Thermodynamic Properties 

of the Coexisting Phases o

- and Thermochemical Properties 

oi the NaCl Component 

in Boiling XuCl Solulions

(. I. O I. O (. 1 C A L S t : K V I. \ l'» I 1 I I I I N ! 1 L' ! - It

Thermodynamic Properties 

of the Coexisting Phases 

and Thermochemical Properties 

of the NaCl Component 

in Boiling NaCl Solutions

By JOHN L. HAAS, JR.

PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

GEOLOGICAL SURVEY BULLETIN 1421-B

Tables giving the temperature-vapor pressuredensity-molal volume-molal enthalpy-molal 

entropy relations for the coexisting liquid 

and gas and the partial molal volume, 

enthalpy, and entropy of the NaCl component 

in the coexisting phases between 80° and 325° C 

up to saturation in halite

This revised reprint of Bulletin 14&1-B 

supersedes the first printing, 

in December 1976

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

CECIL D. ANDRUS, Secretary

GEOLOGICAL SURVEY 

V. E. McKelvey, Director

First printing 1976 

Revised 1977

j

; 

Library of Congress Cataloging in Publication Data

Haas, John L

Thermodynamic properties of the coexisting phases and thermochemical properties

of the NaCl component in boiling Nad solutions. 

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

B)

Bibliography: p. 

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

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

Title: Thermodynamic properties of the coexisting phases .... II. Series. III. 

Series: United States. Geological Survey Bulletin ; 1421-B.

QE75.B8 no. 1421-B [QD511.8] 557.3'08s [546.'382'24] 76-608097

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

Washington, D.C. 20402 

Stock Number 024-001-03022-5
CONTENTS

Abstract ___ ____ __-- --

Introduction _____________________ ___ _ _ - __ ______ __

Units, symbols, and constants ________ -__ - --

Units and symbols used in tables and text _____ _ 

Fundamental constants used in calculations __ -

Empirical constants used in the text and calculations _ 

Vapor pressure and density of the vapor-saturated liquid phase ____

Thermochemical data for NaCl in the vapor-saturated liquid phase__ 

Synopsis of the theoretical approach _ _ 

Partial molal volume of NaCl in the liquid _._ __ 

The partial molal free energy of NaCl in the liquid ________ 

The partial molal entropy of NaCl in the liquid ____ _______ 

The partial molal enthalpy of NaCl in the liquid ____________

Partial molal thermochemical properties of NaCl in the gas phase _ 

Thermodynamic data for the phases in the H^O-Nad system ___ 

Recommendations for research _______________________________

Tables for NaCl solutions _____________________

References cited _________________________________________

ILLUSTRATIONS

Page

FIGURE 1. The partial molal volume of NaCl in the liquid phase 

for vapor-saturated NaCl solutions from 0 wt percent to halite saturation between 80° and 325° C_ B7

2. Temperature-pressure-concentration diagram for the 

.vapor-liquid coexistence surface of the H^O-NaCl 

system between 80° and 325° C ___________ 8

3. The partial molal free energy of NaCl in the liquid 

phase of vapor-saturated NaCl solutions from 0 wt 

percent to halite saturation between 80° and 325° C__ 11

4. The partial molal entropy of NaCl in the liquid for 

vapor-saturated NaCl solutions from 0 wt percent 

to halite saturation between 80° and 325° C ___ 12

5. The partial molal enthalpy of NaCl in the liquid for 

vapor-saturated NaCl solutions from 0 wt percent 

to halite saturation between 80° and 325° C_____ 13

6. The molal volume of liquid solutions in the H20-NaCl 

system from 0 wt percent NaCl to halite saturation 

between 80° and 325° C ________________ 14

Hi
IV CONTENTS

Page

FIGURE 7. The molal entropy of the gas and the liquid phases in 

the HaO-NaCl system from 0 wt percent NaCl to 

halite saturation in the liquid phase between 80° 

and 325° C ________________________ B15 

8. The molal enthalpy of the gas and the liquid phases in 

the HaO-NaCl system from 0 wt percent to halite 

saturation in the liquid phase between 80° and 325° 

C ______________________________ 16

TABLES

Page 

TABLES 1-28. NaCl concentration:

1. 0.0000 mol/kg H20, 0.00 wt percent, 0.000 mol

percent ______________________ B22

2. 0.5000 mol/kg H20, 2.84 wt percent, 0.893 mol

percent ______ _ _________________ 24

3. 0.9006 mol/kg H2 0, 5.00 wt percent, 1.597 mol

percent ____________________ 26

4. 1.0000 mol/kg H20, 5.52 wt percent, 1.770 mol

percent __ ____ 28

5. 1.5000 mol/kg H20, 8.06 wt percent, 2.631 mol

percent _____ _ _ _____ ____ 30

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

percent ______________________ 32

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

percent ______________________ 34

8. 2.5000 mol/kg H20, 12.75 wt percent, 4.310 mol

percent ___________ __________ 36

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

percent __________________ 38

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

percent ____________________ 40

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

percent ____________________ 42

12. 4.0000 mol/kg H20, 18.95 wt percent, 6.722 mol

percent _____ _____________ 44

13. 4.2777 mol/kg H2O, 20.00 wt percent, 7.155 mol

percent _____ ___________ 46

14. 4.5000 mol/kg H20, 20.82 wt percent, 7.499 mol

percent ____________________ 48

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

percent ___________________._ 50

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

percent _____________________ 52

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

percent ______________:______ 54

18. 6.0000 mol/kg H20, 25.96 wt percent, 9.755 mol

percent _____________________ 56
CONTENTS V

Page 

TABLES 1-28. NaCl concentration Continued

19. 6.5000 mol/kg H20, 27.53 wt percent, 10.482

mol percent _ _ B58

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

mol percent __ ___ ____ __ 60

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

mol percent ____________ _ - 61

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

mol percent'.. 62

23. 8.0000 mol/kg H20, 31.86 wt percent, 12.597

mol percent ______ . _ 63

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

mol percent __ 64

25. 9.0000 mol/kg H20, 34.47 wt percent, 13.952

mol percent ____________________ 65

26. 9.2135 mol/kg H2 0, 35.00 wt percent, 14.235

mol percent ________: ______ __ 66

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

mol percent __________________ _ 67

28. 10.0000 mol/kg H20, 36.89 wt percent, 15.265

mol percent ________________ 67

29. Halite-saturated NaCl solutions, concentrations in

wt percent ________________________ 68

30. Halite-saturated NaCl solutions, concentrations in mol

NaCl/kg H20 (molal) _________________ __ 70
METRIC-ENGLISH EQUIVALEN

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 (m2 ) .= 10.76 square feet (ft2 ) 

square kilometre (km2 ) = .386 square mile (mi2 ) 

hectare (ha) = 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 

10« gal) 

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

Weight

gram (g) 

gram 

tonne (t) 

tonne

 0.035 ounce, avoirdupois (oz avclp) 

= .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 

(m3/s)

 0.96 atmosphere (ntm) 

= .98 bar (0.9869 atm) 

= 35.3 cubic feet per second (ft3/s)

Metric unit

Speci

litre per second (1/s) 

cubic metre per second 

per square kilometre 

[(m3/s)/km2 ]

metre per day (m/cl)

metre per kilometre 

(m/km) 

kilometre per hour 

(km/h) 

metre per second (m/s

metre squared per day 

(myd)

cubic metre per second 

(m3/s)

cubic metre per minute 

(m3/min) 

litre per second (1/s) 

litre per second per 

metre [(l/s)/m]

kilometre per hour 

(km/h) 

metre per second (m/s

gram per cubic 

centimetre (g/crn3 ) 

gram per square 

centimetre (g/cin2 ) 

gram per square 

centimetre

degree Celsius (°C) 

degrees Celsius 

(temperature)
PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

THERMODYNAMIC PROPERTIES

OF THE COEXISTING PHASES AND

THERMOCHEMICAL PROPERTIES

OF THE NaCl COMPONENT IN

BOILING NaCl SOLUTIONS

By JOHN L. HAAS., JR.

ABSTRACT

Preliminary steam tables that give the thermodynamic data for the coexisting liquid and gas and that give the thermochemical data for the NaCl 

component in the liquid for the system H«0-NaCl are given for liquid concentrations between 0 mol NaCl/kg H20 and halite saturation at temperatures 

between 80° and 325° C. The tables were calculated from parametric equation of state.

INTRODUCTION

The tables assembled present the thermochemical properties of 

aqueous NaCl in the vapor-saturated liquid phase and the thermodynamic properties of the coexisting liquid and gas phases for the 

H2 0-NaCl system as follows :

partial molal volume of NaCl in the liquid,

partial molal entropy of NaCl in the liquid,

partial molal enthalpy of NaCl in the liquid,

molal volume of the liquid,

molal entropy of the liquid,

difference between the molal entropy of the liquid and the

molal entropy of the gas, 

molal entropy of the gas, 

molal enthalpy of the liquid, 

difference between the molal enthalpy of the liquid and the

molal enthalpy of the gas, 

molal enthalpy of the gas.

Bl
B2 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

The data are tabulated for liquid compositions from 0 mol 

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

325° C. As an aid in using the tables, the vapor pressure and the 

density of the liquid are also given. These tables complement the 

steam tables prepared by Haas (1976) in which the physical 

properties of the solutions and the thermochemical data for H2 0 

are tabulated.

The tables presented here are preliminary. The functions upon 

which they are based represent a reasonably complete analysis of 

the available data through 1971. Improvement can be made when 

measurements and analysis are completed on the volumetric properties of vapor-saturated and vapor-absent liquid at high temperatures and at concentrations of more than 30 wt percent NaCl. 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 in geochemical and engineering 

studies related to the geothermal energy program of the United 

States. Support for this work has come exclusively from the U.S. 

Geological Survey's geothermal research program.

UNITS, SYMBOLS, AND CONSTANTS

UNITS AND SYMBOLS IN TABLES AND TEXT

The chosen units in the tables for temperature, pressure, and 

density are °C, bars, and g cm- 3 , respectively. These are the same 

as those used in several widely referenced steam tables (Bain, 

1964; Keenan and others, 1969). The partial molal and the molal 

entropy, enthalpy, and volume are given as J mol~ 1K~1 , J mol" 1 , 

and cm3 mol" 1 , respectively, because these units are 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 the maximum use of the tables.

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

this text and in the tables are as follows:

Quantity Symbol Units

activity a

fitted parameter in the activity B kg H20/mol NaCl

coefficient function (eq 12) 

fitted parameter in the activity C (kg H20/mol NaCl) 2

coefficient function (eq 12)

heat capacity at constant pressure Cf J mol^K"1 

density d g cm"a 

dielectric constant for pure H20 D 

molal free energy G J mol"1
NaCl COMPONENT IN BOILING NaCl SOLUTIONS B3

Quantity Symbol

molal enthalpy H 

equilibrium constant K 

mole fraction of NaCl N 

pressure p 

generalized thermodynamic quantity Q 

molar gas constant R 

temperature t

T

molal volume V 

molecular weight W 

concentration of NaCl in the liquid x 

Debye-Hiickel limiting slope a 

fitted parameter in activity coeffi- ft

cient function (eq 12) 

activity coefficient 7 

number of moles of ions per mole v

of NaCl in solution

Units

J mol'

J mol-'K"1

degrees Celsius, °C

kelvins, K

cm" 8 mol"1

g mol"1

mol NaCl/kg H2 0 (molal)

(kg H.O/mol NaCl)*

(kg H.O/mol NaCl) 1'4

kg H.O/mol NaCl 

moles Na+ + moles Cl" per 

mole dissolved NaCl

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

SUSolrt 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.

0 The superscripted quantity is an attribute of the chemical 

species in the standard state.

* The symbol is a generalized symbol representing the superscripts G and L above.

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

Subscript 

symbol Connotation

The subscripted quantity is a partial quantity for the 

component H20.

The subscripted quantity is a partial quantity for the 

component NaCl.

The subscripted quantity is an attribute of the pure substance HsO.

The subscripted quantity is a measure of the difference in 

the thermochemical property between the compound in 

its standard state and its component elements in their 

standard states.

FUNDAMENTAL CONSTANTS USED IN CALCULATIONS

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

the International Council of Scientific Unions gives the molar gas 

constant^ as (8.31441 ±0.00026) J
The Commission on Atomic Weights (1972) gives the following atomic weights:

H (1.0079±0.0001) gmol- 1

0 (15.9994±0.0003) gmol- 1

Na (22.98977±0.00001) gmol- 1

Cl (35.453±0.001) gmol- 1

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

H2O W1 =(18.0152±0.0005) gmol- 1 

Nad W2 = (58.4428±0.0010) gmol- 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 constants are as 

follows:

Equation 9:

go = 1.895555 XlO3 

g!=-1.944135 

g2 =-7.343150 XlO7 

g3 =-9.938067 XlO3

Equation 16:

Bo = 4.43570 XlO- 2 

#! = 2.14240 XlO- 4 

£2 =-1.21582xlO- 6

Equation 17:

C0 = 4.86989 XlO- 3 

Ci=- 6.65184 XlO- 5 

C2 = 1.69534 XlO- 7

Equation 18:

For temperatures at and below 100°C the constants are the 

following:

0o = 0.980075

01 = 0.707654 XlO- 2

02 =-2.97433 XlO- 5

For temperatures above 100°C the constants are the following:

00 = 1.64801

ft =-2.83246 XlO- 3
NaCl COMPONENT IN BOILING NaCl SOLUTIONS B5

VAPOR PRESSURE AND DENSITY OF THE VAPORSATURATED LIQUID PHASE

The functions for the vapor pressure and density were given in 

Haas, 1976. They are not repeated here because there has been 

no change.

THERMOCHEMICAL DATA FOR NaCl IN THE VAPORSATURATED LIQUID PHASE

SYNOPSIS OF THE THEORETICAL APPROACH

An attribute of steam tables is that differences in the energy 

content between two states of matter can be calculated by simple 

subtraction of the data in the tables. The ease in calculation results from all values in the tables being given as the energy difference between the state of the compound at temperature and 

pressure and the reference temperature and reference pressure. 

For H2 0 in the NaCl-H2 0 system such values were comparatively 

easy to derive because the thermodynamics for the pure component 

H2 0 had been established (Bain, 1964; Keenan and others, 1969). 

It only remained to determine the appropriate departure that dissolved NaCl would cause relative to the pure H2 0 system.

For the NaCl component, no approach has been established. 

First, a reference state must be chosen. In this set of tables, the 

chosen reference state is the hypothetical ideal NaCl solution of 

unit molality at the ice liquid vapor triple point for pure H2 0.

With the reference state established, calculation of energy differences between any arbitrary temperature, pressure, and composition and the chosen reference state can be made. The approach 

used here is as follows:

1. The partial molal volume of NaCl was obtained from a density temperature composition function for the vaporsaturated NaCl liquid phase.

2. The partial molal free energy of NaCl in the hypothetical ideal 

1-molal liquid as a function of temperature and pressure 

was obtained.

3. The dependence of the partial molal free energy of NaCl with 

composition at constant temperature and pressure was obtained.

4. The dependence of the partial molal free energy of NaCl with 

pressure at constant temperature and composition was obtained.
B6 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

5. Then, using the relation

82= 1+Fj ?- (1)

the partial molal entropy at temperature, pressure, and composition was calculated.

6. The partial molal enthalpy of NaCl at temperature, pressure, 

and composition was obtained from

(2)

Each of these steps is described in further detail in the following sections.

PARTIAL MOLAL VOLUME OF NaCl IN THE LIQUID

The partial molal volume of NaCl in the binary liquid system 

is given by equation 3.

(cm'mol- 1 ) (3)

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

of molecules. The term NL is the mole fraction of NaCl in the 

liquid phase and is given by equation 4 in terms of x, the molality 

of the solution, c

W = - (4) 

1000/17! + x

Wl is the molecular weight of H2 0. The molal volume VL of an 

x molal liquid of density d is given by equation 5.

d 1000/Wi + a;

The partial molal volume of NaCl, Ff , was obtained by using 

equations 3 through 5, given here, the equations for density of 

the liquid phase in the preceding report (Haas, 1976, equations 7 

through 10) , and standard analytical techniques.

Figure 1 shows the partial molal volume of NaCl in the liquid 

at constant composition. The contour interval is 5 wt percent NaCl.

THE PARTIAL MOLAL FREE ENERGY OF NaCl IN THE LIQUID

Figure 2 shows graphically the route which was taken through 

temperature-pressure-composition space to obtain the partial 

molal free energy at an arbitrary temperature, pressure, and composition (point D) from the reference state at 0.01° C (point A).
NaCl COMPONENT IN BOILING Nad SOLUTIONS B7

uj 75.00 i 

o

S

£ 50.00

CO

LU 

DC.

j 25.00

P^

z

LU

o 0.00

CO

^> 

o

- -25.00

LU

S =>

5 -50.00 

| 

^ -75.00

:-100.00

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 1. The partial molal volume of NaCl in the liquid phase for vapofsaturated NaCl solutions from 0 wt percent to halite saturation between 

80° and 325° C. The contour interval is 5 wt percent NaCl. The stippled 

zone was calculated by the extrapolation of the functions given in the text.

Steps 2, 3, and 4 in the synopsis above correspond to the segments 

AB, BC, and CD on the figure.

Step 2 of the approach, given in the section entitled "Synopsis 

of the theoretical approach," involved the derivation of a partial

molal free energy function for aqueous NaCl, AG2 (AB), in the 

hypothetical ideal liquid solution of unit molality, that is, in the 

solute standard state, relative to the reference-state partial molal

free energy at the triple point where G2 is defined to be 0.0 

J mol" 1 . 1 To accomplish this, consider here the interrelations between free energy, temperature, pressure, entropy, enthalpy, heat 

capacity, and partial molal volume. By using equations 1 and 2 

and the relation between enthalpy and heat capacity, equations 6 

through 8 were derived.

1 As used in this report, the reference state for a chemical species is an arbitrarily chosen 

single point on the temperature, pressure, and composition scales which is taken as the 

zero point for the energy scale. That is. the thermochemical parametei's of free energy, 

enthalpy, and entropy are defined to be zero at this point. In contrast, as used here (and 

also as in many applications in aqueous chemistry), the standard state for a dissolved compound in H^O is taken as the hypothetical ideal liquid solution of unit molality at the 

temperature and pressure of the vapor-saturated pure H^O liquid. In this standard state, 

the partial molal free energy, enthalpy, and heat capacity of the dissolved compound is the 

same as that for the infinitely dilute real solution. The advantage of a standard state .in 

aqueous chemistry is that it allows correlations of properties as a function of composition 

at constant temperature and pressure, whereas a reference state is necessary when correlations or calculations in temperature-pressure-composition space are being made.
B8 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

. /-. / ' , <o / / /

/ / '/S'30^ / / 7 3 

1 i i I I T~ J -' / i / J ! ''.' ' ic/ -?-?

7

350

0 2 4 6 8 10 12 

CONCENTRATION, IN MOLES

FIGURE 2. Temperature pressure concentration diagram for the vaporliquid coexistence surface of the H2 0 NaCl system between 80° and 325° 

C. The surface is contoured both in temperature (50° intervals) and concentration (1-molal intervals). The concentration contours are truncated by 

the focus of the three-phase coexistence liquid vapor halite at high concentrations. The blank vertical plane between 250° and 300° C represents 

an arbitrary isotherm upon which lie the points B, C, and D and the heavy 

solid lines connecting them. Steps 2, 3, and 4 of the chosen approach represent the temperature pressure composition paths AB, BC, and CD, respectively, along which partial molal free energy functions were sought. 

The combination of these functions then gives the partial molal free energy 

of NaCl at the arbitrary point D relative to the reference state at A, the 

triple point of pure H20.

