216

P-PROPATH: Pure Substances and Mixtures with Fixed Composition

2.22 Sulfur Hexafluoride
Equations for thermodynamic properties have been cited from Oda et al.[1], that for transport properties from
Tanaka et al.[2], Tauscher[3], Dawe et al.[4] and Harris[5] , and that for surface tension from Rathjen et al.[6].

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

2.22.2 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:

Sulfur Hexaﬂoride
libjsf6.a
JSF6.LIB
sf6-ss
SF6–SS.EXE

2.22.3 Important Constants and Others
Molecular Formula:
Relative Molecular Mass:
Gas Constant:SF6146.0556.928 J/(kg·K)

Critical Constants:
Critical Pressure:
Critical Temperature:
Critical Speciﬁc Volume:3.7461×10 6Pa (37.641 bar)318.748 K (−45.598 ◦C)
1.37266×10 −3m3 /kg

Triple Point:
Pressure:
Temperature:

0.22502×10 6Pa (2.22502 bar)222.35 K (−50.8◦C)

Reference State:
At 25◦C(298.15 K), 0 J/kg is assigned to the speciﬁc enthalpy of the ideal gas. At 1.01325 bar(1 atm) and25◦ C(298.15 K), 0 J/(kg·K) is assigned to the speciﬁc entropy of the ideal gas.

2.22.4 FormulaEquation of State:
Equation (6) in a function form of P = P (ρ, T ) in reference [1]. Here P =pressure, ρ=density and T =temperature.

Vapor Pressure:
Equation (6) in reference [1] and equation for the Gibbs condition for phase equilibrium.
Properties at Vapor-Liquid Equilibrium:
Equation (6) in reference [1] and equation for the Gibbs condition for phase equilibrium for speciﬁc volume.
Equations as functions of density and temperature, which have been derived directly by partial diﬀerentiation of
the equation of state (6) in reference [1] for speciﬁc entropy, speciﬁc enthalpy, isochoric speciﬁc heat and isobaric
speciﬁc heat, respectively.
Transport property:Sulfur Hexafluoride

217

Equation (7) in reference [2] for thermal conductivity of superheated vapor and equation(5) in reference [3]for thermal conductivity of saturated liquid. Equation (1) in reference [4] and equation (1) in reference [5] forviscosity at room pressure.
The other Properties:
Equation (25) in reference [6] for surface tension.

References[1] A. Oda, M. Uematsu and K. Watanabe, Trans. JSME, Ser.B, 49-437,(1983), pp.172-180.
[2] Y.Tanaka, M.Noguchi, H.Kubota and T.Makita, J. Chem. Eng. Japan,12-3(1979),pp.171-176.
[3] W.Taucher, Wärme- und Stoeﬀueberträgung,1(1968),pp.140-146.
[4] R.A.Dawe, G.C.Maitland, M.Rigby and E.B.Smith, Trans. Faraday Soc., 66(1970),pp.1955-1965.
[5] E.J.Harris, G.C.Hope, D.W.Gough and E.B.Smith, J. Chem. Soc.; Faraday I, 75(1979),pp.892-897.
[6] W.Rathjen and J.Straub, Waerme- und Stoeﬀuebertraegung,14 (1980),pp.59-73.

218

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.22–1

No.
1
94

Name of
Function
AIPPT(P,T)
AJTPT(P,T)

Sulfur Hexaﬂuoride Function

Function and Argument(s)AJTPT: Joule-Thomson Coeﬃcient [K/Pa]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

Range of Argument(s)1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]

8A
8B
82

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

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

1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]

8C
8D
2

AKTD(T)
AKTDD(T)
ALAPP(P)3

ALAPT(T)4

ALHP(P)

5

ALHT(T)

6

ALMPD(P)78

ALMPDD(P)
ALMPT(P,T)

9

ALMTD(T)

10
11
12
13

ALMTDD(T)
AMUPD(P)AMUPDD(P)AMUPT(P,T)

14
15
92

AMUTD(T)AMUTDD(T)BPPT(P,T)

90

BSPT(P,T)

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]0.22502×106 ≤P<3.7641×106 [Pa]2.2502≤P<37.641 [bar]222.35≤T<318.748 [K]−50.8≤T<45.598 [◦ C]
0.22502×106 ≤P<3.7641×106 [Pa]2.2502≤P<37.641 [bar]222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦ C]
0.28505×106 ≤P≤1.2590×106 [Pa]2.8505≤P≤12.59 [bar]

ALMPT: Thermal Conductivity [W/(m·K)]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

10000≤P≤(0.653×(T[K]-273.15)+4.3)×105 [Pa]298.15≤T≤373.15 [K]

ALMTD: Thermal Conductivity of Saturated
Liquid [W/(m·K)]
T∗: Temperature [K], [◦ C]

0.1≤P≤0.653×T[◦ C]+4.3 [bar]25≤T≤100 [◦ C]
228.15≤T≤273.15 [K]−45≤T≤0 [◦C]

AMUPT: Coeﬃcient of Viscosity at Ordinary
Pressure [Pa·s]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

