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-C

Bibliography: 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 C8

2. Densities of vapor-saturated NaCl solutions, g/cm3 ______ ____ 9

3. Densities of 0.5 molal NaCl solutions, g/cm3 __ 10

4. Densities of 1 molal NaCl solutions, g/cm3 ________________ 11

5. Densities of 1.5 molal NaCl solutions, g/cm3 ______________ 12

6. Densities of 2 molal NaCl solutions, g/cm3 _____________ __ 13

7. Densities of 2.5 molal NaCl solutions, g/cm3 ________________ 14

8. Densities of 3 molal NaCl solutions, g/cm3 ________________ 15

9. Densities of 3.5 molal NaCl solutions, g/cm3 ______________ 16

10. Densities of 4 molal NaCl solutions, g/cm3 ________________ 17

11. Densities of 4.5 molal NaCl solutions, g/cm3 __ 18

12. Densities of 5 molal NaCl solutions, g/cm3 __ ____________ 19

13. Densities of 5.5 molal NaCl solutions, g/cm3 _______________ 20

14. Densities of 5 molal NaCl solutions, g/cm3 __________________ 21

15. Densities of 1 weight percent NaCl solutions, g/cm3 __________ 22

16. Densities of 3 weight percent NaCl solutions, g/cm3 __ 23

17. Densities of 5 weight percent NaCl solutions, g/cm3 __________ 24

18. Densities of 7 weight percent NaCl solutions, g/cm3 __________ 25

19. Densities of 9 weight percent NaCl solutions, g/cm3 ________ 26

20. Densities of 11 weight percent NaCl solutions, g/cm3 ______ __ 27

21. Densities of 13 weight percent NaCl solutions, g/cm3 ______ 28

22. Densities of 15 weight percent NaCl solutions, g/cm3 __ 29

23. Densities of 17 weight percent NaCl solutions, g/cm3 _________ 30

24. Densities of 19 weight percent NaCl solutions, g/cm3 ________ 31

25. Densities of 21 weight percent NaCl solutions, g/cm3 __________ 32

26. Densities of 23 weight percent NaCl solutions, g/cm3 ________ 33

27. Densities of 25 weight percent NaCl solutions, g/cm3 __________ 34

28. Interpolation coefficients for NaCl solutions 35

29. NaCl interpolation formula coefficients _________________ 36

III

PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS.

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 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 volumetric 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 compilation of the available data from the literature and a critical evaluation 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 references, 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 measurements 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 aqueous sodium chloride solutions.

Prior to the present evaluation, the only fairly extensive tabulations 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 solutions 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 (tables 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 experimental 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 common 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 criterion, 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 common system of units before they could be evaluated. The system of 

units used was bars,°C, g/cm3 , and molality for the pressure, temperature, 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 common 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 depend on the set of volumetric data for pure water that the investigator chose to employ. Wherever possible, the volumetric data for 

aqueous sodium chloride solutions used in the regression were corrected 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 uncertainty. 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 composition at constant temperature and pressure, the following equations 

were found to be the simplest equations that could most precisely 

describe the experimental data:

, 20

d ~ innn^/i TTB o/2 7 . n TT (T, P constant) (1) 1000+A0 raa0 +B0m3/2d0 +C0m2a0

and

d=Ai+fiim1/2+C1m (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 consideration; ra is the molality; M2 is the molecular weight of sodium 

chloride; andA0 , A1 ,B0 ,B1> C,0 , andCj are empirical constants. Equation (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 experimental 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 composition, 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 values 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 regression 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 uncertainty 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; however, in general, these data are not consistent with the lower temperature, 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 , respectively. 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 experimental 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 available compilations. The data as presented in tables 1-27 appear to be 

of significant precision for engineering purposes; however the precision is such that only preliminary thermochemical data can be extracted from the data set (Potter, 1976).

REFERENCES CITED

Fabuss, B. M., and Korosi, Alexander, 1968, Properties of seawater and solutions containing sodium chloride, potassium chloride, sodium sulfate, and magnesium sulfate: 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 properties 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 thermochemical

properties of the NaCl component in boiling NaCl solutions: U.S. Geol. Survey

Bull. 1421-B 71 p.

Keenan, J. H., Keyes, F. G., Hill, P. G., and Moore, J. G., 1969, Steam tables: Thermodynamic properties of water including vapor, liquid and solid phases: New

York, John Wiley and Sons, 162 p. 

Kell, G. S., and Whalley, E., 1965, The PVT properties of water. I. Liquid water in the

temperature range 0° to 150°C and at pressures up to 1Kb: Royal Soc. London

Philos. Trans., v. 258, p. 565-617. 

Meyer, S. L., 1975, Data analysis for scientists and engineers: New York, John Wiley

and 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: National

Bureau Standards Spec. Pub. 330, 42 p. 

Potter, R. W., II, 1976, An assessment of the status of the available data on the P-V-T

properties for the major components in geothermal brines: U.N. Symposium on the

Development 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 of

studies on the density and other volumetric properties for major components in

geothermal waters 1928-74: U.S. Geol. Survey Bull. 1417, 78 p.
TABLES 1-29
C8 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

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VOLUMETRIC PROPERTIES OF SODIUM CHLORIDE SOLUTIONS C9

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TABLE 3. Densities of 0.5 molal NaCl solutions, 

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0.

