1.10
8
1.09
2
1.07
4
1.05
6
1.03
6
1.01
5
0.99
3
0.97
0
0.94
6
0.92
1
0.89
5
2000
1.21
2
1.20
6
1.19
9
1.19
1
1.18
2
1.17
2
1.16
1
1.14
8
1.13
5
1.12
1
1.10
6
1.09
0
1.07
2
1.05
4
1.03
4
1.01
4
0.99
3
0.97
0
0.94
7
0.92
2
s I W f w
co
*n
o » 2 » O co o t-1 c H O
2
CO
'Extr
apola
ted v
alues
VOLUMETRIC PROPERTIES OF SODIUM CHLORIDE SOLUTIONS C19
3 S
oi(NtOTt-Tr'O'HOOTi-airovOcoaioait^i/irH
I If t I < t I I I rH f I ^H FH l l*Hi < i I I If-HOOOO
rt rt' rt _< rt ^i J rt rt rt rt -H ^' O O O O O O
J _' ^' J J ^1 rt rt rt « rt O O C5 O O O O O
£
° -1 °
rtrtrH^rHrtrtrtOOOOOOO
rt r-< rn' rt -.' rt rt O O O O O O O
i lOOOOClfftOOll I I I I I
TAB
LE 1
3.
Den
siti
es o
f 5.5
mol
al N
aCl
solu
tion
s, g
/cm
3
[The
uncert
ain
ties
in t
he
densi
ties
are:
3-p
lace
fi
guT
es
±0.
005
and
±0.
05
for
2-p
lace
fi
gu
res.
]
o to o
Tem
p °C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.18
3
1.17
1
1.15
7
1.14
2
1.12
5
1.10
7
1.08
8
1.06
8
1.04
6
1.02
4
0.99
9
0.97
4
0.94
7
0.91
9
0.89
*
0.85
*-- ^- -- -~
200
1.18
6
1.17
4
1.16
1
1.14
6
1.1
30
1.11
3
1.09
4
1.07
4
1.05
3
1.03
0
1.00
7
0.98
2
0.9
55
0.9
28
0.8
99
0.86
8
0.84
*
0.80
*-- --
300
1.18
9
1.17
7
1.16
4
1.15
0
1.13
5
1.11
8
1.10
0
1.0
80
1.05
9
1.03
7
1.01
4
0.98
9
0.9
63
0.9
36
0.9
08
0.8
78
0.8
46
0.81
*
0.78
*
400
1.1
93
1.1
83
1.1
72
1.1
59
1.1
45
1.1
29
1.1
12
1.0
93
1.0
72
1.0
50
1.0
27
1.0
01
0.9
75
0.9
46
0.9
16
0.8
85
0.8
52
0.8
2*
0.7
8*
--
500
1.19
6
1.18
7
1.17
6
1.16
4
1.15
0
1.13
5
1.11
8
1.10
0
1.08
0
1.05
8
1.03
5
1.01
0
0.98
4
0.95
6
0.92
6
0.89
5
0.86
3
0.83
*
0.79
*--
600
1.19
9
1.19
1
1.18
0
1.16
9
1.15
6
1.14
1
1.12
4
1.10
7
1.08
7
1.06
6
1.04
3
1.01
9
0.99
3
0.9
66
0.93
7
0.90
7
0.87
5
0.84
*
0.81
*--
Pre
ssure
700
1.20
2
1.19
4
1.18
4
1.17
3
1.16
0
1.14
6
1.1
30
1.11
2
1.09
4
1.07
3
1.05
1
1.02
8
1.00
2
0.97
6
0.94
8
0.9
18
0.88
7
0.85
4
0.82
*
0.78
*
(bar
s)
800
1.20
5
1.19
7
1.18
8
1.17
7
1.16
5
1.15
1
1.13
5
1.11
9
1.10
0
1.08
0
1.05
9
1.03
6
1.01
2
0.98
6
0.95
9
0.9
30
0.89
9
0.86
8
0.83
*
0.80
*
900
1.20
9
1.20
1
1.19
2
1.18
1
1.16
9
1.15
6
1.14
1
1.12
4
1.10
6
1.08
7
1.06
6
1.04
4
1.02
1
0.99
5
0.96
9
0.94
1
0.91
2
0.88
1
0.85
*
0.82
*
1000
1.21
1
1.20
4
1.19
5
1.18
4
1.17
3
1.16
0
1.14
5
1.12
9
1.11
2
1 . 0
93
1.07
3
1.05
2
1.02
9
1.00
5
0.97
9
0.95
2
0.92
4
0.89
4
0.86
3
0.83
*
1250
1.21
8
1.21
1
1.20
2
1.19
3
1.18
2
1.16
9
1.15
6
1.14
1
1.12
5
1.10
8
1.09
0
1.07
0
1.04
9
1.02
7
1.00
4
0.97
9
0.95
4
0.92
7
0.89
8
0.86
9
1500
1.22
5
1.12
8
1.21
0
1.20
0
1.19
0
1.17
8
1.16
6
1.15
2
1.13
7
1.12
1
1.10
4
1.08
6
1.06
7
1.04
6
1.02
5
1.00
2
0.97
9
0.95
4
0.92
8
0.90
2
1750
1.23
2
1.22
5
1.21
7
1.20
8
1.19
8
1.18
7
1.17
5
1.16
2
1.14
8
1.13
3
1.11
8
1.10
1
1.08
3
1.06
5
1.04
5
1.02
5
1.00
3
0.98
1
0.95
8
0.93
4
2000
1.23
8
1.23
2
1.22
4
1.21
5
1.20
6
1.19
6
1.18
5
1.17
2
1.16
0
1.14
6
1.13
1
1.11
6
1.09
9
1.08
2
1.06
4
1.04
4
1.02
4
1.00
4
0.98
2
0.95
9
r
S I S r H co
*)
o p o CO O o 2 CO
Extr
apola
ted v
alu
es
VOLUMETRIC PROPERTIES OF SODIUM CHLORIDE SOLUTIONS C 21
OCOfc
r~* *f SO 00 00 00 CO to CO
O O O Ol Ol
-*' 1H 1-1 O' O
oo 01 o o 01 r~-*H Ol 00 Is* vO *
O T f» 00 O
,H rt o O O
-I -< d o o
0000
o o o o
rH O O\ 00rt r- to r~ o
to (N o co o ^r 1-1m ^H in co o
o o' o o o
o o o o o>
Csi^OO10O\OLOtO*H tn to ^H GOrt rti-lrt lOOOOO
o o o o o
00 O O Ol t-m to o NO to
o o o o o
O O O O O Ol Ol Ol 00 00 00
o o o o o
ooioop^inTfCMOco
Oi oo r^ in ^t
« oo to r^ o oi r- \o *t to
^oif^intooooin -lOOOOOOlOi
<-< oo in o *r oO O O O Oi Oi
j _; rt J d o'
O O O O Ol Ol Ol
r-l rt rt -« O O O
Ol CO CO COo' d o' o'
Ol 00 00
o o o
Ol 00 00
o o o
rt rH rt O O O
(N O 00 vOrt O O
OOOOOO
TT ^H Ol *O toO Ol Ol Ol Ol
rH O O O O
00 00
o o o
rn m 01O O O O Ol
inr--o<Ninr^orM
o o o o
oinoinoinomoino
TAB
LE 1
5.
Den
siti
es o
f 1
wei
ght
perc
ent
NaC
l so
luti
ons,
g/c
m3
[The
uncert
ain
ties
in
the
den
siti
es
are:
3-p
lace
fi
gu
res
±0.
005
and
±0.
05
for
2-p
lace
fi
gu
res.
