154

P-PROPATH: Pure Substances and Mixtures with Fixed Composition

2.15 Water (IFC 1967 Formulation for Industrial Use-IPTS
1968)
Equations have been cited from 1980 SI JSME Steam Table [1] and reference[2].

2.15.1 Temperature Scale
International practical temperature scale 1968 (IPTS-1968)

2.15.2 The Names of Substance, Library File and Single Shot Program
Name of Substance:
Library File for UNIX:
Library File for DOS,Windows95/NT:
Single Shot Program for UNIX:
Single Shot Program for DOS,Windows95/NT:

Water, Light Water
libjh2o.a
JH2O.LIB
h2o-ssH2O–SS.EXE

2.15.3 Important Constants and Others
Molecular Formula:
Relative Molecular Mass:
Gas Constant:

H2 O
18.0153461.51 J/(kg·K)

Critical Constants:
Critical Pressure:
Critical Temperature:
Critical Speciﬁc Volume:

22.12×10 6Pa (221.2 bar)647.30 K (374.15 ◦C)
3.17×10 −3m3 /kg

Triple Point:
Pressure:
Temperature:

611.2 Pa (6.112×10 −3bar)
273.16 K (0.01◦C)

Reference State:
At the triple point, 0 J/(kg·K) and 0 J/kg are assigned to the speciﬁc entropy and the speciﬁc free internalenergy of saturated liquid, respectively.

2.15.4 Formula
Equation of State:
The function forms of g = g(P, T ) and f = f(v, T ). Here g=speciﬁc free enthalpy, f=speciﬁc free energy,
P =pressure, T =temperature and v=speciﬁc volume. The equations, which are divided into six subregions, havebeen cited from Section 3.1 in chapter 3 in reference [1].
Vapor Pressure:K-function given at 5 of section 3.1 in chapter 3 in reference [1] for vapor pressuure above 0◦ C, and equation(3) in chapter 6 in reference [2] for vapor pressure below 0◦ C. However, the coeﬃcient C6 = 0.9484024 × 10−12in the latter equation has been corrected to C6 = −0.9484024 × 10−12 .
Properties at Vapor-Liquid Equilibrium:
Derived functions given at 4.5 and 4.6 of 4 of section 3.1 in chapter 3.1 in reference [1] for speciﬁc volume,
speciﬁc enthalpy and speciﬁc entropy. The expressions for isobaric speciﬁc heat, which is divided into four
subregions, given at section 3.2 in chapter 3 in reference [1].
Transport Properties:

Water (IFC 1967 Formulation for Industrial Use-IPTS 1968)

155

Internationally recommended interpolation equations given at sections 3.3 and 3.4 in chapter 3 in reference [1]for dynamic viscosity and thermal conductivity, respectively.
The Other Properties:
Internationally recommended interpolation equations given at sections 3.5, 3.6 and 3.7 in chapter 3 in reference[1] for surface tension, static dielectric constant and ion products, respectively.

References[1] Japan Society of Mechanical Engineers, 1980 SI JSME Steam Tables, (1981).
[2] ASHRAE, 1985 Fundamentals Handbook, Chap.6, (1985), p.6.4.

156

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.15–1

No.
1

94
8A
8B
82

Name of
Function
AIPPT(P,T)

AJTPT(P,T)
AKPD(P)AKPDD(P)AKPT(P,T)

8C
8D
2AKTD(T)
AKTDD(T)
ALAPP(P)3

ALAPT(T)4

ALHP(P)

5

ALHT(T)

6

ALMPD(P)7

ALMPDD(P)8

ALMPT(P,T)

9

ALMTD(T)10

ALMTDD(T)11

AMUPD(P)12

AMUPDD(P)13

AMUPT(P,T)

14

AMUTD(T)

Water(IFC 1967−IPTS 1968) Function

Function and Argument(s)Range of Argument(s)AIPPT: Ion Product [(mol/kg)2 ]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦C]

611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]

AKPT: Isentropic Exponent [–]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦C]

611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]

ALAPP: Laplace Coeﬃcient [m]P∗: Pressure [Pa], [bar]
ALAPT: Laplace Coeﬃcient [m]T∗: Temperature [K], [◦C]
ALHP: Latent Heat of Vaporization [J/kg]
P∗: Pressure [Pa], [bar]ALHT: Latent Heat of Vaporization [J/kg]
T∗: Temperature [K], [◦C]
ALMPD: Thermal Conductivity of Saturated
Liquid [W/(m·K)]
P∗: Pressure [Pa], [bar]
ALMPDD: Thermal Conductivity of Saturated
Vapor [W/(m·K)]
T∗: Temperature [K], [◦C]
ALMPT: Thermal Conductivity [W/(m·K)]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦C]