P=Dummy298.15≤T≤373.15 [K]25≤T≤100 [◦ C]

BPPT: Volumetric Coeﬃcient of Expansion [1/K]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

1000≤P≤50×106 [Pa]222.35≤T≤500 [K]

BSPT: Isentropic Compressibility [1/Pa]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]
1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]

Sulfur Hexafluoride

219
Table II–2.22–1

No.
91

93

Name of
Function
BTPT(P,T)

BVPT(P,T)

16

CPPD(P)

17

CPPDD(P)18

CPPT(P,T)

19

CPTD(T)

20

CPTDD(T)21

CRP(‘A’)

7A
76

CVPD(P)
CVPDD(P)77

CVPT(P,T)

Sulfur Hexaﬂuoride Function (cont’d)

Function and Argument(s)BTPT: Isothermal Comperssibility [1/Pa]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

BVPT: Pressure Coeﬃcient [1/K]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ 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]

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’: −40.9178×103 [J/kg] Speciﬁc EnthalpyP∗: ‘A’=‘P’: 3.7641×106 [Pa], 37.641 [bar] Pressure
S: ‘A’=‘S’: −0.309422×103 [J/(kg·K)] Speciﬁc EntropyT∗: ‘A’=‘T’: 318.748 [K], 45.598 [◦ C] Temperature
V: ‘A’=‘V’: 1.37266×10−3 [m3 /kg] Speciﬁc Volume
CVPDD: Isochoric Speciﬁc Heat of Saturated
Vapor [J/(kg·K)]
P∗: Pressure [Pa], [bar]CVPT: Isochoric Speciﬁc Heat [J/(kg·K)]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

Range of Argument(s)1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]
1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]
0.22502×106 ≤P<3.7641×106 [Pa]2.2502≤P<37.641 [bar]0,22502×106 ≤P<3.7641×106 [Pa]2.2502≤P<37.641 [bar]1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]
222.35≤T<318.748 [K]−50.8≤T<45.598 [◦ C]
222.35≤T<318.748 [K]−50.8≤T<45.598 [◦ C]
one of ‘H’, ‘P’, ‘S’, ‘T’ and ‘V’

0.22502×106 ≤P<3.7641×106 [Pa]2.2502≤P<37.641 [bar]1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]

7B
78

CVTD(T)
CVTDD(T)

2A
2B
22
2C
2D
89

EPSPD(P)EPSPDD(P)EPSPT(P,T)
EPSTD(T)EPSTDD(T)FC(‘A’)9A
96

GAMPD(P)GAMPDD(P)

CVTDD: Isochoric Speciﬁc Heat of Saturated
Vapor [J/(kg·K)]
T∗: Temperature [K], [◦ C]

222.35≤T<318.748 [K]−50.8≤T<45.598 [◦ C]

FC: Fundamental Constants
M: ‘A’=‘M’: 146.05 Relative Molecular Mass
R: ‘A’=‘R’: 56.928 [J/(kg·K)] Gas Constant

one of ‘M’ and ‘R’

GAMPDD: Ratio of Speciﬁc Heats of Saturated
Vapor [–]P∗: Pressure [Pa], [bar]0.22502×106 ≤P<3.7641×106 [Pa]2.2502≤P<37.641 [bar]220P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.22–1

No.
95

Name of
Function
GAMPT(P,T)

Sulfur Hexaﬂuoride Function (cont’d)

Function and Argument(s)GAMPT: Ratio of Speciﬁc Heats [–]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

Range of Argument(s)1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]

9B
97

GAMTD(T)GAMTDD(T)23

HPD(P)

24

HPDD(P)71

HPS(P,S)

25

HPT(P,T)

26

HPX(P,X)

27

HTD(T)28

HTDD(T)

29

HTX(T,X)

84

IDENTF(‘A’)

66
68
85
86
81

PLDT(T)
PMLT(T)
PRPD(P)PRPDD(P)
PRPT(P,T)

87
88
99
30

PRTD(T)
PRTDD(T)PSBT(T)
PST(T)

72
73

PSTD(T)
PSTDD(T)GAMTDD: Ratio of Speciﬁc Heats of Saturated
Vapor [–]T∗: Temperature [K], [◦ C]
HPD: Speciﬁc Enthalpy of Saturated Liquid [J/kg]
P∗: Pressure [Pa], [bar]HPDD: Speciﬁc Enthalpy of Saturated Vapor [J/kg]
P∗: Pressure [Pa], [bar]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’: ‘SF6’ Molecular Formula
S: ‘A’=‘S’: ‘SULFUR HEXAFLUORIDE’
Name of Substance
V: ‘A’=‘V’: ‘10.1’ Version Number

222.35≤T<318.748 [K]−50.8≤T<45.598 [◦ C]
0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]1000≤P≤50×106 [Pa]SPT(P,222.35)≤S≤
SPT(P,500K) [J/(kg·K)]
0.01≤P≤500 [bar]SPT(P,−50.8◦ C)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]
1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]
0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]0≤X≤1.0 [–]222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦ C]
222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦ C]
222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦ C]
0≤X≤1.0 [–]one of ‘C’, ‘S’ and ‘V’

