^Physical Properties

of the Coexisting Phases

and Thermochemical Properties

of the H2O Component

in Boiling NaCl Solutions

GEOLOGICAL SURVEY BULLETIN 1421-A

1 /-' ' r

\ ' \ '

Physical Properties

of the Coexisting Phases

and Thermochemical Properties

of the H2O Component

in Boiling NaCl Solutions

By JOHN L. HAAS, JR.

PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

GEOLOGICAL SURVEY BULLETIN 1421-A

Tables giving the temperature-vapor pressuredensity-specific volume relations for the 

coexisting liquid and gas and the partial 

molal volume, enthalpy, and entropy of the 

H2O component in the coexisting phases 

between 80° and 325° C up to saturation 

in halite

UNITED STATES GOVERNMENT PRINTING OFFICE, WASHINGTON : 1976
UNITED STATES DEPARTMENT OF THE INTERIOR 

THOMAS S. KLEPPE, Secretary

GEOLOGICAL SURVEY 

V. E. McKelvey, Director

Library of Congress Cataloging in Publication Data

Haas, John L

Physical properties of the coexisting phases and thermochemieal properties of the

H2 0 component in boiling NaCl solutions.

(Preliminary steam tables for NaCl solutions) (Geological survey bulletin; 1421-A) 

Bibliography: p.

Supt. of Docs, no.: I 19.3:1421-A 

1. Thermochemistry Tables, etc. 2. Solution (Chemistry) Tables. 3. Water 

Thermal properties Tables. I. Title. II. Series. III. Series: United States.

Geological Survey. Bulletin; 1421-A.

QE75.B9 no. 1421-A [QD511.8] 557.3'08s 76-608098 [541'.36'0212]

For sale by the Superintendent of Documents, U.S. Government Printing Office

Washington, D.C. 20402 

Stock Number 024-001-02904-9
CONTENTS

Page

Abstract _______________________________________ Al

Introduction _____________________________________ 1

Units, symbols, and constants ______________________ 2

Units and symbols used in tables and text ______________ 2

Fundamental constants used in calculations ________________ 4

Empirical constants used in the text and calculations _________ 4

Physical properties of the phases and thermochemical data for H^O 5

Synopsis of the theoretical approach ______________ 5

Vapor-pressure function _______________________.. 6

Functions for the volumetric properties ________________ 8

Density of the vapor-saturated solution __________________ 8

Partial molal volume of H2 0 in the liquid __________ 10

Partial molal volume of H2 0 in the gas __________ 12

Enthalpy functions _____________________________ 14

Partial molal enthalpy of H^O in the gas _____ _ ____ 14

Enthalpy difference between the gas and the liquid at constant liquid composition _ __________ 14

Partial molal enthalpy of H2 0 in the liquid at constant composition _______________________________ 15

Entropy functions __________________________ 15

Partial molal entropy of H20 in the gas __________ _ 15

Entropy difference between the gas and the liquid at constant

liquid composition ___ ___ ____________ __ ___ 16

Partial molal entropy of H20 in the liquid at constant composition __________________________ 17

Composition of the liquid at halite saturation _________ __ ___ 18

The reference state for enthalpy and entropy _______ _ _____ 18

Tables for NaCl solutions ___________________________ 18

References cited ____________________________ 19

ILLUSTRATIONS

Page

FIGURE 1. Schematic representation of the relation between Tz and T0 A7

2. Vapor pressure of Nad solutions from 0 wt percent to

halite saturation at 80° to 325° C______________ 9

3. Density of the liquid phase for vapor-saturated Nad solutions from 0 wt percent to halite saturation at 80° to 

325° C ______________________________ 10

4. Specific volume of the liquid phase for vapor-saturated 

NaCl solutions from 0 wt percent to halite saturation 

at 80° to 325° C __________________________ 11

ill
IV CONTENTS

Page

FIGURE 5. The partial molal volume of H20 in the liquid phase for 

vapor-saturated NaCl solutions from 0 wt percent to 

halite saturation at 80° to 325° C _____________- A12

6. Specific volume of the gas phase for liquid-saturated NaCl 

solutions from 0 wt percent to halite saturation at 80° 

to 325° C _____________________________ 13

7. The partial molal enthalpy of H2 0 in the liquid and the gas 

for vapor-saturated NaCl solutions from 0 wt percent 

to halite saturation at 80° to 325° C __________ 16

8. The partial molal entropy of H20 in the liquid and the gas 

for vapor-saturated NaCl solutions from 0 wt percent 

to halite saturation at 80° to 325° C 17

TABLES

Page

TABLES 1-28. NaCl concentration:

1. 0.0000 mol/kg H»0, 0.00 wt percent, 0.000 mol

percent _____________-__-___ A24

2. 0.5000 mol/kg H2 0, 2.84 wt percent, 0.893 mol

percent _________ _-__-___ 26

3. 0.9006 mol/kg H20, 5.00 wt percent, 1.597 mol

percent ________ __ _______ 28

4. 1.0000 mol/kg H2 0, 5.52 wt percent, 1.770 mol

percent ______________________ 30

5. 1.5000 mol/kg H2 0, 8.06 wt percent, 2.631 mol

percent ____________________ 32

6. 1.9012 mol/kg H20, 10.00 wt percent, 3.312 mol

percent ____________________ 34

7. 2.0000 mol/kg H20,10.47 wt percent, 3.478 mol

percent ________ _ 36

8. 2.5000 mol/kg H2 0,12.75 wt percent, 4.310 mol

percent ____________________ 38

9. 3.0000 mol/kg H20, 14.92 wt percent, 5.127 mol

percent _____________________ 40

10. 3.0195 mol/kg H20, 15.00 wt percent, 5.159 mol

percent ____________________ 42

11. 3.5000 mol/kg H20, 16.98 wt percent, 5.931 mol

percent _____________________ 44

12. 4.0000 mol/kg H.O, 18.95 wt percent, 6.722 mol

percent ___-________________ 46

13. 4.2777 mol/kg H20, 20.00 wt percent, 7.155 mol

percent ___________________-_ 48

14. 4.5000 mol/kg H2 0, 20.82 wt percent, 7.499 mol

percent ___-_____-____-_ 50

15. 5.0000 mol/kg H2 0, 22.61 wt percent, 8.263 mol

percent _________-_____-_ 52

16. 5.5000 mol/kg H20, 24.32 wt percent, 9.015 mol

percent ____ _._ __________ 54
CONTENTS V

Page

TABLES 1-28. NaCl concentration Continued

17. 5.7036 mol/kg H20, 25.00 wt percent, 9.318 mol

percent ________ _____ A56

18. 6.0000 mol/kg H2 0, 25.96 wt percent, 9.755 mol

percent __________________-__ 58

19. 6.5000 mol/kg H2 0, 27.53 wt percent, 10.482

mol percent __________________ _ ___ 60

20. 7.0000 mol/kg H20, 29.03 wt percent, 11.198

mol percent _ _ _ ___ ___ _ __ 62

21. 7.3332 mol/kg H20, 30.00 wt percent, 11.670

mol percent 63

22. 7.5000 mol/kg H20, 30.47 wt percent, 11.903

mol percent __ _ __ 64

23. 8.0000 mol/kg H2 0, 31.86 wt percent, 12.597

mol percent ____ _ __ _ 65

24. 8.5000 mol/kg H20, 33.19 wt percent. 13.279

mol percent ____________ __ 66

25. 9.0000 mol/kg H2 0, 34.47 wt percent, 13.952

mol percent __________ __ 67

26. 9.2135 mol/kg H20, 35.00 wt percent, 14.235

mol percent ______________ __ 68

27. 9.5000 mol/kg H20, 35.70 wt percent, 14.613

mol percent __________________ 69

28. 10.0000 mol/kg H2 0, 36.89 wt percent, 15.265

mol percent ______________ ___ 69

29. Halite-saturated NaCl solutions, concentrations in wt

percent ________ __ __ ___ ___ __ __ ___ 70

30. Halite-saturated NaCl solutions, concentrations in mol/

kgH.O (molal) ________________________ 72
METRIC-ENGLISH EQUIVA

Metric unit English equivalent

Length

millimetre (mm) 

metre (m) 

kilometre (km)

= 0.03937 inch (in) 

= 3. 28 feet (ft) 

= .62 mile (mi)

Area

square metre (m=) 

square kilometre (km-) 

hectare (ha)

= 10.76 square feet (ft2 ) 

= .386 square mile (mi2 ) 

= 2.47 acres

Volume

cubic centimetre (cm") 

litre (1) 

cubic metre (m3 ) 

cubic metre 

cubic hectometre (hm3 

litre 

litre 

litre 

cubic metre

cubic metre

= 0.061 cubic inch (in3 ) 

= 61.03 cubic inches 

= 35.31 cubic feet (ft3 ) 

= .00081 acre-foot (acre-ft) 

= 810.7 acre-feet 

= 2.113 pints (pt) 

= 1.06 quarts (qt) 

= .26 gallon (gal) 

. .00026 million gallons (Mgal or 

108 gal) 

= 6.290 barrels (bbl) (1 bbl = 42 gal)

Weight

gram (g) 

gram 

tonne (t) 

tonne

= 0.035 ounce, avoirdupois (oz avdp) 

= .0022 pound, avoirdupois (Ib avdp) 

= 1.1 tons, short (2.000 Ib) 

= .98 ton, long (2,240 Ib)

Specific combinations

kilogram per square 

centimetre (kg/cm2 ) 

kilogram per square 

centimetre 

cubic metre per second 

(mVs)

= 0.96 atmosphere (atm) 

= .98 bar (0.9S69 atm) 

= 35.3 cubic feet per second (ft3/s)

Metric unit

litre per second 

cubic metre per 

per square kil

[(mVs)/km2 ]

metre per day (i

metre per kilom

(m/km) 

kilometre per ho

(km/h) 

metre per second 

metre squared pn

(mVd)

cubic metre per 

(mVs)

cubic metre per 

(m-ymin)

litre per second 

litre per second 

metre [(l/s)/m

kilometre per ho

(km/h) 

metre per second 

gram per cubic 

centimetre (g

gram per square 

centimetre (g

gram per square 

centimetre

degree Celsius (

degrees Celsius 

(temperature)
PRELIMINARY STEAM TABLES FOR NaCi SOLUTIONS

PHYSICAL PROPERTIES OF THE

COEXISTING PHASES AND 

THERMOCHEMICAL PROPERTIES

OF THE H2O COMPONENT 

IN BOILING NaCl SOLUTIONS

By JOHN L. HAAS, JR.

ABSTRACT

Preliminary steam tables that contain data on the physical properties of 

vapor-saturated aqueous sodium chloride solution and the coexisting gas are 

given for liquid concentrations between 0 mol NaCl/kg ELO and halite saturation at temperatures between 80° and 325° C. For the same conditions, the 

tables give the partial molal entropy, enthalpy, and volume of H2 0 in the 

phases. The tables were calculated from parametric equations of state.

INTRODUCTION

The tables assembled contain data for the following physical 

properties of aqueous, vapor-saturated sodium chloride solution 

and for the thermochemical properties of H2 0 in the solution:

vapor pressure of the liquid

density of the liquid

specific volume of the liquid

specific volume of the coexisting gas

partial molal volume of H2 0 in the liquid

partial molal entropy of H2 0 in the liquid

difference in the partial molal entropy of H2 0 between the

gas and the liquid at constant composition of the liquid 

partial molal entropy of H2 0 in the coexisting gas 

partial molal enthalpy of H2 0 in the liquid 

difference in the partial molal enthalpy of H2 0 between the

gas and the liquid at constant composition of the liquid 

partial molal enthalpy of H2 0 in the coexisting gas

Al
A2 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

The values are tabulated for solution compositions from 0 mol 

NaCl/kg H2 0 to halite saturation at temperatures from 80° to 

325° C. The assembled tables are essentially "steam tables" for 

vapor-saturated H2 0-NaCl solutions.

The tables presented here are preliminary. The functions upon 

which they are based represent a reasonably complete analysis of 

the available data through 1971. Final tables should include the 

energy content of the solution and the partial molal quantities for 

NaCl in the solution. Because there is an immediate need for the 

contained data, they have been made available in this preliminary 

form.

The tables are given as an aid to geochemical and engineering 

studies related to the geothermal energy program of the United 

States. They have been prepared in direct response to the suggestions of scientists and engineers at the Conference on Thermodynamics and National Energy Problems (National Academy of 

Sciences, 1974) and of an Ad Hoc Committee on Geothermal 

Chemistry (1974) convened by the U.S. Atomic Energy Commission. The research was made possible through the support of the 

U.S. Office of Saline Water (Agreements No. 14-30-3040) and 

the geothermal research program of the U.S. Geological Survey.

UNITS, SYMBOLS, AND CONSTANTS

UNITS AND SYMBOLS USED IN TABLES AND TEXT

The chosen units in the tables for measurements of temperature, 

pressure, specific volume, and density are °C, bars, cm3 g~ 3-, and g 

cm- 3 , respectively. These units are the same as those used in 

several widely referenced steam tables (Bain, 1964; Keenan and 

others, 1969). The partial molal entropy, enthalpy, and volume 

are given as J mol" 1 K" 1 , J mol" 1 , and cm3 mol" 1 , respectively, because these are the units most used in thermodynamic calculations. Both weight percent and molal (mol NaCl/kg H2 0) scales 

for units of sodium chloride concentration are widely used in engineering and geochemical research. Both scales are used here to 

achieve maximum use of the tables.

The quantities, their symbols, and the associated units used in 

this text and in the tables are as follows:
H2 0 COMPONENT IN BOILING NaCl SOLUTIONS A3

Quantity Symbol Units

density d g cm"3

specific enthalpy h J g"1

molal enthalpy H J mol" 1

Masson's Rule slope in the k cm"(kg HW)) 1 '2 /(mol NaCl) 3/2

empirical equation for

apparent molal volume

mole fraction of NaCl N mol NaCl/ (mol NaCl+mol H,0) 

pressure p bar (=lx!0r> pascals) 

molar gas constant R J mol^K"1 

specific entropy s J g^K" 1 

molal entropy S J mol^K"1 

temperature t degrees Celsius, °C

T kelvins, K

specific volume v cm'g"1 

molal volume V cm3 mol" 1 

molecular weight W g mol"1 

concentration of NaCl in the x mol NaCl/kg H«0 (molal)

liquid w wt percent NaCl 

apparent molal volume of NaCl <t> cm3 mol" 1

in the liquid 

limiting apparent molal volume 0, cm3 mol" 1

of NaCl in the liquid as

derived from Masson's

Rule

In the text and the tables the following superscripts are used:

SVbSPt Connotation

G The superscripted quantity is an attribute of the

gaseous phase. 

L The superscripted quantity is an attribute of the

liquid phase. 

- (bar) The overscored quantity is a partial molal quantity

of the component indicated by the subscript, in the

solution.

In the text and the tables the following subscripts are used:

*SSSS? Connotation

1 The subscripted quantity is a partial quantity for the 

component H-O.

2 The subscripted quantity is a partial quantity for the 

component NaCl.

0 The subscripted quantity is an attribute of the pure 

substance H-0.

x The subscripted quantity is an attribute of a solution 

of constant but undefined composition in the system 

NaCl-HoO.

sat The subscripted quantity is an attribute of a solution 

that is saturated in halite.

c The subscripted quantity is an attribute of the pure 

substance H2 0 at the critical point where the properties of the liquid and the gas are identical.
A4 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

FUNDAMENTAL CONSTANTS USED IN CALCULATIONS

The Committee on Data for Science and Technology (1973) of 

the International Council of Scientific Unions gives the molar 

gas constant R as (8.31441 ±0.00026) J mol- 1 K' 1 .

The Commission on Atomic Weights (1972) gives the following atomic weights:

H (1.0079 ±0.0001) g mol- 1

0 (15.9994 + 0.0003) g mol- 1

Na (22.98977 ±0.00001) g mol- 1

Cl (35.453 ±0.001) g mol- 1

From these atomic weights the molecular weights of the components are:

H2 0 PF1 =(18.0152±0.0005) gmol- 1 

NaCl TF2 = (58.4428±0.0010) g mol- 1

EMPIRICAL CONSTANTS USED IN THE TEXT AND CALCULATIONS

The following list gives the constants for the equations presented in the text. The equation numbers and the constants are 

as follows:

Equation 4:

at = 5.93582 XlQ- 6 

a2 =-5,19386 XlO- 5 

a3 = 1.23156xlO- 5

Equation 5:

61 = 1.15420X10- 6

62 = 1.41254 XlO- 7 

63 =-1.92476xlO- 8 

64 =-1.70717 XlO- 9 

6 5 = 1.05390X10- 10

Equation 6:

e0 = 12.50849 

e1 =-4.616913xl03 

e2 = 3.193455xlO~4 

e3 = 1.1965xlO- 11 

e4 =-1.013137xlO- 2 

e5 =-5.7148XlO~3 

e6 = 2.9370 XlO5

Equation 9:

Co =-167.219 

Cl =448.55 

c2 =-261.07
H20 COMPONENT IN BOILING NaCl SOLUTIONS A5

S

Equation 10:

c3 =-13.644 

c4 = 13.97

Equation 11 :

c5 =- 0.315154 

ce =~ 1.203374 xlO- 3 

c 7 = 7.48908 XlO- 13 

c8 = 0.1342489 

cfl =- 3.946263 XlO- 3

Equation 17 : ai} are as follows :

i=Q i=l i=2

7 = 0 0.512004 0.611366 8.44104

1 -1.191807 -3.258346 28.86344

2 2.599832 6.393115 -270.10366

3 -21.433083 -6.447504 624.08835

4 15.281761 3.202128 -675.70455

5 -2.527165 -0.514945 363.16788

6 -2.454047 -0.120192 -79.26405

PHYSICAL PROPERTIES OF THE PHASES AND 

THERMOCHEMICAL DATA FOR H2O

SYNOPSIS OF THE THEORETICAL APPROACH

In previous research (Haas, 1970; 1971a, b), empirical expressions were presented for the vapor pressure and density of 

vapor-saturated sodium chloride solutions. Those results were 

combined with the expressions for the change of the pressure with 

temperature for a binary liquid of constant composition (Dalton 

and Barieau, 1968, p. 56, eq. 398) to prepare tables for the 

thermophysical properties of H2 0 in the coexisting liquid and gas.

(

where the symbols are as defined in the previous section. The 

terms AS, AV, and &H (eq 2) are the partial molal entropies, 

volumes, and enthalpies of vaporization of the components indicated by the subscripts. Because the coexisting liquid and gas are 

at equilibrium, the free-energy difference is zero and equation 1 

may be restated :

-g
A6 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

The partial molal entropy and partial molal enthalpy of H2 0 in 

the liquid can be obtained from pressure-temperature-composition and density-temperature-composition functions provided 

that the products NG -&S2 , NG -&H2) and NG -A?2 are small, and 

provided that the salt content of the vapor is nil. If the salt content of the vapor is nil, the properties of pure gaseous H2 0 at the 

temperature and pressure of the solution may be substituted for 

the partial molal quantities of H2 0 in the gas.