Temp °C

25

SO

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.018

1.012

1.002

0.989

0.971

0.950

0.925

0.897

0.865

0.829

0.789

0.746

--

--

--

--

--

--

--

~~

200

1.022

1.015

1.005

0.991

0.975

0.955

0.931

0.905

0.875

0.842

0.806

0.767

0.724

0.68*

0.63*

--

--

~~

300

1.027

1.020

1.009

0.996

0.980

0.960

0.938

0.913

0.884

0.853

0.818

0.780

0.740

0.70*

0.65*

--

--

--

-

"

400

1.031

1.026

1.017

1.005

0.990

0.971

0.950

0.925

0.897

0.866

0.831

0.793

0.752

0.71*

0.66*

--

"

500

1.035

1.030

1.021

1.010

0.995

0.977

0.956

0.933

0.906

0.876

0.843

0.806

0.767

0.725

0.68*

0.63*

--

--

--

 ~

600

1.039

1.034

1.026

1.015

1.000

0.983

0.963

0.940

0.914

0.885

0.854

0.819

0.781

0.741

0.70*

0.65*

--

--

--

~~

Pressure 

700

1.043

1.039

1.032

1.021

1.008

0.992

0.972

0.950

0.924

0.896

0.864

0.830

0.792

0.752

0.71*

0.66*

--

--

--

~~

(bars) 

800

1.048

1.042

1.034

1.024

1.011

0.995

0.976

0.955

0.931

0.904

0.875

0.843

0.808

0.771

0.731

0.69*

0.64*

--

--

~~

900

1.051

1.046

1.038

1.028

1.015

1.000

0.982

0.961

0.938

0.913

0.885

0.854

0.821

0.785

0.747

0.71*

0.66*

--

--

"

'Extrapolated values
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

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TABLE 5. Densities of 1.5 molal NaCl solutions

[The uncertainties in the .densities are: 3-place figures ±0.005 and ±

Temp °C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.058

1.049

1.038

1.024

1.007

0.987

0.964

0.938

0.910

0.878

0.844

0.807

0.77

--

--

-

~~

200

1.062

1.053

1.042

1.028

1.011

0.992

0.971

0.946

0.919

0.890

0.857

0.822

0.785

0.745

0.70*

0.66*

--

--

~~

300

1.065

1.057

1.046

1.032

1.017

0.998

0.977

0.954

0.928

0.899

0.868

0.835

0.799

0.760

0.72*

0.68*

--

--

--

 

400

1.071

1.064

1.0S4

1.042

1.027

1.010

0.989

0.967

0.941

0.913

0.882

0.848

0.812

0.773

0.731

0.69*

0.64*

-

-

~~

500

1.074

1.068

1.059

1.047

1.033

1.016

0.996

0.974

0.950

0.922

0.893

0.860

0.826

0.788

0.748

0.71*

0.66*

--

--

~~

600

1.078

1.072

1.063

1.052

1.038

1.022

1.003

0.982

0.9S8

0.932

0.903

0.872

0.838

0.802

0.764

0.72*

0.68*

--

--

 ~

Pressure 

700

1.082

1.076

1.067

1.056

1.043

1.027

1.009

0.988

0.966

0.941

0.913

0.883

0.851

0.817

0.780

0.741

0.70*

0.66*

--

~~

(bars) 

800

1.085

1.079

1.071

1.060

1.047

1.032

1.014

0.995

0.973

0.949

0.922

0.894

0.863

0.830

0.794

0.757

0.72*

0.68*

-

"

900

1.089

1.083

1.074

1.064

1.051

1.036

1.019

1.000

0.979

0.956

0.931

0.903

0.874

0.842

0.809

0.773

0.735

0.70*

0.65*

- 

Extrapolated values
TABLE 6. Densities of 2 molal NaCl solutions, g

[The uncertainties in the densities are:. 3-place figures ±0.005 and ±0.0

Temp °C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.075

1.065

1.053

1.038

1.020

1.000

0.976

0.950

0.921

0.889

0.854

0.82*

--

--

--

--

-

--

--

~~

200

1.079

1.071

1.059

1.045

1.028

1.007

0.984

0.958

0.929

0.897

0.862

0.83*

--

--

--

--

300

1.081

1.072

1.061

1.048

1.032

1.014

0.994

0.972

0.947

0.920

0.891

0.859

0.825

0.790

0.71*

--

--

400

1.088

1.081

1.071

1.059

1.044

1.027

1.007

0.985

0.961

0.934

0.905

0.873

0.839

0.802

0.763

0.72*

0.68*

--

--

--

500

1.091

1.086

1.078

1.067

1.054

1.038

1.019

0.998

0.974

0.947

0.917

0.885

0.850

0.812

0.772

0.728

0.683

0.634

0.58*

0.53*

600

1.095

1.089

1.081

1.071

1.058

1.042

1.024

1.004

0.981

0.955

0.927

0.897

0.863

0.828

0.790

0.749

0.706

0.660

0.61*

0.56*

Pressure 

700

1.098

1.902

1.085

1.075

1.063

1.048

1.032

1.013

0.992

0.968

0.943

0.915

0.885

0.853

0.818

0.782

0.743

0.701

0.658

0.61*

(bars) 

800

1.102

1.096

1.088

1.077

1.065

1.050

1.034

1.015

0.994

0.970

0.945

0.917

0.888

0.856

0.822

0.786

0.747

0.707

0.664

0.62*

900

1.106

1.099

1.091

1.080

1.068

1.053

1.037

1.019

0.999

0.976

0.952

0.926

0.898

0.868

0.836

0.802

0.766

0.728

0.688

-0.646

Extrapolated values
TABLE 7. Densities of 2.5 molal NaCl solutions

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0.0

Temp °C

25

SO

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.092

1.084

1.072

1.057

1.040

1.019

0.995

0.968

0.938

0.906

0.87

0.84

--

--

--

--

200

1.096

1.087

1.075

1.061

1.044

1.024

1.001

0.976

0.948

0.918

0.884

0.848

0.81

0.77

-

-

--

--

300

1.099

1.090

1.078

1.064

1.048

1.031

1.011

0.989

0.965

0.939

0.911

0.881

0.849

0.814

0.78

0.74*

--

"