PRPT: Prandtl Number [–]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

P=Dummy298.15≤T≤373.15 [K]25≤T≤100 [◦C]

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

222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦ C]

Sulfur Hexafluoride

221
Table II–2.22–1

No.
31

Name of
Function
SIGP(P)

32

SIGT(T)

33

SPD(P)34

SPDD(P)35

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)

Sulfur Hexaﬂuoride Function (cont’d)

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

0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦C]
0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]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]

0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦C]
0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]0≤X≤1.0 [–]222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦C]
222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦C]
222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦C]
0≤X≤1.0 [–]1000≤P≤50×106 [Pa]
HPT(P,222.35K)≤H≤
HPT(P,500K) [J/kg]
0.01≤P≤500 [bar]HPT(P,−50.8◦C)≤H≤
HPT(P,226.85◦ 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)]

1000≤P≤50×106 [Pa]SPT(P,222.35K)≤S≤
SPT(P,500K) [J/(kg·K)]
0.01≤P≤500 [bar]SPT(P,−50.8◦ C)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]

6S
98

TPS2(P,S)TPSEUP(P)70

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

3.7641×106 <P≤20×106 [Pa]37.641<P≤200 [bar]1000≤P≤50×106 [Pa]VPT(P,222.35K)≤V≤
VPT(P,500K) [m3 /kg]
0.01≤P≤500 [bar]VPT(P,−50.8◦C)≤V≤
VPT(P,226.85◦ C) [m3 /kg]

222

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.22–1

No.
41

Name of
Function
TRPL(‘A’)

100
40

TSBP(P)
TSP(P)

74
75
42

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

UPDD(P)79

UPS(P,S)

44

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)

Sulfur Hexaﬂuoride Function (cont’d)

Function and Argument(s)Range of Argument(s)TRPL∗: Properties at Triple PointP∗: ‘A’=‘P’: 0.22502×106 [Pa], 2.2502 [bar]PressureT∗: ‘A’=‘T’: 222.35 [K], −50.8 [◦C]
Temperature

one of ‘P’ and ‘T’

TSP∗: Saturation Temperature [K], [◦C]P∗: Pressure [Pa], [bar]0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [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]UPS: Speciﬁc Internal Energy [J/kg]
P∗: Pressure [Pa], [bar]S: Speciﬁc Entropy [J/(kg·K)]

0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]

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)]

0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]1000≤P≤50×106 [Pa]SPT(P,222.35K)≤S≤
SPT(P,500K) [J/(kg·K)]
0.01≤P≤500 [bar]SPT(P,−50.8)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]
1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]
0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]0≤X≤1.0 [–]222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦ C]
222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦ C]
222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦ C]
0≤X≤1.0 [–]0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]0.22502×103 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]1000≤P≤50×106 [Pa]SPT(P,222.35K)≤S≤
SPT(P,500K) [J/(kg·K)]
0.01≤P≤500 [bar]SPT(P,−50.8◦ C)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]

Sulfur Hexafluoride

223
Table II–2.22–1

No.
51

Name of
Function
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)

Sulfur Hexaﬂuoride Function (cont’d)

Function and Argument(s)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)1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]
0.22502×106 ≤P≤3.7641×106 [Pa]2.2502≤P≤37.641 [bar]0≤X≤1.0 [–]222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦ C]
222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦ C]
222.35≤T≤318.748 [K]−50.8≤T≤45.598 [◦ C]
0≤X≤1.0 [–]1000≤P≤50×106 [Pa]222.35≤T≤500 [K]
0.01≤P≤500 [bar]−50.8≤T≤226.85 [◦ C]

8G
8H
56

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)

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]

0.22502×106 ≤P<3.7641×106 [Pa]2.2502≤P<37.641 [bar]HPD(P)≤H≤HPDD(P) [J/kg]
0.22502×106 ≤P<3.7641×106 [Pa]2.2502≤P<37.641 [bar]SPD(P)≤S≤SPDD(P) [J/(kg·K)]
0.22502×106 ≤P<3.7641×106 [Pa]2.2502≤P<37.641 [bar]UPD(P)≤U≤UPDD(P) [J/kg]
0.22502×106 ≤P<3.7641×106 [Pa]2.2502≤P<37.641 [bar]VPD(P)≤V≤VPDD(P) [m3 /kg]
222.35≤T<318.748 [K]−50.8≤T<45.598 [◦ C]
HTD(T)≤H≤HTDD(T) [J/kg]
222.35≤T<318.748 [K]−50.8≤T<45.598 [◦ C]
STD(T)≤S≤STDD(T) [J/(kg·K)]
222.35≤T<318.748 [K]−50.8≤T<45.598 [◦ C]
UTD(T)≤U≤UTDD(T) [J/kg]
222.35≤T<318.748 [K]−50.8≤T<45.598 [◦ C]
VTD(T)≤V≤VTDD(T) [m3 /kg]