Ammonia (Stewart, Jacobsen and Renoncello)

199

2.20 Ammonia (Stewart, Jacobsen and Renoncello)
Equations for thermodynamic properties are based on the formulations by Stewart, Jacobsen and Renoncelloused in a monograph from American Society of Heating, Refrigerating and Air-Conditioning Engineers [1]. The
Equation for viscosity has been cited from Fenghour, Wakeham, Vesovic, Watson, Millat and Vogel [2], that forthermal conductivity from Yata [3], and that for surface tension from Liley and Desai [4].

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

2.20.2 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:

Ammonialibjnh3.a
JNH3.LIB
nh3-ssNH3–SS.EXE

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

NH3
17.03026
488.18 J/(kg·K)

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

11.304×10 6Pa (113.04 bar)405.4 K (132.25 ◦C)
4.255×10 −3m3 /kg

Triple Point:
Pressure:
Temperature:

6.063×10 3 Pa (0.06063 bar)
195.48 K (−77.67◦C)

Reference State:0
Ideal gas value of internal energy is deﬁned as U0K= 0 J/kg at 0 K (−273.15 ◦ C).

2.20.4 Formula
Equation of State:
Equations (6.1.1)-(6.1.4) in a function form of A = A(ρ, T ) in reference [1]. Here A=speciﬁc helmholtz function,
ρ=density and T =temperature.
Vapor Pressure:
Equation (6.1.12) in reference [1].
Properties at Vapor-Liquid Equilibrium:
Equations (6.1.12) and (6.1.5) for speciﬁc volume, equation (6.1.6) for speciﬁc entropy, and equation (6.1.8)
for speciﬁc enthalpy. All of these have been cited from reference [1].
Transport Properties:

200

P-PROPATH: Pure Substances and Mixtures with Fixed Composition

Viscosiy, thermal conductivity and surface tension are cited from reference [2], [3] and [4], respectively.

References[1] R. B. Stewart, R. T. Jacobsen and S. G. Renoncello, ASHRAE Thermodynamic Properties of Refrigerants,
American Society of Heating, Refrigerating and Air-Conditioning Engineers, (1986), pp.93–97, pp.262–282.
[2] A. Fenghour, W. A. Wakeham, V. Vesovic, J. T. R. Watson, J. Millat and E. Vogel, J. Phys. Chem. Ref.
Data, Vol. 24, 5, (1995), pp.1649.
[3] J. Yata, Private communication.
[4] P. E. Liley and P. D. Desai, Thermophysical Properties of Refrigerants (Inch–Pound Edition), American
Society of Heating, Refrigerating and Air-Conditioning Engineers, (1993), pp.204.

Ammonia (Stewart, Jacobsen and Renoncello)

201

Table II–2.20–1 Ammonia Function

No.
1
94
8A
8B
82
8C
8D
2
3
4

Name of
Function
AIPPT(P,T)
AJTPT(P,T)
AKPD(P)AKPDD(P)AKPT(P,T)
AKTD(T)
AKTDD(T)
ALAPP(P)
ALAPT(T)
ALHP(P)

5

ALHT(T)

6

ALMPD(P)7

ALMPDD(P)8

ALMPT(P,T)

Function and Argument(s)Range of Argument(s)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)]
ALMPDD: Thermal Conductivity of Saturated
Vapor [W/(m·K)]
ALMPT: Thermal Conductivity [W/(m·K)]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦C]
40.8339×103 ≤P≤10.4652×106 [Pa]0.408339≤P≤104.652 [bar]40.8339×103 ≤P≤9.7034×106 [Pa]0.408339≤P≤97.034 [bar]0<P≤50.0×106 [Pa]223.15≤T≤573.15 [K]
0<P≤500 [bar]-50.0≤T≤300 [◦ C]

9

ALMTD(T)10

ALMTDD(T)11

AMUPD(P)12

AMUPDD(P)13

AMUPT(P,T)

14

AMUTD(T)15

AMUTDD(T)