]
o to
to
Tem
p °C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.00
3
1.00
0
0.99
1
0.97
8
0.96
0
0.9
39
0.91
4
0.88
6
0.85
3
0.81
7
0.7
76
-- -- -- -- - -- ~~
200
1.01
0
1.00
3
0.99
3
0.97
9
0.96
3
0.94
3
0.91
9
0.89
3
0.86
2
0.82
9
0.7
93
0.75
4
0.71
*-- -- -- -- -- ~~
300
1.01
5
1.00
8
0.99
7
0.98
4
0.96
8
0.94
7
0.92
4
0.89
9
0.86
9
0.83
7
0.80
0
0.76
1
0.71
9
0.68
*-- -- -- -- -- "~
400
1.01
9
1.01
4
1.00
4
0.99
2
0.97
7
0.95
7
0.93
6
0.91
0
0.88
1
0.84
9
0.81
3
0.77
3
0.73
1
0.69
*-- -- -- -- --
500
1.02
3
1.01
7
1.00
7
0.9
96
0.9
80
0.96
2
0.94
0
0.9
16
0.88
8
0.8
58
0.82
4
0.7
86
0.7
46
0.7
03
0.66
*-- -- -- ~~
600
1.02
7
1.02
1
1.01
3
1.00
1
0.98
6
0.9
68
0.94
7
0.9
23
0.89
7
0.86
7
0.8
35
0.7
99
0.76
0
0.71
9
0.67
*-- -- -- ~~
Pre
ssure
700
1.03
2
1.02
7
1.01
8
1.0
08
0.9
93
0.9
78
0.9
57
0.9
34
0.9
08
0.8
79
0.8
45
0.8
10
0.7
70
0.7
29
0.68
*-- -- -- -- ~~
(bar
s)
800
1.03
6
1.02
9
1.02
0
1.01
0
0.99
6
0.98
0
0.96
1
0.93
9
0.91
4
0.88
6
0.85
6
0.82
3
0.78
8
0.75
0
0.70
9
0.66
*-- -- -- "
900
1.04
0
1.03
4
1.02
5
1.01
5
1.00
1
0.98
5
0.96
7
0.94
5
0.92
1
0.89
6
0.86
7
0.83
4
0.80
1
0.76
4
0.72
6
0.68
*-- -- --
1000
1.04
4
1.03
8
1.02
9
1.01
9
1.00
7
0.99
1
0.97
4
0.95
3
0.93
0
0.90
5
0.87
7
0.84
7
0.81
4
0.77
7
0.7
40
0.69
8
0.65
*-- -- --
1250
1.05
2
1.04
6
1.03
9
1.02
9
1.01
7
1.00
3
0.98
6
0.96
8
0.94
7
0.92
4
0.90
0
0.87
2
0.84
3
0.81
1
0.77
8
0.74
1
0.69
9
0.65
*-- "
1500
1.06
1
1.05
5
1.04
7
1.03
8
1.02
7
1.01
4
0.99
8
0.98
0
0.96
1
0.94
0
0.91
6
0.89
1
0.86
4
0.83
S
0.80
4
0.77
1
0.73
5
0.69
9
0.65
9--
1750
1.06
9
1.06
3
1.05
8
1.04
9
1.03
9
1.02
6
1.01
2
0.99
7
0.97
9
0.95
8
0.93
6
0.91
4
0.88
7
0.86
0
0.83
1
0.80
0
0.76
6
0.73
2
0.69
4
0.67
*
2000
1.07
7
1.07
1
1.06
5
1.05
8
1.04
7
1.03
7
1.02
3
1.00
8
0.99
1
0.97
2
0.95
3
0.93
1
0.90
7
0.88
2
0.85
5
0.82
7
0.79
6
0.76
4
0.73
0
0.69
5
T3 £ f CO w f w CO
"3
O to
O CO o o 2 CO
*E
xtr
apo
late
d
val
ues
TAB
LE 1
6.
Den
siti
es o
f 3 w
eigh
t pe
rcen
t N
aCl
solu
tion
s, g
/cm
3
[The
uncert
ain
ties
in th
e d
en
siti
es
are
: 3-p
lace
fig
ure
s ±
0.0
05
and
±0
.05
fo
r 2
-pla
ce fi
gu
res.
]
Tem
p °C
25
1
50
1
75
1
100
0
125
0
150
0
175
0
200
0
225
0
250
0
275
0
300
0
325
350
375
400
425
450
475
500
*E
xtr
apo
late
d
100
.01
8
.01
4
.00
3
.99
0
.97
3
.95
2
.92
7
.89
9
.86
7
.83
2
.79
3
.74
7
-- -- valu
es
200
1.0
24
1.0
17
1.0
06
0.9
92
0.9
76
0.9
56
0.9
32
0.9
06
0.8
76
0.8
43
0.8
07
0.7
68
0.7
25
-- --
300
1.0
28
1.0
21
1.0
10
0.9
97
0.9
81
0.9
61
0.9
39
0.9
14
0.8
85
0.8
54
0.8
19
0.7
81
0.7
41
0.7
0*
"
400
1.0
33
1.0
28
1.0
18
1.0
06
0.9
91
0.9
72
0.9
51
0.9
26
0.8
98
0.8
67
0.8
32
0.7
94
0.7
53
0.7
1*
--
500
1.0
37
1.0
31
1.0
22
1.0
11
0.9
96
0.9
78
0.9
57
0.9
34
0.9
07
0.8
77
0.8
44
0.8
07
0.7
68
0.7
26
0.6
8*
-
600
1.0
41
1.0
35
1.0
27
1.0
16
1.0
01
0.9
84
0.9
64
0.9
41
0.9
15
0.8
86
0.8
55
0.8
20
0.7
82
0.7
42
0.7
0*
--
Pre
ssu
re
700
1.0
45
1.0
40
1.0
33
1.0
22
1.0
09
0.9
93
0.9
73
0.9
51
0.9
25
0.8
97
0.8
65
0.8
31
0.7
93
0.7
53
0.7
1*
--
(bars
)
800
1.0
50
1.0
43
1.0
35
1.0
25
1.0
12
0.9
96
0.9
77
0.9
56
0.9
32
0.9
05
0.8
76
0.8
44
0.8
09
0.7
72
0.7
32
0.6
9*
-
900
1.0
53
1.0
47
1.0
39
1.0
29
1.0
16
1.0
01
0.9
83
0.9
62
0.9
39
0.9
14
0.8
86
0.8
55
0.8
22
0.7
86
0.7
48
0.7
0*
-
1000
1.0
57
1.0
51
1.0
43
1.0
33
1.0
21
1.0
06
0.9
89
0.9
69
0.9
47
0.9
22
0.8
95
0.8
66
0.8
34
0.7
99
0.7
63
0.7
24
0.6
8*
1250
1.0
65
1.0
59
1.0
52
1.0
42
1.0
30
1.0
16
1.0
00
0.9
82
0.9
62
0.9
40
0.9
16
0.8
89
0.8
61
0.8
30
0.7
98
0.7
63
0.7
23
0.6
8*
1500
1.0
74
1.0
68
1.0
60
1.0
51
1.0
40
1.0
27
1.0
12
0.9
95
0.9
76
0.9
56
0.9
33
0.9
09
0.8
83
0.8
55
0.8
25
0.7
93
0.7
59
0.7
25
0.6
87
0.6
6*
1750
1.0
82
1.0
76
1.0
70
1.0
61
1.0
51
1.0
39
1.0
25
1.0
10
0.9
93
0.9
73
0.9
52
0.9
30
0.9
05
0.8
79
0.8
51
0.8
21
0.7
89
0.7
57
0.7
21
0.6
9*
2000
1.0
90
1.0
84
1.0
78
1.0
70
1.0
60
1.0
49
1.0
36
1.0
21
1.0
05
0.9
87
0.9
68
0.9
47
0.9
24
0.9
00
0.8
74
0.8
47
0.8
17
0.7
87
0.7
55
0.7
22
OLUMETRIC
» O 1 CO ^ O O i i
O o 1 o f o CO 0
to CO
TAB
LE 1
7.
Den
siti
es o
f 5 w
eigh
t pe
rcen
t N
aCl
solu
tion
s, g
lcm
3
[The u
ncer
tain
ties
in the
dens
itie
s are:
3-place
figu
res
.±0.
005
and.