400

1.104

1.097

1.087

1.075

1.060

1.043

1.024

l.OOS

0.979

0.953

0.925

0.894

0.862

0.826

0.789

0.75*

0.71*

--

- 

500

1.108

1.101

1.091

1.079

1.066

1.049

1.031

1.010

0.988

0.963

0.935

0.906

0.874

0.840

0.804

0.765

0.73*

0.68*

--

--

600

1.111

1.104

1.095

1.084

1.071

1.055

1.037

1.017

0.995

0.971

0.945

0.916

0.886

0.853

0.818

0.781

0.74*

0.70*

--

--

Pressure 

700

1.114

1.109

1.101

1.091

1.078

1.064

1.048

1.029

1.008

0.985

0.960

0.933

0.903

0.872

0.838

0.802

0.764

0.72*

0.68*

"

(bars) 

800

1.118

1.112

1.103

1.093

1.080

1.066

1.049

1.031

1.010

0.988

0.963

0.937

0.908

0.878

0.846

0.811

0.775

0.74*

0.70*

--

900

1.122

1.115

1.107

1.096

1.084

1.070

1.054

1.036

1.016

0.994

0.971

0.946

0.918

0.889

0.858

0.826

0.791

0.75*

0.72*

--

Extrapolated values
TABLE 8. Densities of 3 molal NaCl solutions, 

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0

Temp °C

25 1

50 1

75 1

100 1

125 1

150 1

175 1

200 0

225 0

100

.108

.098

.086

.071

.054

.034

.012

.987

.960

250 0.930

275 0

300 0

325

350

375

400

425

450

475

500

'Extrapolated

.898

.864

--

--

--

__

--

--

--

values

200

1.112

1.102

1.091

1.076

1.059

1.040

1.018

0.994

0.967

0.938

0.906

0.872

0.837

--

"

--

_.

--

--

--

300

1.115

1.105

1.093

1.079

1.064

1.046

1.027

1.006

0.982

0.957

0.931

0.902

0.871

0.839

0.804

0.768

0.73*

0.69

--

--

400

1.120

1.112

1.102

1.090

1.076

1.059

1.040

1.019

0.996

0.971

0.944

0.914

0.882

0.848

0.812

0.773

0.74*

0.70

--

--

500

1.123

1.118

1.110

1.099

1.087

1.071

1.054

1.033

1.011

0.985

0.958

0.927

0.895

0.860

0.822

0.782

0.74*

0.70

--

--

600

1.126

1.121

1.113

1.103

1.090

1.075

1.058

1.039

1.017

0.993

0.967

0.938

0.907

0.874

0.838

0.800

0.760

0.718

0.673

0.63*

Pressure 

700

1.130

1.124

1.116

1.106

1.094

1.079

1.063

1.044

1.023

1.000

0.975

0.948

. 0.919

0.887

0.853

0.817

0.779

0.739

0.697

0.65*

(bars) 

800

1.133

1.128

1.122

1.113

1.102

1.088

1.072

1.054

1.034

1.011

0.986

0.959

0.930

0.898

0.864

0.828

0.789

0.749

0.705

0.66*

900

1.136

1.131

1.124

1.115

1.104

1.090

1.075

1.057

1.038

1.016

0.992

0.969

0.940

0.909

0.875

0.839

0.800

0.759

0.716

0.670
TABLE 9. Densities of 3.5 molal NaCl solution

[The uncertainties in the densities are: 3-place figures ±0.005 and ±

Temp °C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.126

1.113

1.100

1.083

1.066

1.047

1.026

1.002

0.977

0.950

0.921

0.886

0.85*

--

--

.--

--

--

--

..

200

1.028

1.117

1.106

1.091

1.074

1.055

1.034

1.011

0.984

0.9S6

0.926

0.893

0.860

0.82*

0.78*

--

--

--

--

-.

300

1.130

1.120

1.108

1.094

1.079

1.061

1.043

1.022

0.998

0.974

0.949

0.921

0.892

0.861

0.821

0.79*

--

400

1.134

1.127

1.117

1.105

1.091

1.074

1.055

1.035

1.012

0.988

0.962

0.933

0.903

0.870

0.834

0.796

0.76*

--

--

--

500

1.139

1.133

1.125

1.114

1.102

1.086

1.068

1.049

1.027

1.002

0.975

0.946

0.915

0.882

0.844

0.805

0.77*

--

--

--

600

1.142

1.136

1.128

1.118

1.105

1.090

1.073

1.054

1.033

1.010

0.984

0.956

0.927

0.895

0.860

0.823

0.791

0.739

0.708

0.67*

Pressure 

700

1.045

1.139

1.131

1.121

1.108

1.094

1.078

1.059

1.039

1.017

0.992

0.966

0.938

0.907

0.874

0.840

0.811

0.759

0.734

0.69*

(bars) 