92
90
91
93
16
17
18
19
20

BPPT(P,T)
BSPT(P,T)
BTPT(P,T)
BVPT(P,T)
CPPD(P)CPPDD(P)CPPT(P,T)
CPTD(T)
CPTDD(T)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]
AMUTDD: Coeﬃcient of Viscosity of Saturated
Vapor [Pa·s]
T∗: Temperature [K], [◦ C]

out of range:
395.0 < T < 430.0 [K]
112.5 < ρ < 337.5 [kg/m3 ]223.15≤T≤401.064 [K]-50.0≤T≤127.914 [◦C]
223.15≤T≤396.8669 [K]-50.0≤T≤123.7169 [◦C]
6.06×103 ≤P≤11.2939×106 [Pa]6.06×10−2 ≤P≤112.939 [bar]6.06×103 ≤P≤11.2939×106 [Pa]6.06×10−2 ≤P≤112.939 [bar]0<P≤50.0×106 [Pa]196.0≤T≤700.0 [K]
0<P≤500 [bar]-77.15≤T≤426.85 [◦C]
195.48≤T≤405.35 [K]-77.67≤T≤132.2 [◦ C]
195.48≤T≤405.35 [K]-77.67≤T≤132.2 [◦ C]

202

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.20–1 Ammonia Function (cont’d)

No.
21

Name of
Function
CRP(‘A’)

7A
76
77
7B
78
2A
2B
22
2C
2D
89

CVPD(P)
CVPDD(P)
CVPT(P,T)
CVTD(T)
CVTDD(T)EPSPD(P)EPSPDD(P)EPSPT(P,T)
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)71

HPS(P,S)

25

HPT(P,T)

Function and Argument(s)Range of Argument(s)CRP: Critical ConstantsP∗: ‘A’=‘P’: 11.304×106 [Pa], 113.04 [bar] PressureT∗: ‘A’=‘T’: 405.4 [K], 132.25 [◦ C] Temperature
V: ‘A’=‘V’: 4.255×10−3 [m3 /kg] Speciﬁc Volume

one of ‘P’, ‘T’ and ‘V’

FC: Fundamental Constants
M: ‘A’=‘M’: 17.03026 Relative Molecular Mass
R: ‘A’=‘R’: 488.18 [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]HPS: Speciﬁc Enthalpy [J/kg]
P∗: Pressure [Pa], [bar]S: Speciﬁc Entropy [J/(kg·K)]

6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]0.01×106 ≤P≤15×106 [Pa]SPT(P,208.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]
15×106 <P≤150×106 [Pa]SPT(P,218.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]
150×106 <P≤500×106 [Pa]SPT(P,(0.4×10−6 )P+158.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]

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

0.001≤P≤150 [bar]SPT(P,−65◦ C)≤S≤
SPT(P,480◦ C) [J/(kg·K)]
150<P≤1500 [bar]SPT(P,−55◦ C)≤S≤
SPT(P,480◦ C) [J/(kg·K)]
1500<P≤5000 [bar]SPT(P,0.04P−115◦ C)≤S≤
SPT(P,480C) [J/(kg·K)]
0.01×106 ≤P≤15×106 [Pa]208.15≤T≤753.15 [K]
15×106 <P≤150×106 [Pa]218.15≤T≤753.15 [K]
150×106 <P≤500×106 [Pa](0.4×10−6 )P+158.15≤T≤753.15 [K]0.001≤P≤150 [bar]−65.0≤T≤480 [◦C]
150<P≤1500 [bar]−55.0≤T≤480 [◦C]
1500<P≤5000 [bar]0.04P−115≤T≤480 [◦C]

Ammonia (Stewart, Jacobsen and Renoncello)203

Table II–2.20–1 Ammonia Function (cont’d)No.
26

Name of
Function
HPX(P,X)

27

HTD(T)28

HTDD(T)

29

HTX(T,X)

84

IDENTF(‘A’)

66
68
85
86
81
87
88
99
30

PLDT(T)
PMLT(T)
PRPD(P)PRPDD(P)
PRPT(P,T)
PRTD(T)
PRTDD(T)PSBT(T)
PST(T)72
73
31

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

32

SIGT(T)

33

SPD(P)34

SPDD(P)35

SPT(P,T)

Function and Argument(s)Range of Argument(s)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’: ‘NH3’ Molecular Formula
S: ‘A’=‘S’: ‘AMMONIA’ Name of Substance
V: ‘A’=‘V’: ‘10.1’ Version Number

6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]0≤X≤1.0 [–]195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦C]
195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦C]
195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦C]
0≤X≤1.0 [–]one of ‘C’, ‘S’ and ‘V’