(6)

(7)

.= -T- (8)

Internal consistency demands that any free-energy function 

must satisfy the above relations and the available data for the 

hypothetical ideal 1-molal solution. The available data were
Nad COMPONENT IN BOILING NaCl SOLUTIONS B9

evaluated, subject to the.above constraints, by use of a computerized algorithm described by Haas and Fisher (1976).

The data used in the evaluation are as follows. For the partial 

molal volume of dissolved NaCl, the function given in the previous 

section was used. Data for the relations between halite and dissolved NaCl and for dissolved NaCl, all in their standard states, 

were taken from the following references:

Reference

Committee on Data for 

Science and Technology 

(1973a).

Likke and Bromley (1973) __ 

Criss and Cobble (1961) __ 

Gardner and others (1969) __ 

Liu and Lindsay (1972) ____

Data type

Si (298.15K)

AG». i (298.15K) 

o

Op, 2

A//°[halite=:NaCl(aq)] 

AH°[halite=NaCl(aq)] 

log K°[halite=NaCl(aq)]

Number Temperaof ture

observa- range

tions (°C)

1

1

7

13

3

10

25

25

80-200

0-95

114-200

75-300

Stull and Prophet (1971) _ CP, S, (Hr-H ) [halite] Tabulated data,

100° intervals,

25-727.

The partial molal free energy of the hypothetical ideal 1-molal 

solution as a function of temperature is given by equation 9; the 

constants are tabulated in the section entitled "Empirical constants used in the text and the calculations."

&G2L (AB)=g0 (T-T In T-273.16 + 273.16 In 273.16) -5r 1 (2l2 -273.162 )

-flf2 (l/2r-l/2x273.16)

-03 (r-273.16) (Jmol- 1 ) (9)

The procedure of Haas and Fisher (1976) uses 25° C (298.15K) 

as the reference temperature. Therefore, the free-energy function 

has been corrected to reflect the shift in the reference temperature 

to 0.01° C (273.16K) for use here.

Step 3 of the chosen approach for deriving the thermochemical 

functions requires the description of the change in the free energy

with concentration, AG2J (5C), at constant temperature and pressure. This dependence is given by equations 10 and 11.

(10)

(11)

where R is the molar gas constant and a2 and y are the activity 

and activity coefficient, respectively, for the dissolved NaCl at 

point C relative to the standard state, the hypothetical ideal 1-
BIO PRELIMINARY STEAM TABLES FOR Nad SOLUTIONS

molal solution, point B. Liu arid Lindsay (1972) gave the following equations for the temperature and concentration dependence 

of In y at the vapor-saturation pressure for pure H2 0.

ln y = ~ aXA + 2Bx + -Cx2 (12)

2

B, C, and £ are second-order polynomials in temperature and « 

is the Debye-Hiickel limiting slope :

1

13/2 

 ^ ^ (13) |~2.33752-104T lA 

L DT J

The term d0 is the density of pure H2 0 and, for use in this calculation, d0 is described by :

do = 1.00157 - 1.56096 W~*t - 2.69491 10-°i2 (g cm- 3 )

(14)

The term D is the dielectric constant for pure H2 0 as given by 

the Akerlof equation :

5321'

+233.76-0.9297 T + 1.417 10- 3 7T2 -8.292-10-T3 

T

(15)

The functions for B, C, and /J are, respectively,

(16)

(17)

(18)

The constants Bit Cit and fa are given in the section entitled "Empirical constants used in the text and calculations."

Step 4 of the chosen approach for deriving the thermochemical 

functions requires the description of the change in the partial

molal free energy with pressure, AG2 (CD), at constant temperature and composition. Basic thermodynamic principles state that 

the pressure dependence of free energy is :

-dG = V-dp (19) 

Therefore,

V2 dp (20)

Po

where p0 and p are the vapor pressures of H2 0 and of the liquid 

solution, respectively. The dependence of the partial molal volume 

of dissolved NaCl with pressure in the vapor-absent liquid is unavailable, but the change in V2 with pressure is small relative to
NaCl COMPONENT IN BOILING NaCl SOLUTIONS Bll

the total magnitude of this correction. Therefore, by neglecting

the pressure dependence of V2 , equation 20 can be approximated 

by

&G% (CD) = V2 (Po~p) (21)

In summary, the partial molal free energy of aqueous NaCl at 

an arbitrary temperature, pressure, and composition relative to 

the reference state at 0.01 °C is given by summing equations 9, 

11, and 21.

G2 =*G2 (AB)+*G2 (BC)+*G2 (CD) (Jmol- 1 ) (22) 

Figure 3 shows the partial molal free energy of NaCl in the 

liquid at constant composition. The contour interval is 5 wt percent NaCl.

THE PARTIAL MOLAL ENTROPY OF NaCl IN THE LIQUID

The partial molal entropy at an arbitrary temperature, pressure, and composition was calculated using equation 1:

 +v>- (i)

10.00

0.00 i

_ 10.00

^ »

si- 20.00

: -30.00

-40.00

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 3. The partial molal free energy of NaCl in the liquid phase of 

vapor-saturated NaCl solutions from 0 wt percent to halite saturation between 80° and 325° C. The contour interval is 5 wt percent NaCl. All contours between 5 wt percent and halite saturation are systematic. Below the 

5 wt percent contour, there is a reversal in the free-energy function so that 

the partial molal free energy of aqueous NaCl at infinite dilution lies above 

the partial molal free energies of NaCl at greater concentrations. For details, one is referred to the tables. The shaded zone at concentrations greater 

than 30 wt percent and at temperatures greater than 300° C contains data 

.that were calculated by the extrapolation of the functions given in the text.
The term was obtained, analytically, from equation 22

above; the term V2 was obtained from equation 3; and the term 

'dp/'dT was calculated in the manner described in the section entitled "Enthalpy difference between the gas and the liquid at constant liquid composition," of the preceding report (Haas, 1976).

Figure 4 shows the partial molal entropy of NaCl in the liquid 

phase at constant composition. The contour interval is 5 wt percent NaCl.

The surface depicted on figure 4 is complicated as can be seen 

by the crossover of the concentration contours as temperature decreases. For details, the reader is referred to the appropriate 

tables. The erratic behavior of the contours near 110° C is due to 

the use of two sets of constants to fit the empirical term ft in the 

activity coefficient equation (eq 12). This will be discussed further in the section "Recommendations for research."

THE PARTIAL MOLAL ENTHALPY OF NaCl IN THE LIQUID

The partial molal enthalpy of NaCl was calculated from equation 2 using the previously computed entropy and free energy :

| 100.00

LLJ ^

g 50.00

^ 

oz.

^ 0.00

GO

LLJ

O

I -50.00

i-100.00

j-150.00

i-200.00

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 4. The partial molal entropy of NaCl in the liquid for vapor-saturated 

NaCl solutions from 0 wt percent to halite saturation between 80° and 

325° C. The contour interval is 5 wt percent NaCl. The inflection near 

110° C is due to the use of two sets of constants to describe the fitted constant /? in the activity coefficient equation. The surface is complex. Most 

of the change in the partial molal entropy with change in composition occurs between 0 and 5 wt percent. For details, the reader is referred to the 

tables.
B13

Figure 5 shows the partial molal enthalpy of NaCl in the liquid 

phase at constant composition. The contour interval is 5 wt percent NaCl. The erratic behavior in the contours near 110°C are 

due to the use of two sets of constants to fit the empirical term 

ft in the activity coefficient equation (eq 12). This will be discussed further in the section "Recommendations for research."

'jr

PARTIAL MOLAL THERMOCHEMICAL PROPERTIES OF 

NaCl IN THE GAS PHASE

The available experimental data for the concentration of NaCl 

in the gas phase do not permit the estimation of the partial molal 

quantities of NaCl in the gas phase.

-20 -

-40 -

-60 -

-so -

75 100 125 150 175 200 225 250

TEMPERATURE, IN DEGREES CELSIUS

275 300 325

FIGURE 5. The partial molal enthalpy of NaCl in the liquid for vapor-saturated NaCl solutions from 0 wt percent to halite saturation between 80° 

and 325° C. The contour interval is 5 wt percent NaCl. The inflection near 

110° C is due to the use of two sets of constants to describe the fitted constant /? in the activity coefficient equation. The shaded area contains data 

that were calculated by the extrapolation of the functions given in the 

text.
B14 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

THERMODYNAMIC DATA FOR THE PHASES IN THE 

H2O-NaCl SYSTEM

The molal properties of the liquid and gas phases in the H2 0- 

NaCl system can be calculated readily from the thermochemical 

data for NaCl that were formulated here, and for H2 0 that were 

given in the preceding report (Haas, 1976). The formulation is 

identical for all molal quantities:

'Q= (l N*)Qi+N*Q* (23) 

where Q is the quantity of interest (volume, entropy, enthalpy) 

and N* is the mole fraction of NaCl in phase $. In the liquid 

phase, the mole fraction of NaCl was calculated from the concentration by using equation 4. In the gas phase, the available data

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 6. The molal volume of liquid solutions in the HoO-NaCl system from 

0 wt percent NaCl to halite saturation between 80° and 325° C. The contour interval is 5 wt percent NaCl. As is obvious from the crossing of 

contours, the surface is complex. For details, the reader is referred to the 

tables.
NaCl COMPONENT IN BOILING NaCl SOLUTIONS B15

do not permit the estimation of the mole fraction of NaCl with 

any precision. However, the mole fraction of NaCl in the gas is 

small, being less than or equal to 10-° in most of the temperature pressure composition space covered in this report. Thereci f1

fore, the quantity N Q2 was neglected, and the thermodynamic 

properties of the gas were assumed to be the same as the thermochemical properties of pure H^O at the temperature and pressure of the solution.

Figure 6 shows the molal volume of the liquid phase. The contour interval is 5 wt percent NaCl.

Figures 7 and 8 show the molar entropy and the gas at composition of NaCl in the liquid. The contour interval is 5 wt percent NaCl contained in the liquid phase.

RECOMMENDATIONS FOR RESEARCH

In the preparation of these preliminary steam tables, several 

areas where one can improve the precision and accuracy were

Liquid + Gas

140.00

1120.00

LU:*:

§100.00

s

cc.

LU

£ 80.00

LU

 =>

o

J 60.00

o.

I 40.00

UJ

o 20.00

0.00

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 molal entropy of the gas and the liquid phases in the H-0- 

NaCl system from 0 wt percent NaCl to halite saturation in the liquid 

phase between 80° and 325° C. The contour interval is 5 wt percent NaCl 

in the liquid. The shaded area contains data that were calculated by the 

extrapolation of functions given in the text. The bunching of the contours 

between 300° and 325° C is most probably due to an artifact in the equations which is exaggerated when the partial molal entropy of aqueous NaCl 

is calculated.

Liquid
B16

60

LU

150

ce LU

Q_

GO Af\

LU 40

o 

o 

S 30

z

| 20

z i 

5 10

PRELIMINARY STEAM TABLES FOR Nad SOLUTIONS

i i i i i i i i I

Liquid + Gas

Liquid

75 100 125 150 175 200 225 250 275 300 325

TEMPERATURE, IN DEGREES CELSIUS

FIGURE 8. The molal enthalpy of the gas and the liquid phases in the H^ONaCl system from 0 wt percent to halite saturation in the liquid phase between 80° and 325° C. The contour interval is 5 wt percent NaCl in the 

liquid phase. The shaded area contains data that were calculated by the 

extrapolation of functions given in the text. The bunching of the contours 

between 300° .and 325° C is most probably due to an artifact in the equations which is exaggerated when the partial molal enthalpy of aqueous NaCl 

is calculated.

noted. The most obvious place for improvement is the description 

of In y, the activity coefficient for aqueous NaCl. Use of several 

equations to describe ft in the activity coefficient function (eq 12) 

is acceptable as long as the derivative is not needed. However, this 

was not the situation in these steam tables where entropy is calculated from equation 1:

-r 

T K > (1)

The term was obtained from equation 22 as follows :

2 (AB) ^ (CD) (24)

The taking of the partial derivative for the first term is thermodynamically sound, because AG,' (AB) was evaluated using 

equilibrium constants, entropies, heats of solution, heat capacities, 

and partial molal volumes. Whereas the function is empirical, the 

function and its partial derivatives are consistent with thermodynamic theory.
NaCl COMPONENT IN BOILING Nad SOLUTIONS B17

Not so for the second term 3AG (BC) foT. When Liu and Lindsay (1972) evaluated the osmotic coefficient and activity coefficient data, no constraints were imposed except that the DebyeHiickel limiting slope be obeyed. An improved evaluation of In y 

using the available heats of solution of halite and the heat capacities of aqueous NaCl would eliminate the obvious discordance in 

the data at about 110°C as shown on figures 4 and 5.

The other problem is the density and therefore the partial molal 

volumes of H2 0 and NaCl. The available experimental data for 

the H2 0 NaCl system at temperatures above 100°C are poor. 

Apart from imprecise experimental methods, most experimental 

techniques involved the use of equipment that was corroded by 

the brine. The reported densities included the effects of dissolved 

H2 and metal ions. Improvement in this area entails the remeasurement of densities in the H2 0 NaCl system with an experimental 

design that is both highly accurate and free from corrosion.

TABLES FOR NaCl SOLUTIONS

Tables 1 through 28 give the temperature, pressure, and the 

density of the liquid 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 volume, entropy, and 

enthalpy for NaCl in the liquid are given. The third part of the 

tables gives the molar volume of the liquid and the molar entropy 

and molar enthalpy of the liquid and the gas that coexists with 

the liquid.

Tables 3, 6, 10, 13, 17, 21, and 26 give 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 H2 0 (molal) .

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 

is mol NaCl/kg H2 0.

The tables were calculated by using the functions that are given 

in the preceding section. The data contained in 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. Haas (1976) 

discussed the accuracy of the vapor pressure, density, and volume 

data for the liquid and[ the gas and of the partial molal quantities 

for Ha O (#!,<$!, and Vi) in the liquid and the gas. In preparing 

this report, the following additional equations have been used:
B18 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

Equation Property Source

(9) AG2 (A£) This report.

(12) In 7 Liu and Lindsay (1972)

Assuming that the JANAF data for halite (NaCl[c]) are without error (?), the maximum error in AG2° (AB) is 200 J mol- 1 . 

For the activity coefficient equation, Liu and Lindsay (1972) gave 

no estimate of either the accuracy or precision. However, an analysis of the graphical data which they supplied indicates that the 

maximum error in the activity coefficients is less than 0.003.

Even having this information, an estimate of the error in the

partial molal quantities for NaCl in the liquid ( V2 , H2 , and S2 ) 

cannot be made because these properties were calculated in part 

by the partial differentiation of equations 9 and 12, above, as well 

as other equations cited by Haas (1976).

In the tables, data are given that have 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.

Comm. on Atomic Weights, 1972, Atomic weights for 1971: Pure and Appl. 

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

Committee on Data for Science and Technology, 1973a, CODATA recommended key values, for thermodynamics, 1973, Report of the CODATA 

Task Group on key values for thermodynamics, November, 1973: 

CODATA Bull. 10, p. 1-11.

 1973b, Recommended consistent values of the fundamental physical 

constants, 1973: CODATA Bull. 11, p. 1-8.

Criss, C. M., and Cobble, J. W., 1961, The thermodynamic properties of high 

temperature aqueous solutions. I. Standard partial molal heat capacities 

of sodium chloride and barium chloride from 0 to 100°. Am. Chem. Soc. 

Jour., v. 83, p. 3223-3228.

Gardner, W. L., Mitchell, R. E., and Cobble, J. W., 1969, The thermodynamic 

properties of high-temperature aqueous solutions. XI. Calorimetric determination of the standard partial molal heat capacity and entropy of 

sodium chloride solutions from 100 to 200°: Jour. Phys. Chemistry, v, 

73, p. 2025-2032.
NaCl COMPONENT IN BOILING NaCl SOLUTIONS B19

Haas, J. L., Jr., 1976, Physical properties of the coexisting phases and thermochemical properties of the H20 component in boiling NaCl solutions:

U.S. Geol. Survey Bulletin 1421-A, 73 p.

Haas, J. L., Jr., and Fisher, J. R., 1976, Simultaneous evaluation and correlation of thermodynamic data: Am. Jour. Sci., v. 276, (In press). 

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. 

Likke, Senay, and Bromley, L. A., 1973, Heat capacities of aqueous NaCl, KC1,

MgCl2 , MgSO<, and Na-SO., solutions between 80° and 200°C: Jour. Chem.

and Eng. Data, v. 18, p. 189-195. 

Liu, Chia-tsun, and Lindsay, W. T., Jr., 1972, Thermodynamics of sodium

chloride solutions at high temperatures: Jour. Solution Chemistry, v. 1,

p. 45-69. 

Stull, D. R., and Prophet, H., 1971, JANAF thermodynamic tables: U.S. Natl.

Bur. Standards, NSRDS-NBS 37, 1141 p.

TABLES 1-30
Table 1. NaCl concentration: 0.0000 mol/kg H O 0.00 wt percent 

t

(°C)

80.

85. .

99.

95.

100.

105.

110.

115.

120.

125.

130.

1.35.

li*0.

1U5.

150.

155.

ICO.

1CS.

170.

175.

130.

185.

1'JO.

1U5.

' P

(bars)

0.1*71*

0.578

0.701

0.8U5

1.013

1.208

1.1*33

1.091

1.185

2.321

2.701

3.131

3.611*

it. 155

it. 760

5.U33

6.180

7.008

7.920

8.925

10.027

11.231*

12.552

13.'J89

dL

(g cm"3)

0.972

0.969

0.965

0.962

0.958

0.955

0.951

0.9U7

0.91*3

0.939

0.935

0.931

0.926

0.922

0.917

0.912

0.307

0.902

0.897

0.892

0.887

0.882

0.876

0.870

'a

(cm mol

17.91

17.61

17.29

16.91*

1C. 58

16.19

15.78

15.31*

11*. 87

11*. 38

13.8IJ

13.31

12.72

12.11

11.1*5

10.76

10.03

9.25

8.1*3

7.56

6. 6U

5.66

U. 62

3.52

saL

HJmol^-K"1 )

-21.806

-22.751*

-23.737

-2U. 762

-25.836

-26.966

-28.157

-29.U16

-30.7U5

-32.151

-33 . i.3L

-35.201*

-36.859

-38.602

-1*0.1*38

-1*2.367

-1*1*. 392

-1*6.516

-1*8.739

-51.061*

-53.1*92

-56.021*

-58.662

-61.U08

"a

(J mol" 1 )

-6650. .

-6987.

-73U2.

-7716.

-8111*.

-853S.

-8991.

-9U76.

-9995.

-10551.

- 1 1 1 '. 5 .

-11781.

-121*60.

-13181*.

-13955.

-11*776.

-1561*7.

-16572.

-17550;

-18586.

-19679.

-20832.

-2201*7.

-23325.

V L

(cm. mol )

18.51*

18.60

18.66

18.73

18.80

18.87

18.9U

19.02

19. 10

19.19

1:1.27

19.36

19.U5

19.55

19.65

19.75

19.85

19.96

20.08

20.19

20.31

20.1*1*

20.56

20.70

SL

19.296

20.356

21.U05

22.1*1*3

23.1*69

21*. U80

25.1*79

26.1*67

27.1*1*1*

28.U09

29.365

30.311

31.2U8

32.177

33.097

31*. 009

31*. 911.

35.811

36.703

37.587

38.1*66

39.31*0

U0.208

U1.072

i S

(J mol" 1 K

117.811

115.53U

113.30

111.13

109.00

106.93

10U. 90

102.91

100.97

99.06

97.19

95.36

 J3.56

91.73

90.01*

88.33

86.61*

8>*. 98

83.3U

81.72

80.12

78.53

76.971

75.U2U
NaCl COMPONENT IN BOILING NaCl SOLUTIONS B23

FHiHiH«HiHrHiHi-4r-tr-4 OOOOOOOOOO O O O O ffl Cl

cowoooooocococowoo r* r* ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ °. . I

OOOOOOOOOO OOOOOOOOOO OOOOOO 0

I

Q
NaCl concentration: 0.5000 mol/kg H O 2.84 wt percent 

t

(°C)

80.