611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]

ALMTD: Thermal Conductivity of Saturated
Liquid [W/(m·K)]
T∗: Temperature [K], [◦C]
ALMTDD: Thermal Conductivity of Saturated
Vapor [W/(m·K)]
T∗: Temperature [K], [◦C]
AMUPD: Coeﬃcient of Viscosity of Saturated
Liquid [Pa·s]
P∗: Pressure [Pa], [bar]
AMUPDD: Coeﬃcient of Viscosity of Saturated
Vapor [Pa·s]
P∗: Pressure [Pa], [bar]
AMUPT: Coeﬃcient of Viscosity [Pa·s]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦C]

AMUTD: Coeﬃcient of Viscosity of Saturated
Liquid [Pa·s]
T∗: Temperature [K], [◦C]

6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦ C]

6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦ C]

611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]

Water (IFC 1967 Formulation for Industrial Use-IPTS 1968)
Table II–2.15–1

No.
15

Name of
Function
AMUTDD(T)

92
90
91
93
16

BPPT(P,T)
BSPT(P,T)
BTPT(P,T)
BVPT(P,T)
CPPD(P)

17

CPPDD(P)18

CPPT(P,T)

19

CPTD(T)

20

CPTDD(T)21

CRP(‘A’)

7A
76
77
7B
78
2A
2B
22

CVPD(P)
CVPDD(P)
CVPT(P,T)
CVTD(T)
CVTDD(T)EPSPD(P)EPSPDD(P)EPSPT(P,T)

2C
2D
89

EPSTD(T)EPSTDD(T)FC(‘A’)

9A
96
95
9B
97
23

GAMPD(P)GAMPDD(P)GAMPT(P,T)
GAMTD(T)GAMTDD(T)HPD(P)

24

HPDD(P)

157

Water(IFC 1967−IPTS 1968) Function (cont’d)

Function and Argument(s)Range of Argument(s)AMUTDD: Coeﬃcient of Viscosity of Saturated
Vapor [Pa·s]
T∗: Temperature [K], [◦ C]

273.15≤T≤647.3 [K]0≤T≤374.15 [◦C]

CPPD: Isobaric Speciﬁc Heat of Saturated
Liquid [J/(kg·K)]
P∗: Pressure [Pa], [bar]
CPPDD: Isobaric Speciﬁc Heat of Saturated
Vapor [J/(kg·K)]
P∗: Pressure [Pa], [bar]CPPT: Isobaric Speciﬁc Heat [J/(kg·K)]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]CPTD: Isobaric Speciﬁc Heat of Saturated
Liquid [J/(kg·K)]
T∗: Temperature [K], [◦ C]
CPTDD: Isobaric Speciﬁc Heat of Saturated
Vapor [J/(kg·K)]
T∗: Temperature [K], [◦ C]
CRP: Critical Constants
H: ‘A’=‘H’: 2.1074×106 [J/kg] Speciﬁc EnthalpyP∗: ‘A’=‘P’: 22.12×106 [Pa], 221.2 [bar] Pressure
S: ‘A’=‘S’: 4.4429×103 [J/(kg·K)] Speciﬁc EntropyT∗: ‘A’=‘T’: 647.3 [K], 374.15 [◦ C] Temperature
V: ‘A’=‘V’: 3.17×10−3 [m3 /kg] Speciﬁc Volume611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦C]
one of ‘H’, ‘P’, ‘S’, ‘T’ and ‘V’EPSPT: Static Dielectric Constant [–]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]

FC: Fundamental Constants
M: ‘A’=‘M’: 18.0153 Relative Molecular Mass
R: ‘A’=‘R’: 461.51 [J/(kg·K)] Gas Constant

one of ‘M’ and ‘R’

HPD: Speciﬁc Enthalpy of Saturated Liquid [J/kg]
P∗: Pressure [Pa], [bar]HPDD: Speciﬁc Enthalpy of Saturated Vapor [J/kg]
P∗: Pressure [Pa], [bar]611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦C]

158

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.15–1

No.
71

25

Name of
Function
HPS(P,S)

HPT(P,T)

26

HPX(P,X)

27

HTD(T)28

HTDD(T)

29

HTX(T,X)

84

IDENTF(‘A’)