800

1.149

1.143

1.137

1.128

1.117

1.103

1.087

1.069

1.050

1.028

1.003

0.977

0.949

0.918

0.885

0.851

0.821

0.770

0.746

0.72*

90

1.15

1.14

1.13

1.13

1.1

1.10

1.09

1.07

1.05

1.03

1.00

0.98

0.95

0.92

0.89

0.86

0.83

0.78

0.75

0.74

'Extrapolated values
VOLUMETRIC PROPERTIES OF SODIUM CHLORIDE SOLUTIONS C17

O 

rt

-.' rt ~< rt rt -< ~ -^ -^ -H' rH rt O O O O O O O O 

M 00

ooooooooo

3O i/ll/iTftO(NOcir-'l/lrOOGOl/lCNO>LOCNOO^> O

*H» tf ti-Hi (i lOOOCOldClO^OOOO
TABLE 11. Densities of 4.5 molal Nad solutio

[The uncertainties in the densities are: 3-place figures ±O.OQ5 and 

Temp °C

25

SO

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.155

1.142

1.128

1.113

1.096

1.078

1.058

1.037

1.014

0.990

0.965

0.938

0.904

--

--

--

--

--

--

~~

200

1.158

1.146

1.133

1.118

1.102

1.084

1.065

1.045

1.023

1.000

0.975

0.949

0.922

0.893

0.863

0.831

0.80*

0.76*

--

300

1.161

1.149

1.136

1.122

1.107

1.090

1.071

1.051

1.030

1.007

0.983

0.957

0.930

0.902

0.872

0.841

0.81*

0.77*

--

--

400

1.165

1.155

1.145

1.132

1.118

1.102

1.084

1.064

1.043

1.020

0.996

0.970

0.942

0.912

0.880

0.847

0.81*

0.78*

--

--

500

1.168

1.159

1.149

1.137

1.123

1 .'108

1.091

1.072

1.051

1.029

1.005

0.979

0.951

0.922

0.891

0.858

0.82*

0.79*

- 

600

1.171

1.163

1.153

1.142

1.129

1.114

1.097

1.079

1.059

1.037

1.013

0.988

0.961

0.933

0.902

0.870

0.836

0.80*

0.76*

--

Pressure 

700

1.174

1.167

1.157

1.146

1.133

1.119

1.103

1.085

1.066

1.045

1.022

0.997

0.971

0.943

0.914

0.883

0.850

0.82*

0.78*

--

(bars) 

800

1.177

1.170

1.161

1.151

1.138

1.125

1.109

1.092

1.073

1.052

1.030

1.007

0.981

0.954

0.925

0.895

0.863

0.83*

0.79*

--

900

1.18

1.17

1.16

1.15

1.14

1.12

1.11

1.09

1.07

1.05

1.03

1.01

0.98

0.96

0.93

0.90

0.87

0.84

0.81

0.77

'Extrapolated values
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
TABLE 13. Densities of 5.5 molal NaCl solution

[The uncertainties in the densities are: 3-place figuTes ±0.005 and ±

Temp °C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.183

1.171

1.157

1.142

1.125

1.107

1.088

1.068

1.046

1.024

0.999

0.974

0.947

0.919

0.89*

0.85*

--

^-

--

-~

200

1.186

1.174

1.161

1.146

1.130

1.113

1.094

1.074

1.053

1.030

1.007

0.982

0.955

0.928

0.899

0.868

0.84*

0.80*

--

--

300

1.189

1.177

1.164

1.150

1.135

1.118

1.100

1.080

1.059

1.037

1.014

0.989

0.963

0.936

0.908

0.878

0.846

0.81*

0.78*

400

1.193

1.183

1.172

1.159

1.145

1.129

1.112

1.093

1.072

1.050

1.027

1.001

0.975

0.946

0.916

0.885

0.852

0.82*

0.78*

--

500

1.196

1.187

1.176

1.164

1.150

1.135

1.118

1.100

1.080

1.058

1.035

1.010

0.984

0.956

0.926

0.895

0.863

0.83*

0.79*

--

600

1.199

1.191

1.180

1.169

1.156

1.141

1.124

1.107

1.087

1.066

1.043

1.019

0.993

0.966

0.937

0.907

0.875

0.84*

0.81*

--

Pressure 

700

1.202

1.194

1.184

1.173

1.160

1.146

1.130

1.112

1.094

1.073

1.051

1.028

1.002

0.976

0.948

0.918

0.887

0.854

0.82*

0.78*

(bars) 

800

1.205

1.197

1.188

1.177

1.165

1.151

1.135

1.119

1.100

1.080

1.059

1.036

1.012

0.986

0.959

0.930

0.899

0.868

0.83*

0.80*

900

1.209

1.201

1.192

1.181

1.169

1.156

1.141

1.124

1.106

1.087

1.066

1.044

1.021

0.995

0.969

0.941

0.912

0.881

0.85*

0.82*

Extrapolated values
VOLUMETRIC PROPERTIES OF SODIUM CHLORIDE SOLUTIONS C 21

O

CO

fc

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\ 00

rt r- to r~ o

to (N o co o ^r 1-1 m ^H in co o 

o o' o o o

o o o o o>

Csi^OO10O\OLOtO*H tn to ^H GO

rt rti-lrt lOOOOO

o o o o o

00 O O Ol tm 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 o

O 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 CO o' d o' o'

Ol 00 00

o o o

Ol 00 00

o o o

rt rH rt O O O

(N O 00 vO

rt O O

OOOOOO

TT ^H Ol *O to

O Ol Ol Ol Ol 

rH O O O O

00 00

o o o

rn m 01

O O O O Ol

inr--o<Ninr^orM

o o o o

oinoinoinomoino
TABLE 15. Densities of 1 weight percent NaCl soluti

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0.0

Temp °C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.003

1.000

0.991

0.978

0.960

0.939

0.914

0.886

0.853

0.817

0.776

--

--

--

--

-

--

~~

200

1.010

1.003

0.993

0.979

0.963

0.943

0.919

0.893

0.862

0.829

0.793

0.754

0.71*

--

--

--

--

--

~~

300

1.015

1.008

0.997

0.984

0.968

0.947

0.924

0.899

0.869

0.837

0.800

0.761

0.719

0.68*

--

--

--

--

--

"~

400

1.019

1.014

1.004

0.992

0.977

0.957

0.936

0.910

0.881

0.849

0.813

0.773

0.731

0.69*

--

--

--

--

--

 

500

1.023

1.017

1.007

0.996

0.980

0.962

0.940

0.916

0.888

0.858

0.824

0.786

0.746

0.703

0.66*

--

--

--

~~

600

1.027

1.021

1.013

1.001

0.986

0.968

0.947

0.923

0.897

0.867

0.835

0.799

0.760

0.719

0.67*

--

--

--

~~

Pressure 

700

1.032

1.027

1.018

1.008

0.993

0.978

0.957

0.934

0.908

0.879

0.845

0.810

0.770

0.729

0.68*

--

--

--

--

~~

(bars) 