85.

00.

95.

100.

105.

110. 

115.

120.

125. 

130.

135.

1UO.

Id5.

150. 

155. 

100. 

165. 

170. 

175. 

180. 

185.

iao.

195.

P

(bar B)

O.dGS

0.568

0.689

0.831

0.996

1.187

l.dOS 

1.062

1.5151

2.281 

2.655

3.077

3.552

d.OSd

'4.079

5.3dl 

6. 076 

6.889 

7.786 

8.773 

9.857

12!3dO 

13.752

dL

(g cm" )

0.991

0.988

0.985

0.981

0.978

0.97d

0.971 

0.967

0.963

0.959 

0.955

0.951

0.9d7

0.9d2

0.938 

0.133 

0.928 

0.92d 

0.919 

0.91U 

0.009 

0.901* 

0.898 

0.893

V L

(cm mol

19.60

19.dl

19.21

18.99

18.76

18.51

18.21* 

17.95

17.65

17.32

lfi.97

16.60

16.21

15.79

ld!86 

11*. 36 

13.81 

13. 2d 

12.62 

11.97 

11.27 

10.53 

9.7U

s3L

^(Jmol^K"1 )

-1.021

-1.352

-1.693

-2.0d8

-2.d23

-2.822

-3.2U9 

-1.259

-2.032

-2.865 

-3.759

-d.718

-5.71*2

-6.83d

-7. 093 

-9.221 

-10.517 

-11.880 

-13.310 

-Id. SOU 

-16.360 

-17.977 

-19.6d9 

-21.37d

fif

(J mol" 1 )

-5853.

-5981.

-6111*.

-6255.

-6d06.

-6567.

-67U1. 

-5999.

-631d.

-6656. 

-7028.

-71*31.

-7866.

-833d.

-8837. 

-9375. 

-9950. 

-10560. 

-11207. 

-11891. 

-12611. 

-13367. 

-Idl57. 

-Id981.

V L

(cm mol" )

18. 5d

18.60

18.66

18.72

18.79

18.86

18.93 

19.00

19.08

19.16 

19. 2d

19.33

19.1*1

19.50

19.60 . 

19.69 

19.79 

19.89 

20.00 

20.11 

20.22 

20.3d 

20. d6 

20.58

SL

19.232

20.277

21.311

22.335

23.3U8

2i».3d2

25.326 

26.320

27.278

28.225 

29.162

30.088

31.00d

31.911

32.808 

33.697 

3d. 579 

35.d52 

36.318 

37.177 

38.029 

38.876 

39.716 

dO.551

AS

(J mol" 1 K" 

118.028

115.763

113.552

111.392

109.279

107.223

105.210 

103.219

101. 29d

99.U08 

97.561

95.7d8

93.970

92.223

90.506 

88.818 

87.156 

85.519 

83.906 

82.315 

80.7dd 

79.192 

77.659 

76.1dl
200.

205.

210.

215.

220.

225.

230.

235.

2i»0.

2i»5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

15

16

18

20

22

25

27

30

32

35

39

U2

1*6

50

5i»

58

63

67

73

78

81*

( 90

( 96

(103

(110

(118

.287

.953

.756

.705

.808

.071

.SOU

.111*

.911

.902

.098

.507

.138

.002

.108

.1*66

.088

.983

.163

.61)0

.1*26

.533)

.97U)

.763)

.91U)

.iii»i»)

0.887

0.882

0.876

0.870

0.86U

0.858

0.852

0.8U5

0.839

0.832

0.825

0.818

0.811

0.803

0.795

0.787

0.779

0.771

0.762

0.753

0.7UI*

0.731*

0.723

0.713

0.701

0.689

8.89

7.98

7.02

5.98

I*. 88

3.69

2.1*1

1.05

-0.1*3

-2.01

-3.72

-5.57

-7.57

-9.71*

-12.10

-11*. 68

-17.1*9

-20.57

-23.96

-27.70

-31.85

-36.U7

-1*1.65

-U7.U7

-51*. 08

-61.61*

-23

-21*

-26

-28

-30

-32

-31*

-36

-38

-UO

-1*1

-1*3

-1*5

-1*6

-1*7

-1*8

-1*9

-50

-50

-U9

-i»8

( -1*6

( -1*1*

( -1*0

( -35

( -29

.1U7

.963

.815

.695

.597

.509

.1*22

.323

.197

.028

.797

.1*82

.056

.1*01

.751

.793

.571

.021*

.081*

.665

.667

.96U)

.1*02)

.792)

.891*)

.1*08)

-15837.

-16723.

-17636.

-18571*.

-19532.

-20507.

-211*93.

-22U83.

-231*72.

-2U1* <»9.

-25UOU.

-26327.

-27201.

-28012.

-28737.

-29351*.

-2983U.

-3011*1.

-30235.

-30061*.

-29565.

( -28663.)

( -27261.)

( -2521*1.)

( -22U52.)

( -18701*. )

20.71

20.81*

20.98

21.12

21.27

21.U2

21.58

21.71*

21.91

22.09

22.27

22.1*7

22.67

22.88

23.10

23.31*

23.58

23.81*

21*. 11

21*. i»l

21*. 72

25.05

25.UO

25.79

26.20

26.66

U1.381

1*2.206

1*3.027

1*3.81*1*

Ui*. 657

I»5.U67

1*6.275

1*7.080

 1*7.883

1*8.685

1*9.1*85

50.286

51.087

51.888

52.691

53.1*97

5U. 305

55.118

55.937

56.762

57.596

( 58.1.1*1)

( 59.299)

( 60.173)

( 61.067)

( 61.985)

71*

73

71

/O

68

67

65

61*

63

61

60

58

57

55

51*

52

51

50

1*8

1*7

1*5

( 1*1*

( <*2

( 1*0

( 39

( 37

.639

.151

.075

.211

.756

.310

.871

.1*38

.009

.583

.158

.731*

.307

.877

.I*'i2

.999

.5U7

.083

.606

.111

.598

.061

.1*99

.905

.276

.606

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

t

<°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

11*0.

1U5.

150.

155.

1GO.

1C5.

170.

175.

180.

185.

190.

195.

3. NaCl concentration:

P

(bars)

O.U59

0.560

0.679

0.819

0.982

1.171

1.388

1.638

1.92U

2.2U9

2.618

3.03U

3.502

l».027

i».613

s!266

5.991

6.792

7.677

8.651

9.719

10.889

12.167

13.559

dL

(g cm"3)

1.006

1.003

1.000

0.996

0.993

0.989

0.986

0.982

0.978

0.97U

0.970

0.966

0.962

0.958

0.953

0.91*9

0.91*1*

0.91*0

0.935

0.930

0.925

0.920

0.915

0.910

V L

0.9006mol/kg H O '

^

(cm mol ) (J mol K )

20.17

20.02

19.86

19.69

19.50

19.30

19.08

18.85

18.60

18.33

18.01*

17.73

17.UO

17.05

16.67

16.27

15.81*

15.38

11*. 88

11*. 36

13.79

13.19

12.55

11.86

-10.305

-10.1*62

-10.621

-10.788

-10.967

-11.161

-11.372

-8.381

-9.001*

-9.683

-10.1*19

-11.215

-12.072

-12.991

-13.973

-15.018

-1C. 125

-17.292

-18.520

-19.80U

-21.11*1*

-22.531*

-23.972

-25.U52

' ^

(J mol" )

-5837.

-5905.

-5975.

-601*8.

-6128.

-6211*.

-6308.

-5186.

-51*1*1* .

-5727.

-6038.

-6377.

-67U5.

-711*1*.

-7575.

-8037.

-8533.

-9061.

-9622.

-10215.

-1081*0.

-111*95.

-12181.

-12891*.

V L

. 3 ,-l

(cm mol )

18.55

18.61

18.67

18.73

18.79

18. 8G

18.93

19.00

19.07

19.15

19.23

19.31

19.UO

19.1*8

19.57

19.66

1D.7C

19. 8G

19.96

20.06

20.17

20.28

20.39

20.51

5.00 wt percent

SL

as

(Jmor'K- 

19.01*1*

20.080

21.105

22.120

23.121*

21*. 110

25.085

26.100

27.0U6

27.981

28.901*

29.817

30.719

31.611

32.1*91*

33.368

31*. 23U

35.091

35.9UO

36.782

37.617

38.UI»5

39.267

1*0.081*

118.339

116.083

113.881

111.730

109.628

107.580

105.577

103.566

101.651*

99.783

97.91*9

96.152

91*. 389

92.658

90.958

89.287

87.61*3

80.021*

81*. 1*30

82.858

81.308

79.777

78.265

76.770
200.

205.

210.

215.

220.

225.

230.

255.

2UO.

2U5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

15

16

18

20

22

2U

27

29

32

35

38

i»l

US

1*9

53

57

62

67

72

77

83

( 89

( 95

(102

(109

(116

.073

.715

.U93

.U15

.1*87

.718

.116

.689

.1*1*6

.395

.5U U

.901*

.1*83

.290

.336

.631

.181*

.007

.110

.505

.203

.218)

.561)

.2U5)

.286)

.697)

0.90U

0.899

0.893

0.888

0.882

0.876

0.870

0.861*

0.857

0.851

0.81*1*

0.837

0.830

0.823

0.816

0.808

0.801

0.793

0.781*

0.776

0.767

0.757

0.71*8

0.738

0.727

0.716

11.13

10.31*

9.1*9

8.59

7.62

6.58

5.U6

U.25

2.95

1.55

0.03

-1.60

-3.38

-5.31

-7.1*1

-9.69

-12.20

-1U. 91*

-17.96

-21.29

-21*. 98

-29.09

-33.68

-38.85

-i»i». 70

-51.36

-26.

-28.

-30.

-31.

-33.

-3U.

-36.

-37.

-39.

-UO.

-1*2.

-1*3.

-1*1*.

-US.

-US.

-U6.

-UG.

-US.

-UU.

-U3.

-Ul.

( -38.

( -3U.

( -28.

( -21.

( -12.

969

516

086

670

259

8UO

U02

928

U03

806

11U

302

338

187

807

1U8

153

751

860

378

18U

130)

030)

658)

728)

877)

-13632.

-1U39U.

-15175.

-15973.

-1C781.

-17595.

-18U09.

-1921U.

-20002.

-20763.

-21U83.

-221U8.

-227U1.

-232U2.

-23627.

-23865.

-2392U.

-23761.

-23326.

-22557.

-21381.

( -19705.)

( -17U15.)

( -1U367.)

( -10381.)

( -5229.)

20.

20.

20.

21.

21.

21.

21,

21,

21.

21,

. 22,

22,

22,

22,

22.

23.

23,

23,

23.

2U,

2U,

2U,

2U,

25,

25,

26,

,63

.76

.89

.02

,16

,30

,U5

,61

.76

.93

,10

.28

,U7

.67

.87

,08

.31

.55

.79

,06

,3U

,6U

.96

.30

.67

.07

UO,

Ul,

U2.

U3.

UU.

UU.

US,

U6,

U7,

1*8.

US,

U9,

. 50,

51,

51,

52,

53,

5U,

55,

55,

56.

( 57,

( 58,

( 59,

 ( 60,

( 61,

,89U

.700

.501

.298

,092

.882

.669

,U55

.238

,021

,803

.586

.370

.157

.91*0

,7UO

.539

.3U6

,162

.989

.831

.690)

.570)

,U76)

. U1U)

,392)

75

73

72

70

69

68

66

65

63

62

61

59

58

56

55

5U

52

51

U9

US

ue

( U5

( U3

( Ul

( UO

( 38

.2

.82

.3

.9

.50

.08

.66

.2

.85

. U5

.05

.65

.2

.8

.U

.01

.5

.1U

.6

.1

.6

.1

.5

.9

.33

.62

NOTB. Data contained in parentheses were calculated by extrapolation of the functions beyond 
Table

t

<°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

11.0.

1U5.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

4. NaCl concentration:

P

(bars)

0.1.57

0.558

0.677

0.816

0.979

1.167

1.381*

1.633

1.917

2.21*1

"2.609

3.021*

3.1*90

I*. 013

U. 597

5.21*8

5.969

6.768

7.650

8.620

9.685

10.850

12.121*

13.511

dL

(g cm" )

1.010

1.006

1.003

1.000

0.997

0.993

0.990

0.986

0.982

0.978

0.971*

0.970

0.966

0.962

0.957

0.953

0.9U8

0.91*1.

0.939

0.93U

0.929

0.92U

0.919

0.911*

V L

1.0000 niol/kg HaO

saL

3-1 -1 -1

(cm mol ) (J mol K )

20.29

20.15

20.00

19.81*

19.66

19.1*7

19.26

19.0U

18.80

18.51*

18.26

17.97

17.65

17.31

16.95

16.56

16.15

15.70

15.23

11*. 72

1U. 18

13. CO

12.98

12.31

-11.999

-12.120

-12.21*2

-12.371

-12.511

-12.663

-12.832

-9.61*8

-10.21*1

-10.887

-11.591

-12.353

-13.175

-1U.059

-15.001*

-16.011

-17.078

-18.206

-19.392

-20.633

-21.928

-23.273

-2U.662

-26.093

HaL

(J mol" 1 )

-5830.

-5885.

-591*2.

-6002.

-6067.

-G138.

-6216.

-5021.

-5267.

-5538.

-5836.

-6161.

-6516.

-6900.

-7316.

-7763.

-821*2.

-8753.

-9296.

-9870.

-101*76.

-11111.

-11775.

-121*65.

V L

(cm mol" ]

18.55

18.61

18.67

18.73

18.79

18.86

18.33

19.00

19.07

19.15

19.23

19.31

19.39

19.1*8

19.57

19.66

19.75

19.85

19.95

20.05

20.16

20.27

20.38

20.50

5.52 wt percent

SL

*S

| (J mol" K

18.989

20.023

21.01.6

22.059

23.062

2U. 01*6

25.019

26.01*0

26.981*

27.915

28.836

29.7U5

30.61.1.

31.533

32.U13

33.283

3U.H5

31*. 999

35.81*1*

36.6R2

37.513

38.337

39.155

39.967

118.1*21*

116.171

113.971

111.822

109.722

107.676

105.675

103.658

101.71*9

99.881

98.051

96.257

91*. 1*97

92.770

01.071*

89.U07

87.767

86.153

81*. 563

82.9P6

81.1*50

79.921.

78.1.17

76.927
NaCl COMPONENT IN BOILING NaCl SOLUTIONS B29

OOOOOOOOOO OOOOOOOOOO O> Cl

CM <M CM CM CM

CMlAOTCMiOOK'll^i-Hl^ O1N>C3O.JOO*-<IAOCM 10 C7t CM ITt OO f-f 

rH tH rH rH r-l tH .H t-H -( rH OOOOOOOOOO OOOOOO

 o r^ oo

I I I I I

.......... .......... ......

OOOOOOCOOO OOOOOOOOOO OOOOOO

rt ID 0001 T77 ' "

111 iy
B30 PRELIMINARY STEAM TABLES FOR Nad SOLUTIONS

O> OO OO OO OO (

ioooooococoior-.r-.

'. cnooooo

^ i i I i I i I i i i i i i i i I i i i i I i i I

O O O O OOOC1C1CTCM

t-*^H»-lrH i-4r-4i-Hi-lr-«OOOOto OOOOOOOOOO

i o IA c tr> o
NaCl COMPONENT IN BOILING NaCl SOLUTIONS B31

\ o ^-t f^- «-H

4OOOQOQGOO COOOOO

crtcrr>CTC^C7i'ooooooco cooooocooooocooocQco eor*.r^r^rvi

OCOC^OOOCOO OCOOOOOOOO OOOOOt
Table

t

<°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

11*0.

1U5.

150.

155.

160.

165.

170.

175.

180.

135.

190.

195.

6. NaCl concentration:

P

(bars)

0.1*1*2

0.5UO

0.655

0.790

0.9U7

1.129

1.338

1.579

1.855

2 . 11- £

2.521*

2.925

3.376

3.882

1*. 1*1*7

5.076

5.771*

6.51*7

7.399

8.337

9.367

10.1*91*

11.725

13.066

dL

-3

(g cm )

1.01*1

1.038

1.035

1.032

1.029

1.025

1.022

1.018

I.OIU

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

0.951*

0.91*9

vaL

1.9012mol/kgHaO '

saL

(cm mol )(Jmol K )

21.20

21.12

21.03

20.93

20.82

20.71

20.58

20.1*1*

20.28

20.11

19.93

19.73

19.52

19.29

19.03

18.76

18.1*7

18.15

17.80

17.U3

17.0U

ir, .60

16. 1U

15.61*

-22.599

-22.1*68

-22.330

-22.189

-22.0U9

-21.910

-21.775

-17. 3UO

-17.701*

-18.116

-18.578

-19.093

-19.661

-20.283

-20.960

-21.690

-22.1*71*

-23.310

-21*. 191*

-25.125

-26.100

-27.113

-28.160

-29.235

HaL

(J mol" 1 )

-5650.

-5617.

-5582.

-55U5.

-5508.

-51*71 .

-5U36.

-3765.

-3921*.

-1*101*.

-1*307.

-1*535.

-1*787.

-5065.

-5371.

-5703.

-6062.

-6UU8.

-6861.

-7300.

-7761*.

-8251.

-8760.

-9289.

V L

. 3 -1

(cm mol ]

18.59

18. Ci*

18.70

18.76

18.82

18.88

18.91*

19.01

19.08

19.15

19.23

19.30

19.38

19.1*6

19.51*

19.63

19.72

19.80

19.90

19.99

20.09

20.19

20.29

20.1*0

10.00 wt percent

SL

AS

| (Jmor'tf 

18.1*00

19.1*21

20.U30

21.U29

22.1*18

23.391

21*. 352

25.1*1*3

26.365

27.271*

28.171

29.057

29.931

30.791*

31.6U7

32.1*90

33.321*

3 U. 1U8

3U. 963

35.771

36.570

37.362

38.11*6

38.925

119.298

117.060

111*. 876

112.71*3

110.658

108.626

106.61*0

101*. 555

102.671

100.828

99.021*

97.258

95.527

93.829

92.16U

90.528

88.922

87.3U2

85.788

81*. 258

82.750

81.263

79.796

78.3U7
200.

205.

210.

215.

220.

225.

230.

235.

2i»0.

21*5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

1U.

16.

17.

19.

21.

23.

26.

28.

31.

3U.

37.

UO.

U3.

1*7.

51.

55.

59.

6U.

69.

71*.

80.

( 85.

( 91.

( 98.

(105.

(112.

521*

106

819

670

665

811*

123

601

25U

093

121*

357

801

ttbU

356

1*87

865

502

1*07

592

067

8i*i*)

935)

352)

108)

218)

0.91(1*

0.939

0.931*

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

0.81*3

0.835

0.828

0.820

0.812

0.801*

0.796

0.787

0.778

15.10

It*. 52

13.90

13.22

12.1*9

11.71

10.86

9. 9U

8.95

7.87

6.71

5.1»1(

i*.07

2.57

0.91*

-0.81*

-2.79

-I*. 93

-7.29

-9.89

-12.77

-15.96 (

-19.53 (

-23.52 (

-28.01 (

-33.10 (

-30.331

-31.UI*!

-32.55U

-33.6G2

-31*. 752

-35.810

-36.820

-37.765

-38.625

-39.375

-39.988

-1*0.1*32

-1*0.671

-1(0.661

-1*0.352

-39.685

-38.589

-36.981

-31*. 760

-31.80U

-27.968

-23.071)

-16.891)

-9.151)

0.1*91*)

12.1*86)

-9833.