At 350°C and halite saturation, the vapor contains 8xlO- 4 mol 

percent NaCl (Sourirajan and Kennedy, 1962). (Concentration 

data at 300° C are unavailable, but it would be less than 350°C.) 

At 300° and halite saturation, the enthalpy of vaporization of 

NaCl from the solution is estimated to be 15 kJ mol" 1 and the 

product NG -&H2 is less than 0.1 J mol" 1 (estimated from an analysis of the data in Liu and Lindsay, 1971, and Sourirajan and 

Kennedy, 1962). The product NG -&S2__is therefore less than 

2X10- 4 J mol- 1 K- 1 . The product N°-AF2 could riot be estimated.

Granting that the above products are small, equations 1 and 

2 may be simplified:

<2a)

In equations la and 2a, the term (7$p/'dT) x may be evaluated 

from the functions for the vapor pressure of the solution; the

terms Si, #1, and V\ from functions for the gaseous H2 0; and 

F! from the function for the density of the vapor-saturated solution. The remaining terms Si and Hl may be obtained by substitution of the described functions into equations la and 2a, respectively, and solving the results.

VAPOR-PRESSURE FUNCTION

Haas (1971a, b) used the reference substance technique as given 

by Othmer and Yu (1968) and further amplified by Othmer and 

Chen (1968) to correlate the vapor pressure of solutions of NaCl 

from 0 molal to halite saturation. From the Clapeyron equations 

for the vaporization of two liquids, Othmer and coworkers have 

shown that the temperature of the brine Tx and the temperature
H20 COMPONENT IN BOILING NaCl SOLUTIONS A7

of H2 0 liquid T0 at the same pressure are related by the following 

equation :

In T0 =m In Tx + c (kelvins, K) (3)

Refer to figure 1 for a graphical description of the relation beween Tx and T0 at constant pressure. From -11° to 300° C, where 

precise data are available, the empirical fit was made by setting 

c = 0 and m= (a+bTx )- 1 . The terms a and b are concentration 

dependent polynomials of order 3 and 5, respectively.

2 + a^x3 (4)

The values of a< and bif revised from those given by Haas 

(1971a, b) are given in the section entitled "Empirical constants

'0 'X

TEMPERATURE

FIGURE 1. Schematic representation of the relation between Tf and T0. Tx is 

the temperature of the brine, x molal, and To is the temperature of H2 0 

liquid, 0 molal, at the same pressure PO=PX. The relation between Tx and T0 

is given in the text. The vapor pressure of the brine is equal to the vapor 

pressure of H20 liquid at T0.
A8 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

used in tables and text." The data from which the constants were 

obtained by least-squares regression are given in the following 

references. The range in temperature and composition that were 

covered by each data set is given in columns 2 and 3, respectively.

Reference Temperature Concentration

Smith (1939) _____________ 60 to 101 0.05 to 1.0 

Smith and Hirtle (1939) ______ 61 to 105 1.5 to 4.0 

Robinson and Stokes (1959) ____ 15 to 45 0.1 to 6.0 

Gardner and others (1963) _____ 125 to 270 1.0 to 3.0 

Lindsay and others (1968) _____ 125 to 300 0.1 to 1.0 

Gardner (1969) ____________ 140 to 265 0.5 to 1.0 

Liu and Lindsay (1971) ______ 75 to 300 3.7 to halite

saturation

Momicchioli and others (1970) ___ Oto 11 0.02 to 3.1 

International Critical Tables National Research Council, 1928) __ Oto 109 0.0 to halite

saturation

The vapor pressure of the brine at Tx was then calculated from 

the vapor pressure of H2 0 liquid at the corresponding temperature To by using equation 6 (modified from Bain, 1964).

In p = e 0 + + + [10< c»w">-1.0] +eJO(c^-*> (bars) (6)

z z 

where

y = 647.27 -T0 

z = To + 0.01

The constants e 0 through eG are given in the section entitled "Empirical constants used in the text and calculations."

By using equations 3 through 6, the standard error of estimate 

of the vapor pressure of sodium chloride solutions is calculated 

to be 0.32 percent of the observed pressure.

The vapor pressures of NaCl solutions from 0 wt percent to 

halite saturation are given in figure 2. The contour interval is 5 

wt percent NaCl. The shaded part of the diagram is based on 

extrapolation of the functions given above.

FUNCTIONS FOR THE VOLUMETRIC PROPERTIES

DENSITY OF THE VAPOR-SATURATED SOLUTION

The density of the vapor-saturated sodium chloride solution is 

given by equations 7 through 10 below (Haas, 1970),
H20 COMPONENT IN BOILING NaCl SOLUTIONS A9

140.00

120.00 -

i I I I I I I i

75.00 100.00 125.00 150.00 175.00 200.00 225.00 250.00 275.00 300.00 325.00 

TEMPERATURE, IN DEGREES CELSIUS

FIGURE 2. Vapor pressure of NaCl solutions from 0 wt percent to halite 

saturation at 80° to 325 °C. The contour interval is 5 wt percent NaCl contained in the liquid phase. The data in the shaded zone were calculated by 

extrapolating the functions given in the text.

,

(& cm~ 3 ) 

(cm'mol- 1 ) 

2Vo (cm:! mol" 1 )

(7)

(8)

(9)

Nad)'/2 ) (10)

where d is the density, W2 is the molecular weight of sodium 

chloride, v0 is the vapor-saturated specific volume of liquid H2 0 

at Tx, vc is the specific volume of H2 0 at the critical point, 0 is the 

apparent molal volume of NaCl in the solution, and <£. is the limiting apparent molal volume of NaCl as the concentration in the 

liquid goes to 0. The constants c 0 through c.t are given in the section 

entitled "Empirical constants used in the text and calculations." As 

stated in the original article, no significance is to be attached to 

the forms of equations 9 and 10 except to say that they provide 

an adequate description of the apparent molal volume data.

The precision with which density may be calculated from these 

equations is 0.002 g cm- a . R. W. Potter II (oral commun., 1975) 

reported that the accuracy of the above equations may be as much
A10 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

as 0.006 g cm- 3 because of experimental errors in the measured 

densities used in the regression. These errors are due to corrosion 

of the pressure vessels and introduction of H2 [aq] and metal ions 

into the liquid solution by reaction with the vessel. The errors 

would be most significant at low sodium chloride concentrations 

and relatively negligible near halite saturation.

The specific volume v0 of H2 0 at Tx is calculated from equation 

11, which is modified from that given by Smith and Keyes (1934).

V0-

(cm3 g- 1 ) (ID

where 6= 647.27 -Tx. The constants vc and c5 through c9 are given 

in the section entitled "Units, symbols, and constants."

The density and specific volume of vapor-saturated NaCl liquids 

are given on figures 3 and 4, respectively. The contour interval is 

5 wt percent NaCl.

PARTIAL MOLAL VOLUME OF H2O IN THE LIQUID

The partial molal volume of H2 0 in the binary liquid system is 

given by equation 12:

= VL - NL ( cm3 mol -l ) (12)

i i i i i i i

Halite c ^ Licl uicl 

~~" r5i!yra tion

1.20

LU 

Q£

I 

LU

s 1.10

I 

LU

g i.oo

=3 

CJ

S 0.90

co^ 

« 0.80

z 

>-"

| 0.70

LU 

O

0.60

75.00 100.00 125.00 150.00 175.00 200.00 225.00 250.00 275.00 300.00 325.00

TEMPERATURE, IN DEGREES CELSIUS

FIGURE 3. Density of the liquid phase for vapor-saturated NaCl solutions 

from 0 wt percent to halite saturation at 80° to 325° C. Contour interval 

is 5 wt percent NaCl. The shaded zone was calculated by extrapolating the 

functions given in the text.

J____|____I____I
COMPONENT IN BOILING NaCl SOLUTIONS All

1.60

1.50

1.40

1 1.30

=? 1.20

1.10

0.90

0.80

Liquid + Gas

HaWe saturat.on

Liquid

75.00 100.00 125.00 150.00 175.00 200.00 225.00 250.00 275.00 300.00 325.00 

T£MPERATURE, IN DEGREES CELSIUS

FIGURE 4. Specific volume of the liquid phase for vapor-saturated NaCl solutions from 0 wt percent to halite saturation at 80° to 325° C. The contour 

interval is 5 wt percent NaCl. The shaded zone was calculated by extrapolation of the functions given in the text.

where VL is the volume of the liquid containing a total of one 

mole of molecules. The term N1-1 is the mole fraction of NaCl in the 

liquid and is given by equation 13 in terms of x, the molality of 

the solution.

NL =- - (13) 

1000/TFx + a;

Wi is the molecular weight of H2 0. The molal volume of an x 

molal solution of density d is given by equation 14.

v*-L

d

(cm3 mol" 1 )

By substitution of equation 7 into equation 14,

(cm3 mol" 1 )

1000/WV

(14)

(15)

Equation 12 was solved for the partial molal volume V, by using 

equations 13, 15, and 8 through 10 and standard analytical techniques.
A12 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

The partial molal volume of H2 0 in the liquid phase for vaporsaturated NaCl solutions from 0 wt percent to halite saturation 

is shown on figure 5. The contour interval is 5 wt percent NaCl.

PARTIAL MOLAL VOLUME OF H2O IN THE GAS

The partial molal volume of H2 0 in the gas is assumed to be 

the same as the molal volume of pure gaseous H2 0 at the temperature and pressure of the liquid. The specific volume of pure gaseous H2 0 was obtained from equation 16, which is attributed to 

Juza (1962) and given by Bain (1964, equation 41, p. 13) :

" * a f . , » / c \ A / \ / v i \ /1 /»\ 

 + <XO (T) +flT6ai(T) + (pT6 ) 4a2 (r) (cm3 g"1 ) (16)

<rO

V0 =

P

28.00

18.00

75.00 100.00 125.00 150.00 175.00 200.00 225.00 250.00 275.00 300.00 325.00 

TEMPERATURE, IN DEGREES CELSIUS

FIGURE 5. The partial molal volume of H20 in the liquid phase for vaporsaturated NaCl solutions from 0 wt percent to halite saturation at 80° to 

325° C. The contour interval is 5 wt percent NaCl. The shaded zone W3S 

calculated by extrapolation of the functions given in the text.
H20 COMPONENT IN BOILING NaCl SOLUTIONS A13

where T=5QQ/TX and the functions «I(T) are given by summations of the form :

6

(17)

The constants ai} are given in the foregoing section entitled "Empirical constants used in the text and calculations." 

The molal volume of the gas was obtained by multiplying the

specific volume v0 by the molecular weight of H2 0 :

V? = W^v° (cm3 mol- 1 ) (18)

The specific volume of the gas phase for vapor-saturated NaCl

solutions from 0 wt percent to halite saturation is given on figure

6. The contour interval is for 5 wt percent NaCl contained in the

coexisting liquid.

75.00 100.00 125.00 150.00 175.00 200.00 225.00 250.00 275.00 300.00 325.00 

TEMPERATURE, IN DEGREES CELSIUS

FIGURE 6. The specific volume of the gas phase for liquid-saturated NaCl 

solutions from 0 wt percent to halite saturation at 80° to 325° C. The contour interval is 5 percent NaCl contained in the coexisting liquid.
A14 PRELIMINARY STEAM TABLES FOR Nad SOLUTIONS

ENTHALPY FUNCTIONS

PARTIAL MOLAL ENTHALPY OF H2O IN THE GAS

The partial molal enthalpy of H2 0 in the gas is assumed to be 

the same as the molal enthalpy of pure H2 0 gas at the temperature and pressure of the liquid solution. Bain (1964) derived the 

specific enthalpy function for gaseous H2 0, equation 20, from 

equation 16 by using the relation given by equation 19.

,o o 1 h0 -h.= 

(20) 

5 dr |

where

h? = 1809.25 +1.48286 T + 3.79025x 10- 4 T2

+ 46.147 In T (Jg- 1 ) (21)

Because the gas is assumed to be H2 0 only, the partial molal 

enthalpy of H2 0 is:

H?=Wiho (Jmol- 1 ) (22)

ENTHALPY DIFFERENCE BETWEEN THE GAS AND THE LIQUID 

AT CONSTANT LIQUID COMPOSITION

From equation 2a the enthalpy difference, &Hi may be derived:

) (23)

FI and Y! are calculated by using equations 18 and 12, respectively. The following identity enables one to evaluate the partial derivative

Equation 6 gives the relation between pressure and temperature 

for H2 0. The derivative (ftp/ftT^ was obtained analytically from 

equation 6. Equation 3a, which is given below and which was derived from equation 3 by inserting the appropriate substitutions, 

gives the relation between the temperature of the solution Tx and 

the temperature of the reference substance T0 at the same pressure :
H2 0 COMPONENT IN BOILING NaCl SOLUTIONS A15

-In Tx (kelvins, K) <3a)

The partial derivative ('dT(l /'^Tx ) was derived analytically from 

equation 3a. The partial molal enthalpy difference A#, was calculated by inserting the appropriate functions into equation 23.

PARTIAL MOLAL ENTHALPY OF H.O IN THE LIQUID AT 

CONSTANT COMPOSITION

The partial molal enthalpy of H2 0 in the liquid was obtained by 

subtracting the enthalpy of vaporization from the partial molal 

enthalpy of H2 0 in the gas :

(Jmol- 1 ) (25) 

Figure 7 shows the partial molal enthalpy of H2 0 in the 

liquid (lower curves) and the gas (upper curves) for vaporsaturated NaCl solutions from 0 wt percent to halite saturation. 

The contour interval is 5 wt percent NaCl contained in the liquid 

phase.

ENTROPY FUNCTIONS

PARTIAL MOLAL ENTROPY OF H2O IN THE GAS

Bain (1964), using the relation given in equation 26, derived 

the entropy of pure gaseous H2 0, equation 27, from equation 16, 

above.

(26)

s0 + In p 

10

where

s0 + In p 

10

#1

s0 + In p = 

10

1" /^

5

T

5000

G 24

p^l + J^pV

dr 2

tt<*2 24«.> + T 

<*T _

/L« 1 ) (27)

= -1.5535+ 1.48286 In 71 + 7.85050xlO- 4 71 -46.147/71

(Jg-'K- 1 ) (28)

Because the gas is assumed to be H2 0 only, the partial molal 

entropy of H2 0 is:

(29)
A16 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

55.00

.

75.00 100.00 125.00 150.00 175.00 200.00 225.00 250.00 275.00 300.00 325.00 

TEMPERATURE, IN DEGREES CELSIUS

FIGURE 7. The partial molal enthalpy of H2 0 in the liquid (lower curves) 

and the gas (upper curves) for vapor-saturated NaCl solutions from 0 wt 

percent to halite saturation at 80° to 325° C. The contour interval is 5 

wt percent NaCl contained in the liquid. The shaded zone was calculated 

by extrapolation of the density and vapor pressure functions given in the 

text

ENTROPY DIFFERENCE BETWEEN THE GAS AND THE LIQUID 

AT CONSTANT LIQUID COMPOSITION

At equilibrium between the gas and the liquid, the free-energy 

difference is zero. Therefore, the entropy difference was calculated from:

&= 

T.

(30)
H20 COMPONENT IN BOILING NaCl SOLUTIONS A17

PARTIAL MOLAL ENTROPY OF H2O IN THE LIQUID AT CONSTANT

COMPOSITION

Similar to the calculation of the partial molal enthalpy of H2 0 

in the liquid, which is given above, the partial molal entropy of 

H2 0 in the liquid was calculated from the following relation:

S? = 5?-A£ (Jmol^K- 1 ) (31) 

Figure 8 shows the partial molal entropy of H2 0 in the liquid 

(lower curve) and the gas (upper curve) for vapor-saturated 

NaCl solutions. The contour interval is 5 wt percent NaCl contained in the liquid phase.

140.00

U20.00

^100.00

o 80.00

60.00

40.00

 a: 

o

20.00

0.00

i i i I I I 

Haiite

Liquid + Gas

Liquid

75.00 100.00 125.00 150.00 175.00 200.00 225.00 250.00 275.00 300.00 325.00 

TEMPERATURE, IN DEGREES CELSIUS

FIGURE 8. The partial molal entropy of H2 0 in the liquid (lower curves) and 

the gas (upper curves) for vapor-saturated NaCl solutions from 0 wt 

percent to halite saturation at 80° to 325° C. The contour interval is 5 wt 

percent NaCl contained in the liquid. The shaded zone (temperatures 

greater than 300° C or concentration greater than 30 wt percent) on the 

lower curves was calculated by extrapolation of the density and vapor 

pressure functions given in the text. In the gas phase, the partial molal 

entropy increases with NaCl concentration. In the liquid phase, the contours cross over so that at low temperature the halite-saturated liquid has 

the highest partial molal entropy, whereas at high temperatures, the Hi-0- 

rich liquid has the highest partial molal entropy. For details, the reader is 

referred to the data given in the tables.
A18 PRELIMINARY STEAM TABLES FOR Nad SOLUTIONS 

COMPOSITION OF THE LIQUID AT HALITE SATURATION

R. W. Potter, II (written commun., 1975) kindly supplied the 

following function for the concentration of a solution that is both 

vapor and halite saturated. The analysis is based upon published 

data between 0° and 455° C and Potter's recent measurements between 150° and 273° C. The standard error of estimate is 0.16 

wt percent.

percent NaCl) (32)

THE REFERENCE STATE FOR ENTHALPY AND EN^RQPY

In the foregoing functions and in all calculations, the reference 

state was that of the liquid phase for H2 0 at 0 mol NaCl/kg H2 0 

at the ice-liquid-vapor triple point of 0.01° C. The entropy and 

enthalpy of liquid H2 0 was 0.0 by definition.

TABLES FOR NaCl SOLUTIONS

Tables 1 through 28 give the temperature, pressure, density 

of the liquid, and the specific volumes of the liquid and the gas at 

constant composition and 5° intervals between 80° C (or at the 

5° interval just above halite saturation) and 325° C. The partial 

molal quantities of entropy and enthalpy for H2 0 in the gas and 

the liquid and of the volume for H2 0 in the liquid are also presented. Concentrations are given in both mol NaCl/kg H2 0 (molal 

NaCl) and weight percent NaCl. Tables 3, 6, 10, 13, 17, 21, and 26 

give the data at 5, 10, 15, 20, 25, 30, and 35 wt percent NaCl, respectively. The other tables give the data at intervals of 0.5 mol 

NaCl/kg H2O.

Tables 29 and 30 give the same data but at the given concentration on the halite saturation equilibrium between 80° and 325° C. 