±0.0
5 for
2-pl
ace
figures.]
o to
Tem
p °C
25 50 75
100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.0
33
1.0
27
1.0
16
1.0
03
0.9
85
0.9
64
0.9
40
0.9
13
0.8
82
0.8
48
0.8
09
0.7
65
-- -- -- -- -- ~~
200
1.0
38
1.0
31
1.0
20
1.0
06
0.9
89
0.9
70
0.9
46
0.9
20
0.8
90
0.8
57
0.8
21
0.7
83
0.7
41
0.7
0*
0.6
6*
-- -- ~~
300
1.0
42
1.0
34
1.0
23
1.0
10
0.9
95
0.9
75
0.9
53
0.9
29
0.9
01
0.8
71
0.8
38
0.8
02
0.7
64
0.7
2*
0.6
8*
-- -- - ~~
400
1.0
46
1.0
41
1.0
32
1.0
20
1.0
05
0.9
86
0.9
66
0.9
41
0.9
14
0.8
85
0.8
51
0.8
15
0.7
76
0.7
34
0.6
9*
--
500
1.0
51
1.0
46
1.0
37
1.0
26
1.0
12
0.9
94
0.9
74
0.9
52
0.9
26
0.8
96
0.8
64
0.8
28
0.7
90
0.7
49
0.7
00
0.6
78
0.6
4*
-- -- ~
600
1.0
55
1.0
49
1.0
42
1.0
31
1.0
17
1.0
00
0.9
80
0.9
58
0.9
33
0.9
05
0.8
75
0.8
41
0.8
04
0.7
65
0.7
09
0.6
94
0.6
5*
-- ~
Pre
ssu
re
700
1.0
59
1.0
54
1.0
47
1.0
36
1.0
24
1.0
08
0.9
88
0.9
67
0.9
42
0.9
15
0.8
84
0.8
52
0.8
16
0.7
77
0.7
25
0.7
09
0.6
66
0.6
25
-- "
(bars
)
800
1.0
63
1.0
57
1.0
50
1.0
40
1.0
28
1.0
12
0.9
94
0.9
73
0.9
51
0.9
24
0.8
96
0.8
65
0.8
31
0.7
94
0.7
55
0.7
20
0.6
76
0.6
35
-- --
900
1.0
67
1.0
61
1.0
53
1.0
44
1.0
31
1.0
17
0.9
99
0.9
78
0.9
57
0.9
32
0.9
05
0.8
76
0.8
43
0.8
08
0.7
70
0.7
31
0.6
87
0.6
45
-- "
1000
1.0
70
1.0
64
1.0
57
1.0
47
1.0
35
1.0
21
1.0
04
0.9
85
0.9
63
0.9
39
0.9
13
0.8
85
0.8
54
0.8
21
0.7
86
0.7
48
0.7
16
0.6
81
0.6
4*
"
1250
1.0
79
1.0
73
1.0
65
1.0
55
1.0
43
1.0
30
1.0
14
0.9
96
0.9
77
0.9
55
0.9
32
0.9
06
0.8
79
0.8
49
0.8
19
0.7
85
0.7
47
0.7
11
0.6
76
0.6
3*
1500
1.0
87
1.0
81
1.0
73
1.0
64
1.0
53
1.0
41
1.0
26
1.0
10
0.9
91
0.9
71
0.9
50
0.9
26
0.9
02
0.8
75
0.8
46
0.8
15
0.7
83
0.7
50
0.7
14
0.6
77
1750
1.0
95
1.0
89
1.0
83
1.0
74
1.0
64
1.0
52
1.0
38
1.0
23
1.0
07
0.9
87
0.9
67
0.9
46
0.9
22
0.8
97
0.8
71
0.8
42
0.8
12
0.7
81
0.7
47
0.7
18
2000
1.1
03
1-.0
97
1.0
91
1.0
82
1.0
73
1.0
62
1.0
49
1.0
35
1.0
19
1.0
02
0.9
83
0.9
63
0.9
41
0.9
18
0.8
93
0.8
67
0.8
39
0.8
10
0.7
79
0.7
48
s 1 CO
*) O o CO o O 2 CO
'Ex
trapo
late
d v
alu
es
TAB
LE 1
8.
Den
siti
es o
f 7
wei
ght
perc
ent
NaC
l so
luti
ons,
g/c
m3
[The
unc
erta
inti
es in th
e densities
are:
3-place
figu
res
±0.0
05 and
±0.0
5 for
2-pl
ace
figures.]
Tem
p °C
10
0
25
1.
50
1.
75
1.
100
1.
125
0.
150
0.
175
0.
200
0.
225
0.
250
0.
275
0.
300
0.
325
350
375
400
425
450
475
500
*E
xtr
apola
ted
049
041
030
015
998
977
954
927
897
864
827
784
- - - - - valu
es
200
1.0
52
1.0
45
1.0
34
1.0
20
1.0
03
0.9
83
0.9
60
0.9
34
0.9
04
0.8
72
0.8
37
0.7
99
0.7
58
0.7
2*
0.6
8*
-. -- --
300
1.0
55
1.0
48
1.0
37
1.0
24
1.0
08
0.9
88
0.9
68
0.9
44
0.9
17
0.8
88
0.8
57
0.8
23
0.7
86
0.7
4*
0.7
0*
-. -- --
400
1.0
60
1.0
55
1.0
46
1.0
34
1.0
19
1.0
01
0.9
80
0.9
57
0.9
31
0.9
02
0.8
70
0.8
35
0.7
98
0.7
57
0.7
1*
-. -- --
500
1.0
65
1.0
60
1.0
52
1.0
41
1.0
28
1.0
11
0.9
91
0.9
69
0.9
44
0.9
15
0.8
84
0.8
49
0.8
12
0.7
72
0.7
32
0.6
9*
.- -- --
600
1.0
69
1.0
64
1.0
56
1.0
46
1.0
32
1.0
16
0.9
97
0.9
75
0.9
51
0.9
24
0.8
94
0.8
61
0.8
26
0.7
88
0.7
48
0.7
0*
-- -- --
Pre
ssu
re
700
1.0
73
1.0
68
1.0
61
1.0
50
1.0
38
1.0
22
1.0
04
0.9
83
0.9
59
0.9
33
0.9
03
0.8
72
0.8
37
0.8
00
0.7
64
0.7
25
0.6
9*
-- --
(bars
)
800
1.0
77
1.0
71
1.0
64
1.0
55
1.0
43
1.0
28
1.0
11
0.9
90
0.9
68
0.9
42
0.9
15
0.8
84
0.8
51
0.8
16
0.7
78
0.7
41
0.7
1*
-- --
900
1.0
80
1.0
75
1.0
67
1.0
58
1.0
46
1.0
32
1.0
15
0.9
95
0.9
74
0.9
49
0.9
23
0.8
95
0.8
63
0.8
2§
0.7
92
0.7
57
0.7
15
0.6
7*
--
1000
1.0
84
1.0
78
1.0
71
1.0
61
1.0
50
1.0
36
1.0
19
1.0
01
0.9
80
0.9
56
0.9
30
0.9
03
0.8
73
0.8
42
0.8
08
0.7
72
0.7
32
0.6
9*
--
1250
1.0
93
1.0
86
1.0
78
1.0
68
1.0
57
1.0
43
1.0
28
1.0
11
0.9
92
0.9
71
0.9
48
0.9
23
0.8
97
0.8
69
0.8
39
0.8
07
0.7
71
0.7
41
0.7
1*
1500
1.1
01
1.0
94
1.0
85
1.0
77
1.0
67
1.0
54
1.0
40
1.0
24
1.0
06
0.9
87
0.9
66
0.9
44
0.9
20
0.8
94
0.8
66
0.8
37
0.8
06
0.7
74
0.7
40
0.7
07
1750
1.1
09
1.1
02
1.0
96
1.0
87
1.0
77
1.0
65
1.0
51
1.0
37
1.0
21
1.0
03
0.9
83
0.9
62
0.9
40
0.9
16
0.8
90
0.8
63
0.8
34
0.8
04
0.7
72
0.7
44
2000
1.1
16
1.1
10
1.1
04
1.0
95
1.0
86
1.0
75
1.0
62
1.0
48
1.0
33
1.0
16
0.9
98
0.9
78
0.9
57
0.9
35
0.9
11
0.8
86
0.8
60
0.8
32
0.8
02
0.7
74
VOLUMETRIC
» O M ^ M O
"3 CO O O 5 ^ § f
O 1 GO O C! O CO O bO en
TAB
LE 1
9. D
ensi
ties
of 9
wei
ght
perc
ent
NaC
l so
luti
ons,
g/c
m3
[The
uncert
ain
ties
in
the
den
siti
es
are:
3-p
lace
fi
gure
s ±
0.00
5 an
d ±
0.05
fo
r 2-p
lace
fi
gu
res.
