262

P-PROPATH: Pure Substances and Mixtures with Fixed Composition

2.27 Propylene
Equations for thermodynamic properties have been cited from the IUPAC Table [1].

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

2.27.2 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:

Propylene
libjc3h6.aJC3H6.LIB
c3h6-ss
C3H6–SS.EXE

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

C3 H6
42.0804
197.582 J/(kg·K)

Critical Constants:
Critical Pressure:
Critical Temperature:
Critical Speciﬁc Volume:4.6646×10 6Pa (46.646 bar)
365.57 K (92.42 ◦C)
4.4765×10 −3m3 /kg

Triple Point:
Pressure:
Temperature:

0.95402×10 −3Pa (9.5402×10 −9 bar)
87.89 K (−185.26 ◦C)

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

2.27.4 Formula
Equation of State:
Equation (11) in a function form of P = P (ρ, T ) in reference [1]. Here P =pressure, ρ=density and T =temperature.

Vapor Pressure:
Equation (11) [equation of state] and equation (25) [the Gibbs condition for phase equilibrium] in reference [1].

Properties at Vapor-Liquid Equilibrium:
Equation (11) [equation of state] and equation (25) [the Gibbs condition for phase equilibrium] for speciﬁcvolume of both saturated liquid and saturated vapor. Equations (14) and (18) using these speciﬁc volumes
for speciﬁc entropy and speciﬁc enthalpy, respectively. Equations (22) and (19) using these speciﬁc volumes
for isobaric speciﬁc heat and isochoric speciﬁc heat, respectively. All of these equations have been cited fromreference [1].
Pressure and Temperature on Melting Line:Propylene

263

Equations (8) and (9) in reference [1].

References[1] S.Angus, B.Armstrong and K.M.de Reuck, International Thermodynamic Table of the Fluid State-7, Propylene (Propene), IUPAC, vol.7, (1980).

264

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.27–1 Propylene Function

No.
1
94
8A
8B
82

Name of
Function
AIPPT(P,T)
AJTPT(P,T)
AKPD(P)AKPDD(P)AKPT(P,T)

Function and Argument(s)AKPT: Isentropic Exponent [–]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

Range of Argument(s)0.95402×10−3 ≤P≤2.053×10−3 [Pa]90≤T≤575 [K]2.053×10−3 <P≤0.60789 [Pa]TSP(P)≤T≤575 [K]0.60789<P≤10×106 [Pa]110≤T≤575 [K]
10×106 <P≤342.43×106 [Pa]110≤T≤475 [K]342.43×106 <P≤1000×106 [Pa]TMLP(P)≤T≤475 [K]9.5402×10−9 ≤P≤20.53×10−9 [bar]−183.15≤T≤301.85 [◦C]
20.53×10−9 <P≤6.0789×10−6 [bar]TSP(P)≤T≤301.85 [◦ C]
6.0789×10−6 <P≤100 [bar]−163.15≤T≤301.85 [◦C]
100<P≤3424.3 [bar]−163.15≤T≤201.85 [◦C]
3424.3×106 <P≤10000 [bar]TMLP(P)≤T≤201.85 [◦ C]

8C
8D
2
3
4

AKTD(T)
AKTDD(T)
ALAPP(P)
ALAPT(T)
ALHP(P)

5

ALHT(T)

6
7
8
9
10
11
12
13
14
15
92
90
91
93
16

ALMPD(P)ALMPDD(P)
ALMPT(P,T)
ALMTD(T)ALMTDD(T)
AMUPD(P)AMUPDD(P)AMUPT(P,T)
AMUTD(T)AMUTDD(T)BPPT(P,T)
BSPT(P,T)
BTPT(P,T)
BVPT(P,T)
CPPD(P)

17

CPPDD(P)

ALHP: Latent Heat of Vaporization [J/kg]
P∗: Pressure [Pa], [bar]ALHT: Latent Heat of Vaporization [J/kg]
T∗: Temperature [K], [◦ C]

0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ 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]0.60789≤P≤4.6646×106 [Pa]6.0789×10−6 ≤P≤46.646 [bar]0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]Propylene

265
Table II–2.27–1 Propylene Function (cont’d)

No.
18

Name of
Function
CPPT(P,T)

19

CPTD(T)

20

CPTDD(T)21

CRP(‘A’)

7A
76

CVPD(P)
CVPDD(P)77

CVPT(P,T)