-10390.

-10957. .

-11527.

-12091*.

-12651*.

-13196.

-13711.

-11*190.

-1U618.

-1U980.

-15260.

-151*35.

-151*80.

-15367.

-15060.

-11*517.

-13688.

-12511.

-10913.

-8803.

( -6070.)

( -2573.)

( 1859.)

( 71*1*6.)

( 11*1*70.)

20.50

20.62

20.73

20.85

20.97

21.09

21.22

21.36

21.1*9

21.63

21.78

21.93

22.09

22.25

22.1*2

22.59

22.78

22.97

23.17

23.37

23.59

23.82

2U. 06

2U. 32

21*. 60

2<*. 89

39.

UO.

Ul.

"»1.

U2.

1*3.

<*"(.

Ul*.

1*5.

U6.

U7.

1*7.

U8.

<»9.

50.

51.

51.

52.

53.

51*.

55.

( 56.

( 57.

( 58.

( 59.

( 60.

697

l*6>*

226

981*

738

1*90

239

987

735

U83

231*

987

71*5

509

282

065

862

675

508

365

253

178)

1U7)

171)

263)

1*38)

76.915

75.U98

71*. 095

72.705

71.325

69.955

68.593

67.237

65.885

6U.535

63.186

61.835

60.1*79

59.117

57.71*5

56.360

51*. 959

53.536

52.089

50.611

1*9.095

( 1*7.535)

( 1*5.920)

( i*U. 21*1)

( U2.U83)

( 1*0.630)

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

t

7b)

80.

85.

90.

95.

100.

105..

110.

115.

120.

125.

130.

135.

IftO.

Ift5.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

7. NaCl concentration:

P

(bars)

0.1(1(1

0.538

0.653

0.787

0.9ft3

1.12ft

1.333

1.573

1.8U8

2.160

2.51ft

2.91ft

3.363

3.867

ft.ft30

5.057

5.752

6.522

7.371

8.306

9.331

IQ.ftSft

11.681

13.017

* *

(g cm" )

l.OftS

1.0U2

1.038

1.035

1.032

1.029

1.025

1.021

1.018

1.01ft

1.010

1.006

1.002

0.998

0.99ft

0.990

0.985

0.981

0.976

0.972

0.967

0.962

0.957

0.953

vaL

(cm mol ) l

21.28

21.21

21.13

21.03

20.93

20.82

20.70

20.57

20.1*2

20.26

20.09

19.90

19.69

19.ft7

19.23

18.97

18.68

18.38

18.05

17.69

17.30

16.89

16.1(1*

15.95

2.0000 mol/kg HO'

*

(Jmol^K"1 )

-23.ft39

-23.286

-23.12ft

-22.959

-22.79ft

-22.629

-22.1*66

-17.929

-18.272

-18.662

-19.102

-19.593

-20.138

-20.736

-21.388

-22.09ft

-22.852

-23.660

-2ft. 517

-25.1*20

-26.366

-27.3ft9

-28.365

-29.1*08

Hf

(J mol" 1)

-5617.

-5577.

-5533.

-5ft88.

-Sftftl.

-5395.

-53ft9.

-3639.

-3790.

-3962.

-ftise.

-ft37ft.

-1*617.

-1*886.

-5181.

-5502.

-5851.

-6226.

-6627.

-7053.

-750ft.

-7978.

-8ft73.

-8987.

V L

. 3 .-]

(cm mol

18.59

18.65

18.70 .

18.76

18.82

18.88

18.95

19.01

19.08

19.15

19.23

19.30

19.38

19.l(G

19.5ft

19.63

19.71

19.80

19.89

19.99

20.08

20.18

20.28

20.39

10.47 wt percent

SL

') (J

18.328

19.3ft8

20.356

21.35ft

22.3ft2

23.313

2ft. 273

25.373

26.293

27.200

28.095

28.978

29.850

30.711

~" 31.562

32.ft02

33.233

3ft. 05ft

3ft. 867

35.671

36.ft67

37.256

38.038

38.813

&S

mol" l K

119.1*0

117.16

lift. 98

112.85

110.76

108.73

106.75

10ft. 65

102.77

100.93

99.13

97.37

95.6ft

93.91*

92.28

90.G5

89.05

87.ft7

85.92

8ft. 39

82.89

81.1*1

79.91*

78.50
200.

205.

210.

215.

220.

225.

230.

235.

2UO.

2'(5.

250.

255.

260.

265.

270.

275.

280.

285.

2'JO.

295.

300.

305.

310.

315.

320.

325.

11*

1C

17

19

21

23

2C

28

31

33

36

UO

U3

U7

51

55

59

61*

69

7k

79

( 85

( 91

( 97

(10i»

(111

.1*69

.01*5

.751

.595

.583

.723

.021*

.1*91

.135

.962

.982

.202

.633

.281

.158

.272

.633

.251

.137

.301

.753

.507)

.572)

.963)

.691)

.771)

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

.91*8

.9U3

.937

.932

.927

.921

.910

.910

.905

.899

.893

.887

.880

.87i»

.868

.861

.851*

.8U7

.81*0

.833

.825

.818

.810

.801

.793

.783

15.U3

1U.87

lit. 26

13.60

12.89

12.13

11.30

10.M

9.U it

8.39

7.26

6.02

<t. 68

3.22

1.63

-0.11

-2.02

-it.ll

-6.1(1

-8.95

-11.76

-lit. 88

-18.36

-22.26

-26.6ii

-31.59

-30.U71

-31.5U7

-32.G25

-33.696

-31*. 747

-35.76't

-3C.733

-37.63U

-38.itit7

-39.147

-39.708

-itO.097

-itO.277

-i*0.20it

-39.827

-39.087

-37.911

-30.216

-33.900

-30.839

-26.887

( -21.860)

( -15.53U)

( -7.630)

( 2.20U)

( lU.Ulit)

-9516.

-10057.

-10607.

-11159.

-11708.

-122U8.

-12769.

-13263.

-13717.

-1U120.

-UU56.

-1U707.

-11*850.

-11*862.

-11*713.

-li*3G6.

-13779.

-12902.

-11672.

-10015.

-7839..

( -5031.)

( -11*50.)

( 3079.)

( 8778.)

( 15931.)

20.50

20.61

20.72

20.83

20.95

21.08

21.21

21.3U

21.U7

21.61

21.75

21.90

22.06

22.22

22.38

22.55

22.73

22.92

23.11

23.32

23.53

23.75

23.99

21*. 2U

2U.51

2U.79

39.

1*0.

Ul.

M.

1*2.

<*3.

it it.

UU.

US.

1*6.

:U7.

1*7.

U8.

1*9.

50.

50.

51.

52.

53.

5i».

55.

( 56.

( 57.

( 58.

( 59.

( 60.

582

31*6

105

859

610

359

105

850

595

31*1

089

81*0

596

359

132

915

712

527

363

225

118

051)

031)

068)

177)

375)

77.

75.

71*.

72.

71.

70.

68.

67.

6G.

61*.

63.

62.

60.

59.

57.

56.

55.

53.

52.

50.

"*9.

( 1*7.

( U6.

( <*U.

( 1*2.

( UO.

NOTE. Data contained in parentheses were calculated by extrapolation of the functions beyon
B36 PRELIMINARY STEAM TABLES FOR Nad SOLUTIONS

> o> o> o o o o o

C^rtJCMrMCiJKt^lAlDOO OCM-^f^OlC-JlAOOrHlA

E

ir*inirtir» I/\J*^K%H^K>K>K*K^^ .a-^-^utiAiAtoiar^r^ 

i I i I I I i i I I I I I i I i I i i I I I I i

^r^r

fi tMCMCMCM C^CMCMrgtMCMCMOItMCSl eMCMtNCvtCMPJeNrgeMfM

" I I I I I I I I I I I I I I I I I I I I I I I I

OOOO OOOOOOOOOO OOOOl(T>(DCTlCT»a>a>

C, oooo
200.

205.

210.

215.

220.

225.

230.

235.

21*0.

2US.

250.

255.

260.

2C5.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

li»

15

17

19

21

23

25

27

30

33

36

39

1*2

1*6

50

51*

58

62

67

72

78

( 83

( 89

( 95

(102

(109

.189

.73U

.1*07

.215

.16U

.262

.517

.936

.528

.299

.259

.1*16

.777

.353

.152

.183

.U56

.980

.766

.823

.163

.797)

.736)

.992)

.578)

.506)

0.966

0.961

0.956

0.951

0.9U6

0.9UO

0.935

0.930

0.92U

0.919

0.913

0.907

0.901

0.895

0.889

0.883

0.877

0.870

0.86U

0.857

0.850

0.8U3

0.835

0.828

0.820

0.812

16.97

16.1*9

15.97

15.UO

11*. 79

li». 12

13.1*0

12.62

11.77

10.85

9.85

8.76

7.58

6.28

U.87

3.33

1.61*

-0.22

-2.27

-I*. 52

-7.02

-9.78

-12.86

-16.30

-20.16

-21*. 50

-30.901*

-31.822

-32.737

-33.638

-3U.513

-35.31*7

-36.123

-36.822

-37.1*23

-37.901

-38.226

-38.36U 

-38.277

-37.919

-37.237

-36.167

-31*. 635

-32.551

-29.810

-26.282

-21.812

( -16.208)

( -9.23U)

( -0.596)

( 10.076)

( 23.252)

-7998.

-8U65.

-8937.

-9U08.

-9872.

-10321.

-107U8.

-1111*1.

-111*88.

-11777.

-11991.

-12111.

-12115.

-11975.

-11661.

-11135.

-10353.

-9261.

-779U.

-5873.

-31*02.

( -262.)

( 3695.)

( 8651*.)

( 11*81*9.)

( 22579.)

20. 1*6

20.56

20.67

20.78

20.89

21.01

21.13

21.25

21.38

21.51

21. 6U

21.78

21.92

22.07

22.22

22.37

22.51*

22.70

22.88

23.06

23.25

23.1*1*

23.65

23.87

2U.09

2U. 31*

39.009

39.757

U0.501

1*1. 2U1

1*1.977

U2.711

. U3. i»i»3

1*1*. 175

1*1*. 907

US. 6U2

1*6.3.79

1*7.122

1*7.872

1*8.631

1*9.1*02

50.187

50.991

51.817

52.671

53.558

5i». U85

( 55.1*61)

( 56.U98)

( 57.608)

( 58.809)

( 60.122)

77

76

75

73

72

71

69

08

67

65

6U

63

61

60

59

57

56

51*

53

51

50

( U8

( 1*7

( US

( 1*3

( 1*1

.8

.1

.0

.7

.3

.0

.6

.3

.0

.7

.3

.0

.7

.3

.0

.6

.2

.8

.3

.8

.3

.7

.1

.3

.5

.5

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

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

1UO.

1U5.

150.

155.

160.

1F>5.

170.

175.

180.

185.

190.

195.

9. NaCl concentration:

P

(bars)

0.1*23

0.517

0.627

0.756

0.906

1.080

1.281

1.512

1.775

2.076

2.1*16

2.800

3.232

3.716

i». 257

it. 800

5.528

6.268

7.08U

7.983

8.968

10.0U8

11.226

12.510

dL

(gem"3,

1.077

1.07U

1.071

1.0C8

1.065

1.061

1.058

1.05U

1.051

1.01*7

1.01*3

1.039

1.035 .

1.031

1.027

1.023

1.019

1.015

1.010

1.006

1.002

0.997

0.992

0.988

'a

3 *1

(cm mol )

22.0U

22.02

21.99

21.95

21.91

21.86

21.81

21.71*

21.67

21.58

21.1.9

21.38

21.26

21.13

20. 9S

20.81

20.63

20.1*3

20.21

19.96

19.70

19. ill

19.09

18.75

3.000 mol/kgHaO '

s^

(Jmol^K-1)

-29.998

-29. 61* it

-29.277

-28.300

-28.516

-28.125

-27.729

-22.350

-22.505

-22.7nit

-22.91*7

-23.238

-23.577

-23.965

-2V.U01

-2l»!886

-25.U18

-25.991*

-26.61U

-27.273

-27.967

-28.092

-29.1*1*2

-30.212

HaL

(J mol" 1 )

.-511*5.

-503U.

-1*917.

-1*795.

-U669.

-1*539.

-1*1*05.

-2375.

-2U5U.

-2551.

-2668.

-2806.

-2966.

-311*8.

-3351*.

-3583.

-3835.

-1*111.

-1*1*09.

-U728.

-5068.

-51*26.

-5800.

-6188.

V L

(cm mol ]

18.65

18.70

18.75

18.81

18.87

18.93

18.99

19.05

19.12

19.19

19.25

19.33

19.1*0

19.1*8

19.55

19.63

19.71

19.80

19.88

19.97

20.06

20.15

20.2U

20.31*

14.92 wt percent

SL iS

| (Jmor'K

17.5U5

18.555

19.55K

20.51*3

21.523

22.1*88

23.1*1*1

21*. 638

25.5UO

26.1*29

27.305

28.169

29.020

29.860

30.689

31.507

32.311*

33.111

33.898

31*. 677

35.1*1*6

36.208

36.962

37.710

120.53

118.3

116.1

111*. 0

111.91

109.9

107.9U

105.75

103.8

102.0

100.29

98.5

96.8U

95.1

93.51

91.9

90.36

88.8

87.2

85.8

8U. 3

82.8

81.U5

80.01
200.

205.

210.

215.

220.

225.

230.

235.

2UO.

2i»5.

250.

255.

260.

265.

270.

275.

280.

2E5.

200.

295.

300.

305.

310.

315.

320.

325.

13

15

17

18

20

22

25

27

2'J

32

35

38

1*1 '1*5

U9

53

57

Cl

CG

71

76

{ 82

( 87

( 'Jl*

(100

(107

.907

.1)21

.061

.832

.7U3

.799

.009

.380

.919

.635

.535

.628

.922

.1*25

.1U7

.096

.281

.712

.3<J9

.352

.581

.096)

.910)

.03U)

.1*79)

.258)

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

'J.

0.

0.

0.

0.

0.

0.

6.

0.

0.

0.

983

978

973

968

961*

958

953

9U8

91*3

938

932

927

921

915

910

901*

898

892

886

879

873

867

860

853

8U6

839

18.37

17.96

17.51

17.03

16.50

15.92

15.30

11*. 62

13.88

13.07

12.19

11.2U

10.19

9.05

7.80

6.1*1*

i*. 9U

3.29

I.'i8

-0.52

-2.73

-5.18

-7.89

-10.92

-li*. 30

-18.09

-30.

-31.

-32.

-33.

-31*.

-31*.

-35.

-35.

-36.

-3C.

-36.

-36.

-36.

-35.

-3U.

-33.

-31.

-29.

-2E.

-22.

-17.

( -11.

( -3.

( 5.

( 16.

( 30.

992

775

550

306

030

708

320

8U9

271

5GO

686

611*

30U

707

7H9

1*25

596 -

190

097

182

28U

201*) (

695) (

51*8) (

910) (

883) {

-6586.

-6990.

-7396.

-7797.

-8188.

-85C1.

-8906.

-9213.

-91*71.

-9663.

-9775.

-9785.

-9C70.

-9UOU.

-8353.

-8278.

-7333.

-6062.

-1*398.

-2258.

1*57.

3872. )

8139.)

13U53.)

20056. )

28263.)

20. 1*3

20.53

20.GU

20.7U

20.85

20.96

21.07

21.19

21.30

21.U3

21.55

21.68

21.81

21.91*

22.08

22.23

22.37

22.52

22.68

22.81*

23.01

23.18

23.36

23.55

23. 7i»

23.95

38

39

39

1*0

1*1

1*2

1*2

U3

1*1*

1*1*

1*5

i*fi

1*7

1*7

1*8

1*9

50

51

52

52

53

( 5U

( 56

( 57

( 58

( 59

.<*51

.186

.917

.61*1*

.367

.089

.809

.530

.252

.978

.708

.1*1*5

.191

.91*9

.722

.513

.326 

.168

.01*2

.958

.923

.91*8) (

.01*7) (

.235) (

.533) (

.968) (

78.

77.

75.

71*. 

73.

71.

70.

69.

67.

66.

65.

61*. 

62.

61.

60.

58.

57.

55.8

5i*

52.

51.

1*9

1*7

1*6

1*1*. 

1*2

NOTE. Data contained in parentheses were calculated by extrapolation of the functions beyon
B40 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

> O O O O O

O K» O O O O I

\>

oooo coocooococ- ocooooocnox

* o m o LT> o :
200.

205.

210.

215.

220.

225.

230.

235.

2UO.

21*5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

13

15

17

18

20

22

2U

27

29

32

35

38

i»l

U5

1*9

53

57

Gl

GO

71

76

( 82

( 87

( 93

(100

(107

.895

.U09

.OU7

.817

.726

.781

.989

.358

.895

.609

.507

.597

,88'J

.389

.108

.053

.235

.663

.31*6

.295

.519

.030)

.839)

.958)

.397)

.171)

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

.98ii

.979

.971*

.969

.96U

.959

.951*

.91*9

.91*1*

.938

.933

.927

.922

.916

.910

.905

.899

.893

.887

.880

.87U

.868

.861

.851*

.81*7

.81*0

18

18

17

17

16

15

15

111

13

13

12

11

10

9

7

6

5

3

1

-0

-2

-5

-7

-10

-li»

-17

.U2

.01

.57

.09

.56

.99

.37

.69

.96

.15

.28

.33

.23

.15

.91

.55

.06

.1*2

.02

.37

.57

.00 (

.71 (

.72 (

.08 (

.85 (

-30

-31

-32

-33

-31*

-3U

-35

-35

-36

-36

-36

-36

-36

-35

-31*

-33

-31

-29

-25

-22

-17

-11

-3

5

17

31

.990

.768

.538

.289

.008

.679

.286

.809

.22U

.506

.G25

.5i»G

.227

.623

.670

.321

.1*82

.061*

.958

.030

.117

.019) (

.1*92) (

.773) (

.160) (

.161) (

-6532.

-6931*.

-7337.

-7736.

-8125.

-81*95.

-8837.

-91U1.

-9395.

-9585.

-9692.

-9698.

-9580.

-9309.

-8852.

-8172.

-7221.

-59U1*.

-U273.

-2126.

598.

U023. )

8301.)

1362%.)

2021*6.)

281*69.)

20.

20.

20.

20.

20.

20.

21.

21.

21.

21.

21.

21.

21.

21.

22.

22.

22.

22.

22.

22.

23.

23.

23.

23.

23.

23.

1*3

53

61*

7U

85

96

07

18

30

1*2

55

67

81

91*

08

22

37

52

67

83

00

17

35

53

73

93

3£.

39.

39.

UO.

Ul.

1*2.

1*2.

US.

(*<«.

1*1*.

1*5.

1*6.

1*7.

1*7.

1*8.

1*9.

50.

51.

52.

52.

53.

( 51*.

( 56.

( 57.

( 58.

( 59.

U29

161*

89U

621

3i«U

065

785

505

227

952

682

1*19

165

923

696

1*87

301

11*3

019

936

902

929)

030)

222)

521*)

96U)

78

77

75

71*

73

71

70

69

67

66

65

61*

62

61

60

58

57

55

5U

52

- 51

( U9

( 1*8

( 1*6

( 1*1*

( U2

NOTE. Data contained in parentheses were calculated by extrapolation of the functions beyo
oooooocoooCT)CT>CTid oo^cnooooooo

> 0t CT CT O OO« lrHtHcNICN|OJK\K>

ir^KsrAc^JCNje^JCMc^i

\>

1 *

O O C O OOOOOOOOOO OCOOOOOOOl
200.

205.

210.

215.

220.

225.

230.

235.

2UO.