Table 29 is in concentration units of wt percent NaCl and table 

30 in mol NaCl/kg H2 0.

The tables were calculated using the functions that are given 

in the preceding section. Data contained within parentheses were 

calculated by extrapolation of the functions beyond their range.

A detailed analysis of the accuracy and precision of the tabulated data is not possible in this preliminary report. Seven semitheoretical or empirical equations were used to prepare the tables :

Equation Property Source

(6) Po Bain (1964) 

(3) Tx at px=pv This report

(11) v*(=l/do) Smith and Keyes (1934) 

(7) fc Haas (1970)

(16) vo Juza (1962, cited in Bain, 1964)
H20 COMPONENT IN BOILING Nad SOLUTIONS A19

Equation Property Source

(21) fcj(atpo=0) Bain (1964) 

(28) [so-(fl/10)lnp]* Bain (1964)

For the pure H2 0 component, Bain (1964) gave no estimate 

for either the precision or accuracy of equations 6, 16, 21, and 

28, except that the equations reproduce very closely the International Skeleton Tables of the Thermodynamic Properties of Water 

Substance, 1963 (Meyer and others, 1967). In the temperature 

range of this report, 80° to 325° C, the value for the accuracy of 

the International Skelton Tables is less than or equal to the percentages tabulated below:

pressure 0.05 percent 

volume of the liquid 0.05 percent 

volume of the gas 0.2 percent 

enthalpy of the liquid 0.08 percent 

enthalpy of the gas 0.2 percent 

Smith and Keyes (1934) reported the accuracy of equation 11 

as one part in 2,000 which is consistent with the above tabulation.

For the liquids in the H2 0-NaCl system, the density of the solution is calculated using equation 7 with an accuracy of about 

0.006 g/cm ! , and the vapor pressure with an estimated accuracy 

of 0.6 percent. No accuracy for the partial molal quantities for

H2 0 in the liquid (V-i , HI, and Si ) can be estimated because 

these properties were calculated in part by the partial differentiation of equations 3 and 7.

In the tables, data are given with as many as six digits. This is 

particularly true for data for entropy and enthalpy, where most 

of the value represents the relative difference in the property between T and 0.01°C and only a minor part of the value is due to 

change in concentration. The number of digits reported in the 

tables is governed by the need to have a reasonable resolution in 

the property when small changes in concentration or temperature 

are considered.

REFERENCES CITED

Bain, R. W., 1964, Steam tables, 1964: Edinburgh, H. M. Stationery Office, 

147 p.

Commission on Atomic Weights, 1972, Atomic weights for 1971: Pure and 

Appl. Chemistry, v. 30, p. 637-649.

Committee on Data for Science and Technology, 1973, Recommended consistent values of the fundamental physical constants, 1973: CODATA 

Bull. 11, p. 1-8.
A20 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

Dalton, B. J., and Barieau, R. E., 1968, Equations for calculating various

thermodynamic functions of a two-component system from an empirical

equation of state, including liquid-vapor equilibria data: U.S. Bur. Mines

Rept. Inv. 7076, 69 p. 

Gardner, E. R., 1969, Osmotic coefficients of some aqueous sodium chloride

solutions at high temperature: Faraday Soc. Trans., v. 65, p. 91-97. 

Gardner, E. R., Jones, P. J.. and deNordwall, H, J., 1963, Osmotic coefficients

of some aqueous sodium chloride solutions at high temperature: Faraday

Soc. Trans., v. 59, p. 1994-2000. 

Haas, J. L., Jr., 1970, An equation for the density of vapor-saturated NaClH20 solutions from 75° to 325° C: Am. Jour. Sci., v. 269, no. 5, p. 489-

493. 

 1971a, Thermodynamic correlations for brines: NaCl-HaO liquid-vapor

equilibria [abs.] : Am. Geophys. Union Trans., v. 52', no. 4, p. 379.

1971b, The effect of salinity on the maximum thermal gradient of a

hydrothermal system at hydrostatic pressure: Econ. Geology, v. 66, no. 

6, p. 940-946.

Juza, J., 1962, Equation of state for saturated superheated steam: Prague, 

Czechoslovak Acad. Sci., Mechanical Engineering Research Inst.

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.

Lindsay, W. T., Jr., and others, 1968, Vapor-pressure lowering of aqueous 

solutions at elevated temperatures: U.S. Office Saline Water, Research 

and Devel. Prog. Rept. 347, 235 p.

Liu, C. T., and Lindsay, W. T., Jr., 1971, Thermodynamic properties of 

aqueous solutions at high temperatures: U.S. Office Saline Water, Research and Devel. Prog. Rept. 722, 124 p.

Meyer, C. A., McClintock, R. B., Silvestri, G. J., and Spencer, R. C., Jr., 1967, 

Thermodynamic and transport properties of steam: New York, Am. Soc. 

Mechanical Engineers, 328 p.

Momicchioli, F., Devoto, 0., Grandi, G., and Cocco, G., 1970, Thermodynamic 

properties of concentrated solutions of strong electrolytes. I. Activity coefficients of water from freezing-point depressions for alkali chlorides: 

Bunsengesell. Phys. Chemie Berichte, v. 74, p. 59-66.

Natl. Acad. Sci., 1974, Conf. on Thermodynamics and National Energy Problems: Washington, D.C., Natl. Acad. Sci., 424 p.

Natl. Research Council, 1928, International critical tables of numerical data, 

physics, chemistry, and technology: New York, McGraw-Hill, v. 3, 444 p.

Othmer, D. F., and Chen, H. T., 1968, Correlating and predicting thermodynamic data: Indus. Eng. Chemistry, v. 60, no. 4, p. 39-61; reprinted 

in Am. Chem. Soc., Applied Thermodynamics: Washington, D.C., Am. 

Chem. Soc., p. 115-139, 1968.

Othmer, D. F., and Yu, E. S., 1968, Correlating vapor pressures and vapor 

volumes. Use of reference substance equations: Indus. Eng. Chemistry, 

v. 60, no. 1, p. 22-35.

Robinson, R. A., and Stokes, R. H. 1959, Electrolyte solutions [2d ed., rev. 

1970]: London, Butterworths, 571 p. (Especially p. 478 and 481.)

Smith, L. B., and Keyes, F. G., 1934, The volumes of unit mass of liquid 

water and their correlation as a function of pressure and temperature. 

Part III, Steam research program: Am. Acad. Arts Sci. Proc., v. 69, p. 

285-312.
H20 COMPONENT IN BOILING NaCl SOLUTIONS A21

Smith, R. P., 1939, The boiling point elevation. II. Sodium chloride 0.05 to

1.0 M and 60 to 100°: Am. Chem. Soc. Jour., v. 61, p. 500-503. 

Smith, R. P., and Hirtle, D. S., 1939, The boiling point elevation. III. Sodium

chloride 1.0 to 4.0 M and 60 to 100°: Am. Chem. Soc. Jour., v. 61, p. 1123-

1126. 

Sourirajan, S., and Kennedy, G. C., 1962, The system H2 0-NaCl at elevated

temperatures and pressures: Am. Jour. Sci., v. 260, no. 2, p. 115-141. 

U.S. Atomic Energy Commission, Ad Hoc Committee on Geothermal Chemistry,

1974, A recommended research program in geothermal chemistry: U.S.

Atomic Energy Comm., Pub. WASH-1344, 48 p.

TABLES 1-30
Table 1

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bars)

0.474

0.578

0.701

0.845

1.013

1.208

1.433

1.691

1.985

2.321

2.701

3.131

3.614

4.155

4.760

5.433

6.180

7.008

7.920

8.925

10.027

11.234

12.552

13.989

d

(g cm" )

0.972

0.969

0.965

0.962

0.958

0.955

0.951

0.947

0.943

0.939

0.935

0.931

0.926

0.922

0.917

0.912

0.907

0.902

0.897

0.892

0.887

0.882

0.876

0.870

vL

0.0000 mol /kg HaO

vG

(cm g" )

1.029

1.032

1.036

1.040

1.043

1.047

1.052

1.056

1.060

1.065

1.070

1.075

1.080

1.085

1.091

1.096

1.102

1.108

1.114

1.121

1.127

1.134

1.141

1.149

3410.009

2829.681

2362.110

1982.993

1673.840

1420.061

1210.662

1036.958

892.126

770.773

668.616

582.229

508.861

4*6.292

392.719

346.673

306.950

272.561

242.689

216.655

193.894

173.934

156.380

140.897

V L

(cm mol

18.54

18.60

18.66

18.73

18.80

18.87

18.94

19.02

19.10

19.19

19.27

19.36

19.45

19.55

19.65

19.75

19.85

19.96

20.08

20.19

20.31

20.44

20.56

20.70

0.00 w' perce

gf*

l)

19.296

20.356

21.405

22.443

23.465

24.480

25.479

26.467

27.4**

28.409

29.365

30.311

31.248

32.177

33.097

34.009

34.9|4

35.811

36.703

37.587

38.466

39.3*0

*0.2U8

41.072

(J m

117

115

113

111

109

106

10*

102

100

99

97

95

93

91

90

88

86

8*

83

81

80

78

76

75
ZOO.

205.

210.

215.

220.

225.

230.

235.

2*0.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

15.551

17.245

19.080

21.063

23.201

25.504

27.979

30.635

33.480

36.524

39.776

43.245

46.940

50.872

55.051

59.487

64.192

69.175

74.449

80.025

85.917

( 92.136)

( 98.697)

(105.612)

(112.899)

(120.571)

0.865

0.859

0.853

0.847

0.840

0.834

0.827

0.821

0.814

0.807

0.799

0. 792

0.784

0.776

0.768

0.759

0.751

0.742

0.732

0.723

0.712

0.702

0.691

0.679

0.667

0.654

1.157

1.164

1.173

1.181

1.190

1.199

1.209

1.219

1.229

1.240

1.251

1.263

1.275

1.289

1.302

1.317

1.332

1.348

1.365

1.384

1.404

1.425

1.447

1.472

1.499

1.529

127.205

115.063

104.270

94.651

06.059

78.365

71.461

65.252

59.656

54.602

50.028

45.881

42.113

38.684

35.557

32.701

30.087

27.692

25.493

23.471

21.609

( 19.892)

( 18.306)

( 16.839)

( 15.481)

( 14.222)

20. S3

20.98

21.13

21.28

21. 4*

21.60

21.78

21. 9b

22.14

22.34

22.54

22.75

22.98

23.21

23.46

23.72

24.00

24.29

24.60

24. 9J

25.28

25.67

26.08

26.52

27.01

27.54

41.931

42.786

43.637

44.485

45.330

46.172

47.011

47.8*8

48.684

49.518

50.352

51.184

52.016

52.849

53.682

54.516

55.352

56.189

57.030

57.874

58.722

(59.576)

(60.436)

(61.304)

(62.181)

(63.070)

73

72

70

69

67

66

64

63

61

60

59

57

56

54

53

51

50

40

47

4b

44

( 42

( 40

( 39

( 37

( 35

NOTE. Data contained in parentheses were calculated by extrapolation of the functio
Table 2 .

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bars)

0.465

0.568

0.689

0.831

0.996

1.187

1.408

1.662

1.951

2.281

2.655

3.077

3.552

4.084

4.679

5.341

6.076

6.889

7.786

8.773 ,

9.857

11.044

12.340

13.752

d

(g cm" )

0.991

0.988

0.985

0.981

0.978

0.974

0.971

0.967

0.963

0.959

0.955

0.951

0.947

0.942

0.938

0.933

0.928

0.924

0.919

. 0.914

0.909

0.904

0.898

0.893

0.5000 mol/kg H O

vL

(cm

1.009

1.012

1.015

1.019

1.023

1.026

1.030

1.034

1.038

1.043

1.047

1.052

1.056

1.061

1.066

1.072

1.077

1.083

1.088

1.094

1.100

1.107

1.113

1.120

vG

3 -1.

g )

3470.353

2879.771

2403.942

2018.133

1703.413

14*5.272

1232.184

1055.421

908.040

784.553

68U.599

592.693

518.036

454.367

399.853

352.998

312.577

277.584

247.187

220.695

197.534

177.224

159.361

143.606

VL

3

(cm mol

18.53

18.59

18.66

18.72

18.79

18.86

18.94

19.01

19.09

19.18

19.26

19.35

19.44

19.54

19.64

19.74

19.84

19.95

20.06

20.18

20.30

20.42

20.55

20.68

2.84 wt percent

?

l )

19.415

20.472

21.519

22.554

23.580

24.587

25.584

26.569

27.542

28.505

29.458

30.401

31.335

32.259

33.176

34.084

34.985

35.878

36.765

37.645

38.519

39.388

40.251

41.109

AS

(J mol 

117.8

115.5

113.3

111.1

1U9.0

106.9

104.9

102.9

101.0

$9.1

97.2

95.4

93.6

91.8

90.1

88.43

86.7

85.0

83.4

81.8

80.2

78.6

77.1

75.5
200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

15.287

16.953

Id. 756

20.705

22.808

25.071

27.504

30.114

32.911

35.902

39.098

42.507

46.138

50.002

54.108

58.460

63.068

67.983

73.163

78.640

84.426

( 90.533)

( 96.974)

(103.763)

(110.914)

(118.444)

0.887

0.882

0.876

0.870

0.864

0.858

0.852

0.845

0.839

0.832

0.825

0.818

0.811

0.803

0.795

0.787

0.779

0.771

0.762

0.753

0.744

0.734

0.723

0.713

0.701

0.689

1.127

1.134

1.142

1.149

1.157

1.166

1.174

1.183

1.192

1.202

1.212

1.223

1.234

1.245

1.257

1.270

1.283

1.297

1.312

1.328

1.345

1.363

1.382

1.403

1.436

1.451

129.673

117.318

106.335

96.547

87.804

79.976

72.950

66.633

60.939

55.796

51.143

46.924

43.092

39.604

36.423

33.519

30.862

28.426

26.191

24.136

22.244

( 20.499)

( 18.889)

( 17.399)

I 16.020)

( 14.742)

20.82

20.96

21.10

21.26

21.41

21.58

21.75

21.93

22.11

22.31

22.51

22.72

22.94

23.17

23.42

23.68

23.95

24.24

24.55

24.87

25.22

25.60

26.01

26.45

26.93

27.45

41.962

42.811

43.656

44.497

45.335

46.170

47.002

47.831

48.658

49.484

50.308

51.130

51.953

52.774

53.596

54.418

55.2*1

56.065

56.892

57.721

58.554

(59.391)

(60.233)

(61.003)

(61.940)

(62.808)

74.058

72.546

71.046

69.557

68.078

66.607

65.144

63.686

62.233

60.784

59.336

57.889

56.441

54.991

53.537

52.078

50.611

49.136

47.651

46.153

44.641

( 43.112)

I 41.564)

( 39.996)

( 38.403)

( 36.783)

NOTE. Data contained in parentheses were calculated by extrapolation of the functions 
Table 3 .

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bars)

0.459

0.560

0.679

0.819

0.982

1.171

1.388

1.638

1.924

2.249

2.618

3.034

3.502

4.027

4.613

5.266

5.991

6.792

7.677

8. 651

9.719

10.889

12.167

13.559

d

_

(g cm" )

1.006

1.003

1.000

0.996

0.993

0.989

0.986

0.982

0.978

0.974

0.970

0.966

0.962

0.958

0.953

0.949

0.944

0.940

0.935

0.930

0.925

0.920

0.915

0.910

0.

VL

. 3

(cm |

0.994

0.997

1.000

1.004

1.007

1.011

1.014

1.018

1.022

1.026

1.030

1.035

1.039

1.044

1.049

1.054

1.059

1.064

1.070

1.075

1.081

1.087

1.093

1.099

9006 mol /kg HgO

vG

, S~ )

3520.028

2921.048

2438.449

2047.148

1727.946

1466.129

1250.004

1070.722

921.239

795.990

690.553

601.392

525.669

461.090

405.796

358.271

317.272

281.778

250.944

224.073

200.579

179.977

161.857

145.876

VL

3 -1

(cm mol )

18.52

18.58

18.65

18.71

18.78

18.85

18.93

19.00

19.08

19.16

19.25

19.34

19.43

19.52

19.62

19.72

19.82

19.93

20.04

20.15

20.27

20.39

20.52

20.65

5.00 wt percent

?