800

1.036

1.029

1.020

1.010

0.996

0.980

0.961

0.939

0.914

0.886

0.856

0.823

0.788

0.750

0.709

0.66*

--

--

--

"

900

1.040

1.034

1.025

1.015

1.001

0.985

0.967

0.945

0.921

0.896

0.867

0.834

0.801

0.764

0.726

0.68*

--

--

--

*Extrapolated values
TABLE 16. Densities of 3 weight percent NaCl soluti

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0

Temp °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

*Extrapolated

100

.018

.014

.003

.990 

.973

.952 

.927

.899

.867

.832

.793

.747

--

--

values

200

1.024

1.017

1.006

0.992 

0.976

0.956 

0.932

0.906

0.876

0.843

0.807

0.768 

0.725

--

--

300

1.028

1.021

1.010

0.997 

0.981

0.961 

0.939

0.914

0.885

0.854

0.819

0.781 

0.741

0.70*

"

400

1.033

1.028

1.018

1.006 

0.991

0.972 

0.951

0.926

0.898

0.867

0.832

0.794 

0.753

0.71*

--

500

1.037

1.031

1.022

1.011 

0.996

0.978 

0.957

0.934

0.907

0.877

0.844

0.807 

0.768

0.726 

0.68*

-

600

1.041

1.035

1.027

1.016 

1.001

0.984 

0.964

0.941

0.915

0.886

0.855

0.820 

0.782

0.742 

0.70*

--

Pressure 

700

1.045

1.040

1.033

1.022 

1.009

0.993 

0.973

0.951

0.925

0.897

0.865

0.831 

0.793

0.753 

0.71*

--

(bars) 

800

1.050

1.043

1.035

1.025 

1.012

0.996 

0.977

0.956

0.932

0.905

0.876

0.844 

0.809

0.772 

0.732 

0.69*

-

900

1.053

1.047

1.039

1.029 

1.016

1.001 

0.983

0.962

0.939

0.914

0.886

0.855 

0.822

0.786 

0.748 

0.70*

-
TABLE 17. Densities of 5 weight percent NaCl solutio

[The uncertainties in the densities are: 3-place figures .±0.005 and.±0.

Temp °C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.033

1.027

1.016

1.003

0.985

0.964

0.940

0.913

0.882

0.848

0.809

0.765

--

--

--

--

--

~~

200

1.038

1.031

1.020

1.006

0.989

0.970

0.946

0.920

0.890

0.857

0.821

0.783

0.741

0.70*

0.66*

--

--

~~

300

1.042

1.034

1.023

1.010

0.995

0.975

0.953

0.929

0.901

0.871

0.838

0.802

0.764

0.72*

0.68*

--

--

-

~~

400

1.046

1.041

1.032

1.020

1.005

0.986

0.966

0.941

0.914

0.885

0.851

0.815

0.776

0.734

0.69*

--

 

500

1.051

1.046

1.037

1.026

1.012

0.994

0.974

0.952

0.926

0.896

0.864

0.828

0.790

0.749

0.700

0.678

0.64*

--

--

 ~

600

1.055

1.049

1.042

1.031

1.017

1.000

0.980

0.958

0.933

0.905

0.875

0.841

0.804

0.765

0.709

0.694

0.65*

--

 ~

Pressure 

700

1.059

1.054

1.047

1.036

1.024

1.008

0.988

0.967

0.942

0.915

0.884

0.852

0.816

0.777

0.725

0.709

0.666

0.625

--

"

(bars) 

800

1.063

1.057

1.050

1.040

1.028

1.012

0.994

0.973

0.951

0.924

0.896

0.865

0.831

0.794

0.755

0.720

0.676

0.635

--

--

900

1.067

1.061

1.053

1.044

1.031

1.017

0.999

0.978

0.957

0.932

0.905

0.876

0.843

0.808

0.770

0.731

0.687

0.645

--

"

'Extrapolated values
TABLE 18. Densities of 7 weight percent NaCl solutio

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0.

Temp °C 100

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

*Extrapolated

049

041

030

015

998

977

954 

927

897 

864

827

784

-

-

-

-

-

values

200

1.052

1.045

1.034

1.020

1.003

0.983

0.960 

0.934

0.904 

0.872

0.837

0.799

0.758

0.72* 

0.68*

-.

--

--

300

1.055

1.048

1.037

1.024

1.008

0.988

0.968 

0.944

0.917 

0.888

0.857

0.823

0.786

0.74* 

0.70*

-.

--

--

400

1.060

1.055

1.046

1.034

1.019

1.001

0.980 

0.957

0.931 

0.902

0.870

0.835

0.798

0.757 

0.71*

-.

--

--

500

1.065

1.060

1.052

1.041

1.028

1.011

0.991 

0.969

0.944 

0.915

0.884

0.849

0.812

0.772 

0.732 

0.69*

.-

--

--

600

1.069

1.064

1.056

1.046

1.032

1.016

0.997 

0.975

0.951 

0.924

0.894

0.861

0.826

0.788 

0.748 

0.70*

--

--

--

Pressure 

700

1.073

1.068

1.061

1.050

1.038

1.022

1.004 

0.983

0.959 

0.933

0.903

0.872

0.837

0.800 

0.764 

0.725

0.69*

--

--

(bars) 

800

1.077

1.071

1.064

1.055

1.043

1.028

1.011 

0.990

0.968 

0.942

0.915

0.884

0.851

0.816 

0.778 

0.741

0.71*

--

--

900

1.080

1.075

1.067

1.058

1.046

1.032

1.015 

0.995

0.974 

0.949

0.923

0.895

0.863

0.82§ 

0.792 

0.757

0.715

0.67*

--
TABLE 19. Densities of 9 weight percent NaCl solution

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0.0

Temp °C

25

50

75

100 

125

150

175

200

225 

250 

275

300

325

350 

375 

400 

425

450

475

500

100

1.064

1.055

1.043

1.029 

1.011

0.991

0.967

0.941

0.912 

0.880 

0.845

0.803

--

--

--

"