]
Tem
p °C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.06
4
1.05
5
1.04
3
1.02
9
1.01
1
0.99
1
0.9
67
0.94
1
0.9
12
0.8
80
0.84
5
0.8
03
-- -- -- "
200
1.06
7
1.0
59
1.04
8
1.03
4
1.01
7
0.9
97
0.97
4
0.94
9
0.91
9
0.88
8
0.8
53
0.8
16
0.77
70.
73*
0.69
*
-- --
300
1.07
0
1.06
2
1.05
1
1.03
7
1.02
2
1.00
3
0.98
3
0.9
60
0.93
3
0.90
6
0.8
76
0.8
43
0.80
8
0.77
3
0.73
*
-- -- ~~
400
1.07
4
1.0
69
1.0
60
1.0
48
1.0
34
1.0
16
0.9
95
0.9
73
0.9
47
0.9
20
0.8
89
0.8
55
0.8
19
0.7
85
0.7
37
0.6
9*
-- ~~
500
1.07
9
1.07
5
1.06
7
1.05
6
1.04
3
1.02
6
"1.0
08
0.98
5
0.96
1
0.9
33
0.90
3
0.86
9
0.83
4
0.79
5
0.75
4
0.71
*
-- --
600
1.08
3
1.07
8
1.07
0
1.06
0
1.04
7
1.03
1
1.01
3
0.99
2
0.9
68
0.9
42
0.9
13
0.88
1
0.8
47
0.8
10
0.7
70
0.73
*
-- --
Pre
ssure
700
1.08
7
1.08
2
1.07
4
1.06
4
1.05
2
1.03
7
1.01
9
0.99
8
0.9
75
0.9
50
0.9
22
0.89
2
0.8
59
0.8
23
0.7
86
0.7
48
0.70
*-- -- "
(bar
s) 800
1.09
1
1.08
5
1.07
9
1.07
0
1.05
9
1.04
4
1.02
7
1.00
7
0.98
5
0.9
60
0.93
3
0.90
4
0.87
2
0.83
7
0.8
00
0.76
4
0.72
*-- -- ~~
900
1.09
4
1.08
9
1.08
2
1.07
3
1.06
1
1.04
7
1.03
1
1.01
1
0.99
1
0.96
7
0.94
1
0.91
5
0.88
3
0.85
0
0.81
3
0.78
0
0.73
8
0.69
*-- ~~
1000
1.09
8
1.09
2
1.08
5
1.07
5
1.06
4
1.05
0
1.03
4
1.01
6
0.99
6
0.97
2
0.94
8
0.92
1
0.89
3
0.86
2
0.83
0
0.79
5
0.75
5
0.71
*--
1250
1.10
7
1.10
0
1.09
2
1.08
2
1.07
1
1.05
7
1.04
2
1.02
5
1.00
7
0.98
6
0.96
5
0.94
0
0.91
5
0.88
8
0.85
9
0.82
8
0.79
4
0.76
5
0.73
4
0.70
*
1500
1.11
4
1.10
8
1.10
0
1.09
1
1.08
1
1.06
8
1.05
5
1.03
9
1.02
1
1.00
3
0.98
3
0.96
1
0.93
8
0.91
2
0.88
6
0.85
8
0.82
9
0.79
8
0.76
5
0.73
3
1750
1.12
2
1.11
6
1.10
9
1.10
0
1.09
0
1.07
8
1.06
5
1.05
0
1.03
5
1.01
8
0.99
9
0.97
8
0.95
7
0.93
4
0.90
9
0.88
3
0.85
6
0.8
27
0.79
6
0.77
0
2000
1.12
9
1.12
3
1.11
7
1.10
8
1.09
9
1.08
8
1.07
5
1.06
2
1.04
7
1.03
1
1.01
4
0.99
4
0.97
4
0.95
3
0.93
0
0.90
5
0.88
0
0.85
3
0.82
5
0.79
8
O
to r § |£j CO > g H w £ CO o 2 to
0 CO O f d H O CO
'Ex
trap
ola
ted
v
alu
es
TAB
LE 2
0.
Den
siti
es o
f 11
wei
ght
perc
ent
NaC
l so
luti
ons,
g/c
m3
[The
un
cert
aint
ies
in the
densities
are:
3-place
figures
±0.005 and
±0.0
5 for
2-place
figures.]
Tem
p °C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.0
80
1.0
69
1.0
57
1.0
42
1.0
25
1.0
04
0.9
82
0.9
56
0.9
28
0.8
97
0.8
63
0.8
23
.. __ -- ._ -- __ ..
200
1.0
82
1.0
73
1.0
63
1.0
48
1.0
31
1.0
12
0.9
89
0.9
64
0.9
35
0.9
04
0.8
70
0.8
34
0.7
96
0.7
6*
-- -- __ -- _.
300
1.0
85
1.0
76
1.0
65
1.0
51
1.0
36
1.0
17
0.9
97
0.9
75
0.9
50
0.9
23
0.8
95
0.8
63
0.8
29
0.7
95
0.7
5*
-- ._ -- _.
400
1.0
89
1.0
84
1.0
74
1.0
62
1.0
48
1.0
30
1.0
11
0.9
88
0.9
64
0.9
37
0.9
08
0.8
75
0.8
41
0.8
07
0.7
63
0.7
2*
.. -- __ ..
500
1.0
94
1.0
89
1.0
81
1.0
71
1.0
58
1.0
42
1.0
24
1.0
02
0.9
78
0.9
51
0.9
22
0.8
89
0.8
55
0.8
17
0.7
72
0.7
30
0.6
9*
-- __ ..
600
1.0
98
1.0
92
1.0
85
1.0
75
1.0
62
1.0
46
1.0
28
1.0
08
0.9
85
0.9
59
0.9
32
0.9
01
0.8
67
0.8
32
0.7
90
0.7
51
0.7
02
0.6
7*
__ ..
Pre
ssure
700
1.1
01
1.0
96
1.0
88
1.0
78
1.0
66
1.0
51
1.0
34
1.0
14
0.9
91
0.9
67
0.9
40
0.9
11
0.8
79
0.8
45
0.8
18
0.7
84
0.7
41
0.7
03
0.6
6*
(bars
)
800
1.1
05
1.1
00
1.0
94
1.0
85
1.0
73
1.0
59
1.0
42
1.0
24
1.0
02
0.9
78
0.9
51
0.9
23
0.8
92
0.8
58
0.8
22
0.7
88
0.7
45
0.7
09
0.6
7*
900
1.1
08
1.1
03
1.0
96
1.0
87
1.0
76
1.0
61
1.0
46
1.0
27
1.0
07
0.9
84
0.9
58
0.9
33
0.9
03
0.8
70
0.8
34
0.8
04
0.7
64
0.7
30
0.6
9*
..
1000
1.1
12
1.1
06
1.0
99
1.0
89
1.0
78
1.0
65
1.0
49
1.0
31
1.0
12
0.9
89
0.9
65
0.9
39
0.9
11
0.8
82
0.8
51
0.8
18
0.7
80
0.7
48
0.7
1*
..
1250
1.1
21
1.1
14
1.1
06
1.0
96
1.0
84
1.0
71
1.0
57
1.0
40
1.0
22
1.0
02
0.9
81
0.9
57
0.9
33
0.9
06
0.8
79
0.8
49
0.8
17
0.7
89
0.7
61
0.7
3*
1500
1.1
28
1.1
22
1.1
14
1.1
05
1.0
95
1.0
82
1.0
69
1.0
53
1.0
36
1.0
19
0.9
99
0.9
78
0.9
56
0.9
31
0.9
05
0.8
79
0.8
51
0.8
21
0.7
89
0.7
60
1750
1.1
36
1.1
30
1.1
22
1.1
13
1.1
03
1.0
92
1.0
79
1.0
64
1.0
50
1.0
33
1.0
15
0.9
94
0.9
74
0.9
51
0.9
28
0.9
03
0.8
77
0.8
50
0.8
20
0.7
94
2000
1.1
43
1.1
37
1.1
30
1.1
21
1.1
12
1.1
01
1.0
89
1.0
76
1.0
62
1.0
46
1.0
29
1.0
10
0.9
90
0.9
70
0.9
48
0.9
24
0.9
00
0.8
75
0.8
47
0.8
22
VOLUME! s o l~d § ""
Tj M 3 H W CO O CO O a 3 g O ffi 0 Q H CO
O f 3 0 z'Extrapolated
values
O
to
TABL
E 21.