19.520

20.575

21.620

22.654

23.677

24.682

25.677

26.660

27.631

28.592

29.542

30.482

31.413

32.335

33.248

34.153

35.051

35.941

36.824

37.700

38.570

39.435

40.293

41.147

AS,

,

(J mol 

117.86

115.58

113.36

111.19

109.07

107.00

104.98

103.00

101.07

99.17

97.31

95.48

93.69

91.93

90.20

88.50

86.82

85.17

83.54

81.94

80.35

78.78

77.23

75.70
ZOO.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

15.073

16.715

IB. 493

20.415

22.487

24.718

27.116

29.689

32.446

35.395

3B.S44

41.904

45.483

49.290

53.336

57.631

62.184

67.007

72.110

77.505

83.203

( 89.218)

( 95.561)

(102.245)

(109.286)

(116.697)

0.904

0.899

0.893

0.888

0.882

0.876

0.870

0.864

0.857

0.851

0.844

0.837

O.H30

0.823

0.816

0.808

0.801

0.793

0.784

0.776

0.767

0.757

0.748

0.738

0.727

0.716

1.106

1.112

1.119

1.127

1.134

1.142

1.150

1.158

1.166

1.175

1.184

1.194

1.204

1.215

1.226

1.237

1.249

1.262

1.275

1.289

1.304

1.320

1.337

1.356

1.375

1.397

131.742

119.209

108.068

98.139

89.269

81.328

74.202

67.793

62.017

56.801

52.081

47.802

43.914

40.377

37.152

34.207

31.512

29.043

26.777

24.694

22.777

I 21.009)

( 19.377)

( 17.868)

( 16.472)

( 15.178)

20.79

20.93

21.07

21.22

21.38

21.54

21.71

21.84

22.07

22.26

22.46

22.67

22.89

23.12

23.36

23.62

23.88

24.17

24.47

24.79

25.14

25.51

25.91

26.34

26.81

27.33

41.995

42.839

43.679

44.515

45.347

46.175

47.001

47.624

48.644

49.462

50.278

51.093

51.907

52.720

53.S32

54.344

55.157

55.970

56.785

57.602

58.421

(59.244)

(60.072)

(60.906)

(61.747)

(62.597)

74.19

72.68

71.19

69.71

68.24

66.78

65.33

63.89

62.45

61.01

59.58

58.15

56.72

55.28

53.85

52.41

50.96

49.51

48.05

46.58

45.10

43.60

42.08

40.55

38.99

37.41

NOTE. Data contained in parentheses -were calculated by extrapolation of the functio
Table 4

t

<°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bare)

0.457

0.558

0.677

0.816

0.979

1.167

1.384

1.633

1.917

2.241

2.609

3.024

3.490

4.013

4.597

5.248

5.909

6.768

7.650

8.620

9.685

10.850

12.124

13.511

d

(g cm' )

1.010

1.606

1.003

1.000

0.997

0.993

0.990

0.986

0.982

0.978

0.974

0.970

0.966

0.962

0.957

0.953

0.948

0.944

0.939

0.934

0.929

0.924

0.919

0.914

L

V

1.0000 mol /kg HaO

vG

(cm g )

0.991

6.994

6.997

1.000

1.003

1.007

1.011

1.014

1.018

1.022

1.027

1.031

1.035

1.040

1.045

1.050

1.055

1.060

1.065

1.071

1.076

1.082

1.088

1.094

3532.610

2931.507

2447.195

2054.505

1734.168

1471.420

1254.527

1074.606

924.591

798.896

693.082

603.603

527,609

462.800

407.308

359.612

318.466

282.845

251.901

224.932

201.355

180.678

162.493

146.454

V L

(cm mol

18.52

18.58

18.64

18.71

18.78

18.85

18.92

19.00

19.08

19.16

19.25

19.33

19.42

19.52

19.61

19.71

19.82

19.92

20.03

20.15

20.27

20.39

2U.51

20.64

5.52 wt percent

SL

S

19.547

20.602

21.646

22.679

23.703

24.707

25.701

26.683

27.654

28.614

29.564

30.503

31.434

32.355

33.267

34.171

35.068

35.957

36.839

37.715

38.584

39.447

40.305

41.157

AS

(Jmol^

117.86

115.59

113.37

111.20

109.08

107.0

104.99

103.0

101.07

99.18

97.32

95.49

93.70

91.94

90.22

88.51

86.84

85.19

83.56

81.96

80.37

78.81

77.26

75.73
200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

15.019

16.655

18.427

20.342

22.407

24.630

27.019

29.533

32.329

35.267

38.405

41.752

45.318

49.111

53.142

57.421

61.957

66.762

71.845

77.220

82.896

( 88.887)

( 95.206)

(101.864)

(108.877)

(116.259)

0.909

0.903

0.898

0.892

0.886

0.880

0.874

0.868

0.862

0.855

0.849

0.842

0.835

0.828

0.821

0.813

0.806

0.798

0.790

0.781

0.772

0.763

0.754

0.744

0.733

0.722

1.101

1.107

1.114

1.121

1.128

1.136

1.144

1.152

1.160

1.169

1.178

1.187

1.197

1.207

1.218

1.229

1.241

1.253

1.267

1.280

1.295

1.310

1.327

1.345

1.364

1.385

132.269

119.691

108.509

98.544

89.643

81.673

74.521

68.088

62.292

57.057

52.320

48.025

44.124

40.574

37.338

34.382

31.678

29.201

26.927

24.837

22.913

( 21.139)

( 19.501)

( 17.988)

( 16.587)

( 15.288)

20.78

20.92

21.06

21.21

21.37

21.53

21.70

21.88

22.06

22.25

22.45

22.66

22.87

23.10

23.34

23.60

23.87

24.15

24.45

24.77

25.11

25.48

25.88

26.31

26.77

27.29

42.004

42.847

43.686

44.520

45.350

46.178

47.002

*7.823

48.641

49.458

50.272

51.085

51.896

52.707

53.517

54.326

55.136

55.947

56.759

57.572

58.J89

(59.208)

(60.033)

(60.862)

(61.699)

(62.545)

74.22

72.72

71.23

69.75

68.29

66.8

65.3

63.9

62.50

61.0

59.6

58.21

56.7

55.36

53.93

52.4

51.0

49.61

48.15

46.6

45.2

( 43.72

( 42.21

( 40.69

( 39.14

( 37.57

NOTE. Data contained in parentheses were calculated by extrapolation of the functio
Table S

t

NaCl concentration:

P d

(°C) (bars) (g cm" )

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

0.449

0.548

0.665

0.802

0.961

1.146

1.359

1.603

1.883

.027

.024

.021

.018

.015

.011

.008

.004

.000

2.201 0.996

2.562 0.992

2.969 0.988

3.427 0.984

3.941 0.980

4.514 0.976

5.153 0.972

5.862 0.967

6.646 0.963

7.512 0.958

8.464 0.953

9.510 0.949

10.654 0.944

11.904 C1.939

13.266 0.934

1.5000 mol /kg H O

vL VG

(cm g" )

0.973

6.976

6.979

9.982

0.986

0.989

0.992

0.996

i.ooo

.004

.008

.012

.016

.020

.025

.029

.034

1.039

1.044

1.049

1.054

1.060

1.065

1.071

3597.751

2985.664

2492.494

2092.613

1766.405

1498.839

1277.965

1094.739

941.966

813.958

706.197

615.068

537.673

471.667

415.150

366.572

324.664

288.382

256.865

229.395

205.379

184.318

165.794

149.455

VL

(cm mol

18.51

16.57

18.63

18.70

18.76

18.83

18.91

18.98

19.06

19.14

19.22

19.31

19.40

19.49

19.59

19.68

19.79

19.89

20.00

20.11

20.23

20.35

20.47

20.60

8.06 wt percent

s^-

l)

19.688

20.741

21.782

22.813

23.833

24.836

25.827

26.807

27.775

28.732

29.678

30.614

31.541

32.458

33.367

34.267

35.159

36.044

36.921

37.792

38.656

39.514

40.366

41.212

AS,

(Jmol

117.881

115.610

113.393

111.227

109.110

107.047

105.030

103.056

101.124

99.232

97.378

95.559

93.774

92.021

90.298

88.603

86.936

85.293

83.675

82.078

80.503

78.947

77.409

75.889
200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

14.746

16.353

18.092

19.971

21.998

24.160

26.525

29.041

31.737

34.620

37.699

40.983

44.481

4.6.203

52.157

56.354

60.803

65.515

70.500

75.770

81.335

( 87.208)

( 93.401)

( 99.926)

(106.797)

(114.029)

0.929

0.923

0.918

0.913

0.907

0.901

0.896

0.890

0.884

0.878

0.871

0.865

0.858

0.852

0.845

0.838

0.631

0.823

0.816

0.808

0.800

0.791

0.782

0.773

0.764

0.754

1.077

1.083

1.089

1.096

1.103

1.109

1.117

1.124

1.132

1.139

1.148

1.156

1.165

1.174

1.184

1.193

1.204

1.215

1.226

1.238

1.251

1.364

1.278

1.293

1.310

1.327

135.006

122.192

110.802

100.650

91.582

83.463

76.176

69.624

63.719

58.386

53.561

49.186

45.213

41.597

38.301

35.291

32.537

30.015

27.700

25.573

23.615

21.810)

20.144)

18.604)

17.179)

15.859)

20.73

20.87

21.01

21.16

21.31

21. 47

21.64

21.81

21.99

22.17

22.37

22.57

22.79

23.01

23.25

23.49

23.76

24.03

24.33

24.64

24.97

25.33

25.71

26.13

26.58

27.07

42.054

42.890

43.722

44.549

45.372

46.192

47.008

47.821

48.630

49.438

50.242

51.045

51.846

52.645

53.443

54.240

55.637

55.834

56.631

57.429

58.229

(59.031)

(59.836)

(60.646)

(61.462)

(62.285)

74.304

72.894

71.418

69.954

68.501

67.058

65.623

64.197

62.777

61.362

59.951

58.543

57.137

55.731

54.325

52.916

51.504

50.086

48.662

47.230

45.788

( 44.334

( 42.667

( 41.384

( 39.883

( 38.362

NOTE. Data contained in parentheses were calculated by extrapolation of the function
Table 6 .

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bars)

0.442

0.540

0.655

0.790

0.947

1.129

1.338

1.579

1.855

2.168

2.524

2.925

3.376

3.882

4.447

5.076

5.774

6.547

7.399

8.337

9.367

10.494

11.725

13.066

d

(g cm" )

1.041

1.038

1.035

1.032

1.029

1.025

1.022

1.018

1.014

1.011

1.007

1.003

0.999

0.995

0.990

0.986

0.982

0.977

0.973

0.968

0.963

0.959

0.954

0.949

1.9012 mol/kg HgO

vL

(cm |

0.960

0.963

0.966

0.969

0.972

0.975

0.979

0.982

0.986

0.990

0.993

0.997

1.001

1.006

1.010

1.014

1.019

1.023

1.028

1.033

1.038

1.043

1.048

1.054

vG

S~ )

3652.683

3031.329

2530.685

2124.739

1793.579

1521.949

1297.718

1111.705

956.607

826.649

717.245

624.726

546.149

479.135

421.754

372.432

329.882

293.044

261.043

233.151

208.766

187.380

168.571

151.981

VL

(cm mol )

18.50

18.56°

18.62

18.68

18.75

18.82

18.89

18.96

19.04

19.12

19.20

19.29

19.38

19.47

19.56

19.66

19.76

19.86

19.97

20.08

20.19

20.31

20.43

20.56

10.00 wt percent

SL

19.805

20.856

21.895

22.923

23.941

24.942

25.V31

26.909

27.874

28.828

29.772

30.706

31.629

32.5*4

33.449

34.346

35.235

36.116

36.990

37.856

38.716

39.570

40.417

41.259

AS,

(J mol" 1 K

117.894

115.626

113.412

111.249

109.135

107.075

105.060

103.090

101.162

99.273

97.423

95.609

93.828

92.080

90.362

88.673

87.011

85.374

83.762

82.172

80.603

79.055

77.525

76.013
200.

205.

210.

215.

220.

2:25.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

3U5.

310.

315.

320.

325.

14.524

16.106

17.819

19.670

21.665

23.814

26.123

28.601

31.254

34.093

37.124

40.357

43.801

47.464

51.356

55.487

59.865

64.502

69.407

74.592

80.067

( 85.844)

< 91.935)

( 98.352)

(105.108)

(112.218)

0.944

0.939

0.934

0.928

0.923

0.918

0.912

0.906

0.901

0.895

0.889

0.882

0.876

0.870

0.863

0.857

0.850

0.843

0.835

0.828

0.820

0.812

0.804

0.796

0.787

0.778

1.059

1.065

1.071

1.077

1.083

1.090

1.097

1.103

1.110

1.118

1.125

1.133

1.141

1.150

1.158

1.167

1.177

1.187

1.197

1.208

1.219

1.231

1.243

1.257

1.271

1.286

137.308

124.296

112.729

102.421

93.212

84.967

77.568

70.914

64.917

59.502

54.602

50.160

46.125

42.454

39.107

36.052

33.257

30.696

28.347

26.187

24.200

( 22.369)

( 20.679)

( 19.117)

( 17.672)

( 16.333)

20.69

20.82

20.96

21.11

21.26

21.42

21.58

21.75

21.92

22. ll

22.30

22.50

22.71

22.92

23.15

23.40

23.65

23.92

24.21

24.51

24.84

25.18

25.56

25.96

26.40

26.87

42.096

42.927

43.753

44.ST5

45.392

46.206

47.615

47.821

48.624

49.424

50.221

51.015

51.808

52.598

53.386

54.174

54.960

55.7*6

56.531

57.317

58.103

(58.692)

(59.683)

(60.477)

(61.276)

(62.081)

74.51

73.03

71.56

70.11

68.67

67.23

65.81

64.40

62.99

61.59

60.19

58.80

57.41

56.02

54.64

53.25

51.86

50.46

49.06

47.65

46.24

I 44.82

( 43.38

( 41.93

( 40.47

( 38.98

NOTE. Data contained in parentheses were calculated by extrapolation of the function
Table 7

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bare)

0.441

0.538

0.653

0.787

0.943

1.124

1.333

1.573

1.848

2.160

2.514

2.914

3.363

3.867

4.430

5.057

5.752

6.522

7.371

8.306

9.331

10.454

11.681

13.017

d

(g cm" )

1.045

1.042

1.638

1.035

1.032

1.029

1.025

1.621

1.018

1.614

1.010

1.006

1.002

0.998

0.994

0.990

0.985

0.981

0.976

0.972

0.967

0.962

0.957

0.953

VL

2.0000 mol/kg HgO

vG

(cm g" )

0.957

0.960

6.963

0.966

0.969

6.972

0.976

6.979

6.983

0.966

6.990

6.994

0.998

1.002

1.006

1.011

1.015

1.020

1.024

1.029

1.034

1.039

1.044

1.050

3666.627

3042.918

2540.375

2132.888

1800.470

1527.808

1302.725

1116.005

960.316

829.864

720.043

627.172

548.295

481.025

423.425

373.915

331.203

294.224

262.099

234.101

209.622

188.154

169.273

152.619

VL

a 

(cm mol

18.50

18.55

18.61

18.68

18.74

18.81

18.88

18.96

19.04

19.11

19.20

19.28

19.37

19.46

19.55

19.65

19.75

19.85

19.96

20.07

20.18

20.30

20.42

20.55

10.47 wt percent

?

l)

19.833

20.884

21.923

22.950

23.968

24.969

25.957

26.934

27.899

28.852

29.795

30.728

31.651

32.565

33.470

34.366

35.254

36.134

37.067

37.872

38.731

39.584

40.430

41.271

AS

(J mol 

117.89

115.63

113.41

111.25

109.14

107.08

105.06

163.09

101.17

99.28

97.43

95.62

93.84

92.09

90.37

68.69

87.03

85.39

83.78

82.19

80.62

79.06

77.55

76.04
ZOO.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

14.469

16.045

17.751

19.595

21.583

23.723

26.024

28.491

31.135

33.962

36.982

40.202

43.633

47.281

51.158

55.272

59.633

64.251

69.137

74.300

79.753

( 85.506)

( 91.572)

( 97.963)

(104.691)

(111.771)

0.948

0.943

0.937

0.932

0.927

0.921

0.916

0.910

0.905

0.899

0.893

0.887

0.880

0.874

0.868

0.861

0.854

0.847

0.840

O.B33

0.825

0.818

0.810

0.801

0.793

0.783

1.055

1.061

1.067

1.073

1.079

1.085

1.092

1.099

1.106

1.113

1.120

1.128

1.136

1.144

1.153

1.161

1.171

1.180

1.190

1.201

1.212

1.223

1.235

1.248

1.262

1.276

137.889

124.828

113.216

102.868

93.624

85.347

77.919

71.239

65.219

59.7B3

54.865

50.405

46.355

42.670

39.311

36.243

33.438

30.867

28.509

26.342

24.347

( 22.509)

( 20.813)

( 19.245)

( 17.795)

( 16.452)

20.68

20.81

20.95

21.10

21.25

21.40

21.56

21.73

21.90

22.09

22.28

22.48

22.68

22.90

23.13

23.37

23.63

23.89

24.18

24.48

24.80

25.15

25.52

35.92

26.35

26.82

42.106

42.936

43.761

44.581

45.398

46.209

47.017

47.822

48.623

49.421

50.216

51.008

51.798

52.586

53.373

54.158

54.941

55.724

56.507

57.290

58.073

(58.658)

(59.645)

(60.436)

(61.230)

(62.031)

74.54

73.07

71.60

70.15

68.71

67.28

65.86

64.45

63.05

61.65

60.26

58.87

57.48

56.10

54.71

53.33

51.94

50.55

49.16

47.76

46.35

( 44.93

( 43.51

( 42.07

( 40.61

( 39.14

NOTE. Data contained in parentheses were calculated by extrapolation of the functio
Table 8 ,

t

(°C)

80.

H5.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bare)

0.432

0.528

0.640

0.771

0.925

1.102

1.307

1.543

1.812

2.118

2.465

2.857

3.298

3.79*

4.344

4.959

5.641

6.396

7.229

8.145

9.151

10.252

11.454

12.765

d

(g cm" )

1.061

1.658

1.055

1.052

1.049

1.045

1.042

1.038

1.035

1.031

1.027

1.023

1.019

1.015

1.011

1.007

1.002

0.998

0.994

0.989

0.985

0.980

0.975

0.971

2.

VL

(cm

0.942

0.945

0.948

0.951

0.954

0.957

0.960

6.963

6.967

0.970

6.974

6.977

0.981

6.985

0.989

0.993

0.998

1.002

1.006

1.011

1.016

1.020

1.025

1.030

,5000 mol /kg HaO

vG

g' 1)

3740.002

3103.867

2591.311

2175.704

1836.660

1558.565

1328.995

1138.554

979.763

846.710

734.700

639.977

559.528

490.916

432.166

381.668

338.102

300.385

267.618

239.060

214.091

1V2.193

172.933

155.945

VL

(cm mol )

18.48

18.54

18.60

18.66

18.72

18.79

18.86

18.93

19.01

19.09

19.17

19.25

19.34

19.42

19.52

19.61

19.71

19.81

19.91

20.02

20.13

20.25

20.37

20.49

12.75 wt percent

SL

19.977

21.025

22.061

23.086

24.101

25.100

26.085

27.059

28.021

28.972

29.912

30.841

31.760

32.670

33.571

34.463

35.347

36.223

37.091

37.951

38.805

39.653

40.493

41.328

A

(Jmor

117.92

115.65

113.44

111.29

109.18

107.12

105.11

103.15

101.22

99.34

97.50

95.69

93.91

92.17

90.46

88.78

87.13

85.50

83.90

82.31

80.76

79.22

77.70

76.20
200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

14.189

15.734

17.407

19.215

21.164

23.262

25.517

27.936

30.528

33.299

36.259

39.416

42.777

46.353

50.152

54.183

58.456

62.980

67.766

72.823

78.163

( 83.797)

( 89.736)

( 95.992)

(102.578)

(109.506)

0.966

0.961

0.956

0.951

0.946

0.940

0.935

0.930

0.924

0.919

0.913

0.907

0.901

0.895

O.U89

O.b83 

0.877

0.870

0.864

0.857

0.850

0.843

0.835

0.828

0.820

0.812

1.035

1.041

1.046

1.052

1.058

1.063

1.069

1.076

1.082

1.089

1.095

1.102

1.109

1.117

1.125

1.132

1.141

1.149

1.158

1.167

1.177

1.187

1.197

1.208

1.219

1.232

140.920

127.597

115.752

105.196

95.766

87.322

79.745

72.931

66.790

61.245

56.228

51.679

47.548

43.790

40.364

37.235

34.375

31.754

29.349

27.140

25.107

23.234)

21.505)

19.908)

18.431)

17.062)

20.62

20.75

20.88

21.02

21.17

21.32

21.48

21.64

21.81

21.99

22.17

22.37

22.57

22.78

23.00

23.23

23.48

23.74

24.01

24.30

24.61

24.94

25.29

25.68

26.09

26.53

42.1bB

42.981

43.800

44.613

45.422

46.226

47.027

47.823

48.615

49.404

50.190

50.972

51.752

52.529

.53.304

54.077

54.848

55.617

56.386

57.153

57.921

(58.689)

(59.458)

(60.230)

(61.004)

(61.782)

r*.r*o

73.252

71.799

70.359

68.932

67.516

66.111

64.715

63.327

61.946

60.571

59.202

57.836

56.474

55.113

53.753

52.392

51.030

49.664

48.295

46.920

( 45.53?