200

1.067

1.059

1.048

1.034 

1.017

0.997

0.974

0.949

0.919 

0.888 

0.853

0.816

0.777

0.73* 

0.69*

--

--

 

300

1.070

1.062

1.051

1.037 

1.022

1.003

0.983

0.960

0.933 

0.906 

0.876

0.843

0.808

0.773 

0.73*

--

--

~~

400

1.074

1.069

1.060

1.048 

1.034

1.016

0.995

0.973

0.947 

0.920 

0.889

0.855

0.819

0.785 

0.737 

0.69*

--

~~

500

1.079

1.075

1.067

1.056 

1.043

1.026

"1.008

0.985

0.961 

0.933 

0.903

0.869

0.834

0.795 

0.754 

0.71*

--

--

 

600

1.083

1.078

1.070

1.060 

1.047

1.031

1.013

0.992

0.968 

0.942 

0.913

0.881

0.847

0.810 

0.770 

0.73*

--

--

 

Pressure

700

1.087

1.082

1.074

1.064 

1.052

1.037

1.019

0.998

0.975 

0.950 

0.922

0.892

0.859

0.823 

0.786 

0.748 

0.70*

--

--

"

(bars)

800

1.091

1.085

1.079

1.070 

1.059

1.044

1.027

1.007

0.985 

0.960 

0.933

0.904

0.872

0.837 

0.800 

0.764 

0.72*

--

--

~~

900

1.094

1.089

1.082

1.073 

1.061

1.047

1.031

1.011

0.991 

0.967 

0.941

0.915

0.883

0.850 

0.813 

0.780 

0.738

0.69*

--

~~

'Extrapolated values
TABLE 20. Densities of 11 weight percent NaCl solut

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0.0

Temp °C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.080

1.069

1.057

1.042

1.025

1.004

0.982

0.956

0.928

0.897

0.863

0.823

..

__

--

._

--

__

..

200

1.082

1.073

1.063

1.048

1.031

1.012

0.989

0.964

0.935

0.904

0.870

0.834

0.796

0.76*

--

--

__

--

_.

300

1.085

1.076

1.065

1.051

1.036

1.017

0.997

0.975

0.950

0.923

0.895

0.863

0.829

0.795

0.75*

--

._

--

_.

400

1.089

1.084

1.074

1.062

1.048

1.030

1.011

0.988

0.964

0.937

0.908

0.875

0.841

0.807

0.763

0.72*

..

--

__

..

500

1.094

1.089

1.081

1.071

1.058

1.042

1.024

1.002

0.978

0.951

0.922

0.889

0.855

0.817

0.772

0.730

0.69*

--

__

..

600

1.098

1.092

1.085

1.075

1.062

1.046

1.028

1.008

0.985

0.959

0.932

0.901

0.867

0.832

0.790

0.751

0.702

0.67*

__

..

Pressure 

700

1.101

1.096

1.088

1.078

1.066

1.051

1.034

1.014

0.991

0.967

0.940

0.911

0.879

0.845

0.818

0.784

0.741

0.703

0.66*

(bars) 

800

1.105

1.100

1.094

1.085

1.073

1.059

1.042

1.024

1.002

0.978

0.951

0.923

0.892

0.858

0.822

0.788

0.745

0.709

0.67*

900

1.108

1.103

1.096

1.087

1.076

1.061

1.046

1.027

1.007

0.984

0.958

0.933

0.903

0.870

0.834

0.804

0.764

0.730

0.69*

..

'Extrapolated values
TABLE 21. Densities of 13 weight percent NaCl solutio

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0.05 

Temp °C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.095

1.083

1.071

1.055

1.038

1.018

0.996

0.971

0.944

0.914

0.882

0.843

-

-

-

--

-

 

200

1.097

1.088

1.077

1.062

1.045

1.026

1.003

0.979

0.951

0.921

0.888

0.853

0.816

0.77*

--

--

--

--

-

"

300

1.100

1.090

1.079

1.065

1.050

1 . 032

1.013

0.991

0.966

0.940

0.913

0.883

0.850

0.818

0.782

0.770

0.71*

--

~"

400

1.103

1.098

1.088

1.076

1.062

1.045

1.026

1.004

0.980

0.954

0.926

0.895

0.862

0.827

0.791

0.777

0.72*

--

--

"~

500

1.109

1.104

1.096

1.085

1.073

1.057

1.040

1.018

0.995

0.968

0.940

0.908

0.875

0.839

0.801

0.786

0.73*

--

--

"~

600

1.112

1.107

1.099

1.089

1.076

1.061

1.044

1.024

1.002

0.976

0.950

0.920

0.888

0.853

0.817

0.794

0.738

0.704

0.67*

~~

Pressure 

700

1.116

1.110

1.102

1.092

1.080

1.065

1.049

1.030

1.008

0.984

0.958

0.930

0.900

0.866

0.832

0.811

0.757

0.724

0.69*

"~

(bars) 

800

1.119

1.114

1.108

1.099

1.088

1.074

1.058

1.039

1.019

0.995

0.969

0.941

0.911

0.878

0.843

0.822

0.767

0.735

0.701

0.67*

900

1.123

1.117

1.110

1.101

1.090

1.076

1.061

1.042

1.023

1.000

0.975

0.952

0.922

0.890

0.855

0.833

0.778

0.745

0.713

0.68*

Extrapolated values
TABLE 22. Densities of 15 weight percent NaCl solutio

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0.05 

Temp°C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.111

1.098

1.085

1.069

1.052

1.033

1.011

0.987

0.961

0.932

0.901

0.865

--

--

--

--

--

--

--

~~

200

1.112

1.103

1.092

1.077

1.060

1.041

1.019

0.995

0.967

0.938

0.907

0.873

0.838

0.79*

--

--

--

--

--

~~

300

1.115

1.105

1.094

1.080

1.065

1.047

1.028

1.007

0.982

0.957

0.931

0.902

0.871

0.839

0.804

0.768

0.73*

--

--

~~

400

1.119

1.113

1.103

1.091

1.077

1.060

1.041

1.020

0.996

0.971

0.944

0.914

0.882

0.848

0.812

0.773

0.74*

--

--

"