Den
siti
es o
f 13
wei
ght p
erce
nt N
aCl
solu
tion
s, g
/cm
3
[The
un
cert
ain
ties
in th
e d
en
siti
es
are:
3-p
lace
fi
gu
res
±0.
005
and
±0.
05
for
2-p
lace
fi
gu
res.
]
O to oo
Tem
p °C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.09
5
1.08
3
1.07
1
1.05
5
1.03
8
1.01
8
0.99
6
0.97
1
0.94
4
0.91
4
0.88
2
0.84
3 - - - -- -
200
1.09
7
1.08
8
1.07
7
1.06
2
1.04
5
1.02
6
1.00
3
0.97
9
0.95
1
0.92
1
0.88
8
0.85
3
0.81
6
0.77
*-- -- -- -- - "
300
1.10
0
1.09
0
1.07
9
1.06
5
1.05
0
1 . 0
32
1.01
3
0.99
1
0.96
6
0.9
40
0.91
3
0.88
3
0.85
0
0.81
8
0.78
2
0.77
0
0.71
* -- ~"
400
1.10
3
1.09
8
1.08
8
1.07
6
1.06
2
1.04
5
1.02
6
1.00
4
0.98
0
0.95
4
0.92
6
0.89
5
0.86
2
0.82
7
0.79
1
0.77
7
0.72
*-- -- "~
500
1.10
9
1.10
4
1.09
6
1.08
5
1.07
3
1.05
7
1.04
0
1.01
8
0.99
5
0.9
68
0.94
0
0.90
8
0.87
5
0.83
9
0.80
1
0.78
6
0.73
*-- -- "~
600
1.11
2
1.10
7
1.09
9
1.08
9
1.07
6
1.06
1
1.04
4
1.02
4
1.00
2
0.97
6
0.9
50
0.92
0
0.88
8
0.85
3
0.81
7
0.79
4
0.73
8
0.70
4
0.67
*~~
Pre
ssure
700
1.11
6
1.11
0
1.10
2
1.09
2
1.08
0
1.06
5
1.04
9
1.03
0
1.00
8
0.98
4
0.9
58
0.9
30
0.9
00
0.8
66
0.8
32
0.81
1
0.75
7
0.72
4
0.69
*"~
(bar
s)
800
1.11
9
1.11
4
1.10
8
1.09
9
1.08
8
1.07
4
1.05
8
1.03
9
1.01
9
0.99
5
0.9
69
0.94
1
0.91
1
0.87
8
0.84
3
0.82
2
0.76
7
0.73
5
0.70
1
0.67
*
900
1.12
3
1.11
7
1.11
0
1.10
1
1.09
0
1.07
6
1.06
1
1.04
2
1.02
3
1.00
0
0.97
5
0.95
2
0.92
2
0.89
0
0.85
5
0.83
3
0.77
8
0.74
5
0.71
3
0.68
*
1000
1.12
6
1.12
0
1.11
3
1.10
3
1.09
2
1.07
9
1.06
4
1.04
7
1.02
7
1.00
6
0.98
2
0.95
7
0.93
0
0.90
2
0.87
2
0.84
0
0.80
8
0.77
4
0.74
6
0.70
*
1250
1.13
5
1.12
8
1.11
9
1.10
9
1.09
8
1.08
5
1.07
1
1.05
5
1.03
7
1.01
8
0.99
7
0.97
4
0.95
1
0.92
5
0.89
8
0.86
9
0.83
9
0.80
3
0.77
3
0.74
3
1500
1.14
2
1.13
5
1.12
9
1.11
9
1.10
8
1.09
6
1.08
3
1.06
8
1.05
2
1 . 0
34
1.01
6
0.99
5
0.97
3
0.94
9
0.92
5
0.89
9
0.87
2
0.84
3
0.81
3
0.77
5
1750
1.15
0
1.14
4
1.13
6
1.12
7
1.11
7
1.10
6
1.09
3
1.07
8
1.06
4
1.04
8
1.03
0
1.01
1
0.99
0
0.96
9
0.94
6
0.92
2
0.89
7
0.87
1
0.84
3
0.82
0
2000
1.15
7
1.15
1
1.14
4
1.13
5
1.12
6
1.11
5
1.10
3
1.09
0
1.07
6
1.06
1
1.04
4
1.02
6
1.00
7
0.98
7
0.96
6
0.94
3
0.92
0
0.89
5
0.86
9
0.84
5
S 3 w W M
CO o CO o
r o CO
Extr
apola
ted v
alu
es
TAB
LE 2
2.
Den
siti
es o
f 15
wei
ght
perc
ent
NaC
l so
luti
ons,
g/c
m3
[The
uncert
ain
ties
in
the
densi
ties
are:
3-p
lace
fi
gu
res
±0.
005
and
±0.
05
for
2-p
lace
fi
gu
res.
]
Tem
p°C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.11
1
1.09
8
1.08
5
1.06
9
1.05
2
1.03
3
1.01
1
0.98
7
0.96
1
0.93
2
0.90
1
0.86
5-- -- -- -- -- -- -- ~~
200
1.11
2
1.10
3
1.09
2
1.07
7
1.06
0
1.04
1
1.01
9
0.99
5
0.9
67
0.93
8
0.90
7
0.8
73
0.83
8
0.79
*-- -- -- -- -- ~~
300
1.11
5
1.10
5
1.09
4
1.08
0
1.06
5
1.04
7
1.02
8
1.00
7
0.98
2
0.95
7
0.93
1
0.9
02
0.87
1
0.8
39
0.80
4
0.7
68
0.73
*-- -- ~~
400
1.11
9
1.11
3
1.10
3
1.09
1
1.07
7
1.06
0
1.04
1
1.02
0
0.9
96
0.97
1
0.94
4
0.91
4
0.88
2
0.8
48
0.81
2
0.7
73
0.74
*-- -- "
500
1.12
4
1.11
9
1.11
1
1.10
0
1.08
8
1.07
2
1.05
5
1.03
4
1.01
2
0.98
5
0.95
8
0.92
7
0.89
5
0.86
0
0.82
2
0.78
2
0.75
*-- -- "
600
1.12
7
1.12
2
1.11
4
1.10
4
1.09
1
1.07
6
1.05
9
1.04
0
1.01
8
0.99
3
0.96
7
0.93
8
0.90
7
0.87
4
0.83
8
0.80
0
0.76
0
0.71
8
0.67
*
Pre
ssure
700
1.1
30
1.12
5
1.11
7
1.10
7
1.09
5
1.08
0
1.06
4
1.04
5
1.02
4
1.00
1
0.9
75
0.94
8
0.9
19
0.88
7
0.8
53
0.81
7
0.7
79
0.7
39
0.69
*""
(bar
s)
800
1.13
4
1.12
9
1.12
3
1.11
4
1.10
3
1.08
9
1.07
3
1.05
5
1.03
5
1.01
2
0.9
86
0.95
9
0.9
30
0.89
8
0.86
4
0.82
8
0.78
9
0.74
9
0.70
5
0.66
*
900
1.13
7
1.13
2
1.12
5
1.11
6
1.10
5
1.09
1
1.07
6
1.05
9
1.03
9
1.01
7
0.99
2
0.96
9
0.9
40
0.9
09
0.8
75
0.8
39
0.8
00
0.7
59
0.71
6
0.68
*
1000
1.14
1
1.13
5
1.12
8
1.11
8
1.10
7
1.09
4
1.07
9
1.06
2
1.04
3
1.02
2
0.99
8
0.97
4
0.9
48
0.92
1
0.89
2
0.86
1
0.82
9
0.79
4
0.76
2
0.72
*
1250
1.15
0
1.14
3
1.13
4
1.12
4
1.11
3
1.10
0
1.08
6
1.07
0
1.05
3
1.03
4
1.01
4
0.99
1
0.96
8
0.9
43
0.91
7
0.88
9
0.86
0
0.82
4
0.79
5
0.7
68
1500
1.15
6
1.15
0
1.14
2
1.13
3
1.12
3
1.11
1
1.09
8
1.08
3
1.06
7
1.05
0
1.03
2
1.01
2
0.99
0
0.96
7
0.94
3
0.91
8
0.89
2
0.86
5
0.83
5
0.80
8
1750
1.16
4
1.15
8
1.15
0
1.14
1
1.13
1
1.12
0
1.10
7
1.09
3
1.07
9
1.06
3
1.04
6
1.02
7
1.00
8
0.9
86
0.96
4
0.94
1
0.91
7
0.89
2
0.86
5
0.84
2
2000
1.17
1
1.16
5
1.15
8
1.14
9
1.14
0
1.12
9
1.11
7
1.10
5
1.09
1
1.07
6
1.06
0
1.04
2
1.02
4
1.00
5
0.9
83
0.96
1
0.9
39
0.9
15
0.8
90
0.86
7
o f
d a o ^ § d CO O CO § o g
*E
xtr
apola
ted
val
ues
O CO O
to CO
TAB
LE 2
3.