66
68
85

PLDT(T)
PMLT(T)
PRPD(P)86

PRPDD(P)81

PRPT(P,T)

87

PRTD(T)

88

PRTDD(T)99
30

PSBT(T)
PST(T)72
73
31

PSTD(T)
PSTDD(T)SIGP(P)

32

SIGT(T)

33

SPD(P)34

SPDD(P)

Water(IFC 1967−IPTS 1968) Function (cont’d)

Function and Argument(s)HPS: Speciﬁc Enthalpy [J/kg]
P∗: Pressure [Pa], [bar]S: Speciﬁc Entropy [J/(kg·K)]

HPT: Speciﬁc Enthalpy [J/kg]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦C]

HPX: Speciﬁc Enthalpy of Mixture [J/kg]
P∗: Pressure [Pa], [bar]
X: Dryness Fraction [–]HTD: Speciﬁc Enthalpy of Saturated Liquid [J/kg]
T∗: Temperature [K], [◦C]HTDD: Speciﬁc Enthalpy of Saturated Vapor [J/kg]
T∗: Temperature [K], [◦C]
HTX: Speciﬁc Enthalpy of Mixture [J/kg]
T∗: Temperature [K], [◦C]
X: Dryness Fraction [–]IDENTF: CHARACTER TYPE FUNCTION
for Package Identiﬁcation (Length 20)
C: ‘A’=‘C’: ‘H2O’ Molecular Formula
S: ‘A’=‘S’: ‘WATER(IFC1967−IPTS1968)’
Name of Substance
V: ‘A’=‘V’: ‘10.1’ Version Number

PRPD: Prandtl Number of Saturated Liquid [–]P∗: Pressure [Pa], [bar]
PRPDD: Prandtl Number of Saturated Vapor [–]P∗: Pressure [Pa], [bar]
PRPT: Prandtl Number [–]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦C]

Range of Argument(s)611.2≤P≤100×106 [Pa]SPT(P,273.16K)≤S≤
SPT(P,1073.15K) [J/(kg·K)]
6.112×10−3 ≤P≤1000 [bar]SPT(P,0.01◦ C)≤S≤
SPT(P,800◦ C) [J/(kg·K)]
611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦ C]
611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]0≤X≤1.0 [–]273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
0≤X≤1.0 [–]one of ‘C’, ‘S’ and ‘V’

611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]

PRTD: Prandtl Number of Saturated Liquid [–]T∗: Temperature [K], [◦C]
PRTDD: Prandtl Number of Saturated Vapor [–]T∗: Temperature [K], [◦C]

6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]

PST∗: Saturation Pressure [Pa], [bar]T∗: Temperature [K], [◦C]

173.15≤T≤647.3 [K]−100≤T≤374.15 [◦ C]

SIGP: Surface Tension [N/m]P∗: Pressure [Pa], [bar]
SIGT: Surface Tension [N/m]T∗: Temperature [K], [◦C]
SPD: Speciﬁc Entropy of Saturated Liquid[J/(kg·K)]
P∗: Pressure [Pa], [bar]SPDD: Speciﬁc Entropy of Saturated Vapor[J/(kg·K)]
P∗: Pressure [Pa], [bar]611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]Water (IFC 1967 Formulation for Industrial Use-IPTS 1968)
Table II–2.15–1

No.
35

Name of
Function
SPT(P,T)36

SPX(P,X)

37

STD(T)38

STDD(T)

39

STX(T,X)

67
69
64

TLDP(P)
TMLP(P)
TPH(P,H)

159

Water(IFC 1967−IPTS 1968) Function (cont’d)

Function and Argument(s)SPT: Speciﬁc Entropy [J/(kg·K)]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

SPX: Speciﬁc Entropy of Mixture [J/(kg·K)]
P∗: Pressure [Pa], [bar]
X: Dryness Fraction [–]STD: Speciﬁc Entropy of Saturated Liquid[J/(kg·K)]
T∗: Temperature [K], [◦ C]
STDD: Speciﬁc Entropy of Saturated Vapor[J/(kg·K)]
T∗: Temperature [K], [◦ C]
STX: Speciﬁc Entropy of Mixture [J/(kg·K)]
T∗: Temperature [K], [◦ C]
X: Dryness Fraction [–]TPH∗: Temperature [K], [◦ C]
P∗: Pressure [Pa], [bar]H: Speciﬁc Enthalpy [J/kg]