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

195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦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]SPT: Speciﬁc Entropy [J/(kg·K)]
P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

10.8207×103 ≤P≤11.2939×106 [Pa]10.8207×10−2 ≤P≤112.939 [bar]203.0≤T≤405.40 [K]-70.15≤T≤132.25 [◦C]
6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]0.01×106 ≤P≤15×106 [Pa]208.15≤T≤753.15 [K]
15×106 <P≤150×106 [Pa]218.15≤T≤753.15 [K]
150×106 <P≤500×106 [Pa](0.4×10−6 )P+158.15≤T≤753.15 [K]0.001≤P≤150 [bar]−65.0≤T≤480 [◦ C]
150<P≤1500 [bar]−55.0≤T≤480 [◦ C]
1500<P≤5000 [bar]0.04P−115≤T≤480 [◦ C]

204

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.20–1 Ammonia Function (cont’d)No.
36

Name of
Function
SPX(P,X)

37

STD(T)38

STDD(T)

39

STX(T,X)

67
69
64

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

Function and Argument(s)Range of Argument(s)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 [–]6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]0≤X≤1.0 [–]195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦C]

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

0.01×106 ≤P≤15×106 [Pa]
HPT(P,208.15K)≤H≤
HPT(P,753.15K) [J/kg]
15×106 <P≤150×106 [Pa]
HPT(P,218.15K)≤H≤
HPT(P,753.15K) [J/kg]
150×106 <P≤500×106 [Pa]
HPT(P,(0.4×10−6 )P+158.15K)≤H≤
HPT(P,753.15K) [J/kg]

195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦C]
195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦C]
0≤X≤1.0 [–]0.001≤P≤150 [bar]HPT(P,−65◦ C)≤H≤
HPT(P,480◦C) [J/kg]
150<P≤1500 [bar]HPT(P,−55◦ C)≤H≤
HPT(P,480◦C) [J/kg]
1500<P≤5000 [bar]HPT(P,0.04P−115◦ C)≤H≤
HPT(P,480◦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)]

0.01×106 ≤P≤15×106 [Pa]SPT(P,208.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]
15×106 <P≤150×106 [Pa]SPT(P,218.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]
150×106 <P≤500×106 [Pa]SPT(P,(0.4×10−6 )P+158.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]
0.001≤P≤150 [bar]SPT(P,−65◦ C)≤S≤
SPT(P,480◦ C) [J/(kg·K)]
150<P≤1500 [bar]SPT(P,−55◦ C)≤S≤
SPT(P,480◦ C) [J/(kg·K)]
1500<P≤5000 [bar]SPT(P,0.04P−115◦ C)≤S≤
SPT(P,480◦ C) [J/(kg·K)]

6S
98

TPS2(P,S)TPSEUP(P)Ammonia (Stewart, Jacobsen and Renoncello)

205

Table II–2.20–1 Ammonia Function (cont’d)

No.
70

Name of
Function
TPV(P,V)41

TRPL(‘A’)

100
40

TSBP(P)
TSP(P)

74
75
42

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

UPDD(P)79

UPS(P,S)

Function and Argument(s)TPV∗: Temperature [K], [◦ C]
P∗: Pressure [Pa], [bar]V: Speciﬁc Volume [m3 /kg]

TRPL∗: Properties at Triple PointP∗: ‘A’=‘P’: 6.063×103 [Pa], 0.06063 [bar]PressureT∗: ‘A’=‘T’: 195.48 [K], −77.67 [◦ C]
Temperature

Range of Argument(s)0.01×106 ≤P≤15×106 [Pa]VPT(P,208.15K)≤V≤
VPT(P,753.15K) [m3 /kg]
15×106 <P≤150×106 [Pa]VPT(P,218.15K)≤V≤
VPT(P,753.15K) [m3 /kg]
150×106 <P≤500×106 [Pa]VPT(P,(0.4×10−6 )P+158.15K)≤V≤
VPT(P,753.15K) [m3 /kg]
0.001≤P≤150 [bar]VPT(P,−65◦ C)≤V≤
VPT(P,480◦C) [m3 /kg]
150<P≤1500 [bar]VPT(P,−55◦ C)≤V≤
VPT(P,480◦C) [m3 /kg]
1500<P≤5000 [bar]VPT(P,0.04P−115◦ C)≤V≤
VPT(P,480◦C) [m3 /kg]
one of ‘P’ and ‘T’