Function and Argument(s)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’: −95.469×103 [J/kg] Speciﬁc EnthalpyP∗: ‘A’=‘P’: 4.6646×106 [Pa], 46.646 [bar] Pressure
S: ‘A’=‘S’: −0.90444×103 [J/(kg·K)] Speciﬁc
EntropyT∗: ‘A’=‘T’: 365.57 [K], 92.42 [◦ C] Temperature
V: ‘A’=‘V’: 4.4765×10−3 [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)0.95402×10−3 ≤P≤2.053×10−3 [Pa]90≤T≤575 [K]2.053×10−3 <P≤0.60789 [Pa]TSP(P)≤T≤575 [K]0.60789<P≤10×106 [Pa]110≤T≤575 [K]
10×106 <P≤342.43×106 [Pa]110≤T≤475 [K]342.43×106 <P≤1000×106 [Pa]TMLP(P)≤T≤475 [K]9.5402×10−9 ≤P≤20.53×10−9 [bar]−183.15≤T≤301.85 [◦ C]
20.53×10−9 <P≤6.0789×10−6 [bar]TSP(P)≤T≤301.85 [◦ C]
6.0789×10−6 <P≤100 [bar]−163.15≤T≤301.85 [◦ C]
100<P≤3424.3 [bar]−163.15≤T≤201.85 [◦ C]
3424.3×106 <P≤10000 [bar]TMLP(P)≤T≤201.85 [◦C]
110≤T≤365.57 [K]−163.15≤T≤92.42 [◦ C]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
one of ‘H’, ‘P’, ‘S’, ‘T’ and ‘V’

0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0.95402×10−3 ≤P≤2.053×10−3 [Pa]90≤T≤575 [K]2.053×10−3 <P≤0.60789 [Pa]TSP(P)≤T≤575 [K]0.60789<P≤10×106 [Pa]110≤T≤575 [K]
10×106 <P≤342.43×106 [Pa]110≤T≤475 [K]342.43×106 <P≤1000×106 [Pa]TMLP(P)≤T≤475 [K]9.5402×10−9 ≤P≤20.53×10−9 [bar]−183.15≤T≤301.85 [◦ C]
20.53×10−9 <P≤6.0789×10−6 [bar]TSP(P)≤T≤301.85 [◦ C]
6.0789×10−6 <P≤100 [bar]−163.15≤T≤301.85 [◦ C]
100<P≤3424.3 [bar]−163.15≤T≤201.85 [◦ C]
3424.3×106 <P≤10000 [bar]TMLP(P)≤T≤201.85 [◦C]

266

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.27–1 Propylene Function (cont’d)

No.
7B
78

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

87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦C]

FC: Fundamental Constants
M: ‘A’=‘M’: 42.0804 Relative Molecular Mass
R: ‘A’=‘R’: 197.582 [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)]

0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0.95402×10−3 ≤P≤10×106 [Pa]SPT(P,90K)≤S≤
SPT(P,575K) [J/(kg·K)]
10×106 <P≤36.9584×106 [Pa]SPT(P,90K)≤S≤
SPT(P,475K) [J/(kg·K)]
36.9584×106 <P≤1000×106 [Pa]SPT(P,TMLP(P))≤S≤
SPT(P,475K) [J/(kg·K)]

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

9.5402×10−9 ≤P≤100 [bar]SPT(P,−183.15◦ C)≤S≤
SPT(P,301.85◦ C) [J/(kg·K)]
100<P≤369.584 [bar]SPT(P,−183.15◦ C)≤S≤
SPT(P,201.85◦ C) [J/(kg·K)]
369.584<P≤10000 [bar]SPT(P,TMLP(P))≤S≤
SPT(P,201.85◦ C) [J/(kg·K)]
0.95402×10−3 ≤P≤10×106 [Pa]90≤T≤575 [K]
10×106 <P≤36.9584×106 [Pa]90≤T≤475 [K]36.9584×106 <P≤1000×106 [Pa]TMLP(P)≤T≤475 [K]9.5402×10−9 ≤P≤100 [bar]−183.15≤T≤301.85 [◦ C]
100<P≤369.584 [bar]−183.15≤T≤201.85 [◦ C]
369.584<P≤10000 [bar]TMLP(P)≤T≤201.85 [◦ C]

Propylene

267
Table II–2.27–1 Propylene 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

PLDT(T)
PMLT(T)

85
86
81
87
88
99
30

PRPD(P)PRPDD(P)
PRPT(P,T)
PRTD(T)
PRTDD(T)PSBT(T)
PST(T)

72
73
31
32
33

PSTD(T)
PSTDD(T)SIGP(P)
SIGT(T)
SPD(P)34

SPDD(P)35

SPT(P,T)36

SPX(P,X)

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’: ‘C3H6’ Molecular Formula
S: ‘A’=‘S’: ‘PROPYLENE’ Name of Substance
V: ‘A’=‘V’: ‘10.1’ Version Number

0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0≤X≤1.0 [–]87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
0≤X≤1.0 [–]one of ‘C’, ‘S’ and ‘V’

PMLT∗: Pressure on Melting Curve [Pa], [bar]T∗: Temperature [K], [◦ C]

87.89≤T≤145 [K]−185.26≤T≤−128.15 [◦ C]