21*5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

13

15

16

18

20

22

2U

26

29

31

3i«

37

1*1

1*1*

1*8

52

56

60

65

69

75

( 80

( 86

( 92

( 98

(105

.621*

.108

.711*

.1*50

.322

.337

.502

.825

.311*

.975

.816

.81*6

.073

.505

.151

.019

.119

.1*59

.01*9

.900

.020

.1*20)

.112)

.106)

.U15)

.OU9)

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

n

0

0

0

0

0

0

0

0

0

.000

.995

.990

.985

.981

.976

.971

.966

.961

.955

.950

.91*5

.91*0

.931*

.929

.921*

.918

.912

.907

.901

.895

.889

.883

.877

.871

.861*

19

19

18

18

18

17

17

16

15

15

11*

13

12

11

10

9

7

6

it

3

1

-0

-3

-5

-8

-12

.65

.31

.93

.52

.07

.58

.01*

.U6

.81

.11

.35

.51

.60

.60

.50

.29

.97

.52

.92

.16

.22

.91* (

.32 (

.97 (

.92 (

.19 (

-30

-31

-32

-32

-33

-33

-31*

-31*

-35

-35

-35

-31*

-31*

-33

-32

-30

-28

-26

-22

-18

-13

-6

1

10

22

37

.836

.502

.157

.789

.381*

.926

.399

.782

.051

.179

.136

.885 .

.385

.586

. U32

.851*

.77U

.09?

.701*

.1*62

.203

.719) (

.21*1) (

.996) (

.91*1*) (

.591*) (

-521*9.

-5598.

-59UG.

-6288.

-661E.

-6923.

-7199.

-7!*33.

-7613.

-7721*.

-771*8.

-7P6U.

-71*50.

-7075.

-6507.

-5706.

-U623.

-3201.

-1370.

951*.

3876.

7523.)

12053.)

17667.)

21.618.)

33229. )

20. U2

20.52

20.62

20.72

20.82

20.92

21.03

21.11.

21.25

21.36

21. US

21.60

21.72

21.85

21.97

22.10

22.2U

22.37

22.51

22.66

22.81

22.96

23.11

23.28

23.1*1*

23.61

37.

38.

39.

UO.

1*0 . ui!

1.2.

U2.

1*3.

1*1*.

1*5.

US.

UG.

U7.

U8.

US.

U9.

50.

51.

52.

53.

( 5U.

( 55.

( 56.

( 58.

( 59.

906

630

3U9

065

777

U89

199

911

625

3UU

069

802

5U7

306

083

882

709

568

U67

U15

U21

UH9) (

663) (

935) (

33U) (

897) (

79.U

78.0

76.7

75.3

7U.0

72.7

71.U

70.1

68.8

67.5

66.2

6U.9

C.3.

62.3

60.9

59.6

58.2

56.7

55.3

53. S

52.2

50.5

US. 8

UG.9

UU.9

U2.7

NOTE. Data contained in parentheses were calculated by extrapolation of the functions beyon
Table 12. NaCl concentration:

t

<°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

11*0.

1U5.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

P

(bara)

0.1*05

o .1*91*

0.600

0.723

0.867

1.031*

1.226

1.1*1*8

1.700

1.988

2.31U

2.682

3.097

3.561

1*.080

U.658

5.300

6.009

6.793

7.655

8.601

9.637

10.768

12.001

(g cm" )

1.108

1.105

1.102

1.099.

1.096

1.092

1.089

1.085

1.082

1.078

1.07U

1.070

1.066

1.062

1.058

1.051.

1.050

1.01*6

1.01*2

1.037

1.033

1.029

1.021*

1.020

a

4. 0000 mol /kg HgO '

^

(cm mol ) (J mol K )

22.68

22.70

22.71

22.73

22.7U

22.71*

22.71*

22.73

22.72

22.70

22.67

22.63

22.58

22.52

22.1*5

22.37

22.27

22.16

22.03

21.88

21.72

21.51.

21.33

21.10

-31*. 11*0

-33.621*

-33.092

-32.51*6

-31.988

-31.U20

-30.8UO

-2i*.85G

-21*. £60

-2U. 905

-21*. 993

-25.125

-25.303

-25.526

-25.796

-26.110

-26.1*67

-26.866

-27.301*

-27.777

-28.282

-28.812

-29.363

-29.927

Hf

(J mol" 1)

-1*1*15.

-1(21(7.

-1*071.

-3888.

-3699.

-3502.

-3299.

-1039.

-1053.

-1097.

-1152.

-1226.

-1321.

-11*36.

-1572.

-1730.

-1908.

-2107.

-2326.

-256U.

-2819.

-3090.

-3373.

-3C67.

V L

. a ,-i% (cm mol )

18.71

18.76

18.81

18.87

18.92

13.98

19.01*

19.11

19.17

19.23

19.30

19.37

19.UI*

19.51

19.59

19.66

19.71*

19.82

19.90

19.98

20.07

20.15

20.21*

20.33

18.95 wt percent

SL

AS

(Jmol^K" 

16.682

17.687

18.683

19.608

20.6i»U

21.608

22.559

23.862

21*. 751

25.627

26.U89

27.338

28.171*

28.998

29.810

30.610

31.399

32.177

32.91.5

33.701*

3U. 1*53

35.19U

35.927

36.652

121.780

119.559

117.391

115.271*

113.20U

111.181*

109.211

106.919

105.072

103.268

101.505

99.782

98.09C

96.1*1*6

9U.S30

93.21.6

91.C91*

90.170

88.675

87.205

85.760

81*. 338

82.938

81.557
200.

205.

210.

215.

220.

225.

230.

235.

240.

21.5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

13.3U1

14.795

16.369

18.070

19.90U

21.879

2U. 001

26.277

28.715

31.323

31*. 107

37.076

1*0.238

1*3.601

1*7.173

50.963

51*. 980

59.232

63.729

68.1*80

73.1*95

( 78.785)

( 81*. 359)

( 90.229)

( 96.1*06)

(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

0.9U7

0.91*2-

0.937

0.932

0.926

0.921

0.916

0.910

0.905

0.900

0.891*

0.888

20.85

20.57

20.26

19.91

19.51*

19.12

18.67

18.17

17.62

17.02

16.35

15.63

Ik. 8k

13.96

13.01

11.96

10.80

9.53

8.13

6.59

U.89

3.01

0.93

-1.37

-3.90

-6.70

-30

-31

-31

-32

-32

-33

-33

-33

-33

-33

-33

-33

-32

-31

-30

-28

-26

-23

-19

-15

-9

( -2

( 5

( 15

( 28

( 1*3

.1*97

.062

.611*

.138

.622

.050

.1*03

.661

.799

.791

.603

.200

.538

.567

.228

.1*52

.158

.2U6

.600

.079

.509

.680) (

.669) (

.865) {

.319) (

.557) (

-3967.

-1*269.

-U568.

-1*858.

-5133.

-5383.

-5600.

-5771.

-5885.

-5926.

-5875.

-5712.

-51(12.

-1*91*6.

-1*279.

-3369.

-21G9.

-618.

1356.

3839.

6937.

10783.)

1551*0.) .

21U13.)

2866U. )

37626.)

20.1*2

20.51

20.61

20.70

20.80

20.90

21.00

21.11

21.21

21.32

21.1*3

21.5U

21.65

21.77

21.89

22.01

22.13

22.25

22.38

22.51

22.6U

22.77

22.91

23.05

23.19

23.31*

37.372

38.086

38.795

39.501

1*0.201*

1*0.906

1*1.609

1*2.313

1*3.021

lt3.73U

1(1*. 1*56

1*5.187

1*5.933

1*6.695

U7.i*79

1*8.288

1*9.130

50.009

50.935

51.918

52.908

( 51*. 101)

( 55.33U)

( 56.691)

( 58.198)

( 59.892)

80.

78.

77.

76.

71*.

73.

72.

71.

69.

08.

67.

05.

61*.

63.

61.

60.

59.

57.

56.

51*.

53.

( 51.

( U9.

( U7.

( US.

( 1*3.

19

81*

51

20

89

59

30

01

73

i«5

16

86

56

2U

90

53t

13

70

21

67

05

35

55

62

53

21*

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

t

<°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

1UO.

11*5.

150.

155.

160.

1G5.

170.

175.

ISO.

185.

190.

195.

13. NaCl concentration:

P

(bars)

O.UOO

O.U88

0.592

0.71U

0.856

1.021

1.211

1.U29

1.679

1.963

2.285

2.61*9

3.059

3.518

i*.031

U.602

5.236

5.937

G.712

7.5GU

8.1*99

9.523

10.61*2

11.861

dL

-3

(g cm )

1.116

1.113

1.110

1.107

1.10U

1.100

1.097

1.093

1.090

1.086

1.082

1.078

1.075

1.071

1.067

1.062

1.058

1.051*

1.050

l.OU I)

1.01*1

1.037

1.033

1.028

V L

4.2777mol/kgHaO '

§* 

(cm mol ) (J mol K )

22.81*

22.87

22.90

22.93

22.95

22.97

22.98

22.99

22.99

22.98

22.97

22.95

22.92

22.88

22.82

22.76

22.69

22.60

22.1*9

22.37

22.23

22.08

21.90

21.70

-3U. 981

-31*. U25

-33.852

-33.265

-32.665

-32.053

-31.U29

-25.301*

-25.272

-25.280

-25.331

-25.1*25

-25.565

-25.71*9

-25.979

-26.253

-26.570

-2G.927

-27.323

-27.753

-28.211*

-28.700

-29.205

-29.722

HaL

(J mol" 1 )

-1*167.

-3985.

-3795.

-3597.

-3392.

-3179.

-2959.

-6U5.

-652.

-675.

-715.

-775.

-85U.

-953.

-1073.

-1213.

-1371*.

-1556.

-1756.

-1975.

-2211.

-21*61.

-2721*.

-2996.

V L

(cm mol

18.73

18.78

18.83

18.89

18.91*

19.00

19.06

19.12

19.19

19.25

19.32

19.39

19.U6

19.53

19.60

19.68

19.75

19.83

19.91

19.99

20.08

20.16

20.25

20.31*

20.00 wt percent

SL

AS

) (Jmor

16.U31

17.1*36

18.1*31

19.1*16

20.391

21.356

22.307

23.61*1

21*. 527

25.399

26.258

27.10U

27.936

28.756

29.56U

30.360

31.1U5

31.919.

32.682

33.1*36

31*. 180

31*. 916

35.61*1*

36.361*

122.11

119.92

117.7

115.61

113.5

111.5

109.5

107.2

105.1*

103.6

101.8

100.1

98.1*

96.8

95.1

93.6

92.0

90.5U

89.0

87.5

86.1

8U. 7

83.3U

81.9
200.

205.

210.

215.

220.

225.

230.

235.

21*0.

2i»5.

250.

255.

2GO.

2C5.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

13

lit

1C

17

19

21

23

25

2B

30

33

36

39

U3

UG

50

5U

58

63

67

. 72

( 77

( 83

( 89

( 95

(101

.186

.623

.179

.861

.675

.627

.725

.976

.387

.9b6

.719

.655

.782

.108

.f>l|0

.388

.350

.565

.012

.710

.669

.899)

.l»ll)

.211*)

.321)

.71*2)

1

1

1

1

1

1

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

.021*

.019

.015

.010

.005

.001

.996

.991

.086

.981

.977

.972

.967

.962

.957

.952

.9U7

.01*2

.937

.932

.927

.922

.916

.911'

.906

.901

21.1*8

21.23

20.96

20.65

20.31

19. 9U

19.53

19.07

18.57

18.02

17.U1

16.75

16.02

15.22

11*. 33

13.36

12.29

11.12

9.82

8.UO

6.83

5.09 (

3.18 (

1.07 (

-1.25 (

-3.80 (

-30.2UI*

-30.760

-31.261

-31.733

-32.163

-32.531*

-32.829

-33.02C

-33.100

-33.025

-32.7f,6'

-32.289

-31.51*7

-30.1*92

-29.0C3

-27.190

-2U. 790

-21.761*

-17.993

-13.331*

-7. Gil

-0.611) (

7.931) (

18.31*7) (

31.053) (

1*6.586) (

-327U.

-3553.

-3828.

-1*093.

-i»3i»l.

-U56U.

-1*751.

-1*893.

-i*q7'i.

-1*980.

-1*893.

-1*691.

-l*3l*9.

-3838.

-3123.

-2160.

-902.

713.

2756.

5317.

8503.

121*1*8. )

17317.)

23319. )

30720.)

39858.)

20.1*2

20.52

20.61

20.70

20.80

20.90

20.99

21.10

21.20

21.30

21. U1

21.52

21.63

21.71*

21.85

21.96

22.08

22.20

22.32

22.1*1*

22.56

22.69

22.81

22.91.

23.07

23.20

37

37

38

39

39

1*0

1*1

1*1

1.2

1*3

1*1*

l«l*

U5

1*6

1*7

1*7

US

1*9

50

51

52

( 53

( 55

( 56

( 58

( 59

.079

.788

.1*92

.193

.891

.589 .288"^

.988

.693

.I*OU

.121*

.856

.602

.367

.155

.971

.822

.713

.655

.658

.731*

.898) (

.171) (

.577) (

.1UU) (

.913) (

80

79

77

76

75

71*

72

71

70

68

67

66

05

G3

62

61

59

58

56

55

53

51

1*9

U7

U5

U3

NOTE. Data contained in parentheses were calculated by extrapolation of the functions beyo
B48 PRELIMINARY STEAM TABLES FOR Nad SOLUTIONS

» o o o o o o

moors) co-*ocsir*.

t CM O Cl CO <

 .O CM CM CNJ O* K\

cncic^ooooooo

* I I I I I I I I I I I I I I

l>

I O O O O OOOOOOOOOO

~, O O O O O 1

OlTlOLTl OLAOLAOLAOLTlOl
200.

205.

210.

215.

220.

225.

230.

235.

21*0.

2<*5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

205.

300.

305.

510.

315.

320.

325.

13

lit

16

17

10

21

23

25

28

30

33

36

39

i»2

1*6

1*9

53

58

62

67

72

( 77

( 82

( 88

( 9U

(100

.001

.1)86

.028

.695

.i»92

.1*27

.507

.738

.120

.083

.U12

.323

.1*22

.718

.220

.935

.872

.01*0

.1*1*7

.101*

.020

.203)

.066)

.1*18)

.1*70)

.831*)

1.030

1.02C

1.021

1.017

1.012

1.007

1.003

0.998

"0.993

0.989

0.981*

0.979

0.971*

0.969

0.961*

0.960

0.955

0.950

0.91*5

0.91*0

0.935

0.930

0.925

0.921

0.916

0.911

21.07

21.75

21.50

21.22

20.91

20.57

20.19

19.77

19.31

18.80

18.21*

17.62

16.91*

16.19

15.36

11*. 1*5

13.1*5

12.35

11.11*

9.81

8.33

6.71

U.93

2.96

O.S1

-1.55

-30

-30

-30

-31

-31

-32

-32

-32

-32

-32

-32

-31

-30

-29

-28

-20

-23

-20

-16

-12

-6

( 0

( 9

( 20

{ 33

( 1*8

.013

.1*93

.956

.389

.779

.109

.361

.513

.51*1

.1.16

.106

.573

.771*

.657

.161

.216

.739

.628

.765

.003

.166

.961) (

.61*8) (

.228) (

.121*) (

.878) (

-2728.

-2939.

-32U7.

-3U93.

-3722.

-3921*.

-1*091.

-1*210.

-1*207.

-U2U8.

-Iil3i*.

-3901*.

-3531.

-2987.

-2236.

-123U.

67.

1728.

3821*.

61*1*3.

9691*.

13712.)

18665. )

2U76U.)

32277.)

1*151*8.)

20.1*3

20.52

20.61

20.70

20.80

20.89

20.99

21.09

21.19

2U29

21.39

21.50

21.61

21.71

21.82

21.93

22.05

22.16

22.27

22.39

22.51

22.62

22.71*

22.86

22.99

23.11

36

37

38

38

39

1*0

1*1

Ul

1*2

1*3

1*3

1*1*

1*5

1*6

1*6

1*7

US

1*9

50

51

52

( 53

( 55

( 56

( 58

( 59

.81*5

.550

.251

.91*8

.61*3

.338

.033

.731

.1*31*

.11*1*

.863

.59U

.31.2

.109

.901

.723

.580

.1*82

.1*37

.1*56

.553

.71*1*)

.01*9)

.1*91*)

.111)

.91*0)

80

79

78

76

75

7U

73

71

70

69

68

66

65

61*

62

61

60

58

57

55

53

( 52

( 50

( 1*8

( 1*6

( 1.3

.9

.6

.3

.9

.7

.1

.1

.8

.5

.3

.0

.7

.1*

.1

.7

.1

.0

.5

.0

.1

.8

.0

.2

.2

.0

.6

NOTE. Data contained in parentheses were calculated by extrapolation of the functions beyon
Table 15. NaCl concentration:

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

11*0.

11*5.

150.

155.

160.

1C5.

170.

175.

180.

185.

190.

195.

P

(bars)

0.385

0.1*70

0.571

0.689

0.826

0.986

1.169

1.381

1.622

1.898

2.210

2.562

2.959

3. 1*01*

3.901

i».l»5l»

5.069

5.750

6.501

7.328

8.235

9.229

10.315

11.1*98

4

(g cm" )

1.137

1.131*

1.131

1.128

1.121*

1.121

1.117

l.lli*

1.110

1.106

1.103

1.099

1.095

1.091

1.087

1.083

1.079

1.075

1.070

1.066

1.062

1.058

1.053

1.0U9

V L

(cm mol )

23.21*

23.30

23.36

23.U1

23.1*7

23.52

23.56

23.61

23.65

23.68

23.71

23.73

23.71*

23.75

23.75

23.73

23.71

23.68

23.63

23.57

23.50

23.1*1

23.30

23.18

5. 0000 mol /kg H O '

«£

(Jmol^K-1)

-36.61*9

-35.997

-35.326

-3I*.6U1

-33.9U1

-33.228

-32.500

-26.050

-25.931*

-25.856

-25.821

-25.828

-25.880

-25.976

-26.116

-26.299

-26.52U

-26.789

-27.091

-27.1(26

-27.789

-28.176

-28.580

-28.99U

5f

(J mol" 1 )

-31(32.

-3216.

-2991.

-2757.

-2515.

-2265.

-2006.

U32.

1*58.

1*69.

U62.

1*38.

391*.

331.

2U9.

1U6.

21*.

-117.

-277.

-i(5<( .

-61(6.

-852.

-1069.

-1291*.

V L

. 3 -1

(cm mol ]

18.78

18.83

18.88

18.9U

18.99

19.05

19.11

19.17

19.21*

19.30

19.37

19.U3

19.50

19.57

19.65

19.72

19.80

19.87

19.95

20.03

20.11

20.19

20.28

20.36

22.61 wt percen

SL AS

| (Jmol^

15.757

16.762

17.757

18.71*2

19.718

20.686

21.637

23.052

23.931

21*. 797

25.61*9

26.1*87

27.311

28.123

28.921

29.708

30.1(83

31.21(6

31.998

32.71*1

33.1(73

3U.197

3'*. 913

35.622

123.

120.9

118.7

110.6

111*. 

112.5

110.5

108.

106.3

10U.

102.7

101.0

99.3

97.7

96.1

91*. 

93.0

91.5

90.0

88. 

87.

85.7

81*. 

83.0
200.

205.

210.

215.

220.

225.

230.

235.

21(0.