Den
siti
es o
f 17
wei
ght
perc
ent
NaC
l so
luti
ons,
g/c
m3
[The
uncert
ain
ties
in th
e d
en
siti
es
are:
3-p
lace
fi
gure
s ±
0.00
5 an
d ±0
..05
for
2-p
lace
fi
gu
res.
]
O CO o
Tem
p °C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.12
6
1.11
3
1.10
0
1.08
4
1.06
7
1.04
7
1.02
6
1.00
2
0.97
7
0.95
0
0.92
1
0.8
86
0.85
*-- -- -- -- ~~
200
1.12
8
1.11
8
1.10
5
1.09
1
1.07
4
1.05
5
1.03
4
1.01
1
0.9
85
0.9
56
0.9
26
0.89
4
0.8
60
0.82
*
0.78
*-- - ~~
300
1.13
1
1.12
0
1.10
8
1.09
4
1.07
9
1.06
1
1.04
3
1.02
2
0.99
9
0.9
75
0.94
9
0.92
2
0.89
2
0.86
1
0.82
1
0.79
*-- -- -- ~~
400
1.13
4
1.12
8
1.11
7
1.10
5
1.09
1
1.07
4
1.05
6
1.03
5
1.01
3
0.98
8
0.96
2
0.93
3
0.90
3
0.87
0
0.83
4
0.79
6
0.76
*-- ~~
500
1.13
9
1.13
3
1.12
5
1.11
4
1.1
07
1.08
6
1.06
9
1.04
9
1.02
7
1.00
2
0.9
76
0.94
6
0.91
5
0.88
2
0.84
4
0.80
5
0.77
*- ~~
600
1.14
2
1.13
6
1.12
8
1.11
8
1.10
5
1.09
0
1.07
3
1.05
5
1.03
3
1.01
0
0.98
4
0.95
6
0.92
7
0.89
5
0.8
60
0.82
3
0.79
1
0.73
9
0.7
08
0.67
*
Pre
ssure
700
1.14
5
1.13
9
1.13
1
1.12
1
1.10
9
1.09
4
1.07
8
1.05
9
1.03
9
1.01
7
0.99
2
0.9
66
0.9
38
0.9
08
0.87
4
0.8
40
0.81
1
0.7
59
0.7
34
0.69
*
(bar
s)
800
1.14
9
1.14
3
1.13
7
1.12
8
1.11
7
1.10
3
1.08
7
1.06
9
1.05
0
1.02
8
1.00
3
0.97
7
0.94
9
0.9
18
0.88
5
0.85
1
0.82
1
0.7
70
0.74
6
0.72
*
900
1.15
2
1.14
6
1.13
9
1.13
0
1.11
9
1.10
5
1.09
0
1.07
3
1.05
4
1.03
2
1.00
9
0.9
86
0.9
58
0.9
28
0.89
6
0.86
2
0.83
2
0.7
80
0.75
7
0.74
*
1000
1.15
5
1.14
9
1.14
2
1.13
2
1.12
1
1.10
8
1.09
3
1.07
6
1.05
8
1.03
7
1.01
5
0.99
1
0.96
6
0.94
0
0.91
2
0.88
2
0.85
2
0.81
5
0.78
7
0.75
*
1250
1.16
5
1.15
7
1.14
8
1.13
8
1.12
7
1.11
4
1.10
0
1.08
5
1.06
8
1.04
9
1.03
0
1.00
8
0.98
6
0.96
1
0.93
6
0.90
9
0.88
2
0.84
5
0.81
7
0.78
9
1500
1.17
1
1.16
4
1.15
5
1.14
7
1.13
7
1.12
5
1.11
2
1.09
7
1.08
2
1.06
5
1.04
8
1.02
8
1.00
8
0.98
5
0.96
2
0.93
7
0.91
2
0.88
5
0.85
7
0.82
9
1750
1.17
8
1.17
2
1.16
4
1.15
5
1.14
5
1.13
4
1.12
1
1.10
7
1.09
3
1.07
8
1.06
1
1.04
3
1.02
4
1.00
4
0.98
2
0.96
0
0.93
7
0.91
3
0.88
7
0.86
3
2000
1.18
5
1.17
9
1.17
1
1.16
3
1.15
3
1.14
3
1.13
1
1.11
9
1.10
5
1.09
1
1.07
5
1.05
7
1.04
0
1.02
2
1.00
1
0.97
9
0.95
8
0.93
5
0.91
1
0.88
8
» CO
H M f
W
CO CD
O CO.
O
f d H CO
'Extr
apola
ted v
alues
TAB
LE 2
4.
Den
siti
es o
f 19
wei
ght
perc
ent
NaC
l so
luti
ons,
g/c
m3
[The un
cert
aint
ies
in the
densities
are:
3-place
figures
±0.005 and
±0.05
for
2-pl
ace
figures.]
Tem
p °C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.1
41
1.1
28
1.1
14
1.0
98
1.0
81
1.0
62
1.0
41
1.0
19
0.9
95
0.9
69
0.9
41
0.9
08
0.8
7*
-- - -- -- --
200
1.1
44
1.1
33
1.1
21
1.1
06
1.0
89
1.0
71
1.0
50
1.0
27
1.0
02
0.9
75
0.9
46
0.9
15
0.8
84
0.8
70
0.8
37
0.8
03
0.7
7*
-- -- --
300
1.1
46
1.1
35
1.1
23
1.1
09
1.0
94
1.0
76
1.0
58
1.0
38
1.0
15
0.9
92
0.9
67
0.9
41
0.9
12
0.8
80
0.8
48
0.8
14
0.7
8*
-- --
400
1.1
50
1.1
42
1.1
32
1.1
20
1.1
05
1.0
89
1.0
71
1.0
51
1.0
29
1.0
05
0.9
80
0.9
52
0.9
23
0.8
92
0.8
58
0.8
23
0.7
86
0.7
5*
-- --
500
1.1
54
1.1
48
1.1
39
1.1
28
1.1
15
1.1
00
1.0
83
1.0
63
1.0
42
1.0
18
0.9
12
0.9
64
0.9
35
0.9
03
0.8
70
0.8
35
0.7
96
0.7
6*
-- --
600
1.1
58
1.1
51
1.1
42
1.1
32
1.1
19
1.1
04
1.0
88
1.0
69
1.0
48
1.0
26
1.0
01
0.9
74
0.9
46
0.9
15
0.8
82
0.8
48
0.8
12
0.7
7*
-- --
Pre
ssure
700
1.1
61
1.1
54
1.1
45
1.1
35
1.1
23
1.1
08
1.0
92
1.0
74
1.0
54
1.0
33
1.0
09
0.9
84
0.9
57
0.9
27
0.8
93
0.8
59
0.8
23
0.7
85
0.7
45
0.7
0*
(bars
)
800
1.1
64
1.1
58
1.1
51
1.1
42
1.1
31
1.1
17
1.10
1
1.0
84
1.0
65
1.0
43
1.0
20
0.9
94
0.9
67
0.9
37
0.9
06
0.8
71
0.8
38
0.8
03
0.7
65
0.7
25
900
1.1
67
1.1
61
1.1
53
1.1
44
1.1
33
1.1
19
1.1
04
1.0
87
1.0
69
1.0
48
1.0
25
1.0
03
0.9
76
0.9
47
0.9
16
0.8
87
0.8
55
0.8
21
0.7
86
0.7
48
1000
1.1
70
1.1
64
1.1
56
1.1
46
1.1
35
1.1
22
1.1
08
1.0
91
1.0
73
1.0
53
1.0
31
1.0
09
0.9
84
0.9
59
0.9
31
0.8
99
0.8
69
0.8
36
0.8
02
0.7
66
1250
1.1
80
1.1
72
1.1
63
1.1
53
1.1
41
1.1
29
1.1
15
1.1
00
1.0
83
1.0
65
1.0
46
1.0
25
1.0
04
0.9
79
0.9
55
0.9
29
0.9
02
0.8
72
0.8
42
0.8
10
1500
1.1
85
1.1
79
1.1
70
1.1
61
1.1
51
1.1
39
1.1
27
1.1
12
1.0
97
1.0
81
1.0
63
1.0
44
1.0
24
1.0
03
0.9
80
0.9
56
0.9
32
0.9
04
0.8
76
0.8
42
1750
1.1
93
1.1
86
1.1
78
1.1
69
1.1
59
1.1
48
1.1
35
1.1
22
1.1
08
1.0
93
1.0
77
1.0
59
1.0
41
1.0
21
1.0
00
0.9
78
0.9
56
0.9
32
0.9
08
0.8
80
2000
1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 0. 0. 0. 0, 0,
199
.193 18
6
177
168
,157
.145
,133
,120
,105
.090
.073
.056
.038
.018
.997
.977
.954
.931
.909
'OLUMETRL
o 3 o M M s 03 ^ O 2 S o W r S H w ^ £ o
Extr
apol
ated
va
lues
__ O CO
TAB
LE 2
5.