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

87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ 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]

0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]SPX: Speciﬁc Entropy of Mixture [J/(kg·K)]
P∗: Pressure [Pa], [bar]
X: Dryness Fraction [–]0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0.95402×10−3 ≤P≤10×106 [Pa]90≤T≤575 [K]
10×106 <P≤36.9584×106 [Pa]90≤T≤475 [K]36.9584×106 <P≤1000×106 [Pa]TMLP(P)≤T≤475 [K]9.5402×10−9 ≤P≤100 [bar]−183.15≤T≤301.85 [◦C]
100<P≤369.584 [bar]−183.15≤T≤201.85 [◦C]
369.584<P≤10000 [bar]TMLP(P)≤T≤201.85 [◦ C]
0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0≤X≤1.0 [–]268

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.27–1 Propylene Function (cont’d)No.
37

Name of
Function
STD(T)38

STDD(T)

39

STX(T,X)

67
69

TLDP(P)
TMLP(P)64

TPH(P,H)

Function and Argument(s)Range of Argument(s)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 [–]87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]

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

0.95402×10−3 ≤P≤1000×106 [Pa]9.5402×10−9 ≤P≤10000 [bar]87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
0≤X≤1.0 [–]0.95402×10−3 ≤P≤10×106 [Pa]
HPT(P,90K)≤H≤
HPT(P,575K) [J/kg]
10×106 <P≤36.9584×106 [Pa]
HPT(P,90K)≤H≤
HPT(P,475K) [J/kg]
36.9584×106 <P≤1000×106 [Pa]
HPT(P,TMLP(P))≤H≤
HPT(P,475K) [J/kg]
9.5402×10−9 ≤P≤100 [bar]HPT(P,−183.15◦C)≤H≤
HPT(P,301.85◦ C) [J/kg]
100<P≤369.584 [bar]HPT(P,−183.15◦C)≤H≤
HPT(P,201.85◦ C) [J/kg]
369.584<P≤10000 [bar]HPT(P,TMLP(P))≤H≤
HPT(P,201.85◦ 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)]

0.95402×10−3 ≤P≤10×106 [Pa]SPT(P,90K)≤S≤
SPT(P,575K) [J/(kg·K)]
10×106 <P≤36.9584×106 [Pa]SPT(P,90K)≤S≤
SPT(P,475K) [J/(kg·K)]
36.9584×106 <P≤1000×106 [Pa]SPT(P,TMLP(P))≤S≤
SPT(P,475K) [J/(kg·K)]
9.5402×10−9 ≤P≤100 [bar]SPT(P,−183.15◦ C)≤S≤
SPT(P,301.85◦ C) [J/(kg·K)]
100<P≤369.584 [bar]SPT(P,−183.15◦ C)≤S≤
SPT(P,201.85◦ C) [J/(kg·K)]
369.584<P≤10000 [bar]SPT(P,TMLP(P))≤S≤
SPT(P,201.85◦ C) [J/(kg·K)]

6S
98

TPS2(P,S)TPSEUP(P)TPSEUP: Pseudo Boiling Point[K], [◦ C]
P∗: Pressure [Pa], [bar]4.6646×106 <P≤19×106 [Pa]46.646<P≤190 [bar]Propylene

269
Table II–2.27–1 Propylene 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’: 0.95402×10−3 [Pa],9.5402×10−9 [bar] PressureT∗: ‘A’=‘T’: 87.89 [K], −185.26 [◦ C]
Temperature

Range of Argument(s)0.95402×10−3 ≤P≤10×106 [Pa]VPT(P,90K)≤V≤
VPT(P,575K) [m3 /kg]
10×106 <P≤36.9584×106 [Pa]VPT(P,90K)≤V≤
VPT(P,475K) [m3 /kg]
36.9584×106 <P≤1000×106 [Pa]VPT(P,TMLP(P))≤V≤
VPT(P,475K) [m3 /kg]
9.5402×10−9 ≤P≤100 [bar]VPT(P,−183.15◦ C)≤V≤
VPT(P,301.85◦ C) [m3 /kg]
100<P≤369.584 [bar]VPT(P,−183.15◦ C)≤V≤
VPT(P,201.85◦ C) [m3 /kg]
369.584<P≤10000 [bar]VPT(P,TMLP(P))≤V≤
VPT(P,201.85◦ C) [m3 /kg]
one of ‘P’ and ‘T’

TSP∗: Saturation Temperature [K], [◦C]P∗: Pressure [Pa], [bar]0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [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)]