TSP∗: Saturation Temperature [K], [◦ C]
P∗: Pressure [Pa], [bar]6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [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)]

6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]0.01×106 ≤P≤15×106 [Pa]SPT(P,208.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]
15×106 <P≤150×106 [Pa]SPT(P,218.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]
150×106 <P≤500×106 [Pa]SPT(P,(0.4×10−6 )P+158.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]
0.001≤P≤150 [bar]SPT(P,−65◦ C)≤S≤
SPT(P,480◦ C) [J/(kg·K)]
150<P≤1500 [bar]SPT(P,−55◦ C)≤S≤
SPT(P,480◦ C) [J/(kg·K)]
1500<P≤5000 [bar]SPT(P,0.04P−115◦ C)≤S≤
SPT(P,480◦ C) [J/(kg·K)]

206

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.20–1 Ammonia Function (cont’d)No.
44

Name of
Function
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)

Function and Argument(s)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)]

Range of Argument(s)0.01×106 ≤P≤15×106 [Pa]208.15≤T≤753.15 [K]
15×106 <P≤150×106 [Pa]218.15≤T≤753.15 [K]
150×106 <P≤500×106 [Pa](0.4×10−6 )P+158.15≤T≤753.15 [K]0.001≤P≤150 [bar]−65≤T≤480 [◦C]
150<P≤1500 [bar]−55≤T≤480 [◦C]
1500<P≤5000 [bar]0.04P−115≤T≤480 [◦ C]
6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]0≤X≤1.0 [–]195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦ C]
195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦ C]
195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦ C]
0≤X≤1.0 [–]6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]0.01×106 ≤P≤15×106 [Pa]SPT(P,208.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]
15×106 <P≤150×106 [Pa]SPT(P,218.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]
150×106 <P≤500×106 [Pa]SPT(P,(0.4×10−6 )P+158.15K)≤S≤
SPT(P,753.15K) [J/(kg·K)]
0.001≤P≤150 [bar]SPT(P,−65◦ C)≤S≤
SPT(P,480◦ C) [J/(kg·K)]
150<P≤1500 [bar]SPT(P,−55◦ C)≤S≤
SPT(P,480◦ C) [J/(kg·K)]
1500<P≤5000 [bar]SPT(P,0.04P−115◦ C)≤S≤
SPT(P,480◦ C) [J/(kg·K)]

Ammonia (Stewart, Jacobsen and Renoncello)

207

Table II–2.20–1 Ammonia Function (cont’d)No.
51

Name of
Function
VPT(P,T)52

VPX(P,X)

53

VTD(T)54

VTDD(T)

55

VTX(T,X)

8A
8B
83
8C
8D
56

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

Function and Argument(s)VPT: Speciﬁc Volume [m3 /kg]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

Range of Argument(s)0.01×106 ≤P≤15×106 [Pa]208.15≤T≤753.15 [K]
15×106 <P≤150×106 [Pa]218.15≤T≤753.15 [K]
150×106 <P≤500×106 [Pa](0.4×10−6 )P+158.15≤T≤753.15 [K]

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 [–]0.001≤P≤150 [bar]−65≤T≤480 [◦C]
150<P≤1500 [bar]−55≤T≤480 [◦C]
1500<P≤5000 [bar]0.04P−115≤T≤480 [◦ C]
6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]0≤X≤1.0 [–]195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦ C]
195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦ C]
195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦ C]
0≤X≤1.0 [–]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]

6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]HPD(P)≤H≤HPDD(P) [J/kg]
6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]SPD(P)≤S≤SPDD(P) [J/(kg·K)]
6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]UPD(P)≤U≤UPDD(P) [J/kg]
6.063×103 ≤P≤11.2939×106 [Pa]0.06063≤P≤112.939 [bar]VPD(P)≤V≤VPDD(P) [m3 /kg]
195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦ C]
HPD(T)≤H≤HPDD(T) [J/kg]
195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦ C]
SPD(T)≤S≤SPDD(T) [J/(kg·K)]
195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦ C]
UPD(T)≤U≤UPDD(P) [J/kg]
195.48≤T≤405.35 [K]−77.67≤T≤132.20 [◦ C]
VPD(T)≤V≤VPDD(T) [m3 /kg]