Den
siti
es o
f 21
wei
ght
perc
ent
NaC
l so
luti
ons,
g/c
m3
[The
un
cert
ain
ties
in th
e d
en
siti
es
are:
3-p
lace
fi
gure
s ±
0,00
5 an
d ±
0.05
fo
r 2-p
lace
fi
gu
res.
]
O CO to
Tem
p "C
25 SO 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.15
7
1.14
3
1.12
9
1.11
3
1.09
6
1.07
7
1.05
7
1.03
5
1.01
2
0.98
8
0.96
2
0.93
1
0.90
1 -- -- -- ~~
200
1.16
0
1.14
8
1.13
6
1.12
1
1.10
4
1.08
6
1.06
6
1.04
4
1.02
0
0.99
4
0.96
7
0.93
8
0.90
8
0.89
3
0.86
4
0.83
2
0.80
*-- -- ~~
300
1.16
2
1.15
1
1.13
9
1.12
4
1.10
9
1.09
2
1.07
3
1.05
4
1.03
2
1.00
9
0.98
5
0.96
0
0.93
2
0.90
2
0.8
73
0.84
3
0.81
* -- ~~
400
1.16
6
1.15
8
1.14
7
1.13
4
1.12
0
1.10
4
1.08
6
1.06
6
1.04
5
1.02
2
0.99
7
0.97
1
0.94
3
0.91
2
0.88
0
0.84
9
0.82
*-- -- ~~
500
1.17
0
1.16
3
1.15
4
1.14
2
1.12
9
1.11
4
1.09
7
1.07
8
1.05
7
1.03
4
1.00
9
0.98
2
0.95
4
0.9
23
0.89
2
0.8
58
0.83
*-- -- ~~
600
1.17
3
1.16
6
1.15
7
1.14
6
1.13
3
1.11
8
1.10
2
1.08
3
1.06
3
1.04
1
1.01
8
0.99
1
0.96
4
0.93
5
0.90
4
0.87
2
0.83
7
0.80
*-- ~~
Pre
ssure
700
1.17
6
1.16
9
1.1
60
1.14
9
1.13
7
1.12
2
1.10
7
1.08
8
1.06
9
1.04
8
1.02
5
1.00
1
0.9
75
0.9
47
0.91
4
0.8
85
0.8S
2
0.82
*-- *~
(bar
s)
800
1.17
9
1.17
3
1.16
6
1.15
6
1.14
4
1.13
0
1.11
5
1.09
8
1.07
9
1.05
8
1.03
6
1.01
9
0.98
S
0.95
6
0.92
6
0.89
9
0.8
63
0.83
*-- ~
~
900
1.18
2
1.17
6
1.16
8
1.15
8
1.14
7
1.13
3
1.11
8
1.10
2
1.08
3
1.06
3
1.04
1
1.02
5
0.99
3
0.96
6
0.93
6
0.91
0
0.87
2
0.84
9
0.81
9
0.78
*
1000
1.18
5
1.17
9
1.17
1
1.16
1
1.14
9
1.13
6
1.12
2
1.10
6
1.08
8
1.06
9
1.04
7
1.04
2
1.00
2
0.97
7
0.95
0
0.92
2
0.89
0
0.86
3
0.83
5
0.80
*
1250
1.19
5
1.18
7
1.17
7
1.16
7
1.15
6
1.14
4
1.13
0
1.11
5
1.09
9
1.08
1
1.06
2
1.06
0
1.02
1
0.99
7
0.97
4
0.94
8
0.92
2
0.89
8
0.86
8
0.83
7
1500
1.20
0
1.19
3
1.18
5
1.17
6
1.16
6
1.15
4
1.14
1
1.12
7
1.11
2
1.09
6
1.07
9
1.07
0
1.04
1
1.02
0
0.99
7
0.97
4
0.95
1
0.92
5
0.89
9
0.86
8
1750
1.20
7
1.20
1
1.19
2
1.18
3
1.17
3
1.16
2
1.15
0
1.13
6
1.12
3
1.10
8
1.09
2
1.07
9
1.05
7
1.03
7
1.01
7
0.99
6
0.97
4
0.95
1
0.92
7
0.90
3
2000
1.21
4
1.20
7
1.20
0
1.19
1
1.18
2
1.17
1
1.16
0
1.14
8
1.13
5
1.12
1
1.10
5
1.08
9
1.07
2
1.05
5
1.03
6
1.01
5
0.99
5
0.97
3
0.95
1
0.92
8
M
CO to g CO O
t-1 o CO
Extr
apola
ted val
ues
TABL
E 26.
Den
siti
es o
f 23
wei
ght p
erce
nt N
aCl
solu
tion
s, g
/cm
3
[The
un
cert
ain
ties
in th
e d
en
siti
es
are:
3-p
lace
fi
gu
res
±0.
005
and
±0.
05 fo
r 2-p
lace
fi
gure
s.]
o
Temp
°C
25
1
50
1
75
1
100
1
125
1
150
1
175
1
200
1
225
1
250
1
275
0
300
0
325
0
350
0
375
400
425
450
475
500
'Extrapolated
100
.172
.159
.145
.128
.111
.093
.073
.052
.030
.007
.983
.955
.927
.90*
-- -- -- -- -- values
200
1.176
1.164
1.151
1.13
6
1.119
1.102
1.08
2
1.06
1
1.03
9
1.015
0.989
0.96
1
0.933
0.915
0.886
0.855
0.825
0.78*
--
300
1.179
1.167
1.154
1.140
1.124
1.107
1.089
1.069
1.048
1.027
1.003
0.978
0.952
0.924
0.895
0.86
5
0.83
6
0.79*
--
400
1.182
1.173
1.162
1.149
1.134
1.118
1.10
1
1.08
1
1.06
1
1.039
1.015
0.98
9
0.962
0.93
4
0.904
0.87
2
0.84
3
0.80*
--
500
1.186
1.17
8
1.168
1.156
1.142
1.127
1.110
1.09
1
1.07
1
1.049
1.025
0.99
9
0.97
3
0.94
4
0.914
0.882
0.84
9
0.81
3
0.77*
600
1.18
9
1.181
1.17
1
1.160
1.146
1.13
1
1.115
1.09
7
1.078
1.056
1.03
3
1.009
0.98
2
0.95
5
0.925
0.89
4
0.861
0.82
3
0.79*
Pres
sure
700
1.192
1.184
1.174
1.163
1.151
1.136
1.12
1
1.102
1.084
1.063
1.04
1
1.017
0.99
3
0.96
5
0.93
6
0.90
6
0.87
4
0.84
3
0.80*
(bars)
800
1.195
1.188
1.180
1.170
1.158
1.144
1.129
1.112
1.093
1.073
1.05
1
1.027
1.002
0.97
5
0.946
0.917
0.88
5
0.855
0.82
0
0.78*
900
1.198
1.19
1
1.18
2
1.172
1.16
1
1.147
1.132
1.116
1.098
1.078
1.057
1.035
1.01
1
0.98
4
0.95
6
0.92
8
0.89
8
0.868
0.83
7
0.80*
1000
1.20
1
1.194
1.185
1.175
1.164
1.150
1.136
1.120
1.103
1.084
1.063
1.04
1
1.018
0.99
4
0.96
8
0.941
0.91
2
0.88
2
0.85
3
0.81
7
1250
1.21
1
1.202
1.192
1.182
1.17
1
1.159
1.145
1.130
1.11
4
1.097
1.078
1.059
1.038
1.015
0.992
0.967
0.942
0.915
0.888
0.85
6
1500
1.215
1.208
1.200
1.19
1
1.18
0
1.169
1.156
1.142
1.127
1.11
1
1.094
1.076
1.057
1.037
1.015
0.992
0.96
9
0.944
0.918
0.88
9
1750
1.222
1.216
1.207
1.198
1.188
1.177
1.165
1.151
1.138
1.123
1.107
1.090
1.073
1.054
1.034
1.014
0.99
2
0.97
0
0.94
7
0.92
2
2000
1.228
1.222
1.21
4
1.206
1.196
1.186
1.17
5
1.163
1.150
1.136
1.120
1.105
1.088
1.07
1
1.05
2
1.033
1.013
0.99
1
0.970
0.94
7
r^
H 3d 0 w H S 0 **} CO o O i i £ O ffi t-1 0 G M CO ^ C O z CO 0 CO
CO
TAB
LE 2
7.