Range of Argument(s)611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦ C]
611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]0≤X≤1.0 [–]273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
0≤X≤1.0 [–]611.2≤P≤100×106 [Pa]
HPT(P,273.16K)≤H≤
HPT(P,1073.15K) [J/kg]
6.112×10−3 ≤P≤1000 [bar]HPT(P,0.01◦C)≤H≤
HPT(P,800◦ C) [J/kg]

6H
65

TPH2(P,H)
TPS(P,S)TPS∗: Temperature [K], [◦ C]
P∗: Pressure [Pa], [bar]S: Speciﬁc Entropy [J/(kg·K)]

611.2≤P≤100×106 [Pa]SPT(P,273.16K)≤S≤
SPT(P,1073.15K) [J/(kg·K)]
6.112×10−3 ≤P≤1000 [bar]SPT(P,0.01◦ C)≤S≤
SPT(P,800◦ C) [J/(kg·K)]

6S
98

TPS2(P,S)TPSEUP(P)70

TPV(P,V)41

TRPL(‘A’)

100
40

TSBP(P)
TSP(P)

74
75
42

TSPD(P)TSPDD(P)UPD(P)43

UPDD(P)TPSEUP: Pseudo Boiling Point [K], [◦ C]
P∗: Pressure [Pa], [bar]TPV∗: Temperature [K], [◦ C]
P∗: Pressure [Pa], [bar]V: Speciﬁc Volume [m3 /kg]

TRPL∗: Properties at Triple PointP∗: ‘A’=‘P’: 611.20 [Pa], 6.112×10−3 [bar]PressureT∗: ‘A’=‘T’: 273.16 [K], 0.01 [◦C] Temperature

22.12×106 <P≤100×106 [Pa]221.2<P≤1000 [bar]611.2≤P≤100×106 [Pa]VPT(P,273.16K)≤V≤
VPT(P,1073.15K) [m3 /kg]
6.112×10−3 ≤P≤1000 [bar]VPT(P,0.01◦C)≤V≤
VPT(P,800◦ C) [m3 /kg]
one of ‘P’ and ‘T’

TSP∗: Saturation Temperature [K], [◦ C]
P∗: Pressure [Pa], [bar]1.40749×10−3 ≤P≤22.12×106 [Pa]14.0749×10−9 ≤P≤221.2 [bar]UPD: Speciﬁc Internal Energy of Saturated
Liquid [J/kg]
P∗: Pressure [Pa], [bar]UPDD: Speciﬁc Internal Energy of Saturated
Vapor [J/kg]
P∗: Pressure [Pa], [bar]611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]160

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.15–1

No.
79

44

Name of
Function
UPS(P,S)

UPT(P,T)45

UPX(P,X)

46

UTD(T)

47

UTDD(T)

48

UTX(T,X)

49

VPD(P)50

VPDD(P)80

VPS(P,S)

51

VPT(P,T)52

VPX(P,X)

53

VTD(T)54

VTDD(T)

55

VTX(T,X)

8E
8F
83

WPD(P)WPDD(P)
WPT(P,T)

Water(IFC 1967−IPTS 1968) Function (cont’d)

Function and Argument(s)UPS: Speciﬁc Internal Energy [J/kg]
P∗: Pressure [Pa], [bar]S: Speciﬁc Entropy [J/(kg·K)]

UPT: Speciﬁc Internal Energy [J/kg]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦C]

UPX: Speciﬁc Internal Energy of Mixture [J/kg]
P∗: Pressure [Pa], [bar]
X: Dryness Fraction [–]UTD: Speciﬁc Internal Energy of Saturated
Liquid [J/kg]
T∗: Temperature [K], [◦C]
UTDD: Speciﬁc Internal Energy of Saturated
Vapor [J/kg]
T∗: Temperature [K], [◦C]
UTX: Speciﬁc Internal Energy of Mixture [J/kg]
T∗: Temperature [K], [◦C]
X: Dryness Fraction [–]VPD: Speciﬁc Volume of Saturated Liquid [m3 /kg]P∗: Pressure [Pa], [bar]VPDD: Speciﬁc Volume of Saturated Vapor [m3 /kg]P∗: Pressure [Pa], [bar]VPS: Speciﬁc Volume [m3 /kg]P∗: Pressure [Pa], [bar]S: Speciﬁc Entropy [J/(kg·K)]