( 44.146

( 42.745

( 41.332

( 39.904

NOTE. Data contained in parentheses were calculated by extrapolation of the function
Table 9.

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bare)

0.423

0.517

0.627

0.756

0.906

1.080

1.281

1.512

1.775

2.076

2.416

2.800

3.232

3.716

4.257

4.860

5.528

6.268

7.084

7.983

8.968

10.048

11.226

12.510

d

(g cm" )

1.077

1.074

1.671

1.068

1.065

1.061

1.058

1.054

1.051

1.047

1.043

1.039

1.035

1.031

1.027

1.023

1.019

1.015

1.610

1.006

1.602

0.997

0.992

0.988

3.

VL

(cm

0.928

6.931

0.933

0.936

0.939

6.942

0.945

0.948

6.952

6.955

6.959

0.962

0.966

6.969

0.973

6.977

0.981

0.985

0.990

0.994

0.998

1.003

1.008

1.012

0000 mol /kg Ha

vG

O

VL

14.92

SL

g ) (cm mol )

3818.591

3169.069

2645.737

2221.400

1875.242

1591.319

1356.943

1162.518

1000.408

864.578

750.230

653.533

571.407

501.366

441.394

389.845

345.374

306.872

273.425

244.273

218.785

196.433

176.773

159.432

18.46

18.52

18.58

18.64

18.70

18.77

18.83

18.91

18.98

19.06

19.13

19.22

19.30

19.3$

19.48

19.57

19.66

19.76

19.86

19.97

20.08

20.19

20.30

20.42

20.114

21.160

22.193

23.216

24.227

25.224

26.207

27.178

28.137

29.084

30.021

30.947

31.863

32.769

33.666

34.554

35.434

36.305

37.169

38.025

38.874

39.716

40.551

41.380

wt percent

&i

(J mol"* K

117.964

115.703

113.496

111.341

109.235

107.182

105.176

103.215

101.296

99.418

97.578

95.775

94.006

92.271

90.566

88.891

87.244

85.623

84.027

82.454

80.904

79.375

77.865

76.374
200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

2TO.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

13.907

15.421

17.061

18.832

20.742

22.799

25.009

27.380

29.919

32.635

35.535

38.626

41.922

45.425

49.147

53.096

57.281

61.712

66.399

71.352

76.581

( 82.0961

( 87.910)

< 94.034)

(100.479)

(107.258)

0.983

0.978

0.973

0.968

0.964

0.958

0.953

0.948

0.943

0.938

0.932

0.927

0.921

0.915

0.910

0.904

0.898

0.892

0.886

0.879

0.873

0.867

0.860

6.853

0.846

0.839

1.017

i.022

1.027

1.033

1.038

1.043

1.049

1.055

1.061

1.067

1.073

1.079

1.086

1.092

1.099

1.106

1.114

1.121

1.129

1.137

1.145

1.154

1.163

1.172

1.182

1.192

144.095

130.494

118.403

107.628

98.002

89.383

81.649

74.694

68.426

62.766

57.645

53.002

48.786

44.950

41.454

38.262

35.343

32.669

30.216

27.962

25.889

( 23.978)

( 22.216)

( 20.587)

( 19.081)

( 17.686)

20.55

20.67

20.81

20.94

21.08

21.23

21.38

21.54

21.71

21.88

22.06

22.24

22.44

22.64

22.85

23.08

23.31

23.56

23.83

24.10

24.40

24.71

25.05

25.41

25.80

26.22

42.204

43.021

43.833

44.640

45.442

46.239

47.032

47.820

48.604

49.384

50.161

50.934

51.704

52.470

53.234

53.995

54.754

55.511

56.265

57.019

57.771

(58.523)

(59.275)

(60.028)

(60.783)

(61.540)

74.901

73.443

72.001

70.573

6V. 158

67.755

66.364

64.982

63.609

62.244

60.887

59.535

58.189

56.847

55.507

54.170

52.833

51.497

50.159

48.819

47.474

( 46.125

( 44.770

( 43.406

( 42.034

( 40.649

NOTE. Data contained in parentheses were calculated by extrapolation of the function
Table 10

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaC-1 concentration:

P

(bars)

0.423

0.516

0.626

0.755

0.905

1.079

1.280

l.bll

1.774

2.074

2.414

2.79b

3.229

3.713

4.254

4.856

5.524

6.263

7.079

7.976

8.961

1U.040

11.217

12.501

d

(g cm" )

1.078

1.075

1.072

1.069

1.065

1.062

1.059

1.655

1.051

1.048

1.044

1.040

1.036

1.032

1.028

1.024

1.020

1.015

1.011

1.007

1.002

0.998

0.993

0.988

vL

3.0195 mol/kg HaO

vG

(cm g )

0.928

0.930

6.933

0.936

0.939

0.942

6.945

6.948

6.951

0.954

0.958

0.962

6.965

0.969

0.973

6.977

0.981

0.985

6.989

0.993

0.998

1.002

1.007

1.012

3821.778

3171.711

2647.941

2223.249

1876.802

1592.642

1358.071

1163.485

1001.241

865.298

750.855

654.078

571.885

501.786

441.765

390.174

345.666

307.132

273.657

244.482

218.973

196.602

176.926

159.571

VL

3

(cm mol

18.46

18.52

18.58

16.64

18.70

18.77

18.83

16.90

18.98

19.05

19.13

19.21

19.36

19.36

19.47

19.57

19.66

19.76

19.86

19.97

20.07

20.19

20.30

20.42

15.00 wt percent

S^

l)

20.119

21.165

22.198

23.220

24.232

25.228

26.212

27.162

28.141

29.089

30.025

30.951

31.867

32.773

33.670

34.558

35.437

36.308

37.172

38.027

38.876

39.718

40.553

41.382

AS1

(Jmorl K":

117.966

115.705

113.498

111.344

109.238

107.185

105.179

103.217

101.299

99.421

97.581

95.776

94.010

92.275

90.570

88.895

87.248

85.628

84.032

82.460

80.910

79.381

77.872

76.381
200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

13.895

15.409

17.047

18.817

20.726

22.781

24.989

27.358

29.895

32.609

35.507

38.597

41.889

45.389

49.108

53.053

57.235

61.663

66.346

71.295

76.519

( 82.030)

( 87.839)

{ 93.958)

(100.397)

(107.171)

0.904

0.979

0.974

0.969

0.964

0.959

0.954

0.949

0.944

0.938

0.933

0-.927

0.922

0.916

0.910

0.905

0.899

0.893

0.887

0.880

0.874

0.868

0.861

0.854

0.847

0.840

1.017

1.022

1.027

1.032

1.037

1.043

1.048

1.054

1.060

1.066

1.072

1.078

1.085

1.091

1.098

1.105

1.113

1.120

1.128

1.136

1.144

1.153

1.162

1.171

1.180

1.191

144.222

130.610

118.509

107.725

98.091

89.465

81.725

74.764

68.491

62.826

57.701

53.055

48.835

44.996

41.497

38.302

35.381

32.705

30.250

27.995

25.920

( 24.008)

( 22.244)

( 20.614)

( 19.107)

( 17.711)

20.54

20.67

20.80

20.94

21.08

21.23

21.38

21.54

21.70

21.87

22.05

22.24

22.43

22.64

22.85

23. 01

23.31

23.56

23.82

24. 10

24.39

24.76

25.04

25.40

25.79

26.20

42.205

43.023

43.835

44.641

45.443

46.240

47.032

47.820

48.604

49.383

50.160

50.932

51.702

52.468

53.231

53.992

54.750

55.506

56.261

57.014

57.765

(58.517)

(59.268)

(60.020)

(60.774)

(61.531)

74.9

73.45

72.0

70.5

69.1

67.7

66.3

64.9

63.6

62.2

60.8

59.5

58.2

56.8

55.5

54.1

52.8

51.5

50.1

48.8

47.4

( 46.1

( 44.7

( 43.4

( 42.0

( 40.6

NOTE. Data contained in parentheses were calculated by extrapolation of the functi
Table 11

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bars)

0.414

0.506

0.613

0.740

0.887

1.057

1.254

1.480

1.738

2.032

2.365

2.742

3.165

3.639

4.169

4.759

5.414

6.139

6.939

7.819

8.785

9.842

10.997

12.256

d

q

(g cm" )

1.093

1.090

1.087

1.084

1.080

1.077

1.074

1.670

1.066

1.063

1.059

1.055

1.051

1.047

1.043

1.039

1.035

1.031

1.026

1.022

1.018

1.013

1.009

1.004

3.

vL

3

(cm

0.915

0.917

0.920

6.923

0.926

6.928

6.931

0.935

0.938

0.941

0.944

0.948

6.951

6.955

0.959

0.962

0.966

0.970

6.974

0.978

0.983

0.987

6.991

0.996

5000 mol/kg H O

vG

g")

3903.104

3239.071

2704.077

2270.307

1916.473

1626.269

1386.721

1188.016

1022.345

883.537

766.688

667.879

583.963

512.399

451.124

398.458

353.023

313.689

279.519

249.739

223.702

200.868

180.785

163.071

VL

3 1

(cm mol )

18.44

18.50

18.55

18.61

18.68

18.74

18. 8l

18.88

18.95

19.02

19.10

19.18

19.26

19.34

19.43

19.52

19.61

19.71

19.81

19.91

20.02

20.12

20.24

20.35

16.98 wt percent

SL

20.238

21.281

22.312

23.332

24.341

25.336

26.316

27.284

28.240

29.185

30.119

31.041

31.954

32.857

33.750

34.634

35.510

36.377

37.236

38.087

38.931

39.768

40.599

41.423

AS

(J mol" 

110.0

115.7

113.5

111.4

109.3

107.25

105.25

103.29

101.38

99.5

97.67

95.87

94.11

92.38

90.68

89.01

87.37

85.75

84.17

82.60

81.06

79.54

78.04

76.55
ZOO.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

13.624

15.108

16.714

18.450

20.322

22.337

24.502

26.825

29.314

31.975

34.816

37.846

41.073

44.505

48.151

52.01V

56.119

60.459

65.049

69.900

75.020

( 80.42U)

( 66.112)

( 92.106)

( 98.415)

(1U5.049)

1.000

0.995

0.990

0.985

0.981

0.976

0.971

0.966

0.961

0.955

0.950

0,945

0.940

0.934

0.929

0.924

0.918

0.912

0.907

0.901

0.895

0.889

0.8B3

0.877

0.671

0.864

1.000

1.005

1.010

.015

.020

.025

.030

.036

1.041

1.047

1.052

1.058

1.064

1.070

1.076

1.083

1.089

1.096

1.103

1.110

1.117

1.125

1.132

1.140

1.14H

1.157

147.405

133.513

121.163

110.156

100.325

91.522

83.622

76.518

70.117

64.337

59.107

54.366

50.061

46.144

42.574

39.315

36.335

33.606

31.102

28.802

26.686

( 24.737)

( 22.938)

< 21.277)

( 19.741)

( 18.318)

20.4'

20.59

20.72

20.85

20.99

21.13

21.28

21.43

21.59

21.76

21.93

22.11

22.30

22.49

22.70

22.91

23.14

23.37

23.62

23.89

24.17

24.46

24.78

25.12

25.48

25.87

42.240

43.052

43.858

44.658

45.454

46.244

47.029

47.810

48.586

49.358

50.126

50.890

51.650

52.407

53.160

53.910

54.657

55.402

56.144

56.884

57.622

(56.359)

(59.094)

(59.830)

(60.^66)

(61.303)

75.0

73.6

72.2

70.7

69.3

68.0

66.6

65.2

63.8

62.5

61.2

59.8

58.5

57.2

55.9

54.5

53.2

51.9

50.6

49.3

48.0

( 46.7

( 45.3

( 44.0

( 42.7

( 41.3

NOTE. Data contained in parentheses were calculated by extrapolation of the functi
Table 12.

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bars)

0.405

0.494

0.600

6.723

0.867

1.034

1.226

1.448

1.700

1.988

2.314

2.682

3.097

3.561

4.080

4.658

5.300

6.009

6.793

7.655

8.601

9.637

10.768

12.001

d

(g cm" )

1.108

1.105

1.102

1.099

1.096

1.092

1.689

1.085

1.082

1.578

1.074-

1.070

1.666

1.662

1.058

1.054

1.650

1.046

1.042

1.037

1.033

1.629

1.024

1.020

4.0000 mol /kg HgO

vL

(cm

0.902

6.905

6.907

6.910

0.913

6.916

6.918

6.921

6.925

6.928

6.931

6.934

6.938

6.941

0.945

0.948

0.952

6.956

6.960

6.964

0.968

0.972

6.976

0.981

vG

V1)

3994.293

3314.453

2766.779

2322.771

1960.619

1663.621

1418.489

1215.170

1045.666

903.659

784.126

683.056

597.226

524.034

461.370

407.513

361.054

320.835

285.899

255.452

228.834

205.491

184.962

166.855

VL

18.95 wt percent

?

3 -1

(cm mol )

18.42

18.48

18.53

18.59

18.65

18.71

18.78

18.84

18.91

18.99

19.06

19.14

19.22

19.30

19.38

19.47

19.56

19.65

19.75

19.85

19.95

20.05

20.16

20.27

20.344

21.365

22.413

23.431

24.437

25.429

26.407

27.373

28.326

29.268

30.199

31.118

32.028

32.927

33.817

34.697

35.569

36.432

37.287

38.134

38.974

39.806

40.631

41.450

A^

(J mol 

118.11

115.86

113.66

111.51

109.41

107.36

105.36

103.40

101.49

99.62

97.79

96.00

94.24

92.51

90.82

89.15

87.52

85.91

84.33

82.77

81.23

79.72

78.23

76.75
ZOO.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

13.341

14.795

16.369

18.070

19.904

21.879

24.001

26.277

28.715

31.323

34.107

37.076

40.238

43.601

47.173

50.963

54.980

59.232

63.729

68.480

73.495

( 78.785)

( 84.359)

( 90.229)

( 96.406)

(102.901)

1.015

1.011

1.006

1.001

0.997

0.992

0.987

0.982

0.977

0.972

0.967

0.962

0.957

0.952

0.947

0.942

0.937

0.932

0.926

0.921

0.916

0.910

0.905

0.900

6.894

0.888

0.985

6.989

6.994

6.999

1.003

1.008

1.013

1.018

1.023

1.028

1.034

1.039

1.044

l.OSO

1.056

1.061

1.067

1.073

1.079

1.086

1.092

1.098

1.105

1.112

1.119

1.126

150.842

136.643

124.020

112.772

102.724

93.728

85.655

78.396

71.855

65.949

60.606

55.762

51.364

47.363

43.716

40.388

37.344

34.557

32.000

29.652

27.492

25.502)

23.666)

21.971)

20.403)

18.951)

20.39

20.51

20.63

20.76

20.89

21.03

21.17

21.32

21.47,

21.63

21.79

21.97

22.15

22.33

22.53

22.73

22.95

23.17

23.41

23.66

23.92

24.20

24.49

24.81

25.14

25.50

42.262

43.069

43.869

44.663

45.452

46.236

47.014

47.788

48.557

49.321

50.081

50.836

51.587

52.335

53.079

53.818

54.555

55.2U8

56.018

56.745

57.470

(58.193)

(58.913)

(59.633)

(60.351)

(61.069)

75.30

73.86

72.44

71.03

69.64

68.26

66.89

65.54

64.19

62.86

61.53

60.21

58.90

S7.60

56.30

55.00

53.71

52.42

91.13

49.84

48.55

( 47.26

( 45.97

( 44.67

( 43.37

( 42.07

NOTE. Data contained in parentheses were calculated by extrapolation of the functi
Table 13 .

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

165.

190.

195.

NaCl

P

(bars)

0.400

0.488

0.592

0.714

0.856

1.021

1.211

1.429

1.679

1.963

2.285

2.649

3.059

3.518

4.031

4.602

5.236

5.937

6.712

7.564

0. 499

9.523

10.642

11.861

concentration:

d

(g cm" )

1.116

1.113

1.110

1.107

1.104

1.100

1.097

1.093

1.090

1.086

1.582

1.078

1.075

1.071

1.067

1.062

1.058

.054

,6bO

.046

.041

.037

.033

.026

4

L

V

(cm

0.896

0.898

6.901

0.903

0.906

6.909

6.912

6.915

6.918

6.921

6.924

0.927

0.931

6.934

0.938

0.941

0.945

6.949

6.952

0.956

6.960

6.964

6.968

0.973

.2777 mol/kg Ha<5

vG

g")

4048.129

3356.879

2803.666

2353.585

1966.505

1685.489

1437.058

1231.017

1059.256

915.366

794.257

691.860

604.909

530.764

467.286

412.736

365.660

324.947

289.565

258.731

231.775

208.136

187.350

169.016

VL

(cm mol

16.41

16.46

18.52

18.57

18.63

16.6$

18.76

18.82

16.89

16.96

19.04

19.11

19.1$

19.27

19.35

19.44

19.53

19.62

19.71

19. 8l

19.91

20.01

20.12

20.23

20.00

SL

)

20.393

21.432

22.460

23.475

24.460

25.472

26.448

27.412

28.364

29.305

30.234

31.152

32.059

32.957

33.845

34.723

35.593

36.454

37.307

38.151

38.989

39.818

40.641

41.457

wt percen

A

(J mol" 

118.1

115.9

113.7

111.5

109.4

107.4

105.4

103.4

101.5

99.7

97.8

96.0

94.3

92.6

90.9

89.2

87.6

86.0

64.4

62.8

81.3

79.8

78.3

76.8
200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

13.186

14.623

16.179

17.861

19.675

21.627

23.725

25.976

28.387

30.966

33.719

36.655

39.782

43.108

46.640

50.388

54.360

56.565

63.012

67.710

72.669

( 77.899)

( 83.411)

( 89.214)

( 95.321)

(101.742)

1.024

1.019

1.015

1.010

1.665

1.001

0.996

0.991

0.986

0.981

0.977

0.972

0.967

0.962

0.957

0.952

0.947

0.942

0.937

0.932

0.927

0.922

0.916

0.911

0.906

0.901

U.977

0.981

6.986

6.990

6.995

0.999

1.004

1.009

1.014

1.019

1.024

1.029

1.034

1.040

1.045

1.051

1.056

1.062

1.067

1.073

1.079

1.085

1.091

1.097

1.103

1.110

152.603

138.426

125.646

114.258

104.086

94.978

86.807

79.456

72.837

66.859

61.450

56.548

52.097

48.047

44.357

40.989

37.909

35.088

32.502

30.126

27.940

( 25.927)

( 24.070)

( 22.355)

( 20.770)

( 19.301)

20.34

20.46

20.58

20.71

20.84

20.97

21.11

21.25

21.40

21.56

21.72

21.88

22.06

22.24

22.43

22.63

22.83

23.05

23.26

23.52

23.76

24.04

24.33

24.63

24.95

25.29

42.267

43.070

43.867

44.659

45.444

46.224

46.999

47.769

48.534

49.294

50.050

50.601

51.548

52.290

53.029

53.763

54.494

55.222

55.946

56.666

57.384

(58.099)

(58.812)

(59.523)

(60.232)

(60.940)

75.429

73.996

72.579

71.178

69.791

66.410

67.057

65.708

64.370

63.042

61.723

60.413

59.110

57.813

56.522

55.236

53.954

52.675

51.399

50.124

48.649

( 47.574

( 46.298

( 45.018

( 43.736

( 42.449

NOTE. Data contained in parentheses were calculated by extrapolation of the function
Table 14,

t

( C)

80.