Den
siti
es o
f 25
wei
ght p
erce
nt N
aCl
solu
tion
s, g
/cm
3 O CO ^
[The
uncert
ain
ties
in
the d
en
sit
ies
are
: 3
-pla
ce fi
gure
s ±
0.0
05
an
d ±
0.0
5 fo
r 2-p
lace fi
gu
res.
]
Tem
p °C
25 50 75 100
125
150
175
200
225
250
275
300
325
350
375
400
425
450
475
500
100
1.1
88
1.1
75
1.1
60
1.1
43
1.1
27
1.1
09
1.0
90
1.0
70
1.0
49
1.0
27
1.0
04
0.9
79
0.9
52
0.9
26
0.9
0*
0.8
7*
-- -- -- ..
200
1.1
92
1.1
79
1.1
67
1.1
52
1.1
35
1.1
17
1.0
99
1.0
78
1.0
58
1.0
35
1.0
11
0.9
86
0.9
60
0.9
37
0.9
08
0.8
77
0.8
4*
-- -- .-
300
1.1
95
1.1
83
1.1
70
1.1
55
1.1
40
1.1
22
1.1
04
1.0
85
1.0
65
1.0
44
1.0
21
0.9
97
0.9
71
0.9
45
0.9
17
0.8
86
0.8
55
0.8
1*
-- ..
400
1.1
99
1.1
88
1.1
77
1.1
64
1.1
49
1.1
33
1.1
16
1.0
97
1.0
75
1.0
55
1.0
32
1.0
07
0.9
81
0.9
54
0.9
24
0.8
93
0.8
61
0.8
2*
-- ..
500
1.2
02
1.1
93
1.1
82
1.1
69
1.1
55
1.1
40
1.1
23
1.1
05
1.0
85
1.0
64
1.0
41
1.0
17
0.9
91
0.9
64
0.9
34
0.9
03
0.8
71
0.8
3*
-- __
600
1.2
05
1.1
96
1.1
85
1.1
73
1.1
60
1.1
45
1.1
29
1.1
11
1.0
91
1.0
71
1.0
49
1.0
25
1.0
01
0.9
74
0.9
45
0.9
15
0.8
83
0.8
48
0.8
1*
..
Pre
ssu
re
700
1.2
07
1.2
00
1.1
89
1.1
77
1.1
64
1.1
50
1.1
34
1.1
16
1.0
98
1.0
78
1.0
57
1.0
33
1.0
10
0.9
83
0.9
55
0.9
25
0.8
94
0.8
61
0.8
2*
_.
(bars
)
800
1.2
11
1.2
04
1.1
94
1.1
83
1.1
71
1.1
57
1.1
42
1.1
25
1.1
07
1.0
87
1.0
66
1.0
43
1.0
19
0.9
93
0.9
65
0.9
36
0.9
05
0.8
74
0.8
36
0.8
12
900
1.2
13
1.2
07
1.1
97
1.1
86
1.1
74
1.1
61
1.1
46
1.1
29
1.1
11
1.0
92
1.0
72
1.0
50
1.0
27
1.0
02
0.9
75
0.9
47
0.9
18
0.8
87
0.8
57
0.8
27
1000
1.2
17
1.2
10
1.2
00
1.1
90
1.1
78
1.1
64
1.1
50
1.1
34
1.1
17
1.0
99
1.0
79
1.0
57
1.0
35
1.0
12
0.9
86
0.9
60
0.9
32
0.9
02
0.8
71
0.8
42
1250
1.2
26
1.2
17
1.2
08
1.1
98
1.1
86
1.1
74
1.1
60
1.1
46
1.1
30
1.1
12
1.0
94
1.0
75
1.0
55
1.0
33
1.0
10
0.9
86
0.9
61
0.9
34
0.9
05
0.8
80
1500
1.2
31
1.2
24
1.2
15
1.2
06
1.1
95
1.1
84
1.1
71
1.1
57
1.1
42
1.1
27
1.1
10
1.0
92
1.0
73
1.0
53
1.0
32
1.0
10
0.9
86
0.9
63
0.9
37
0.9
10
1750
1.2
37
1.2
31
1.2
22
1.2
13
1.2
03
1.1
92
1.1
80
1.1
67
1.1
54
1.1
39
1.1
23
1.1
06
1.0
89
1.0
70
1.0
51
1.0
31
1.0
10
0.9
88
0.9
65
0.9
40
2000
1.2
43
1.2
37
1.2
29
1.2
21
1.2
11
1.2
01
1.1
90
1.1
78
1.1
65
1.1
51
1.1
36
1.1
20
1.1
04
1.0
87
1.0
69
1.0
50
1.0
31
1.0
10
0.9
88
0.9
65
r § ^ 3 CG 3 > s H Cd r H
CO ITJ 0 <2 v> 0 CO O r § o CO
*E
xtr
apola
ted v
alu
es
TAB
LE 2
8. In
terp
olat
ion
coef
fici
ents
for
NaC
l so
luti
ons
= ______ 1000do+ M2mdp _________
r10
00 + Agmdg
+ Bom3/2a
0 + CQm2do
where dg
= density of water at temperature
in g/
citr
S
and
M2 = molecular weight of NaCl.]
^ gT
emp
(°C
) A
0 B
0 C
0 d
0 g *j o | o
025 50 75
12.43
16.62
18.00
18.18
3.07
1.773
1.66
1.19
-.02
.098
.002
.12
.999839.
.997047
.988038
.974844
O
Z CO O CO en
C36 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS
S c
SoSi
8
1
O03fc
H co co -HI
i o r- ^ (N r-
O rH *T O O O O O CO -HCOP- .H O I"- i-H O P- <H '
U CQU 03U OQU CQU CQU CQU 03U CQU CQU CQUX XX XX XX X
'"0*0 <Jb oX XX XX X
o o ^^o o
CQU CQU CO XX XC t
Preliminary Steam Tables for NaCl Solutions
GEOLOGICAL SURVEY BULLETIN 1421
This volume was published as separate chapters A-C
UNITED STATES DEPARTMENT OF THE INTERIOR
GEOLOGICAL SURVEY
V. E. McKelvey, Director
For sale by the Superintendent of Documents, U. S. Government Printing Office Washington, D. C. 20402
CONTENTS
[Letters designate the chapters]
(A) Physical properties of the coexisting phases and thermochemical properties of the HzO component in boiling NaCl solutions, by J. L. Hass, Jr.
(B) Thermodynamic properties of the coexisting phases and thermochemical proper ties of the NaCl component in boiling NaCl solutions, by J. L. Hass, Jr.
(C) The volumetric properties of aqueous sodium chloride solutions from 0° to 500°C at pressures up to 2000 bars based on a regression of available data in the literature, by Robert W. Potter II and David L. Brown.
\ S-U.S. GOVERNMENT PRINTING OFFICE: 1977 - 789-025/37