500

1.124

1.119

1.111

1.100

1.088

1.072

1.055

1.034

1.012

0.985

0.958

0.927

0.895

0.860

0.822

0.782

0.75*

--

--

"

600

1.127

1.122

1.114

1.104

1.091

1.076

1.059

1.040

1.018

0.993

0.967

0.938

0.907

0.874

0.838

0.800

0.760

0.718

0.67*

 

Pressure 

700

1.130

1.125

1.117

1.107

1.095

1.080

1.064

1.045

1.024

1.001

0.975

0.948

0.919

0.887

0.853

0.817

0.779

0.739

0.69*

""

(bars) 

800

1.134

1.129

1.123

1.114

1.103

1.089

1.073

1.055

1.035

1.012

0.986

0.959

0.930

0.898

0.864

0.828

0.789

0.749

0.705

0.66*

900

1.137

1.132

1.125

1.116

1.105

1.091

1.076

1.059

1.039

1.017

0.992

0.969

0.940

0.909

0.875

0.839

0.800

0.759

0.716

0.68*

*Extrapolated values
TABLE 23. Densities of 17 weight percent NaCl solutio

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0..0

Temp °C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.126

1.113

1.100

1.084

1.067

1.047

1.026

1.002

0.977

0.950

0.921

0.886

0.85*

--

--

--

--

~~

200

1.128

1.118

1.105

1.091

1.074

1.055

1.034

1.011

0.985

0.956

0.926

0.894

0.860

0.82*

0.78*

--

-

~~

300

1.131

1.120

1.108

1.094

1.079

1.061

1.043

1.022

0.999

0.975

0.949

0.922

0.892

0.861

0.821

0.79*

--

--

--

~~

400

1.134

1.128

1.117

1.105

1.091

1.074

1.056

1.035

1.013

0.988

0.962

0.933

0.903

0.870

0.834

0.796

0.76*

--

~~

500

1.139

1.133

1.125

1.114

1.107

1.086

1.069

1.049

1.027

1.002

0.976

0.946

0.915

0.882

0.844

0.805

0.77*

-

~~

600

1.142

1.136

1.128

1.118

1.105

1.090

1.073

1.055

1.033

1.010

0.984

0.956

0.927

0.895

0.860

0.823

0.791

0.739

0.708

0.67*

Pressure 

700

1.145

1.139

1.131

1.121

1.109

1.094

1.078

1.059

1.039

1.017

0.992

0.966

0.938

0.908

0.874

0.840

0.811

0.759

0.734

0.69*

(bars) 

800

1.149

1.143

1.137

1.128

1.117

1.103

1.087

1.069

1.050

1.028

1.003

0.977

0.949

0.918

0.885

0.851

0.821

0.770

0.746

0.72*

900

1.152

1.146

1.139

1.130

1.119

1.105

1.090

1.073

1.054

1.032

1.009

0.986

0.958

0.928

0.896

0.862

0.832

0.780

0.757

0.74*

'Extrapolated values
TABLE 24. Densities of 19 weight percent NaCl solutio

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0.05 

Temp °C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.141

1.128

1.114

1.098

1.081

1.062

1.041

1.019

0.995

0.969

0.941

0.908

0.87*

--

-

--

--

--

200

1.144

1.133

1.121

1.106

1.089

1.071

1.050

1.027

1.002

0.975

0.946

0.915

0.884

0.870

0.837

0.803

0.77*

--

--

--

300

1.146

1.135

1.123

1.109

1.094

1.076

1.058

1.038

1.015

0.992

0.967

0.941

0.912

0.880

0.848

0.814

0.78*

--

--

400

1.150

1.142

1.132

1.120

1.105

1.089

1.071

1.051

1.029

1.005

0.980

0.952

0.923

0.892

0.858

0.823

0.786

0.75*

--

--

500

1.154

1.148

1.139

1.128

1.115

1.100

1.083

1.063

1.042

1.018

0.912

0.964

0.935

0.903

0.870

0.835

0.796

0.76*

--

--

600

1.158

1.151

1.142

1.132

1.119

1.104

1.088

1.069

1.048

1.026

1.001

0.974

0.946

0.915

0.882

0.848

0.812

0.77*

--

--

Pressure 

700

1.161

1.154

1.145

1.135

1.123

1.108

1.092

1.074

1.054

1.033

1.009

0.984

0.957

0.927

0.893

0.859

0.823

0.785

0.745

0.70*

(bars) 