VPT: Speciﬁc Volume [m3 /kg]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦C]
VPX: Speciﬁc Volume of Mixture [m3 /kg]P∗: Pressure [Pa], [bar]
X: Dryness Fraction [–]VTD: Speciﬁc Volume of Saturated Liquid [m3 /kg]
T∗: Temperature [K], [◦C]
VTDD: Speciﬁc Volume of Saturated Vapor [m3 /kg]
T∗: Temperature [K], [◦C]
VTX: Speciﬁc Volume of Mixture [m3 /kg]
T∗: Temperature [K], [◦C]
X: Dryness Fraction [–]WPT: Velocity of Sound [m/s]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦C]

Range of Argument(s)611.2≤P≤100×106 [Pa]SPT(P,273.16K)≤S≤
SPT(P,1073.15K) [J/(kg·K)]
6.112×10−3 ≤P≤1000 [bar]SPT(P,0.01◦ C)≤S≤
SPT(P,800◦ C) [J/(kg·K)]
611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦ C]
611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]0≤X≤1.0 [–]273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
0≤X≤1.0 [–]611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]611.2≤P≤100×106 [Pa]SPT(P,273.16K)≤S≤
SPT(P,1073.15K) [J/(kg·K)]
6.112×10−3 ≤P≤1000 [bar]SPT(P,0.01◦ C)≤S≤
SPT(P,800◦ C) [J/(kg·K)]
611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦ C]
611.2≤P≤22.12×106 [Pa]6.112×10−3 ≤P≤221.2 [bar]0≤X≤1.0 [–]273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
273.15≤T≤647.3 [K]0≤T≤374.15 [◦ C]
0≤X≤1.0 [–]611.2≤P≤100×106 [Pa]273.15≤T≤1073.15 [K]6.112×10−3 ≤P≤1000 [bar]0≤T≤800 [◦ C]

Water (IFC 1967 Formulation for Industrial Use-IPTS 1968)
Table II–2.15–1

No.
8G
8H
56

Name of
Function
WTD(T)WTDD(T)
XPH(P,H)57

XPS(P,S)58

XPU(P,U)59

XPV(P,V)60

XTH(T,H)

61

XTS(T,S)62

XTU(T,U)63

XTV(T,V)

161

Water(IFC 1967−IPTS 1968) Function (cont’d)

Function and Argument(s)Range of Argument(s)XPH: Dryness Fraction [–]P∗: Pressure [Pa], [bar]H: Speciﬁc Enthalpy of Mixture [J/kg]
XPS: Dryness Fraction [–]P∗: Pressure [Pa], [bar]S: Speciﬁc Entropy of Mixture [J/(kg·K)]
XPU: Dryness Fraction [–]P∗: Pressure [Pa], [bar]U: Speciﬁc Internal Energy of Mixture [J/kg]
XPV: Dryness Fraction [–]P∗: Pressure [Pa], [bar]V: Speciﬁc Volume of Mixture [m3 /kg]
XTH: Dryness Fraction [–]T∗: Temperature [K], [◦C]
H: Speciﬁc Enthalpy of Mixture [J/kg]
XTS: Dryness Fraction [–]T∗: Temperature [K], [◦C]
S: Speciﬁc Entropy of Mixture [J/(kg·K)]
XTU: Dryness Fraction [–]T∗: Temperature [K], [◦C]
U: Speciﬁc Internal Energy of Mixture [J/kg]
XTV: Dryness Fraction [–]T∗: Temperature [K], [◦C]
V: Speciﬁc Volume of Mixture [m3 /kg]

611.2≤P<22.12×106 [Pa]6.112×10−3 ≤P<221.2 [bar]HPD(P)≤H≤HPDD(P) [J/kg]
611.2≤P<22.12×106 [Pa]6.112×10−3 ≤P<221.2 [bar]SPD(P)≤S≤SPDD(P) [J/(kg·K)]
611.2≤P<22.12×106 [Pa]6.112×10−3 ≤P<221.2 [bar]UPD(P)≤U≤UPDD(P) [J/kg]
611.2≤P<22.12×106 [Pa]6.112×10−3 ≤P<221.2 [bar]VPD(P)≤V≤VPDD(P) [m3 /kg]
273.15≤T<647.3 [K]0≤T<374.15 [◦C]
HPD(T)≤H≤HPDD(T) [J/kg]
273.15≤T<647.3 [K]0≤T<374.15 [◦C]
SPD(T)≤S≤SPDD(T) [J/(kg·K)]
273.15≤T<647.3 [K]0≤T<374.15 [◦C]
UPD(T)≤U≤UPDD(P) [J/kg]
273.15≤T<647.3 [K]0≤T<374.15 [◦C]
VPD(T)≤V≤VPDD(T) [m3 /kg]