8*.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bars)

0.395

0.483

0.586

0.706

0.847

1.010

1.198

1.414

1.662

1.943

2.262

2.623

3.028

3.483

3.991

4.557

5.185

5.880

6.647

7.491

8.418

9.432

10.541

11.748

d

-

(g cm" )

1.123

1.120

1.117

1.114

1.110

1.107

1.103

1.100

1.096

1.092

1.089

1.085

1.081

1.077

1.073

1.069

1.065

1.061

1.056

1.052

1.048

1.044

1.039

1.035

4.

VL

3

(cm

0.890

0.893

0.895

0.898

0.901

U.903

0.906

0.909

0.912

0.915

0.919

0.922

0.925

0.929

0.932

0.936

0.939

0.943

0.947

0.950

0.954

0.958

0.962

0.966

5000 mol /kg HaO

G 

v .

,

g )

4093.013

3395.873

2834.350

2379.183

2007.985

1703.502

1452.431

1244.122

1070.482

925.028

802.609

699.111

611.229

S36.296

472.148

*17.021

369.472

328.313

292.563

261.410

234.176

210.297

189.296

170.775

VL

3 1

(cm mol )

ltt.40

18.45

18.51

18.56

18.62

18.68

18.74

18.81

18. 8b

18.95

19.02

19.0V

19.17

19.25

19.33

19.42

19.50

19.5V

19.69

19.78

19.88

19.98

20.09

20.19

20.82 wt percent

SL

20.426

21.464

22.491

23.505

24.509

25.502

26.475

27.438

28.389

29.328

30.256

31.173

32.079

32.975

33.861

34.739

35.607

36.466

37.317

38.160

38.995

39.b23

40.64*

41.458

ASt

,

(J mol" 

lib. 244

115.989

113.790

111.643

109.546

107.496

105.502

103.550

101.641

99.774

97.946

96.156

94.400

92.67V

90.990

89.330

87.700

86.098

84.521

82.969

81.440

79.933

78.447

76.982
200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

13.061

14.486

16.028

17.695

19.492

21.427

23.507

2S.738

28.12U

3U.6B3

33.412

36.323

39.422

42.718

46.220

49.935

53.872

5U.040

62.447

67.104

72.020

( 77.203)

< 82.666)

( flB.418)

( 94.470)

(100.834)

1.030

1.026

1.021

1.017

1.012

1.007

1.003

0.998

0.993 '

0.989

0.984

0.979

0.974

0.969

0.964

0.960

0.9S5

0.950

0.945

0.940

0.935

0.930

0.925

0.921

0.916

0.911

0.971

6.975

0.979

0.984

6.988

0.993

0.997

1.002

1.007

1.012

1.017

1.022

1.027

1.032

1.037

1.042

1.047

1.053

1.058

1.064

1.069

1.075

1.081

1.086

1.092

1.098

154.397

139.875

126.967

115.464

105.190

95.991

87.738

80.317

73.631

67.593

62.132

57.182

52.687

48.598

44.872

41.471

38.362

35.515

32.903

30.505

28.299

( 26.267)

( 24.393)

( 22.662)

( 21.062)

( 19.580)

20. 30

20.42

20.54

20.66

20.79

20.92

21.05

21.20

21.34

21.49

21.65

21.81

21.98

22.16

22.35

22.54

22.74

22.95

23.18

23.41

23.66

23.91

24.19

24.48

24.78

25.11

42.266

43.067

43.861

44.650

45.433

46.211

46.983

47.750

48.512

49.269

50.022

50.769

51.513

52.251

52.986

53.717

54.443

55.166

55.885

56.601

57.313

(b8.023)

(58.730)

(59.434)

(60.136)

(60.837)

75.534

74.105

72.692

71.295

69.912

68.543

67.187

65.844

64.511

63.188

61.875

60.571

59.274

57.985

56.701

55.423

54.149

52.879

51.612

50.346

49.082

( 47.818

I 46.553

( 45.287

( 44.018

( 42.746

NOTE. Data contained in parentheses were calculated by extrapolation of the function
Table 15

t

<°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

160.

165.

190.

195.

NaCl concentration:

P

(bars)

0.385

0.470

0.571

0.689

0.826

0.986

1.169

1.381

1.622

1.898

2.210

2.562

2.959

3.404

3.901

4.454

5.069

5.750

6.501

7.328

tt.235

9.229

10.315

11.498

d

(g cm" )

1.137

1.134

1.131

1.128

1.124

1.121

1.117

1.114

1.110

1.106

1.103

1.099

1.095

1.091

1.087

1.083

1.079

.075

.070

.066

.062

.058

.053

.049

5.0000 mol/kg H O

L

V

vG

(cm g )

0.879

0.882

0.884

0.887

0.889

0.892

6.695

0.898

6.901

6.904

6.907

0.910

0.913

6.917

0.920

6.923

6.927

0.931

0.934

6.938

0.942

0.946

0.949

0.953

4200.277

3484.117

2907.401

2440.022

2058.943

1746.420

1488.773

1275.050

1096.930

947.750

822.219

716.107

626.021

549.220

463.484

427.001

378.289

336.129

299.515

267.613

239.728

215.280

193.782

174.825

V L

(cm mol

18.38

18.43

18. 46

18.53

18.59

18.65

18.71

18.77

18.84

18.91

18.98

19.05

19.12

19.20

19.28

19.36

19.44

19.53

19.62

19.71

19.61

19.90

20.00

20.11

22.61 wt percent

SL

l)

20.478

21.514

22.538

23.550

24.552

25.542

26.514

27.475

28.423

29.360

30.285

31.199

32.102

32.996

33.879

34.753

35.618

36.473

37.321

36.160

38.992

39.816

40.632

41.442

^i

(Jmorl K 

lie. 4ij

116.159

113.961

111.815

109.720

107.672

105.679

103.729

101.822

99.957

98.132

96.344

94.592

92.875

91.189

89.534

87.908

86.310

84.738

83.192

61.668

80.168

78.688

77.229
200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

12.765

14.181

15.692

17.326

19.068

20.985

23.023

25.211

27.554

30.060

32.736

35.590

38.630

41.863

45.297

48. 9*1

52.803

56.891

61.214

65.782

70.603

( 75.688)

( 81.046)

( 86.687)

( 92.622)

( 98.863)

1.044

1.040

1.036

1.031

1.027

1.022

1.017

1.013

1.008

1.004

0.999

0.994

0.990

0.985

0.981

0.976

0.971

0.967

0.962

0.958

0.953

0.949

0.944

0.940

6.936

0.932

0.957

0.962

0.966

0.970

6.974

0.978

0.983

0.987

0.992

0.996

1.001

1.006

1.010

1.015

1.020

1.025

1.029

1.034

1.039

1.044

1.049

1.054

1.059

1.064

1.069

1.073

158.063

143.202

129.993

118.224

107.713

98.304

89.862

82.273

75.434

69.261

63.677

58.616

54.021

49.842

46.033

42.558

39.381

30.472

33.804

31.354

29.101

( 27.026)

( 25.112)

( 23.345)

( 21.711)

( 20.198)

20.21

20.32

20.44

20.56

20.68

20.80

20.93

21.07

21.20

21. 3b

21.50

21.65

21.81

21.98

22.16

22.34

22.53

22.73

22.93

23.15

23.38

23.62

23.86

24.13

24.40

24.69

42.245

43.041

43.831

44.615

45.393

46.165

46.931

47.692

48.448

49.199

49.944

50.685

51.421

52.152

52.879

53.601

54.319

55.032

55.741

56.447

57.148

(57.846)

(58.540)

(59.230)

(59.918)

(60.602)

75.789

74.367

72.962

71.573

70.199

68.840

67.494

66.160

64.838

63.527

62.226

60.935

59.651

58.376

57.107

55.845

54.588

53.336

52.088

50.843

49.601

( 48.360)

( 47.120)

( 45.880)

( 44.639)

( 43.397)

NOTE. Data contained in parentheses were calculated by extrapolation of the functions 
Table 16.

t

<°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl concentration:

P

(bars)

0.375

0.458

6.556

0.671

0.805

0.961

1.140

1.346

1.583

1.851

2.156

2.501

2.889

3.324

3.810

4.352

4.954

5.620

6.355

7.165

8.054

9.027

10.091

11.251

d

(g cm )

1.151

1.148

1.145

1.142

1.138

1.135

1.131

1.128

1.124

1.120

1.116

1.112

1.108

1.104

1.100

1.096

1.092

1.088

1.084

1.080

1.075

1.671

1.067

1.062

5

V L

(cm

0.869

6.871

6.873

0.876

0.879

6.881

6.884

6.887

6.890

6.893

6.896

6.899

6.902

6.905

0.909

0.912

6.916

6.919

6.923

6.926

6.930

6.934

6.937

6.941

.5000 mol/kf

v°

g' 1)

4317.348

3580.166

2986.700

2505.886

2113.966

1792.640

1527.811

1308.186

1125.195

971.973

843.071

734.136

641.673

562.865

495.423

437.486

387.531

344.302

306.768

274.069

245.493

220.444

198.420

179.003

!H80

Jtl

(cm mol )

18.35

18.40

18.45

18.50

18.56

18.61

18.6?

18.73

18.86

18.86

18.93

19.00

19.07

19.15

19.22

19.30

19.38

19.46

19.55

19.64

19.73

19.82

19.92

20.02

24.32 wt percent

SL

20.494

21.529

22.551

23.561

24.560

25.548

26.518

27.477

28.423

29.357

30.280

31.192

32.093

32.983

33.864

34.735

35.597

36.449

37.294

38.130

38.958

39.t78

40.591

41.396

AS,

(Jmol^K

118.630

116.376

114.178

112.034

109.939

107.893

105.899

103.951

102.046

100.183

98.359

96.574

94.824

93.109

91.426

89.775

88.152

86.558

84.990

83.448

81.930

80.434

78.960

77.507
ZOO.

205.

210.

215.

320.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

2B5.

290.

295.

300.

305.

310.

315.

320.

325.

12.512

13.880

15.362

16.96*

16.691

20.552

22.551

24.697

26.996

29.455

32.081

34.882

37.86S

41.038

44.409

47.986

51.777

55.791

60.035

64.520

69.254

( 74.246)

( 79.507)

( 85.046)

( 90.874)

( 97.002)

1.058

1.054

1.049

1.045

1.040

1.036

1.031

1.027

1.022

1.018

1.013

1.009

1.005

1.000

0.996

0.991

0.987

0.983

0.978

0.974

0.970

0.966

0.962

0.958

0.954

0.951

0.945

6.949

0.953

0.957

6.961

6.965

6.970

6.974

6.978

0.982

0.987

6.991

0.995

1.000

1.004

1.009

1.013

1.018

1.022

1.026

1.031

1.035

1.039

1.044

1.048

1.052

161.836

146.618

133.095

121.047

110.288

100.659

92.020

84.255

77.259

70.944

65.233

60.058

55.359

51.086

47.193

43.641

40.394

37.421

34.695

32.193

29.891

( 27.771)

( 25.817)

< 24.013)

( 22.345)

( 20.801)

20.12

20.22

20.33

20.44

20.56

20.68

20.80

20.93

21.06

21.20

21.34

21.48

21.64

21.79

21.96

22.13

22.30

22.49

22.68

22.88

23.08

23.30

23.53

23.76

24.00

24.25

42.195

42.987

43.773

44.552

45.325

46.093

46.854

47.610

48.360

49.105

49.845

50.579

51.308

52.033

52.752

53.467

54.177

54.882

55.582

56.278

56.970

(57.657)

(58.340)

(59.018)

(59.692)

(60.361)

76.072

74.657

73.259

71.877

70.511

69.159

67.821

66.497

65.184

63.883

62.593

61.312

60.041

58.778

57.523

56.274

55.032

53.796

52.565

51.337

50.114

( 48.893)

( 47.674)

( 46.458)

( 45.242)

( 44.027)

NOTE. Data contained in parentheses were calculated by extrapolation of the functions 
Table 17.

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

16,5.

170.

175.

180.

185.

190.

195.

NaCl

P

(bars)

0.370

0.453

0.550

0.663

0.796

0.950

1.128

1.332

1.566

1.832

2.134

2.476

2.860

3.291

3.773

4.310

4.907

b.567

6.296

7.099

7.980

8.946

10.001

11.151

concentration:

d

(g cm" )

1.157

1.154

1.150

1.147

1.144

1.140

1.137

1.133

1.129

1.125

1.122

1.118

1.114

1.110

1.106

1.102

1.098

1.093

1.089

1.085

1.081

1.076

1.072

1.068

5.

L 

V

(cm

0.865

6.867

6.869

6.872

0.874

6.877

0.880

6.883

6.886

6.889

0.892

6.895

6.898

0.901

0.904

6.908

0.911

0.915

6.918

6.922

6.925

6.929

6.933

6.937

7036 mol /kg HaO

vG

g' 1)

4368.176

3621.785

3020.993

2534.315

2137.669

1812.513

1544.563

1322.379

1137.279

982.310

851.953

741.801

648.316

568.644

500.471

441.912

391.424

347.740

309.813 

276.775

247.906

222.600

200.354

180.741

VL

3 -1

(cm mol )

18.34

18.39

18.44

18.49

18.54

18.60

18.66

18.72

18.78

18.85

18.91

18.98

19.05

19.12

19.20

19.2?

19.35

19.44

19.52

19.61

19.69

19.79

19.88

19.98

25.00

SL

20.490

21.524

22.545

23.554

24.552

25.539

26.509

27.467

28.412

29.346

30.268

31.178

32. ore

32.968

33.847

34.717

35.578

36.429

37.272

38.107

38.934

39.tS3

40.564

41.368

wt percent

AS,

(J mol^K" 

118.734

116.480

114.282

112.138

110.043

107.997

106.004

104.055

102.150

100.288

98.465

96.680

94.931

93.217

91.535

89.885

88.263

86.671

85.104

83.563

82.047

80.553

79.081

77.629
200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

12.401

13.759

15.229

16.818

18.532

20.378

22.363

24.492

26.773

29.214

31.820

34.601

37.562

40.712

44.058

47.609 <

51.373 (

55.357 (

59.572 (

64.024

68.725

( 73.682) (

( 78.905) (

( 84.405) (

( 90.192)

( 96.277)

.063

L.059

1.055

.650

.046

.041

.037

.032

.028

.024

.019

.015

.010

.006

.002

>.997

1.993

J.989

).9B5

).981

).977

).973

).969

J.965

).962

J.958

0.940

6.944

6.948

0.952

0.956

0.960

6.964

6.969

6.973

0.977

0.981

0.986

0.990

U.994

0.998

1.003

1.007

1.011

1.016

1.020

1.024

1.028

1.032

1.036

1.040

1.044

163.403

148.035

134.379

122.214

111.351

101.629

93.908

85.069

78.007

71.633

65.869

60.645

55.904

51.592

47.664

44.080

40.803

37.804

35.055

32.530

30.208

( 28.070)

( 26.099)

( 24.280)

( 22.597)

( 21.040)

20.08

20.18

20.29

20.40

20.51

20.63

20.75

20.87

21.00

21.13

21.27

21.41

21.56

21.71

21.87

22.04

22.21

22.38

22.57

22.76

22.96

23.17

23.38

23.60

23.83

24.07

42.166

42.956

43.740

44.518

45.289

46.055

46.814

47.568

48.316

49.059

49.796

50.529

51.256

51.978

52.694

53.406

54.113

54.815

55.513

56.205

56.893

(57.576)

(58.254)

(58.928)

(59.597)

(60.261)

76.197

74.784

73.388

72.009

70.645

69.297

67.962

66.641

65.332

64.034

62.748

61.471

60.204

58.946

57.695

56.452

55.215

53.985

52.759

51.539

50.322

( 49.109)

( 47.898)

( 46.690)

( 45.483)

( 44.279)

NOTE. Data contained in parentheses were calculated by extrapolation of the functions 
Table 18.

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

NaCl

P

(bars)

0.364

0.445

0.540

0.652

0.783

0.935

1.110

1.311

1.542

1.804

2.102

2.439

2.818

J.244

3.719

4.249

4.838

5.490

6.210

7.003

7.873

8.827

9.870

11.006

concentration:

d

(g cm" )

1.165

1.161

l.lbB

1.155

1.151

1.148

1.144

1.141

1.137

1.133

1.129

1.125

1.121

1.117

1.113

1.109

1.105

1.101

1.097

1.092

1.088

1.084

1.080

1.075

6.

L

V

(cm

0.859

6.861

6.863

0.866

0.868

6.871

6.874

0.877

0.880

6.883

O.R86

6.889

0.892

0.895

0.898

0.902

0.905

0.908

0.912

0.915

0.919

6.923

0.926

U.930

.0000 mol/kg H O

v°

g" 1 )

4445.820

3685.266

3073.226

2577.553

2173.669

1842.653

1569.934

1343.844

1155.529

997.899

865.330

753.329

658.293

577.313

508.032

448.532

397.241

352.869

314.350

280.802

251.490

225.800

203.220

183.315

VL

(cm mol )

18.33

18.37

18.42

18.47

18.52

10.58

18.64

18.69

18.76

18.82

10.88

18.95

19.02

19.09

19.16

19.24

19.31

19.39

19.48

19.56

19.65

19.74

19.83

19.92

25. 9b

SL

20.471

21.503

22.523

23.531

24.528

25.514

26.483

27.440

28.304

29.316

30.237

31.146

32.045

32.933

33.011

34.680

35.539

36.389

37.230

38.063

38.888

39.705

40.515

41.317

wt percent

AS,

(T mol" If ~ 

118.903

116.649

114.451

112.306

110.211

108.165

106.171

104.223

102.318

100.456

98.634

96.849

95.101

93.388

91.707

90.058

88.438

86.847

85.283

83.744

82.229

80.737

79.268

77.819
ZOO.

205.

