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.a
JC3H6.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 specific
volume 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 from
reference [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
5
AKTD(T)
AKTDD(T)
ALAPP(P)
ALAPT(T)
ALHP(P)
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 Enthalpy
P∗: ‘A’=‘P’: 4.6646×106 [Pa], 46.646 [bar] Pressure
S: ‘A’=‘S’: −0.90444×103 [J/(kg·K)] Specific
Entropy
T∗: ‘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
41
100
40
Name of
Function
TPV(P,V)
TRPL(‘A’)
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 Point
P∗: ‘A’=‘P’: 0.95402×10−3 [Pa],
9.5402×10−9 [bar] Pressure
T∗: ‘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)
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]
Range of Argument(s)
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]