21*5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

12.785

11*. 181

15.692

17.326

19.088

20.985

23.023

25.211

27.551*

30.060

32.736

35.590

38.630

1*1.863

1*5.297

1*8.91*1

52.803

56.891

61.211*

65.782

70.603

( 75.688)

( 81.01*6)

( 86.687)

( 92.622)

( 98.863)

l.OUl*

l.OUO

1.036

1.031

1.027

1.022

1.017

1.013

1.008

l.OOl*

0.999

0.991*

0.990

0.985

0.981

0.976

0.971

0.967

0.962

0.958

0.953

0.9U9

0.9UI*

0.9UO

0.936

0.932

23.03

22.86

22.67

22.1*6

22.21

21. 9<*

21.63

21.29

20.91

20.1*9

20.02

19.50

18.93

18.29

17.59

16.82

15.97

15.03

13.99

12.85

11.59

10.22

8.70

7.05

5.26

3.33

-29

-29

-30

-30

-30

-31

-31

-31

-31

-31

-30

-30

-29

-27

-26

-21*

-21

-18

-11*

-9

. -3

( I*

( 13

( 21*

( 37

( 53

.1*10

.818

.207

.565

.876

.125

.292

.356

.291

.070

.657

.016

.102

.861

.233

.1U6

.513

.233

.183

.215

.11*9

.237) (

.217) (

.133) (

.U19) (

.630) (

-1522.

-1751.

-1973.

-2183.

-2373.

-253G.

-2660.

-2735.

-27U6.

-2677.

-2511.

-2223.

-1790.

-1180.

-358.

721.

2108.

3863.

6061*.

8799.

12182.

163U9. )

211*73.)

27770.)

35513.)

1*5058. )

20.U5

20.53

20.62

20.71

20.80 .

20.90

20.99

21.08

21.18

21.28

21.38

21.1*8

21.58

21.68

21.78

21.88

21.99

22.09

22.19

22.30

22. UO

22.51

22.61

22.72

22.82

22.93

36.321*

37.020

37.713

38.1*02

39.090

39.778

1*0.1*67

1*1. 1GO

U1.859

1*2. 5G6

1*3.281*

1*1*. 016

1*1*. 767

1*5.51*0

1*6.31*1

U7.176 "

1*8.052

1*8.978

1*9.963

51.021

52.166

( 53.1*16)

( 51*. 795)

( 56.330)

( 58.059)

( 60.026)

81.71

80.38

79.08

77.78

76.50

75.22

73.95

72.G9

71.1*2

70.16

68.88

67.60

66.30

6U. 98

63.61

62.27

60.85

59.39

57.86

56.26

51*. 58

( 52.78

( 50.86

( 1*8.7

( U6.U9

( 1*3.9

NOTE. Data contained in parentheses were calculated by extrapolation of the functions beyond 
Table 16. NaCl concentration: 5.5000mol/kg HQ 24.32 wt percent 

t

<°0

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.'

11*0.

11*5.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

P

(bars)

0.375

O.U58

0.556

0.671

0.805

0.961

1.11*0

1.3U6

1.533

1.851

2.156

2.501

2.889

3.321*

3.810

U.352

i».95U

5.620

6.355

7,165

8.051.

9.027

10.091

11.251

dL

(g cm" )

1.151

1.1U8

1.1U5

1.1U2

1.138

1.135

1.131

1.128

1.121*

1.120

1.116

1.112

1.108

1.10U

1.100

1.096

1.092

1.088

1.081*

1.080

1.075

1.071

1.067

1.062

V L

(cm mol )

23.50

23.57

23.65

23.73

23.80

23.87

23. 9U

2U.01

21*. 07

21*. 13

21.. 19

21*. 21*

2I..28

21.. 32

2U.35

2k. 37

21.. 38

21*. 38

2U.37

21*. 35

21*. 32

21*. 28

21*. 21

21*. 11*

*

(Jmol^K"1)

-37.1*08

-36.696

-35.965

-35.219

-3i*.i»58

-33.683

-32.892

-26.2U6

-26.079

-25.951

-25.fG'i

-25.821

-25.821

-25.8G6

-25.955

-26.086

-26.259

-26.1*72

-26.721

-27.002

-27.311

-27.61*1*

-27.902

-28.350

H^

(J mol" 1)

-281*5.

-2608.

-2362.

-2106.

-181*1.

-15P8.

-1286.

1227.

1273.

1303.

1317.

1312.

1290.

121*8.

1187.

1106.

1006.

887.

750.

597.

1*28.

21.7.

55.

-1U1*.

V L

(cm mol" )

18.82

18.87

18.92

18.97

19.03

19.09

19.15

19.21

10.27

19.31*

19.UO

19.1*7

19.51*

19.61

19.68

19.76

19.83

19.91

19.98

20.06

20.11*

20.22

20.30

20.39

SL AS

i (J mol" 1 K

15.271*

16.280

17.276

18.262

19.239

20.208

21.162

22.631*

23.510

21*. 371

25.219

26.052

26.872

27.678

28.U71

29.252

30.020

30.777

31.523

32.258

32.983

33.700

3I..I.08

35.109

123.850

121. G2

119.1*51

117.333

115. 2GO

113.232

111.255

108.791

106.959

, 105. 1G

103.1.2

101.711

100.0U

98.U11

96.81

95.25

93.72

92.23

90.76

89.32

87.901

86.51

85.11.

83.79U
200.

205.

210.

215.

220.

225.

230.

235.

21*0.

2i»5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

12

13

15

1C

18

20

22

21*

26

29

32

3U

37

Ul

l»lt

i»7

51

55

60

6 it

69

( 7I»

{ 79

( 85

( 90

( 97

.512

.880

.362

.96U

.691

.552

.551

.697

.996

.1*55

.081

.882

.865

.038

.1*09

.986

.777

.791

.035

.520

.25U

.2U6)

.507)

.OU6)

.871*)

.002)

1.058

1.05U

1.01(9

1.01*5

1.0i»0

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

0.97U

0.970

0.966

0.962

0.958

0.9514

0.951

2k. Ok

23.93

23.79

23.63

23.U5

23. 21*

23.01

22. 7U

22.i»U

22.10

21.71

21.29

20.82

20.29

19.71

19.07

18.35

17.57

16.70

15.71*

11*. 70

13.55

12.30

10.95

9.50

7.97

-28

-29

-29

-29

-29

-30

-30

-30

-30

-29

-29

-28

-27

-26

-2U

-22

-19

-16

-11

-6

-0

( 7

( 16

( 27

( Ul

( 57

.709

.058

.387

.682

.930

.112

.210

.202

.063

.762

.266

.536

.527

.185

.1*1*7

.21*1

.1*78

.055

.81*7

.703

.1*39

.170) (

.1*05) (

.616) (

.21.5) (

.862) (

-3U5.

-5U6.

-7UO.

-920.

-1079.

-1209.

-1300.

-1338.

-1311.

-1202.

-992.

-659.

-176.

1*88.

1370.

2511*.

3972.

5807.

8095.

10931.

11*1*26.

18722. )

23995.)

30U65.)

38U12.)

1*8200.)

20.1*7

20.56

20.GU

20.73

20.82

20.91

21.00

21.09

21.18

21.28

21.37

21.1*7

21.56

21.66

21.75

21.85

21.95

22.01*

22.11*

22.23

22.33

22.1*2

22.51

22.60

22.69

22.78

35

36

37

37

38

39

39

1*0

1*1

1*1

1*2

1*3

I* I*

kk

1*5

1*6

1*7

1*8

1*9

50

51

( 53

( 5U

( 56

( 58

( 60

.803

.1*92

.177

.860

.5U1

.223

.907

.595

.290

.995

.713

.1*1*7

.201

.981

.793

.61*2

.537

.1*87

.501*

.601

.79U

.106)

.559)

.187)

.029)

.136)

82.1*65

81.152

79.85U

78.569

77.295

76.029

71*. 769

73.512

72.25i(

70.993

09.725

68.UU5

67.11*8

65.829

6U. U82

63.100

61.672

60.191

58.61*3

57.015

55.289

( 53.UI*!

( 51.1*55

( 1*9.289

( H6.905

( 1*1*. 253

NOTE. Data contained in parentheses were calculated by extrapolation of the functions beyond t
Table 17. NaCl concentration: 5.7036mol/kg HaO 25.00 wt percent 

t

t°0

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

1UO.

11*5.

150.

155.

160.

ItiS.

170.

175.

180.

185.

ISO.

105.

P

(bars)

0.370

0.1(53

0.550

0.663

0.79G

0.950

1.128

1.332

1.566

1.832

2.13U

2.1*76

2.860

3.291

3.773

1*.310

i».907

5.567

6.296

7.099

7.980

8.91*6

10.001

11.151

dL

(g cm" )

1.157

1.151*

1.150

1.11(7

1.1UU

1.11*0

1.137

1.133

1.129

1.125

1.122

1.118

l.lli*

1.110

1.106

1.102

1.098

1.093

1.089

1.085

1.081

1.076

1.072

1.068

V L <£

(cm mol ) (J mol K )

23.60

23.68

23.77

23.85

23.93

2U. 01

21*. 09

21*. 17

21*. 2U

21*. 31

21*. 38

21). 1)1)

2U. 1*9

21*. 51*

21*. 58

2U.62

21*. 6U

21*. 66

21*. 67

 21*. 66

21*. 65

21*. 62

21*. 57

.21). 51

-37.633

-36.897

-36.1U3

-35.37i(

-3i(.589

-33.791

-32.977

-26.257

-26.071

-25.921*

-25.819

-25.756

-25.738

-25.76U

-25.83U

-25.91*7

-26.102

-26.296

-26.526

-26.788

-27.079

-27.392

-27.721

-28.060

HaL

(J mol" 1 )

-2589.

-231*3.

-2088.

-182i(.

-1551.

-1269.

-978.

1563.

1616.

1653.

1671*.

1678.

1663.

1629.

1575.

1502.

1U10.

1299.

1170.

1025.

865.

692.

509.

319.

V L

(cm mol

18.83

18.88

18.91*

18.99

19.05

19.11

19.17

19.23

19.29

19.35

19.1*2

19.1*9

19.56

19.63

19.70

19.77

19.85

19.92

20.00

20.08

20.16

20.2U

20.32

20.UO

SL as 

) (J mol" 1 K" 

15.071*

16.080

17.076

18.063

19.01*1

20.011

20.966

22.1*61

23.336

2U. 196

25.01*2

25.873

26.691

27.1*95

28.286

29.0C5

29.831

30.585

31.328

32.060

32.783

33.U96

3U.202

3U. 899

121*. 150

121.921*

119.751

117.628

115.551*

113.525

111.51*6

109.061

107.227

105.U38

103.691

101.985

100.318

98.689

97.096

95.537

91*. Oil

92.515

91.01*9

89.610

88.198

86.809

85.1*1*3

8U.098
200.

205.

210.

215.

220.

225.

230.

235.

2UO.

2i«5.

250.

255.

2CO.

265.

270.

275.

280.

285.

290.

235.

300.

305.

310.

315.

320.

325.

12

13

15

16

18

20

22

2k

26

20

31

3li

37

1*0

l*l*

i»7

51

55

53

6l|

68

( 73

 ( 78

( 8U

( 'JO

( 06

.U01

.759

.229

.818

.532

.378

.363

.1*92

.773

.211*

.820

.601

.562

.712

.058

.009

.373

.357

.572

.02i»

.725

.682)

.905)

.1*05)

.192)

.277)

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

1.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

0.

063

059

055

050

01*6

Oi»l

037 .

032

028

021*

019

015

010

OOC

002

997

993

989

985

981

977

973

969

965

962

958

2i«.i|i»

2U.35

2U.23

21*. 10

23.9I»

23.76

23.55

23.31

23. OU

22.73

22.38

22.00

21.56

21.38

20.55

19.95

19.29

18.57

17.77

16.88

15.92

Id. 86

13.72

12. U8

11.16

9.79

-28

-28

-23

-29

-29

-29

-29

-29

-29

-29

-28

-27

-26

-25

-23

-21

-18

-15

-10

-5

0

( 8

( 17

( 28

( U2

( 59

.398

.727

.035

.309

.53it

.691*

.769

.736

.570

.2if2

.718

.957

.915

.537

.761

.512

.703

.230

.905

.757

.578

.270) (

.599) (

.918) (

.676) (

.1*1*6) (

127.

-L'U.

-21*8.

-l»18.

-567.

-686.

-76d.

-791.

-751.

-628.

-i»03.

-53.

l»U7.

1130.

2033.

3200.

i»683.

65i»6.

' 88C7.

11738.

1527U.

19G18. )

21*91*6. )

31U79. )

39503.)

It9382. )

20. US

20.57

20.60

20.71*

20.83

20.92

21.01

21.10

21.19

21.28

21.37

21.1*7

21.56

21.65

21.75

21.81*

2i:9i*

22.03

22.12

22.21

22.30

22.39

22.U8

22.57

22.65

22.71.

35.

36.

36.

37.

38.

38.

39.

UO.

1*1.

M.

1*2.

U3.

U3.

1*1).

1*5.

1*6.

1*7.

US.

Ii9.

50.

51.

( 52.

( 5U.

( 56.

( 58.

( 60.

591

277

959

639

317

997

678

365

059

763

,1*81

,216

,972

755

570

1*26

328

289

318

1*32

,61*6

.982)

,1*66)

,132)

,020)

,185)

. 82

81

80

78

77

76

75

73

72

71

70

68

67

66

61*

63

62

60

58

57

55

( 53

( 51

( 1*9

( 1*7

( 1*1*

.7

.U

.1

.8

.6

.3

.0

.8

.5

.3

.0

.7

.1

.1

.8

.U

.0

.5

.9

.3

.5

.

.

.1

.

.3

NOTE. Data contained in parentheses were calculated by extrapolation of the functions beyon
Table 18. NaCl concentration: 6.0000mol/kg HaO 25.96 wt percen

t

(°C)

80.

85.

90.

95.

100.

105.

110.

115.

120. ,

125.

130.

135.

1UO.

.1U5.

150.

155.

ICO.

165.

170.

175.

180.

185.

190.

195.

P

(bars)

0.361*

0.1*1*5

0.5UO

0.652

0.783

0.935

1.110

1.311

1.5U2

1.801*

2.102

2.U39

2.818

3.21*1*

3.719

U.2I*')

'*.838

S.U'JO

6.210

7.003

7.873

8.827

9.870

11.006

dL

(g cm" )

1.165

1.161

1.158

1.155

1.151

1.11*8

1.11*1*

1.1U1

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

1.08U

1.080

1.075

V L

(cm mol )

23.75

23.81*

23.03

2i». 03

2U. 12

21*. 22

21*. 31

2U. UO

2U. 1*8

21*. 57

21*. 65

21*. 72

21*. 80

2U. 86

2i». 92

21*. 07

25.02

25.96

25.08

25.10

25.11

25.10

25.08

25.05

s3L

(Jmol^K^)

-37.876

-37.107

-36.321

-35.520

-3U. 703

-33.872

-33.026

-26.205

-25.992

-25.820

-25.659

-25.602

-25.550

-25.560

-25.605

-25.60it

-25.821*

-25.993

-26.199

-26.1*37

-26.703

-26.992

-27.296

-27.609

HL

(J mol" 1 )

-2196.

-191*0 .

-1673.

-1398.

-1113.

-819.

-515.

2061*.

2127.

2175.

2206.

2220.

2215.

2191.

211*7.

. 2085.

2003.

1902.

178U.

1650.

1500.

1339.

1167.

989.

V L

, 3 .-I,

(cm mol ,

18.85

18.91

18.96

19.01

19.07

19.13

19.19

19.25

19.31

19.38

19.1*5

19.51

19.58

19.65

19.72

19.80

19.87

19.95

20.02

20.10

20.18

20.26

20.31*

20.1*2

SL AS

) (J mol 

li*. 779

15.786

16.783

17.771

18.750

13.721

20.678

22.207

23.080

23.938

21*. 781

25.611

26.1*26

27.227

28.015

28.790

29.553

30.30U

31.0U3

31.771

32.U90

33.199

33.900

3U. 593

121*. 

122.

120.

118.

115.

113.

111.

109.1

107.

105.8

10U. 

102.

100.

99.0

97.5

95.9

9 U 

02)

91.1

90.0

88.

87.2

85.

8U. 
NaCl COMPONENT IN BOILING NaCl SOLUTIONS B57

iAirtiAu*ti/*tAiAiAtn in in in i

10 GO .

in co e-j lo o .» en K\ r. c* 10 -« 10 o in o .» ci ^ en ^cotnooNi^. ^

**   **  ** 'S

^ ^ ^^^ X

A 

^.^^^^ §

orwinoiDO i »H j- oo CSIO>CM r«j.i/\ iAr*-r*mm ^f in in r* o o 

ooio^rr^rH i rH j-i^-K\oa>r-<cotnc7»oo ^roor^oooo

I I I I I I I I I I I I I I I I I

»Hr*-«Nooi^ciinoiDfH r-.r^oo^oiDftrN.Nia* to CM oo ir» »-* oo

OOOOOOOOOO OOOOoOOOCTlCTi Cl CTl O CT> Ol CT>

tv CO LA O rA IA
B58 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

o csi ut oo (

OOCTO^OOOOOO

t tn in in o to I

KtK>K\ rAh-iK*<Mes*eMCVJCMO*«M CMCSCMCMCMCMrslCslC^

III I I I I I I I I I I I I I I I I I I I

>OIA oiAOU"»Oif»oiAOiA oiAOinoirtoiAOi
200.

205.

210.

215.

220.

.225.

230.

235.

2UO.

2i»5.

250.

255.

260.

265.

270.

275.

280.

285.

200.

295.

300.

305.

310.

315;

320.

325.

11

13

11*

16

17

19

21

23

25

28

30

33

36

39

U2

U6

1*9

53

57

C2

66

( 71

( 76

( 82

( 87

( <J3

.976

.292

.718

.260

.923

.716

.61*3

.712

.929

.301

.835

.51*0

.1*20

.1*86

.71*3

.200

.865

.7U6

.851

.189

.769

.600)

.692)

.053)

.695)

.628)

1.083

1.079

1.071*

1.070

1.066

1.061

1.057

1.053

1.0U8

1.0i»U

1.01*0

1.035

1.031

1.027

1.023

1.019

1.015

1.011

1.007

l.OOl*

1.000

0.997

0.993

0.990

0.987

0.98U

25.

25.

25.

25.

25.

25.

25.

25.

25.

25.

21*.

21*.

21*.

21*.

23.

23.

22.

22.

21.

21.

20.

19.

19.

18.

17.

16.

93

SI

88

81*

77

68

57

1*1*

29

ID89

6U

36

01*

68

27

82

32

77

16

50

79

03

23

1*2

65

-27

-27

-27

-27

-27

-28

-28

-27

-27

-27

-26

-25

-2U

-23

-21

-18

-15

-12

-7

-2

I*

( 12

( 21

( 33

( 1*7

( 6U

.062

.331

.577

.789

.950

.OU3

.01*9

.9U1*

.702

.233

.682

.829

.687

.200

.305

.926

.972

.336

.888

.U73

.099

.OE3) (

.709) (

.1*01) (

.600) (

.902) (

19!*1.

1778.

1623.

11*83.

1365.

1279.

1231*.

121*1*.

1323.

11*87.

1756.

2151*.

2707.

Ji* US.

i» 1*15.

5653.

7216.

9169.

11592.

1H5E1.

18253.

22751*.)

28267.)

35020. )

1*3306.)

53503.)

20

20

20

20

20

20

21

21

21

21

21

21

21

21

21

21

21

22

22

22

22

22

22

22

22

22

.5U

.63

.71

.80

.88

.97

.05

.11*

.23

.32

.1*0

.1*9

.58

.67

.75

.81*

.92

.01

.09

.17

.25

.33

.1*0

.U8

.55

.62

31*

35

36

36

37

38

38

39

1*0

1*0

1*1

1*2

1*3

1*3

i*t«

1*5

U6

1*7

1*8

1*9

51

( 52

( 51*

( 55

( 57

( 60

.753

.1*27

.098

.767

.U3G

.196

.779

.1*59

.1U9

.850

.568

.306

.069

.863

.696

.571*

.508

.508

.589

.766

.OCO

.I»9U)

.099)

.911*)

.985)

.375)

' 83

32

81

80

78

77

76

75

73

72

71

70

68

67

66

61*

63

61

60

5£

sr,

( 51*

( 52

( 50

( 1*7

( i*U

.981

.688

.1*0

.139

.882

.E31

.386

.11*

.896

.61*

.383

.106

.808

.1*8

.121

.722

.26C

.71*

.11*

.1*5

.639

.685

.560

.22U

.628

.711

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

t

(°C)

135.

mo.