210.

215.

220.

225.

230.

235.

2*0.

2*5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

12.242

13.584

15.037

16.608

18.303

20.129

22.091

24.198

26.454

28.869

31.448

34.199

37.129

40.246

43.558

47.073

50.798

54.742

58.914

63.322

67.976

( 72.884)

( 78.055)

( 83.501)

( 89.231)

( 95.256)

1.071

1.067

1.062

1.058

1.053

1.049

1.045

1.040

1.036

1.031

1.027

1.023

1.018

1.014

1.010

1.006

1.001

0.997

0.993

0.989

0.986

0.982

0.978

0.975

0.971

0.968

0.934

0.938

0.941

0.945

0.949

0.953

0.957

0.961

0.965

6.970

0.974

6.978

0.982

0.986

6.990

6.994

6.999

1.003

1.007

1.011

1.015

1.018

1.022

1.026

1.029

1.033

165.720

150.127

136.272

123.932

112.913

103.053

94.210

86.261

79.101

72.639

66.796

61.502

56.697

52.327

48.347

44.715

41 .396

38.358

35.573

33.016

30.665

28.500)

26.504)

24.662)

22.959)

21.383)

20.02

20.12

20.22

20.33

20.44

20.55

20.67

20.79

20.91

21.04

21.17

21.31

21.45

21.60

21.75

21.90

22.07

22.23

22.41

22.59.

22.78

22.97

23.17

23.37

23.58

23.79

42.112

42.901

43.682

44.458

45.227

45.990

46.747

47.<*98

48.243

48.983

49.718

50.447

51.1/1

51.889

52.602

53.311

54.014

54.711

55.404

56.092

56.775

(57.453)

(58.125)

(58.793)

(59.455)

(60.111 )

76.39

74.979

73.587

72.211

70.851

69.50

68.17

66.85

65.55

64.261

62.97

61.70

60.44

59.19

57.95

56.71

55.48

54.26

53.04

51.83

50.62

( 49.422

( 48.222

( 47.025

( 45.831

( 44.640

NOTE. Data contained in parentheses were calculated by extrapolation of the functio
Table 19.

t

(°C)

80. 

85. 

9U. 

95.

100. 

105. 

110. 

115. 

120. 

125. 

130. 

135. 

140. 

145.

150. 

155. 

160. 

165. 

170. 

175. 

180. 

185. 

190. 

195.

NaCl concentration:

P

(bars)

0.432 

0.524 

0.633

0.761 

0.908 

1.079 

1.275 

1.500 

1.756 

2.047 

2.376 

2.746 

3.162

3.627 

4.145 

4.721 

5.359 

6.064 

6.840 

7.693 

8.628 

9.649 

10.764

d

~

(g cm )

1.174 

1.171 

1.168

1.164 

1.161 

1.157 

1.153 

1.150 

1.146 

1.142 

1.138 

1.134 

1.130

1.126 

1.122 

1.117 

1.113 

1.109 

1.105 

1.100 

1.096 

1.092 

1.087

6.

vL

(cm

0.851 

0.854 

0.856

0.859 

0.862 

0.864 

0.867 

6.870 

6.873 

0.876 

0.879 

0.882 

6.885

0.888 

0.892 

0.895 

0.898 

6.902 

6.905 

6.909 

0.912 

0.916 

0.920

5000 mol/kg HaO

vG

,

g )

3801.021 

3168.249 

2656.031

2238.859 

1897.105 

1615.667 

1382.448 

1188.274 

1025.807 

889.223 

773.874 

676.032 

592.692

521.417 

460.224 

407.490 

361.885 

322.308 

287.848 

257.749 

231.377 

208.202 

187.779

'VL

3 1

(cm mol )

18.34 

18.39 

18.44

18.49 

18.54 

18.60 

18.65 

18.71 

18.77 

18.83 

18.90 

18.96 

19.03

19.10 

19.1? 

19.25 

19.32 

19.40 

19.48 

19.56 

19.65 

19.73 

19.82

27.53 wt percent

SL

21.432 

22.450 

23.456

24.451 

25.435 

26.403 

27.358 

28.301 

29.231 

30.150 

31.U58 

31.954 

32.B40

33.716 

34.582 

35.*39 

36.287 

37.126 

37.956 

38.778 

39.593 

40.399 

41.199

AS,

,

(J mol K 

116.983 

114.784 

112.638

110.542 

108.495 

106.500 

104.551 

102.646 

100.784 

98.962 

97.178 

9i.430 

V3.M8

92.038 

90.390 

88.772 

8F.183 

8b.620 

84.084 

82.572 

81.083 

79.617 

78.171
200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

11.976

13.292

14.718

16.260

17.923

19.716

21.643

23.712

25.929

28.301

30. 835

33.540

36.420

39.486

42.743

46.200

49.865

53.746

57.851

62.189

66.769

( 71.600)

( 76.692)

( 82.053)

( 87.695)

( 93.628)

1.083

1.079

1.074

1.670

1.066

1.061

1.057

1.053

1.048

1.044

1.040

1.035

1.031

1.027

1.023

1.019

1.015

1.011

1.007

1.004

1.000

0.997

0.993

0.990

0.987

0.984

0.923

0.927

0.931

0.935

0.938

0.942

0.946

0.950

0.954

0.958

0.962

6.966

0.970

6.974

0.978

0.981

0.985

0.989

0.993

0.996

1.000

1.003

1.007

1.010

1.013

1.016

169.731

153.740

139.535

126.885

115.593

105.491

96.432

88.291

80.961

74.346

68.365

62.948

58.032

53.562

49.491

45.778

42.385

39.280

36.434

33.821

31.419

24.208)

27.170)

25.289)

23.550)

21.942)

19.91

20.01

20. li

20.21

20.31

20.42

20.52

20.64

20.75

20.87

21.00

21.12

21.25

21.39

21.53

21.67

21.82

21.97

22.13

22.29

22.46

22.63

22.80

22.97

23.15

23.31

41.991

42.776

43.S55

44.327

45.092

45.852

46.605

47.352

48.094

48.829

49.559

50.284

51.003

51.716

52.4Z5

53.127

53.824

54.516

55.202

55.883

56.559

(57.228)

(57.892)

(58.550)

(59.201)

(59.B45)

76.74

7b.33

73.95

72.58

71.22

69.88

68.56

67.24

65.95

64.66

63.39

62.12

60.87

59.63

58.39

57.16

55.95

54.73

bJ.b3

52.33

51.14

( 49.95

( 48.76

( 47.58

( 46.41

( 45.24

NOTE. Data contained in parentheses were calculated by extrapolation of the functio
Table 20. NaCl concentration:

t

(°C)

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

P

(bars)

2.311

2.673

3.079

3.533

4.040

4.603

5.227

5.917

6.677

7.513

8.428

9.430

10.522

11.711

13.002

14.402

15.915

17.549

19.310

21.203

23.237

25.416

27.749

30.242

32.902

35.737

38.754

41.961

45.365

48.974

52.797

56.841

61.116

65.630

( 70.392)

( 75.412)

( 80.698)

( 86.262)

( 92.113)

d

-3

(g cm )

1.150

1.146

1.142

1.138

1.133

1.129

1.125

1.121

1.116

1.112

1.108

1.103

1.099

1.095

1.090

1.086

1.082

1.077

1.073

1.069

1.064

1.060

1.056

1.052

1.047

1.043

1.539

1.035

1.631

1.027

1.024

1.020

1.017

1.013

1.010

1.007

1.664

1.661

0.998

7.

VL

(cm

0.870

6.873

0.876

0.879

0.882

0.886

0.889

6.892

6.896

6.899

6.903

6.906

0.910

0.913

6.917

0.921

0.925

6.928

6.932

6.936

6.940

0.943

0.947

0.951

6.955

0.959

6.962

6.966

6.970

6.973

6.977

0.980

6.984

0.987

6.990

6.993

6.996

0.999

1.002

0000 mol/kg H O

vG

g- 1)

796.029

695.107

609.180

535.725

472.686

418.385

371.441

330.717

295.273

264.324

237.217

213.404

192.426

173.894

157.478

142.901

129.923

118.342

107.984

98.698

90.355

82.845

76.069

69.945

64.399

59.367

54.793

50.629

46.831

43.362

40.187

37.278

34.608

32.154

( 29.896)

( 27.814)

( 25.893)

( 24.119)

( 22.477)

VL

(cm mol

18.84

18.91

18.97

19.04

19.10

19.17

19.25

19.32

19.40

19.47

19.55

19.64

19.72

19.81

19.89

19.99

20.08

20.18

20.28

20.38

20.48

20.59

20.70

20.81

20.93

21.05

21.17

21.30

21.43

21.56

21.70

21.84

21.98

22.12

22.27

22.41

22.56

22.69

22.82

29.03 wt percent

SL

)

30.921

31.816

32.700

33.574

34.439

35.293

36.139

36.976

37.804

38.624

39.436

40.240

41.037

41.827

42.610

43.385

44.155

44.917

45.674

46.424

47.168

47.906

48.639

49.365

50.606

50.801

51.510

52.214

52.912

53.605

54.291

54.972

55.647

56.316

(56.979)

(57.635)

(58.285)

(58.927)

(59.560)

AS

(J mol 

97.5

95.0

94.1

92.4

90.7

89.1

87.5

86.0

84.4

82.9

81.4

80.0

78.5

77.1

75.7

74.3

72.9

71.6

70.3

68.9

67.6

66.3

65.1

63.8

62.5

61.3

60.0

58.8

57.6

56.4

55.2

54.0

52.8

51.6

50.4

49.3

48.1

46.9

45.8
Table 21. NaCl concentration:

t

(°C)

160.

165.

170.

175.

180.

185.

190.

195.

200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310. 3

315.

320.

325.

P

(bars)

4.523

5.138

5.818

6.568

7.392

8.295

9.283

10.361

11.535

12.810

14.192

15.687

17.302

19.042

20.914

22.925

25.080

27.388

29.855

32.487

35.293

38.280

41.455

44.826

48.401

52.188

56.195

60.431

64.905

( 69.625)

( 74.601)

( 79.842)

( 85.359)

( 91.161 )

d

(g cm" )

1.137

1.133

1.128

1.124

1.120

1.115

1.111

1.107

1.102

1.098

1.093

1.089

1.085

1.080

1.076

1.072

1.067

1.063

1.059

1.055

1.051

1.047

1.043

1.039

1.035

1.032

1.028

1.025

1.021

1.018

1.015

1.012

1.009

1.667

7.3332 mol/kg HaO

VL

(cm g

0.880

6.883

6.886

0.890

6.893

6.897

0.900

0.904

0.907

0.911

0.915

0.918

0.922

6.926

0.929

0.933

6.93?

0.941

0.944

0.948

0.952

0.955

0.959

0.963

6.966

0.969

6.973

0.976

0.979

6.982 (

0.985 (

6.988 (

6.991 (

6.993 (

vG

r 1)

426.073

378.168

336.623

300.474

268.919

241.288

217.022

195.650

176.774

160.058

145.217

132.009

120.224

109.686

100.240

91.757

84.120

77.233

71.009

65.373

60.261

55.615

51.386

47.530

44.008

40.785

37.833

35.124

32.634

30.343)

28.232)

26.284)

24.485)

22.820)

V L

3 - 1

(cm mol

19.12

19.19

19.26

19.34

19.41

19.49

19.57

19.65

19.73

19.82

19.90

19.99

20.09

20.18

20.28

20.38

20.48

20.58

20.69

20.80

20.91

21.03

21.14

21.27

21.39

21.51

21.64

21.77

21.90

22.02

22.15

22.27

22.38

22.48

30.00 wt percent

sj-

')

35.169

36.013

36.849

37.676

38.494

39.305

40.108

40.904

41.692

42.473

43.248

44.015

44.776

45.531

46.280 -

47.022

47.758

48.489

49.213

49.932

50.645

51.352

52.054

52.749

53.439

54.123

54.801

55.472

30.138

(56.797)

(57.448)

(58.093)

(58.729)

(59.357)

AS

(J mol" 

89.45

87.86

86.30

84.76

83.25

81.77

80.30

78.86

77.44

76.03

74.65

73.28

72.93

70.60

69.28

67.98

66.69

65.41

64.14

62.89

61.64

60.41

59.19

57.97

56.77

55.57

54.38

53.19

52.02

( 50.85

( 49.68

( 48.52

( 47.37

( 46.23

NOTE. Data contained in parentheses were calculated by extrapolation of the functio
Table 22. NaCl concentration:

t P

(°C) (bars)

170. 5.768

175. 6.512

180. 7.330

185. 8.227

190. 9.209

195. 10.280

200. 11.446

205. 12.713

210. 14.087

215. 15.573

220. 17.178

225. 18.908

230. 20.770

235. 22.769

240. 24.913

245. 27.209

250. 29.662

255. 32.282

260. 35.074

265. 38.046

270. 41.205

275. 44.560

280. 48.119

285. 51.889

290. 55.878

295. 60.096

300. 64.550

305. ( 69.250)

310. ( 74.206)

315. ( 79.426)

320. ( 84.920)

325. ( 90.699)

a

(g cm" )

(1.132)

(1.128)

(1.123)

(1.119)

(1.115)

(1.110)

(1.106)

(1.101)

(1.097)

(1.093)

(1.088)

(1.084)

(1.080)

(1.075)

(1.071)

(1.067)

(1.063)

(1.658)

(1.054)

(1.050)

(1.046)

(1.043)

(1.039)

(1.035)

(1.032)

(1.028)

(1.025)

(1.022)

(1.019)

(1.616)

(1.013)

(1.011)

7.5000 mol/kg H O 30.47 wt percent 

VL j yG yL jjL ^ 

3-1 3-1 -

(cm g ) (cm mol ) (J mol - 

(0.883) 339.687 (19.24) (36.776) ( 86.45

(0.887) 303.168 (19.31) (37.603) ( 84.92

(6.890) 271.295 (19.38) (38.4Z1) ( 83.41

(0.894) 243.390 (19.46) (39.231) ( 81.92

(0.897) 218.887 (19.53) (40.034) ( 80.46

(0,901) 197.309 (19.61) (40.828) { 79.02

(0.904) 178.254 (19.69) (41.616) ( 77.59

(6.908) 161.382 (19.78) (42.397) ( 76.19

(6.912) 146.404 (19.86) (43.170) ( 74.81

(0,915) 133.075 (19.95) (43.937) ( 73.44

(0.919) 121.185 (20.04) (44.698) ( 72.09

(6.923) 110.553 (20.13) (45.452) ( 70.76

(0.926) 101.026 (20.23) (46.200) ( 69.44

(6.930) 92.469 (20.32) (46.941) ( 68.14

(0.934) 84.768 (20.42) (47.677) ( 66.85

(0,937) 77.822 (20.52) (48.407) ( 65.57

(0.941) 71.547 (20.63) (49.130) ( 64.31

(6.945) 65.865 (20.73) (49.848) ( 63.05

(6.948) 60.711 (20.84) (50.560) ( 61.81

(0.952) 56.029 (20.95) (51.266) ( 60.58

(6.956) 51.766 (21.07) (51.967) ( 59.360

(6.959) 47.880 (21.18) (52.661) ( 58.147

(6.963) 44.331 (21.30) (53.350) ( 56.94

(0,966) 41.084 (21.42) (54.032) ( 55.747

(6.969) 38.109 (21.54) (54.709) ( 54.55

(0.972) 35.380 (21.66) (55.379) ( 53.377

(0.975) 32.872 (21.78) (56.043) ( 52.203

(0.978) 30.565) (21.90) (56.700) ( 51.036

(6.981) 28.439) (22.01) (57.350) ( 49.875

(0,984) 26.477) (22.12) (57.992) ( 48.72

(0.987) 24.665) (22.22) (58.626) ( 47.574

(6.989) 22.989) (22.30) (59.250) ( 46.434

NOTE. Data contained in parentheses were calculated by extrapolation of the functio
Table 23. NaCl concentration:

t

(°C)

200.

205.

210.

215.

220.

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

P

(bars)

11.178

12.421

13.769

15.229

16.806

18.506

20.337

22.30*

24.413

26.673

29.090

31.670

34.421

37.351

40.467

43.777

47.289

51.010

54.949

59.114

63.515

( 68.160)

( 73.058)

( 78.219)

( 83.653)

( 89.369)

d

(g cm" )

(1.116)

(1.112)

(1.107)

(1.103)

(1.099)

(1.694)

(1.090)

(1.086)

(1.081)

(1.077)

(1.073)

(1.069)

(1.065)

(1.061)

(1.057)

(1.053)

(1.049)

(1.046)

(1.042)

(1.039)

(1.036)

(1.033)

(1.030)

(1.027)

(1.025)

(1.022)

8.0000 mol /kg HaO

vL

(cm

(0.896)

(6.899)

(6.903)

(0.907)

(0.910)

(6.91*)

(6.918)

(6.921)

(6.925)

(6.928)

(6.932)

(0.936)

(0.939)

(0.943)

(0.9*6)

(0.950)

(6.953)

(0.956)

(6.959)

(6.962)

(0.965)

(0.968)

(6.971)

(0.973)

(6.976)

(6.979)

GV.

V1)

182.877

165.508

150.096

136.386

124.161

113.235

103.4*7

9*. 660

86.75*

79.627

73.190

67.36*

62.081

57.283

52.916

48.936

45.303

41.980

38.937

36.1*6

33.581

( 31.223)

( 29.050)

( 27.0*6)

( 25.195)

( 23.484)

VL

(cm mol

(19.58)

(19.65)

(19.73)

(19.81)

(19.90)

(19.98)

(20.07)

(20.16)

(20.25)

(20.3*)

(20.43)

(20.53)

(20.62)

(20.72)

(20.82)

(20.92)

(21.02)

(21.13)

(21.23)

(21.33)

(21.42)

(21.52)

(21.60)

(21.68)

(21.73)

(21.77)

31.86 wt percent

s^-

*)

(41.354)

(42.133)

(42.905)

(43.671)

(44.429)

(45.182)

(45.928)

(46.668)

(47.401)

(48.129)

(48.851)

(49.566)

(50.276)

(50.980)

(51.678)

(52.369)

(53.055)

(53.735)

(54.408)

(55.074)

(55.734)

(56.386)

(57.031)

(57.667)

(58.294)

(58.911)

^i

(J mor'K

( 78.108

( 76.707

( 75.324

( 73.958

( 72.610

( 71.278

( 69.961

( 68.659

( 67.371

( 66.096

( 64.833

( 63.582

( 62.343

( 61.114

( 59.895

( 58.686

( 57.485

( 56.294

( 55.111

( 53.935

( 52.768

( 51.607

( 50.455

( 49.310

( 48.173

( 47.044

NOTE. Data contained in parentheses were calculated by extrapolation of the function
Table 24.

t

<°C)

225.