0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0.95402×10−3 ≤P≤10×106 [Pa]SPT(P,90K)≤S≤
SPT(P,575K) [J/(kg·K)]
10×106 <P≤36.9584×106 [Pa]SPT(P,90K)≤S≤
SPT(P,475K) [J/(kg·K)]
36.9584×106 <P≤1000×106 [Pa]SPT(P,TMLP(P))≤S≤
SPT(P,475K) [J/(kg·K)]
9.5402×10−9 ≤P≤100 [bar]SPT(P,−183.15◦ C)≤S≤
SPT(P,301.85◦ C) [J/(kg·K)]
100<P≤369.584 [bar]SPT(P,−183.15◦ C)≤S≤
SPT(P,201.85◦ C) [J/(kg·K)]
369.584<P≤10000 [bar]SPT(P,TMLP(P))≤S≤
SPT(P,201.85◦ C) [J/(kg·K)]

270

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.27–1 Propylene 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)0.95402×10−3 ≤P≤10×106 [Pa]90≤T≤575 [K]
10×106 <P≤36.9584×106 [Pa]90≤T≤475 [K]36.9584×106 <P≤1000×106 [Pa]TMLP(P)≤T≤475 [K]9.5402×10−9 ≤P≤100 [bar]−183.15≤T≤301.85 [◦ C]
100<P≤369.584 [bar]−183.15≤T≤201.85 [◦ C]
369.584<P≤10000 [bar]TMLP(P)≤T≤201.85 [◦C]
0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0≤X≤1.0 [–]87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
0≤X≤1.0 [–]0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0.95402×10−3 ≤P≤10×106 [Pa]SPT(P,90K)≤S≤
SPT(P,575K) [J/(kg·K)]
10×106 <P≤36.9584×106 [Pa]SPT(P,90K)≤S≤
SPT(P,475K) [J/(kg·K)]
36.9584×106 <P≤1000×106 [Pa]SPT(P,TMLP(P))≤S≤
SPT(P,475K) [J/(kg·K)]
9.5402×10−9 ≤P≤100 [bar]SPT(P,−183.15◦ C)≤S≤
SPT(P,301.85◦ C) [J/(kg·K)]
100<P≤369.584 [bar]SPT(P,−183.15◦ C)≤S≤
SPT(P,201.85◦ C) [J/(kg·K)]
369.584<P≤10000 [bar]SPT(P,TMLP(P))≤S≤
SPT(P,201.85◦ C) [J/(kg·K)]

Propylene

271
Table II–2.27–1 Propylene 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)

8E
8F
83

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

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)0.95402×10−3 ≤P≤10×106 [Pa]90≤T≤575 [K]
10×106 <P≤36.9584×106 [Pa]90≤T≤475 [K]36.9584×106 <P≤1000×106 [Pa]TMLP(P)≤T≤475 [K]9.5402×10−9 ≤P≤100 [bar]−183.15≤T≤301.85 [◦ C]
100<P≤369.584 [bar]−183.15≤T≤201.85 [◦ C]
369.584<P≤10000 [bar]TMLP(P)≤T≤201.85 [◦ C]
0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]0≤X≤1.0 [–]87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦ C]
0≤X≤1.0 [–]0.95402×10−3 ≤P≤2.053×10−3 [Pa]90≤T≤575 [K]2.053×10−3 <P≤0.60789 [Pa]TSP(P)≤T≤575 [K]0.60789<P≤10×106 [Pa]110≤T≤575 [K]
10×106 <P≤342.43×106 [Pa]110≤T≤475 [K]342.43×106 <P≤1000×106 [Pa]TMLP(P)≤T≤475 [K]9.5402×10−9 ≤P≤20.53×10−9 [bar]−183.15≤T≤301.85 [◦ C]
20.53×10−9 <P≤6.0789×10−6 [bar]TSP(P)≤T≤301.85 [◦ C]
6.0789×10−6 <P≤100 [bar]−163.15≤T≤301.85 [◦ C]
100<P≤3424.3 [bar]−163.15≤T≤201.85 [◦ C]
3424.3×106 <P≤10000 [bar]TMLP(P)≤T≤201.85 [◦ C]

8G
8H

WTD(T)WTDD(T)

272

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.27–1 Propylene Function (cont’d)No.
56

Name of
Function
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)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]

0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]HPD(P)≤H≤HPDD(P) [J/kg]
0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]SPD(P)≤S≤SPDD(P) [J/(kg·K)]
0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]UPD(P)≤U≤UPDD(P) [J/kg]
0.95402×10−3 ≤P≤4.6646×106 [Pa]9.5402×10−9 ≤P≤46.646 [bar]VPD(P)≤V≤VPDD(P) [m3 /kg]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦C]HTD(T)≤H≤HTDD(T) [J/kg]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦C]
STD(T)≤S≤STDD(T) [J/(kg·K)]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦C]UTD(T)≤U≤UTDD(T) [J/kg]
87.89≤T≤365.57 [K]−185.26≤T≤92.42 [◦C]
VTD(T)≤V≤VTDD(T) [m3 /kg]