800

1.164

1.158

1.151

1.142

1.131

1.117

1.101

1.084

1.065

1.043

1.020

0.994

0.967

0.937

0.906

0.871

0.838

0.803

0.765

0.725

900

1.167

1.161

1.153

1.144

1.133

1.119

1.104

1.087

1.069

1.048

1.025

1.003

0.976

0.947

0.916

0.887

0.855

0.821

0.786

0.748

Extrapolated values 
TABLE 25. Densities of 21 weight percent NaCl solut

[The uncertainties in the densities are: 3-place figures ±0,005 and ±0.0

Temp "C

25

SO

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.157

1.143

1.129

1.113

1.096

1.077

1.057

1.035

1.012

0.988

0.962

0.931

0.901

--

--

--

~~

200

1.160

1.148

1.136

1.121

1.104

1.086

1.066

1.044

1.020

0.994

0.967

0.938

0.908

0.893

0.864

0.832

0.80*

--

--

~~

300

1.162

1.151

1.139

1.124

1.109

1.092

1.073

1.054

1.032

1.009

0.985

0.960

0.932

0.902

0.873

0.843

0.81*

--

~~

400

1.166

1.158

1.147

1.134

1.120

1.104

1.086

1.066

1.045

1.022

0.997

0.971

0.943

0.912

0.880

0.849

0.82*

--

--

~~

500

1.170

1.163

1.154

1.142

1.129

1.114

1.097

1.078

1.057

1.034

1.009

0.982

0.954

0.923

0.892

0.858

0.83*

--

--

~~

600

1.173

1.166

1.157

1.146

1.133

1.118

1.102

1.083

1.063

1.041

1.018

0.991

0.964

0.935

0.904

0.872

0.837

0.80*

--

~~

Pressure 

700

1.176

1.169

1.160

1.149

1.137

1.122

1.107

1.088

1.069

1.048

1.025

1.001

0.975

0.947

0.914

0.885

0.8S2

0.82*

--

*~

(bars) 

800

1.179

1.173

1.166

1.156

1.144

1.130

1.115

1.098

1.079

1.058

1.036

1.019

0.98S

0.956

0.926

0.899

0.863

0.83*

--

~~

900

1.182

1.176

1.168

1.158

1.147

1.133

1.118

1.102

1.083

1.063

1.041

1.025

0.993

0.966

0.936

0.910

0.872

0.849

0.819

0.78*

Extrapolated values
TABLE 26. Densities of 23 weight percent NaCl solution

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0.05 f

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

1.136

1.119

1.102

1.082

1.061

1.039 

1.015

0.989

0.961 

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

0.865

0.836

0.79*

--

400

1.182

1.173

1.162

1.149

1.134

1.118

1.101

1.081

1.061 

1.039

1.015

0.989 

0.962 

0.934

0.904

0.872

0.843

0.80*

--

500

1.186

1.178

1.168

1.156

1.142

1.127

1.110

1.091

1.071 

1.049

1.025

0.999 

0.973 

0.944

0.914

0.882

0.849

0.813

0.77*

600

1.189

1.181

1.171

1.160

1.146

1.131

1.115

1.097

1.078 

1.056

1.033

1.009 

0.982 

0.955

0.925

0.894

0.861

0.823

0.79*

Pressure 

700

1.192

1.184

1.174

1.163

1.151

1.136

1.121

1.102

1.084 

1.063

1.041

1.017 

0.993 

0.965

0.936

0.906

0.874

0.843

0.80*

(bars) 

800

1.195

1.188

1.180

1.170

1.158

1.144

1.129

1.112

1.093 

1.073

1.051

1.027 

1.002 

0.975

0.946

0.917

0.885

0.855

0.820

0.78*

900

1.198

1.191

1.182

1.172

1.161

1.147

1.132

1.116

1.098 

1.078

1.057

1.035 

1.011 

0.984

0.956

0.928

0.898

0.868

0.837

0.80*
TABLE 27. Densities of 25 weight percent NaCl solutio

[The uncertainties in the densities are: 3-place figures ±0.005 and ±0.05 

Temp °C

25

50

75

100

125

150

175

200

225

250

275

300

325

350

375

400

425

450

475

500

100

1.188

1.175

1.160

1.143

1.127

1.109

1.090

1.070

1.049

1.027

1.004

0.979

0.952

0.926

0.90*

0.87*

--

--

--

..

200

1.192

1.179

1.167

1.152

1.135

1.117

1.099

1.078

1.058

1.035

1.011

0.986

0.960

0.937

0.908

0.877

0.84*

--

--

.-

300

1.195

1.183

1.170

1.155

1.140

1.122

1.104

1.085

1.065

1.044

1.021

0.997

0.971

0.945

0.917

0.886

0.855

0.81*

--

..

400

1.199

1.188

1.177

1.164

1.149

1.133

1.116

1.097

1.075

1.055

1.032

1.007

0.981

0.954

0.924

0.893

0.861

0.82*

--

..

500

1.202

1.193

1.182

1.169

1.155

1.140

1.123

1.105

1.085

1.064

1.041

1.017

0.991

0.964

0.934

0.903

0.871

0.83*

--

__

600

1.205

1.196

1.185

1.173

1.160

1.145

1.129

1.111

1.091

1.071

1.049

1.025

1.001

0.974

0.945

0.915

0.883

0.848

0.81*

..

Pressure 

700

1.207

1.200

1.189

1.177

1.164

1.150

1.134

1.116

1.098

1.078

1.057

1.033

1.010

0.983

0.955

0.925

0.894

0.861

0.82*

_.

(bars) 

800

1.211

1.204

1.194

1.183

1.171

1.157

1.142

1.125

1.107

1.087

1.066

1.043

1.019

0.993

0.965

0.936

0.905

0.874

0.836

0.812

900

1.213

1.207

1.197

1.186

1.174

1.161

1.146

1.129

1.111

1.092

1.072

1.050

1.027

1.002

0.975

0.947

0.918

0.887

0.857

0.827

*Extrapolated values
TABLE 28. Interpolation coefficients for NaCl solu

= ______ 1000do+ M2mdp ______

1000 + Agmdg + Bom3 /2a 0 + CQ

where dg = density of water at temperatu

and M2 = molecular weight of NaCl.] 

Temp (°C) A 0 B 0 C 0 

0

25

50

75

12.43

16.62

18.00

18.18

3.07

1.773

1.66

1.19

-.02

.09

.00

.12
C36 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

S 

c

 S

o

Si

 8 

1

O

03 fc

 H co co -HI

i o r- ^ (N rO 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 CQU

X XX XX XX X

'"0*0 <Jb o

X 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 properties 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