230.

235.

240.

245.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

NaCl concentration: 8

P

(bars)

18.098

19.898

21.833

23.909

26.134

28.514

31.057

33.770

36.660

39.734

43.001

46.468

50.144

54.037

58.154

62.506

I 67.100)

( 71.947)

( 77.055)

( 82.435)

( 88.096)

d

(g cm" )

(1.104)

(1.099)

(1.095)

(1.091)

(1.087)

(1.082)

(1.078)

(1.074)

(1.070)

(1.066)

(1.063)

(1.059)

(1.055)

(1.052)

(1.049)

(1.046)

(1.043)

(1.040)

(1.037)

(1.034)

(1.031)

L.

V

(cm

(0.906)

(0.910)

(0.913)

(0.917)

(0.920)

(0.924)

(0.927)

(0.931)

(0.934)

(0.938)

(0.941)

(0.944)

(0.947)

(0.951)

(0.954)

(0.956)

(0.959)

(0.962)

(0.964)

(0.967)

(0.970)

5000 mol/kg HaO 33.19 wt percent 

G L ' L 

v. V[ Sj^ AS

g" ) (cm mol" 1 ) (J mol" 

116.079 (19.83) (44.860) 71.8

106.007 (19.90) (45.604) 70.5

96.969 (19.98) (46.343) 69.2

88.841 (20.06) (47.075) 67.9

81.517 (20.15) (47.802) 66.6

74.904 (20.23) (48.522) 65.4

68.922 (20.31) (49.236) 64.1

63.500 (20.40) (49.944) 62.9

58.577 (20.48) (50.647) 61.6

54.099 (20.57) (51.343) 60.4

50.019 (20.66) (52.033) 59.2

46.295 (20.74) (52.716) 58.0

42.891 (20.82) (53.393) 56.8

39.775 (20.91) (54.064) 55.7

36.918 (20.98) (54.728) 54.5

34.294 (21.06) (55.384) 53.3

( 31.881) (21.12) (56.033) 52.2

( 29.659) (21.18) (56.673) 51.0

( 27.610) (21.21) (57.305) 49.9

( 25.718) (21.23) (57.926) 48.79

( 23.970) (21.22) (58.535) 47.67

NOTE. Data contained in parentheses were calculated by extrapolation of the functio
Table 25.

t

(°C)

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

NaCl concentration:

P

(bars)

27.925

30.431

33.105

35.955

38.989

42.215

45.639

49.271

53.119

57.191

61.497

( 66.044)

( 70.842)

( 75.902)

( 81.233)

( 86.844)

d

(g cm" )

(1.091)

(1.087)

(1.083)

(1 4 079)

(1.075)

(1.671)

(1.068)

(1.064)

(1.661)

(1.057)

(1.054)

(1.051)

(1.048)

(1.045)

(1.042)

(1.039)

9

VL

(cm

(0.916)

(6.920)

(6.923)

(0.927)

(0.930)

(6.933)

(6.937)

(6.940)

(6.943)

(6.946)

(0.949)

(0.951)

(6.954)

(0.957)

(0.959)

(0.962)

0000 mol/kg H O

vG

g")

76.733

70.579

65.004

59.944

55.344

51.155

47.333

43.841

40.645

37.716

35.027

( 32.555)

( 30.280)

( 28.183)

( 26.248)

( 24.459)

VL

(cm mol

(20.02)

(20.10)

(20.17)

(20.24)

(20.31)

(20.38)

(20.45)

(20.51)

(20.58)

(20.63)

(20.66)

(20.71)

(20.74)

(20.74)

(20.72)

(20.65)

34.47 wt percent

^ AS

) (Jmo

(48.140)

(48.854)

(49.561)

(50.262)

(50.957)

(51.646)

(52.329)

(53.004)

(53.673)

(54.335)

(54.989)

(55.635)

(56.272)

(56.900)

(57.516)

66.04

64.79

63.55

62.32

61.11

59.90

58.70

57.52

56.34

55.17

54.01

52.85

51.71

50.58

49.45

(58.119) ( 48.34

NOTE. Data contained in parentheses were calculated by extrapolation of the functio
Table 26 . NaCl concentration:

t P

(°C) (bars)

260. 32.813

265. 35.646

270. 38.663

275. 41.870

280. 45.277

285. 48.891

290. 52.719

295. 56.772

300. 61.058

305. ( 65.586)

310. ( 70.365)

315. ( 75.404)

320. ( 80.715)

325. ( 86.306)

d

(g cm' )

(1.087)

(1.083)

(1.079)

(1.075)

(1.071)

(1.068)

(1.064)

(1.061)

(l.Ot-8)

(1.054)

(1.051 )

(1.048)

(1.045)

(1.042)

9

L

V

3

(cm

(0.920)

(0.924)

(0.927)

(0.930)

(6.934)

(0.937)

(0.940)

(0.943)

(0.946)

(0.948)

(0.951)

(0.954)

(0.957)

(0.960)

.2135 mol/kg HaO 35.00 wt percent 

GV

g - 1 )

65.683

60.560

55.904

bl.664

47.797

44.265

41.033

38.071

35.352

( 32.854)

( 30.555)

( 28.436)

( 26.480)

( 24.673)

vL SIL aSi 

(cm mol" 1 ) (Jmol" l 

(20.07) (49.381) 63.84

(20.13) (50.0B2) 62.61

(20.20) (50.777) 61.40

(20.26) (51.465) 60.19

(20.32) (52.147) 58.99

(20.38) (52.822) 57.81

(20.43) (53.491) 56.63

(20.48) (54.152) 55.464

(20.51) (54.805) 54.304

(20.54) (55.450) 53.152

(20.55) (56.086) 52.010

(20.53) (56.712) 50.87

(20.49) (57.327) 49.756

(20.41) (57.927) ( 48.646

NOTE. Data contained in parentheses were calculated by extrapolation of the functions 
Table 27.

t

(°C)

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

Table 28.

t

(°C)

290.

295.

300.

305.

310.

315. 

320.

325.

NaCl concentration: 9.5000 mol/Rg H O 35.70 wt percent 

P

(bars)

38.213

41.396

44.778

48.366

52.170

56.197

60.456

64.957)

69.710)

74.722)

80.006)

85.570)

d vL vG VtL S^ l^ 

331 31 

(g cm" ) (cm g" ) (cm mol" ) (J mol" 

(1.083) (0.923) 56.691 (20.05) (50.518) -( 61.81

(1.079) (6.927) 52.380 (20.10) (51.206) 60.60

(1.075) (6.930) 48.449 (20.15) (51.888) 59.40

(1.072) (6.933) 44.859 (20.20) (52.563) 58.22

(1.068) (0.936) 41.575 (20.24) (53.230) 57.04

(1.065) (6.939) 38.566 (20.27) (53.891) 55.87

(1.062) (0.942) 35.806 (20.29) (54.543) 54.71

(1.059) (0.945) ( 33.270) (20.30) (55.187) 53.56

(1.056) (0.947) I 30.936) (20.29) (55.822) 52.42

(1.052) (0.950) ( 28.786) (20.25) (56.446) 51.29

(1.049) (6.953) ( 26.803) (20.18) (57.058) 50.17

(1.046) (0.956) ( 24.970) (20.07) (57.656) ( 49.06

NaCl concentration: 10.0000 mol/kg fcj O 36.89 wt percent 

P

(bars)

51.156

55.136

59.348

( 63.801)

( 68.505)

( 73.469) 

( 78.704)

( 84.220)

d vL v° 7L S^ AS

(g cm ) (cm g ) (cm mol ) (J mol 

(1.075) (0.930) 42.604 (19.89) (52.731) 57.82

(1.072) (0.933) 39.506 (19.89) (53.391) 56.65

(1.068) (0.936) 36.665 (19.89) (54.042) 55.49

(1.065) (0.939) 34.055) (19.87) (54.685) 54.34

(1.062) (0.942) 31.656) (19.82) (55.317) 53.20

(1.058) (0.945) 29.446) (19.75) (55.939) 52.07

(1.055) (0.948) 27.408) (19.64) (56.547) 50.95

(1.051) (0.952) 25.527) (19.47) (57.140) 49.85

NOTE. Data contained in parentheses were calculated by extrapolation of the functio
Table 29. Halite - saturated NaCl solutions, concentrations in wt percent.

X

wt 

percent

37.473

37.596

37.725

37.859

27.998

28.143

28.293

28.448

38.608

38.774

38.945

29.122

29.304

29.491

29.683

PO 0o 1 C 7 QO 1

30.084

30.292

30.505

30.724

30.948

31.178

31.413

31.653

t

<°C)

80.

85.

90.

95.

100.

105.

110.

115.

130.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

P

(bars)

0.353

0.431

0.522

0.629

0.754

0.897

1.063

1.253

1.470

1.716

1.994

2.308

3.659

3.053

3.491

3.978

4.516

5.111

5.765

6.483

7.368

8.135

9.058

10.073

d

(g cm" )

1.177

1.175

1.173

1.171

1.168

1.166

1.163

1.161

1.158

1.156

1.153

1.151

1.148

1.145

1.143

1.140

1.137

(1.135)

(1.133)

(1.130)

(1.137)

(1.124)

(1.122)

(1.119)

vL

(cm

0.849

0.851

0.853

0.854

0.856

6.858

0.860

6.861

0.863

6.865

0.867

0.869

0.871

0.873

0.875

0.877

0.879

(0.881)

(6.883)

(0.885)

(0.887)

(6.889)

(0.892)

(0.894)

v°

g")

4582.148

3806.274

3181.029

2673.933

3360.131

1930.473

1640.310

1407.499

1313.35V

1050.590

913.471

797.433

698.800

614.610

542.457

480.377

426.766

380.301

339.890

304.627

273.758

246.652

222.778

201.691

VL

3 - 1

(cm mol )

18.30

18.34

18.39

18.43

18.48

18.53

18.58

18.63

18.68

18. 7J

18.78

18.84

18.89

18.95

19.01

19.06

19.12

(19.18)

(19.24)

(19.29)

(19.35)

(19.41)

(19.46)

(19.52)

SL

20.405

21.428

23.438

33.434

34.418

35.390

36.345

37.386

38.313

29.125

30.625

30.911

31.785

32.646

33.495

34.333

35.156

(35.970)

(36.771)

(37.562)

(38.341)

(39.109)

(39.865)

(40.611)

V5,

(Jmol^

119.22

116.99

114.83

112.71

110.65

108.64

106.68

104.78

102.91

101.10

99.32

97.59

95.89

94.23

92.61

91.03

89.47

87.95

86.46

85.00

83.57

82.17

80.79

( 79.44
31.898 200.

33.149 205.

32.405 210.

32.666 215.

32.932 220.

33.204 225.

33.481 230.

33.764 235.

34.052 240.

34.345 245.

34.643 250.

34.947 255.

35.256 260.

35.570 265.

35.889 270.

36.214 275.

36.544 280.

36.880 285.

37.221 290.

37.567 295.

37.918 300.

38.275 305.

38.637 310.

39.004 315.

39.376 320.

39.754 325.

11.170

12.357

13.639

15.019

16.502

18.093

19.797

21.619

23.564

25.636

27.841

30.183

32.668

35.301

38.086

41.029

44.133

47.404

50.845

54.461

58.253

< 62.226)

( 66.379)

( 70.713)

( 75.227)

( 79.918)

(1.116)

(1.114)

(1.111)

(1.109)

(1.106)

(1.104)

(1.102)

(1.099)

(1.097)

(1.095)

(1.092)

(1.090)

(1.088)

(1.086)

(1.084)

(1.082)

(1.081)

(1.079)

(1.677)

(1.075)

(1.073)

(1.071)

(1.069)

(1.066)

(1.063)

(1.058)

(0.896)

(6.898)

(0.900)

(6.902)

(6.904)

(0.906)

(6.908)

(6.910)

(6.912)

(6.914)

(0.915)

(6.917)

(6.919)

(6.921)

(0.922)

(0.924)

(0.925)

(0.927)

(6.929)

(6.930)

(0.932)

(0.933)

(6.935)

(0.938)

(6.941)

(6.945)

183.015

166.429

151.662

138.481

126.689

116.113

106.608

98.047

90.320

83.332

77.000

71.251

66.023

61.261

56.916

52.945

49.311

45.982

42.927

40.121

37.542

( 35.168)

( 32.983)

( 30.971)

( 29.118)

( 27.411)

(19.57)

(19.63)

(19.66)

(19.73)

(19.78)

(19.83)

(19.87)

(19.91)

(19.94)

(19.97)

(19.99)

(20. 01)

(20.02)

(20.02)

(20.00)

(19.98)

(19.93)

(19.87)

(19.78)

(19.67)

(19.52)

(19.33)

(19.08)

(18.77)

(18.37)

(17.86)

(41.346)

(42.670)

(42.783)

(43.485)

(44.176)

(44.856)

(45.524)

(46.181 )

(46.827)

(47.461)

(48.083)

(48.692)

(49.289)

(49.873)

(50.443)

(51.000)

(51.541)

(52.067)

(52.576)

(53.067)

(53.539)

(53.990)

(54.417)

(54.818)

(55.189)

(55.523)

78.124)

76.824)

75.548)

74.295)

73.065)

71.858)

70.672)

69.507)

68.363)

67.240)

66.138)

65.055)

63.993)

62.952)

61.931)

60.931)

59.952)

58.995)

58.061)

57.151)

56.267)

55.411)

54.585)

53.793)

53.041)

52.333)

NOTE. Data contained in parentheses were calculated by extrapolation of the functions 
X

(molal)

6.481

6.522

6.564

6.608

6.654

6.701

6.751

6.803

6.857

6.913

6.970

7.030

7.092

7.157

7.223

7.292

7.362

7.436

7.511

7.589

7.669

7.752

7.837

7.924

Table 30

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

140.

145.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

Halite - saturated NaCl solutions, concentrations itfmol/kE H O (molal).

P

(bars)

0.353

0.431

0.522

0.629

0.754

0.897

1.063

1.253

1.470

1.716

1.994

2.308

2.659

3.053

3.491

3.978

4.516

5.111

5.765

6.483

7.268

8.125

9.058

10.072

d

(g cm" )

1.177

1.175

1.173

1.171

1.168

1.166

1.163

1.161

1.158

1.156

1.153

1.151

1.148

1.145

1.143

1.140

1.137

(1.135)

(1.132)

(1.130)

(1.127)

(1.124)

(1.122)

(1.119)

L

V

(cm

0.849

0.851

0.853

6.854

0.856

0.858

6.860

6.861

0.863

0.865

0.867

0.869

0.871

0.873

0.875

0.877

0.879

(0.881)

(U.883)

(0.885)

(6.887)

(0.889)

(0.892)

(6.894)

GV.

g" 1)

4582.148

3806.274

3161.029

2673.933

2260.131

1920.473

1640.210

1407.499

1213.359

1050.590

913.471

797.432

698.800

614.610

542.457

480.377

426.766

380.301

339.890

304.627

273.758

246.652

222.778

201.691

V L

(cm mol

18.30

18.34

18.39

18.43

18.48

18.53

18.58

18.63

18.66

18.73

18.78

18.84

18.89

18.95

19.01

19.06

19.12

(19.18)

(19.24)

(19.29)

(19.35)

(19.41)

(19.46)

(19.52)

a

^

)

20.405

21.428

22.438

23.434

24.418

25.390

26.345

27.286

28.212

29.125

30.025

30.911

31.785

32.646

33.495

34.332

35.156

(35.970)

(36.771)

(37.562)

(38.341)

(39.109)

(39.865)

(40.611)

AS,

(J mol" 1 K

119.226

116.999

114.831

112.718

110.657

108.647

106.689

104.780

102.918

101.100

99.325

97.590

95.895

94.238

92.617

91.031

89.478

»T .957

36.468

85.006

83.577

62.174

60.798

79.449
8.014 200.

8.107 205.

8.203 210.

8.301 215.

8.402 220.

8.506 225.

8.613 230.

8.722 235.

8.835 240.

8.951 245.

9.070 250.

9.192 25S.

9.317 260.

9.446 265.

9.579 270.

9.715 275.

9.854 280.

9.997 285.

10.145 290.

10.296 295.

10.451 300.

10.610 305.

10.774 310.

10.941 315.

11.114 320.

11.291 325.

11.170

12.357

13.639

IS. 019

16.502

18.093

19.797

21.619

23.564

25.636

27.841

30.183

32.668

35.301

38.086

41.029

44.133

47.404

50.845

54.461

58.253

( 62.226)

( 66.379)

( 70.713)

( 7S.227)

( 79.918)

(1.116)

(1.114)

(1.111)

(1.109)

(1.106)

(1.104)

(1.102)

(1.099)

(1.097)

(1.095)

(1.092)

(1.090)

(1.088)

(1.086)

(1.084)

(1.082)

(1.081)

(1.079)

(1.677)

(1.075)

(1.073)

(1.071)

(1.069)

(1.066)

(1.063)

(1.058)

(0.896)

(6.898)

(0.900)

(0.902)

(0.904)

(0.906)

(0.908)

(0.910)

(6.912)

(0.914)

(0.915)

(0.917)

(6.919)

(0.9.21)

(0.922)

(0.924)

(0.925)

(0.927)

(0.929)

(0.930)

(0.932)

(0.933)

(0.935)

(0.938)

(0.941)

(0.945)

183.015

166.429

151.662

138.481

126.689

116.113

106.608

98.047

90.320

83.332

77.000

71.251

66.023

61.261

56.916

52.945

49.311

45.982

42.927

40.121

37.542

35.168)

32.983)

30.971)

29.118)

27.411)

(19.57)

(19.63)

(19.68)

(19.73)

(19.78)

(19.83)

(19.87)

(19.91)

(19.94)

(19.97)

(19.99)

(20.01)

(20.02)

(20.02)

(20.00)

(19.98)

(19.93)

(19.87)

(19.78)

(19.67)

(19.52)

(19.33)

(19.08)

(18.77)

(18.37)

(17.86)

(41.346)

(42.070)

(42.703)

(43.485)

(44.176)

(44.856)

(45.524)

(46.181)

(46.827)

(47.461)

(48.083)

(48.692)

(49.289)

(49.873)

(50.443)

(51.000)

(51.S41 )

(52.067)

(52.576)

(53.067)

(53.539)

(53.990)

(54.417)

(54.818)

(55.189)

(55.523)

78.124)

76.824)

75.548)

74.295)

73.065)

71.858)

70.672)

69.507)

68.363)

67.240)

66.138)

65.055)

63.993)

62.952)

61.931)

60.931)

59.952)

58.995)

58.061)

57.151)

56.267)

55.411)

54.585)

53.793)

53.041)

52.333)

NOTE. Data contained in parentheses were calculated by extrapolation of the functions