1U5.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

200.

205.

210.

215.

220.

225.

230.

235.

21*0.

21*5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

20. NaCl concentration:

P

(bars)

2.311

2.673

3.079

3.533

I*. 01*0

U.603

5.227

5.917

6.677

7.513

8.U28

9.1*30

10.522

11.711

13.002

11*. 1*02

15.915

17.51*9

19.310

21.203

23.237

25.1*16

27.7U9

30.21*2

32.902

35.737

38.75U

1*1.961

1*5.365

1*8.971*

52.797

56.8U1

61.116

65.630

( 70.392)

( 75.1*12)

( 80.698)

( 86.262)

( 92.113)

dL

(g cm" )

1.150

1.1U6

1.1U2

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

1.061*

1.060

1.056

1.052

1.0U7

1.01*3

1.039

1.035

1.031

1.027

1.02U

1.020

1.017

1.013

1.010

1.007

l.OOl*

1.001

0.998

V L

(cm mol

25.61*

25.76

25.88

26.00

26.11

26.22

26.32

26.U2

26.51

26.59

26.66

26.72

26.78

26.82

26.85

26.87

26.87

26.86

26.83

26.78

26.72

26.63

26.52

26.38

26.22

26.03

25.80

25.55

25.26

2U. 93

21*. 56

2U. 16

23.72

23.21*

22.73

22.20

21.66

21.16

20.7U

7.0000mol/kg HaO '

«£

MJmol^K"1)

-21*. 58U

-21*. U75

-21*. 1*12

-21*. 395

-21*. 1*22

-21*. U92

-21*. 602

-2U. 71*9

-21*. 930

-25.11*0

-25.372

-25.621

-25.878

-26.136

-26.382

-26.607

-26.796

-26.93it

-27.003

-26.983

-26.852

-26.582

-26.1li3

-25.it99

-2it.610

-23.it28

-21.897

-19.953

-17.517

-11*. U99

-10.789

-6.257

-0.71*1*

5.91*3

( lU. 01*3)

( 23.850)

( 35.73U)

( 50.166)

( 67.753)

HgL

(J mol" 1 )

1*137.

1*159.

1*161.

1*11*1*.

1*107.

1*050.

3975.

3882.

3772.

361*8.

3511.

3365.

3212.

3057.

290U.

2760.

2630.

2523.

2UU9.

2U16.

21*39.

2532.

2711.

2998.

31*11*.

3988.

U753.

57U6.

701U.

8613.

10607.

13078.

16122.

19860.

( 2UUUO.)

( 3001*0.)

( 36912.)

( U5337.)

( 55706.)

V L

(cm

19

19

19

19

19

19

20

20

20

20

20

20

20

20

20

20

20

20

21

21

21

21

21

21

21

21

21

21

21

21

22

22

22

22

22

22

22

22

22

mol )

.60

.67

.7U

.82

.89

.96

.Oil

.11

.19

.27

.35

.<i3

.51

.59

.67

.76

.81*

.93

.01

.09

.18

.27

.35

.UU

.52

.01

.09

.78

.80

.91*

.02

.10

.18

.25

.32 (

.39 (

.1.6 (

.52 (

.58 (

29.03 wt percent

SL

(J

21*. 705

25.512

26.305

27.083

27.8U7

28.598

29.337

30.061*

30.779

31.1*81*

32.179

32.865

33. 51* it

3U.216

3it.88i(

35.51*7

36.209

36.871

37.535

38.201*

38.879

39.565

1*0.261*

UO. 982

1*1.721

i(2.U88

1*3.200

i»i». 133

U5.025

1*5.978

U7.003

1(8.115

U9.332

50.675

52.171)

53.852)

55.759)

57.9U6)

00.1*78)

AS

mol^K" 

103.780

102.121

100.500

98.916

97.369

95.855

91*. 373

92.922

91.500

90.105

88.735

87.388

86.063

8U. 757

83.U69

32.196

80.935

79.685

78.1*1*2

77.203

75.961*

71*. 723

73.1(76

72,216

70.91(0

69.61*0

68.311

66.9U5

65.531

6U. 000

62.519

60.892

59.161

57.301*

( 55.295

( 53.099

( 50.675

( 1(7. 971

( UU. 919
Table

t

21. NaCl

P

(°C) (bars)

160.

1C5.

170.

175.

180.

185.

190.

195.

200.

205.

210.

215.

220.

225.

230.

235.

21*0.

2i»5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

2'J5.

300.

305.

310.

315.

320.

325.

I* ' 5

5

6

7

8

9

10

11

12

11*

15

17

1'J

20

22

25

27

20

32

35

38

1*1

1*1*

1*8

52

50

60

c;<i

( ('.9

( 7U

( 79

( 85

( 91

.523

.138

.818

.568

.392

.295

.283

.361

.535

.810

.192

.687

.302

.01*2

.911*

.925

.080

.388

.855

.1*87

.293

.280

.1*55

.826

.1*01

.188

.195

.U31

.905

.625)

.601)

.81*2)

.350)

.161)

concentration:

dL '

(g cm" )

1.137

1.133

1.128

1.121*

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

1.003

1.059

1.055

1.051

1.01*7

1.01*3

1.039

1.035

1.032

1.028

1.025

1.021

1.018

1.015

1.012

1.000

1.007

a

(cm mol

26.60

26.72

26.81*

26.95

27.06

27.15

27.2U

27.33

27.UO

27.1*6

27. SI

27.51*

27.57

27.57

27.57

27.51*

27.50

27.M3

27.35

27.21*

27.11

26.91*

26.76

20.5U

26.29

26.01

25.70

25.37

25.00

21*. 03

21*. 25

23.88

23.58

23.38

7.3332mol/kgH30 '

s:a __ a_ ..

V L

30.00 wt percent

SL AS

) (J mol K ) (J mol ) (cm mol ) (J mol K 

-23

-21*

-21*

-21*

-2U

-21*

-21*

-25

-25

-25

-25

-26

-26

-26

-26

-26

-25

-25

-21*

-23

-22

-21

-10

-16

-13

-9

-5

0

7

( 15

( 25

( 37

( 51

( 69

.H21

.020

.156

.326

.526

.71*8

.988

.237

.1*85

.721*

.91*0

.121

.251

.311

.283

.11*2

.861

.1*10

.751*

.850

.651

.101

.133

.671

.871*

.298

.268

.019

.101*) ( .

. U 4 3 ) (

.089) (

.059) (

.1*17) (

1*750.

1*680.

1*592.

1*1*87.

1*367.

1*231* .

U092!

391*3.

3791.

361*2.

3502.

3376.

3273.

3202.

3175.

3202.

3300.

3U85.

3778.

1(202.

1*785.

5560.

6566.

781*9.

91*65.

111*80.

13975.

17050.

20821*.

25i*i»7. )

31107.)

380UO.)

i*r,5i*6. )

57017. )

20.00

20.07

20.15

20.23

20.30

20.38

20.U6

20.51*

20.63

20.71

20.79

20.87

20.96

21.01*

21.' 13

21.21

21.30

21.38

21.1*7

21.55

21.63

21.72

21.80

21.88

21.96

22.0U

22.11

22.19

22. 2G

22.33

22.39

22. U6

22.52

22.58

28.273

29.008

29.730

30.1*1*0

31.1i*0

31.831

32.512

33.186

33.853

31*. 515

35.171*

35.831

36.U88

37.1U8

37.812

38.U8U

39.168

39.865

1*0.582

1*1.322

1*2.092

U2.898

U3.7U7

1*1*. 6U8

1*5.611*

1*6.655

1*7.788

1*9.030

50.1*06

( 51.91*2)

( 53.673)

( 55.6U2)

( 57.901.)

( 60.531)

96.31*6

9U. 868

93.U20

92.001

90.610

89.21*1*

. 87.902

86.582

85.281

83.997

82.729

81.U73

80.227

78.989

77.751*

76.520

75.282

7fc. 036

72.778

71.502

70.201

68.869

67.1*98

66.077

6U. 595

63.039

61.391*

59.639

57.753

( 55.705

( 53.U6

( 50.980

( U8.20

( 1*5.06

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

t

(°C)

170.

175.

180.

185.

190.

1'JS.

200.

205.

210.

215.

220.

225.

230.

235.

2UO.

2U5.

250.

255.

260.

2G5.

270.

275.

280.

285.

290.

295.

.300.

305.

310.

315.

320.

325.

22. NaCl concentration:

P

(bars)

5.7U8

6.512

7.350

8.227

0.209

10.280

11.1*1*6

12.713

11*. 087

15.573

17.178

18.908

20.770 .

22.769

21*. 913

27.209

20.662

32.282

35.071*

38.01*6

U1.205 .

1*1*. 560

1*8.119

51.889

55.878

60.096

6U.55U

( 69.250)

( 71*. 206)

( 79.U26)

( 81*. 920)

( 90.699)

dL

(g cm" )

(1.132)

(1.128)

(1.123)

(1.119)

(1.115)

(1.110)

(1.106)

(1.101)

(1.097)

(1.093)

(1.088)

(1.081*)

(1.080)

(1.075)

(1.071)

(1.067)

(1.063)

(1.058)

(1.051*)

(1.050)

(1.0U6)

(1.01*3)

(1.039)

(1.035)

(1.032)

(1.028)

(1.025)

(1.022)

(1.019)

(1.016)

(1.013)

(1.011)

V L

7.5000mol/kg H O '

**

a

(cm mol ) (J mol K ) (J mol" )

( 27.05M

( 27.17M

( 27.29H

( 27.UOM

( 27.50M

( 27.59M

( 27.68M

( 27.76M

( 27.E2H

( 27.87M

( 2 7 . 9 1 ) (

( 27.9UM

( 27.95M

( 27.95M

( 27.93H

( 27.88M

( 27.82H

( 27.7UH

( 27.6i*)(

( 27.51M

( 27.35H

( 27.17M

( 26.96M

( 20.72M

( 26.1*6)(

( 26.18)(

( 2S.88M

( 25.56M

( 25.25.H

( 2i*.98)(

( 2!*.76)(

( 2i*.68)(

-23.839) (

-21*. 006) (

-2i». 202) (

-21*. 1*21) (

-21*. 658) (

-21*. 901.) (

-25.151) (

-25.387) (

-25.601) (

-25.780) (

-25.908) (

-25.966) (

-25.935) (

-25.792) (

-25.508) (

-25.051*) (

-21*. 391*) (

-23.1*85) (

-22.281) (

-20.723) (

-18.71*7) (

-16.275) (

-13.213) (

-9.1.51) (

-U.856) (

0.733) (

7.511) (

15.721) (

25.661) (

37.708) (

52. 3U2) (

70.180) (

U9I.9. )

l»8l»fi.)

1*727.)

1.596. )

I.U55. )

1.307. )

1.157.)

U009. )

3860.)

371. i».)

361*2.)

3572.)

35U6. )

3571*.)

3671*.)

3861. )

1*155. )

1.582. )

5168.)

591.6.)

6957. )

82U5.)

9868.)

11891.)

1U397.)

17U85.)

21275.)

25918. )

31602.)

38565.)

1*7109. )

57629.)

V L

30.47 wt percent

SL

as

(cm mol ) (J mol" 

(20.17)

(20.2U)

(20.32)

(20.1.0)

(20.U8)

(20.56)

(20.61*)

(20.73)

(20.81)

(20.89)

(20.98)

(21.06)

(21.11*)

(21.23)

(21.31)

(21.UO)

(21.1*8)

(21.57)

(21.65)

(21.73)

(21.81)

(21.89)

(21.97)

(22.05)

(22.12)

(22.20)

(22.27)

(22.33)

(22. UO)

(22.1*6)

(22.52)

(22.59)

( 29.561)

( 30.2C9)

( 30.967)

( 31.G55)

( 32.333)

( 33.00U)

( 33.669)

( 31*. 328)

( 3l*.98i»)

( 35.630)

( 36.20U)

( 36.951)

( 37.613)

( 38.281*)

( 38.966)

( 39.662)

( 1*0.379)

( 1*1.119)

( 1*1.890)

( 1*2.697)

( 1*3.51*9)

( Ul*. 1*56)

( U5.U27)

( 1*6.1*76)

( 1*7.619)

( i*8.87l»)

( 50.266)

( 51.822)

( 53.578)

( 55.578)

( 57.878)

( 60.551)

( 93.6

( 92.2

( 90.8

( 89.5

( 88.1

( 86.81

( 85.51

( 8U. 2

( 82.9

( 81.71

( 80.5

( 79.2

( 78.0

( 76.8

( 75.56

( 71*. 3

( 73.0

( 71.7

( 70.U

( 69.1

( 67.7

( 66.3

( 6U. 8

( 63.3

( 61.6U

( 59.8

( 57.9

( 55.9

( 53.6

( 51.1

( 1.8. 3

( 1.5.1

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

t

(°C)

200.

205.

210.

215.

220.

225.

230.

235.

21*0.

21*5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

23. NaCl concentration:

P

(bare)

11.178

12.U21

13.769

15.229

16.806

18.506

20.337

22.30U

21*. 1*13

26.673

29.090

31.670

3U. 1*21

37.351

U0.i*67

U3.777

U7.289

51.010

51*. 91*9

59.111*

63.515

( 68.160)

( 73.058)

( 76.219)

( 83.653)

( 89.369)

8 .0000 mol/kg HaO '

dL V L <£ ' HaL

(g cm" )

(1.116)

(1.112)

(1.107)

(1.103)

(1.099)

(1.09U)

(1.090)

(1.086)

(1.081)

(1.077)

(1.073)

(1.069)

(1.065)

(1.061)

(1.057)

(1.053)

(1.0U9")

(1.0U6)

(1.0U2)

(1.039)

(1.036)

(1.033)

(1.030)

(1.027)

(1.025)

(1.022)

(cm mol ) (J mol

( 28

( 28

( 28

( 28

( 28

( 29

( 29

( 29

( 29

( 29

( 2'J

( 29

( 29

( 29

( 29

( 29

( 28

( 28

( 28

( 28

( 28

( 28

( 28

( 28

( 28

( 28

.SIM

.63)(

. 71* ) (

.SUM

.93M

.01 )(

.08M

. 1U ) (

. 18 )(

.21M

.22)(

. 21) (

. 19) (

. 15) (

.10X

.02)(

.93M

.82M

.69M

.56M

.U3M

. 31 ) (

. 21 ) (

. 18 ) (

.25M

.50M

-2U

-2U

-21.

-21.

-2U

-2U

-21.

-21.

-21.

-21.

-23

-22

-21

-19

-17

-15

-12

-8

-3

1

8

17

27

39

5U

72

^K"1 ) (J mol" 1 )

.112) (

.350) (

.566) (

.7U6) (

.876) (

.937) (

.009) (

.767) (

.1.85) (

.031) (

.369) (

.1.57) (

.21.6) (

.680) (

.690) (

.109) (

.112) (

.318) (

.681) (

.961) (

.806) v

.101) (

.11*8) (

.331) (

.137) (

.191.) (

52U3.)

5091.. )

1*953.)

U827. )

U72U. )

1.653.)

1.621.. )

1.652. )

1*751.)

1*937. )

5233.)

5661.)

6250. )

7033.)

8051.)

931*0. )

10985. )

13027.)

15557. )

18671*. )

22503.)

27196.)

329U3. )

39985. )

1*8632. )

59283. )

V L

(cm mol" i

(20.70)

- (20.79)

(20.87)

(20.95)

(21.01*)

(21.12)

(21.20)

(21.29)

(21.37)

(21.1.5)

(21.51*)

(21.62)

(21.70)

(21.78)

(21.86)

(21.91.)

(22.02)

(22.03)

(22.17)

(22.21.)

(22.31)

(22.37)

(22.1.3)

(22.1.9)

(22.50)

(22.62)

31. 86 wt percen

SL as

) (Jmor

( 33

( 33

( 31.

( 35

( 35

( 36

( 37

( 37

( 38

( 39

( 39

( (.0

( Ul

( U2

( 1.2

( 1.3

( kk

( 45

( 1.7

( U8

( (.9

( 51

( 53

( 55

( 57

( 60

.108)

.759)

.1.06)

.052)

.699)

.31.0)

.005)

.669)

.31.6)

.039)

.753)

. U.9 It )

J267)

.079)

.91.0)

.858)

. 8U6)

.918)

.090)

.381.)

.822)

.1*38)

.267)

.358)

.771)

.581*)

( 86

( 85

( 83

( 82

( 81

( 80

( 78

( 77

( 76

( 75

( 73

( 72

( 71

( 70

( 68

( 67

( 65

( 6U

( 62

( 60

( 58

( 56

( 5U

( 51

(. US

( 1*5

NOTE. Data contained in parentheses were calculated by extrapolation of the functions beyon
B64 PRELIMINARY STEAM TABLES FOR NaCl SOLUTIONS

O OOOlAlAO r»»K>CniAf-tlO«~*lAOOfH C-INtfH

CT» f1*. IA H> O

^H O 01 < O oo r- i

6 S O O O O OOOOCOOOOO O O O O O O
Table

t

25. NaCl concentration:

P

(°C) (bars)

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

500.

505.

510.

515.

520.

525.

27

30

33

35

38

U2

U5

U9

53

57

61

( 60

( 70

( 75

( 81

( 86

.925

.U31

.105

.955

.989

.215

.639

.271

.119

.191

.U97

.OUU)

.8U2)

.902)

.233)

.8UU)

9.0000 mol/kg H30 '

a a a

(g cm'3)

(1.091)

(1.087)

(1.083)

(1.079)

(1.075)

(1.071)

(1.068)

(1.06U)

(1.061)

(1.057)

(1.05U)

(1.051)

(1.0U8)

(1.0U5)

(1.0U2)

(1.059)

(cm mol ) (J mol K ) (J mol" )

( 51

( 32

( 32

( 32

( 32

( 32

( 52

( 32

( 32

( 33

( 33

( 35

( 33

( 3U

( 5U

( 55

.88)(

.05)(

. 17 ) (

.30)(

.U3)(

,55)(

.68)(

.81H

.95)(

.!!)(

,30)(

,5U)(

.86)(

.50)(

.91 )(

.79)(

-21.570) (

-20.698) (

-19.52U) (

-17.989) (

-16.02U) (

-15.550) (

-10.U70) (

-6.669) (

-2.009) (

3.676) (

10.590) (

18.985) (

29.17U) (

U1.550) (

56.615) (

75.021) (

715U.)

7561. )

8131. )

8897.)

9901. )

11190. )

12823. )

1U860. )

17U11.)

20553.)

2UU22.)

29173.)

55003.)

U2160. )

50962. )

61823. )

VL

(cm mol

(21.68)

(21.76)

(21. 8U)

(21.92)

(22.00)

(22.08)

(22.16)

(22.25)

(22.50)

(22.57)

(22. UU)

(22.50)

(22.57)

(22.65)

(22.70)

(22.77)

34.47 wt perce

SL 

) (J mo

( 58.

( 59.

( 59.

( UO.

( Ul.

( U2.

( U5.

( UU.

( us.

( U7.

( US.

( 50.

( 52.

( 5U.

( 57.

( 60.

U15)

150)

923)

7UO)

612)

550)

567)

679)

905)

267)

795)

522)

U92)

758)

390)

U77)

( 75

( 7U

( 73

( 7

( 70

( 69

( 67

( 65

( 6U

( 62

( 60

( 57

( 55

( 52

( U

( U

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

t

26. NaCl concentration:

P

(°C) (bare)

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

32

35

38

1*1

1*5

1*3

52

56

61

( 65

( 70

( 75

( 80

( 86

.813

.01*6

.663

.870

.277

.891

.720

.772

.058

.586)

.365)

.1*01*)

.715)

.306)

dL '

-3

(g cm )

(1.087)

(1.083)

(1.079)

(1.075)

(1.071)

(1.068)

(1.061*)

(1.061)

(1.058)

(1.051*)

(1.051)

(1.01*8)

(1.01*5)

(1.0U2)

j»

9.2135 mol/kg HaO '

§*-.

a

(cm mol ) (J mol K ) (J mol" )

( 32

( 32

( 33

( 33

( 33

( 33

( 33

( 31*

' ( 31*

( 31*

( 35

( 35

( 36

' ( 37

.78)(

.95)(

. 11) (

,28)(

. 1*5 ) (

.63)(

.83)(

.05H

.31)(

! 6 2 ) (

.03)(

.56)(

.28)(

.29)(

-10.217) (

-17.697) (

-15.71*6) (

-13.285) (

-10.215) (

-6.U22) (

-1.768) (

3.915) (

10.833) (

19.238) (

29.1*1*5) (

U1.8U9) (

56.957) (

75.1*23) (

81*85.)

921*3.)

10239.)

11522.)

131U8.)

15189.)

17729.)

20871. )

21*71*1. )

29U99. )

35339. )

1*2513.)

5131*0.)

62237. )

V L

(cm mol

(21.88)

(21.90)

(22.0U)

(22.12)

(22.19)

(22.27)

(22. 3U)

(22.1*1)

(22.1*8)

(22.51*)

(22.61)

(22.67)

(22.71*)

(22.81)

35.00 wt perce

SL 

) (Jmo

( 39.

( 1*0.

( 111.

( 1*2.

( 1*3.

( 1*1*.

( 1*5.

( U7.

( US.

( 50.

( 52.

( 51*.

( 57.

( 60.

616)

1*33)

307)

2U8)

270)

389)

621*)

001)

5U6)

295)

29i»)

596)

27<»)

1*18)

( 7

( 7

( 7

( 6

( 6

( 6

( 61

( 6

( 6

( 5

( 5

( 5

( 1

( 1

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

t

27. NaCl concentration:

P

(°C) (bars)

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

525.

38

1*1

'.I*

US

52

56

60

( 6U

( 69

( 7U

( 80

( 85

.213

.396

.778

.366

.170

.197

.1*56

.957)

.710)

.722)

.006)

.570)

9.5000 mol /kg HaO '

dL VaL S£ HaL

(g cm" )

(1.083)

(1.079)

(1.075)

(1.072)

(1.068)

(1.065)

(1.062)

(i.osn)

(1.056)

(1.052)

(1.01*9)

(l.OUG)

(cm3 mol~1)(Jmol"i K"1) (J mol" 1 )

( 31*

( 3U

( 31*

( 31*

( 31*

( 35

( 35

( 36

( 36

( 37

( 38

( 39

.02)(

.25)(

. 1*8 ) (

.72)(

.99)(

. 2-9 ) {

.6U)(

.05)(

.57H

.23)(

. 10 ) (

.28)(

-15.U16) (

-12.977) (

-9.927) (

-6.150) (

-1.509) (

I*. 167) (

11.081*) (

19.1*37) (

29.721) (

1*2.156) (.

57.313) (

75.852) (

10662.)

11933.)

135U9.)

15580.)

18113.)

21251.)

25121.)

29883.)

3573U. )

1*2926.)

51783.)

62721*. )

VL

(cm mol"

(22.09)

(22.17)

(22.2U)

(22.32)

(22.39)

(22.1*6)

(22.53)

(22.00)

(22.67)

(22.73)

(22.80)

(22.88)

35. 70 wt percen

SL

)

( 1*0

( 1*1

( U2

( 1*3

( U5

( U6

( 1*8

( 1*9

( 52

( 5U

( 57

( 60

(.

.883)

.827)

.855)

.983)

.231)

.625)

.193)

.972)

.008)

.358)

.095)

.315)

AS

Fmor

( 71.

( 69.

( 68.

( 66.

( 65.

( 63.

( 61.

( 58.

( 56.

( 53.

( 50.

( 1*6.

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

Table 28. NaCl concentration: 10.0000 mol/kg H O 36.89 wt percent 

t

(C)

290.

295.

300.

305.

310.

315.

320.

325.

P

(bars)

51.156

55.136

59.3U8

( 63.801)

( 68.505)

( 73.U69)

( 78.701.)

( 8U.220)

dL

(g cm" )

(1.075)

(1.072)

(1.068)

(1.065)

(1.062)

(1.058)

(1.055)

(1.051)

vsL saL

(cm mol ) (J mol K )

( 36.98M

( 37.l)2)(

( 37.91M

( 38.50M

( 39.21H

( UO. 09M

( ill .21) (

( U2.G9M

-1.230)

U.U18)

11.317)

19.725)

29.963)

1*2 .1.35 )

57.658)

76.305)

HL

(J mol" 1 )

( 18669.)

( 21791.)

( 25651.)

( 301*11.)

( 36270.)

( U31.85.)

( 52382.)

( 63388.)

V L

3 -1

(cm mol )

(22.50) (

(22.57) (

(22.61.) (

(22.71) (

(22.78) (

(22.85) (

(22.93) (

(23.02) (

SL

(J

i»i*.i*9l»)

1*5.915)

1*7.520)

1*9.31*8)

51.1*1*7)

53.878)

56.717)

60.066)

AS

mol" 1 

( 66.0

( 61*. 1

( 62.0

( 59.6

( 57.0

( 5U. 1

( 50.7

( UG.9

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

w

 wt 

percent

27.1*72

27.596

27.725

27.859

27.998

28.1U3

28.293

28.1*1*8

28.608

28.77U

2^.91*5

29.122

29.301.

29.1*91

29.683

29.881

30.08U

30.292

30.505

30.721*

30.9U8

31.178

31.1*13

31.653

t

to

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

11*0.

11*5.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

P

(bars)

0.353

0.1*31

0.522

0.629

0.75U

0.897

1.063

1.253

1.1*70

1.716

1.991*

2.308

2.659

3.053

3.1*91

3.978

U.516

5.111

5.765

6.1*83

7.268

8.125

9.058

10.072

dL V L

. -33 -1

(g cm ) (cm mol )

1.177

1.175

1.173

1.171

1.168

1.166

1.163

1.161

1.158

1.156

1.153

1.151

1.11*8

l.liiS

1.11*3

1.11*0

1.137

(1.135) (

(1.132) (

(1.130) (

(1.127) (

(1.12U) (

(1.122) (

(1.119) (

23.98

21*. 10

21*. 21*

21*. 38

2U. 52

21*. 67 .

21*. 83

2U.98

25.15

25.31

25.U9

25.67

25.85

26.01*

26.23

26.U3

26.63

2B.8U)

27.06)

27.29)

27.52)

27.76)

28.01)

28.27)

saL H^

(J mol" 1 !?" 1 ) (J mol" 1 )

-38

-37

-36

-35

-31*

-33

-32

-25

-25

-25

-2U

-21*

-21*

-2U

-2U

-23

-23

(-23

(-23

(-23

(-23

(-23

(-23

(-21.

.068

.252

.1*08

.539

.6U6

.726

.779

.676

.31*6

.01*6

.777

.51*1

.339

.172

.038

.937

.869

.830) (

.818) (

.831) (

.863) (

.911) (

.967) (

.027) (

-1513.

-1178.

-826.

-U59.

-77.

322.

738.

3502.

3690.

38G9.

U039.

1*198.

U3U5.

1*1*80.

U603.

U711*.

1*812.

1*898. )

1*973. )

5037.)

5093.)

511*2.)

5187.)

5229. )

V L SL A

/ 3 .- 1 

(cm mol

18.89

18.95

19.01

19.06

19.13

19.19

19.25

19.32

19.39

19.1*6

19.53

19.61

19.68

19.76

19.8U

19.92

20.00

( 20.08)

( 20.17)

( 20.25)

( 20.31*)

( 20.1*3)

( 20.52)

( 20.61)

)

11*. 292

15.259

16.215

17.161

18.096

19.022

19.931*

21.503

22.321*

23.126

23.911

2U. 677

25.U26

26.157

26.870

27.566

28.2UI*

( 28.906)

( 29.550)

( 30.178)

( 30.790)

( 31.387)

( 31.968)

( 32.536)

(J mol

125

123

121

118

116

115

113

110

108

107

105

103

102

100

99

97

96

( 95

( 93

( 92

( 91

( 89

( 88

( 87
31.898

32. U9

32.1*05

32.666

32.932

33.201*

33.1*81

33,761*

3U.052

31*. 3i»5

31*. 01*3

3U.9U7

35.256

35.570

35.889

36.211*

30.5UI*

30.880

37.221

37.567

37.918

38.275

38.637

33.00U

39.376

39.751*

200.

205.

210.

215.

220.

225,

230.

235.

2<*0.

21*5.

250.

255.

260.

2C5.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

11.170

12.357

13.639

15.019

16.502

18.093

19.797

21.619

23.56U

25.636

27.81*1

30.183

32.668

35.301

38.086

1*1.029

<»l».133

1*7.1*01*

50.8U5

51*. U61

58.253

( 62.226)

( 66.379)

( 70.713)

( 75.227)

( 79.918)

(1.116) (

(l.lli*) (

(1.111) (

(1.109) (

(1.106) (

(1.101*) (

(1.102) (

(1.099) (

(1.097) (

(1.095) (

(1.092) (

(1.090) (

(1.088) (

(1.086) (

(1.081*) (

(1.082) (

(1.081) (

(1.079) (

(1.077) (

(1.075) (

(1.073) (

(1.071) (

(1.069) (

(1.066) (

(1.063) (

(1.058) (

28.53)

28.81)

29.10)

29.1*1)

29.73)

30.06)

30.1*2)

30.79)

31.19)

31.61)

32.06)

32.55)

33.07)

33.65)

31*. 27)

31*. 96)

35.72)

36.58)

37.51*)

38.65)

39.92)

1*1. UO)

1*3.10)

1*5.27)

i*7. 8C)

51.10)

(-21.

(-2U

(-21*

(-21*

(-21.

(-23

(-23

(-23

(-22

(-22

(-21

(-20

(-19

(-17

(-15

(-12

( -9

( -5

( -1

( I*

( 11

( 19

( 29

( 1.2

( 57

( 75

.082) (

.122) (

.138) (

.118) (

.01.7) (

.909) (

.686) (

.357) (

.896) (

.27U) (

.1*58) (

.1*07) (

.075) (

.1*06) (

.331.) (

.782) (

.G5U) (

.836) (

.191) (

.1*53) (

.301*) (

.626) (

.71*7) (

.090) (

.200) (

.797) (

5271*.)

5325.)

5386. )

51*65.)

5568.)

5703. )

5880.)

6111.)

6U10. )

6792.)

7277.)

788S.)

8651. )

9600. )

10772.)

1221G.)

13987. )

16151*.)

18803.)

22037.)

25987.)

30815.)

36728.)

1*3991.)

5231* P..)

6U056. )

( 20.70)

( 20.80)

( 20.89)

( 20.99)

( 21.09)

( 21.19)

( 21.28)

( 21.38)

( 21.1*9)

( 21.59)

( 21.69)

( 21.79)

( 21.89)

( 22.00)

( 22.10)

( 22.21)

( 22.31)

( 22.1*2)

( 22.53)

( 22.6U)

( 22.75)

( 22.87)

( 23.00)

( 23.13)

( 23.29)

( 23.1*8)

( 33.091)

( 33.631.)

( 3U.167)

( 31.. 691)

( 35.207)

(35.719)

( 36.228)

( 36.738)

( 37.251.)

( 37.778)

( 38.316)

( 38.87C)

( 39.i.C3)

( 1.0.089)

( U0.703)

( U1.500)

( U2.315)

( U3.230)

( 1*1*. 268)

( 1*5.1*61)

( 1*6.81*7)

( U8.U75)

( 50.1*07)

( 52.722)

( 55.52L)

( 58.950)

( 86.3

( 85.2

( 8U. 1

( 83.0

( 82.03

( 80.9

( 79.9

( 78.9

( 77.9

( 76.9

( 75.90

( 7U. 8

( 73.8

( 72.7

( 71. G

( 70.1

( 09.1

( 67.8

( 06.3

( 6U. 7

( 62.9

( 60.9

( 58.5

( 55.8

( 52.7

( 1*8.9

NOTE. Data contained in parentheses were calculated by extrapolation of the functions beyond 
Table 30. Halite - saturated NaCl solutions, concentrations in mol NaCl/kg H O (molal)

X

(molal)

0.1*81

6.522

6.56U

6.608

6.651*

6.701

6.751

6.803

6.857

6.913

6.970

7.03.0

7.092

7.157

7.223

7.292

7.3G2

7.U36

7.511

7.589

7.669

7.752

7.837

7.92U

t

fa

80.

85.

90.

95.

100.

105.

110.

115.

120.

125.

130.

135.

11*0.

1U5.

150.

155.

160.

165.

170.

175.

180.

185.

190.

195.

P

(bars)

0.353

0.1*31

0.522

0.629

0.751*

0.897

1.063

1.253

1.1*70

1.716

1.991*

2.308

2.659

3.053

3.U91

3.978

1*.516

5.111

5.765

6.1*83

7.268

8.125

9.058

10.072

dL v3L

(g cm" ) (cm mol )

1.177

1.175

1.173

1.171

1.168

1.166

1.163

1.161

1.158

1.156

1.153

1.151

1.11*8

1.1U5

1.1U3

1.1UO

1.137

(1.135) (

(1.132) (

(1.130) (

(1.127) (

(1.121*) (

(1.122) (

(1.119) (

23.98

21*. 10

21*. 2fc

21*. 38

21*. 52

21*. 67

2U. 83

21*. 98

25. IS

25.31

25.1*9

25.07

25.85

26.01*

26.23

26.1*3

26.63

26.8U)

27.06)

27.29)

27.52)

27.76)

28.01)

28.27)

^

i (J mol" 1!?" 1 )

-38.008

-37.252

-30.1*08

-35.539

-31*. 61*6

-33.726

-32.779

-25.676

-25.31*6

-25.01*6

-21*. 777

-2I*.5I»1

-21*. 339

-21*. 172

-21*. 038

-23.937

-23.8G9

(-23.830) (

(-23.818) (

(T23.831) (

(-23.863) (

(-23.911) (

(-23.967) (

(-21*. 027) (

_ **

(3 mol" 1 )

-1513.

-1178.

-826.

-U59.

-77.

322.

738.

3502.

3690.

3869.

1*039.

1*198.

U3U5.

1*1*80.

1*603.

U71U.

1*812.

1*898. )

1*973.)

5037.)

5003.)

511*2.)

5187.)

5229.)

V L SL

(cm mol" )

18.89

18.35

19.01

19.00

19.13

19.19

19.25

19.32

19.39

19.U6

19.53

19.61

19.08

19.70

19.81*

19.92

20.00

( 20.08)

( 20.17)

( 20.25)

( 20. 3U)

( 20.1*3)

( 20.52)

( 20.61)

11*. 292

15.259

16.215

17.101

18.090

19.022

19.93U

21.503

22.321*

23.120

23.911

21*. 677

25.U26

20.157

20.870

27.560

28.21*1*

( 28.906)

( 23.550)

( 30.178)

( 30.790)

( 31.387)

( 31.968)

( 32.536)

AS

(J mol^K

125.339

123.168

121.053

118.991

116.079

115.015

113.100

110.562

108.806

107.099

105.1*38

103.821*

102.25U

100.727

99.21*1

97.796

96.390

( 95.021

( 93.089

( 92.332

( 91.128

( 89.896

( 88.695

( 87.523
8.01U

8.107

8.203

8.301

8.1*02

8.506

8.613

8.722

8.835

8.951

9.070

9.192

9.317

9.1*1(6

9.579

9.715

9.85U

9.997

10.1U5

10.296

10.1*51

10.610

10.771*

10.91*1

11.111*

11.291

200.

205.

210.

215.

220.

225.

230.

235.

21*0.

2U5.

250.

255.

260.

265.

270.

275.

280.

285.

290.

295.

300.

305.

310.

315.

320.

325.

11.170

12.357

13.639

15.019

16.502

18.093

19.797

21.619

23.561*

25.636

27.8U1

30.183

32.668

35.301

38.086

1*1.029

1*1*. 133

l»7.i*OU

50.81*5

5U. 1*61

58.253

( 62.226)

( 66.379)

( 70.713)

( 75.227)

( 79.918)

(1.116) (

(1.11U) (

(1.111) (

.(1.109) (

(1.106) (

(1.10K) (

(1.102) (

(1.099) (

(1.097) (

(1.095) (

(1.092) (

(1.090) (

(1.088) (

(1.086) (

(1.08U) (

(1.082) (

(1.081) (

(1.079) (

(1.077) (

(1.075) (

(1.073) (

(1.071) (

(1.069) (

(1.066) (

(1.063) (

(1.058) (

28.53)

28.81)

29.10)

29.1*1)

29.73)

30.06)

30.1*2)

30.79)

31.19)

31.61)

32.06)

32.55)

33.07)

33.65)

3U. 27)

3U. 90)

35.72)

36.58)

37.51*)

'38.65)

39.92)

1*1.1*0)

1*3.16)

U5.27)

1*7.86)

51.10)

(-21*. 082) (

(-2U. 122) (

(-21*. 138) (

(-2U. 118) (

(-21*. 01*7) (

(-23.909) (

(-23.686) (

(-23.357) (

(-22.896) (

(-22.27U) (

(- 21.U58) (

(-20.U07) (

(-19.075) (

(-17.U06) (

(-15.331*) (

(-12.782) (

( -9.65U) (

( -5.836) (

( -1.191) (

( i*.i»53) (

( 11.301.) (

( 19.626) (

( 29.7U7) (

( U2.090) (

( 57.200) (

( 75.797) (

5271..)

5325.)

5386.)

5U65.)

5568. )

5703.)

5880. )

6111.)

f.l»10.)

6792.)

7277.)

7888. )

8651.)

9600. )

10772. )

12216.)

13987. )

1615U. )

18803.)

22037.)

25987.)

30815.)

30728.)

1*3991.)

529U8.)

61*056. )

( 20.70) (

( 20.80) (

( 20.89) (

( 20.99) (

( 21.09) '(

( 21.19) (

( 21.28) (

( 21.38) (

( 21.U9) (

( 21.59) (

( 21.69) (

( 21.79) (

( 21.89) (

( 22.00) (

( 22.10) (

( 22.21) (

( 22.31) (

( 22.1*2) (

( 22.53) (

( 22.6i») (

( 22.75) (

( 22.87) (

( 23.00) (

( 23.13) (

( 23.29) (

( 23.1*8) (

33.091)

33.631*)

31*. 167)

31*. 691)

35.207)

35.719)

36.228)

36.738)

37.251*)

37.778)

38.316)

38.876)

39.1*63)

(.0.089)

U0.763)

Ul. 500)

U2.315)

1*3.230)

1.1*. 268)

U5.U61)

1*6.81*7)

1*8.1*75)

50.1*07)

52.722)

55.52U)

58.950)

( 86.

( 85.

( 81*. 

( 83.

( 82.

( 80.

( 79.

( 78.

( 77.

( 76.

( 75.

( 7U. 

( 73.

( 72.

( 71.

( 70.

( 69.

( 67.

( 66.

( 61*. 

( 62.

{ 60.

( 58

( 55

( 52

( 1.8

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