448

P-PROPATH: Pure Substances and Mixtures with Fixed Composition

2.49 Refrigerant 502
All equations for R502 are based on the Table from Japanese Association of Refrigeration [1].

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

2.49.2 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:

R502, Refrigerant 502, Freon 502,
Azeotrope of R22 and R115, Azeotropeof HCFC-22 and CFC-115
libjr502.a
JR502.LIB
r502-ss
R502–SS.EXE

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

CHCF2 (48.8mass%) + C2 CF5 (51.2mass%)
111.6
74.577 J/(kg·K)

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

4.065×10 6Pa (40.65 bar)355.37 K (82.22 ◦ C)
1.764×10 −3m3 /kg

Reference State:
At 0◦ C, 1.0000 kJ/(kg·K) and 200.00 kJ/kg are assigned to the speciﬁc entropy and the speciﬁc enthalpy ofsaturated liquid, respectively.

2.49.4 Formula
Equation of State:
Equation (II·2·1) in a function from of Z = Z(ρ, T ) in reference [1]. Here Z=compressibility, ρ=density andT = temperature.
Vapor Pressure:
Equation (II·2·15) in reference [1].
Properties at Vapor-Liquid Equilibrium:saturated liquid: Equations (II·2·10), (II·2·12), (II·2·14) and (II·2·5) with (II·2·15) for speciﬁc volume, speciﬁc
enthalpy, speciﬁc entropy and isobaric speciﬁc heat, respectively.
saturated vapor: Equations (II·2·15) and (II·2·1) for speciﬁc volume, (II·2·15) and (II·2·11) for speciﬁc enthalpyand (II·2·5) with (II·2·15) for isobaric speciﬁc heat. Equation (II·2·4) with (II·2·15) for isochoric speciﬁc heat.
All of these equations have been cited from reference [1].
Transport Properties:
Equations (II·3·5) and (II·3·1) in reference [1] for thermal conductivity and dynamic viscosity of saturated
liquid, respectively. Equations (II·3·9) and (II·3·2) in reference [1] for thermal conductivity of vapor and dynamic
viscosity at the atmospheric pressure, respectively. Equations (II·3·3) in reference[1] for dynamic viscosity ofsuperheated vapor.
The Other Properties:

Refrigerant 502

449

Equation (II·2·25) in reference [1] for surface tension.

References[1] Japanese Association of Refrigeration, Thermophysical Properties of Refrigerants (R502, Azeotrope of R22
and R115), (1986).

450

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.49–1

No.
1
94
8A
8B
82

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

Refrigerant 502 Function

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

Range of Argument(s)2.0×103 ≤P≤1.2078×106 [Pa]TSP(P)≤T≤500 [K]1.2078×106 <P≤10.0×106 [Pa]330≤T≤500 [K]
0.02≤P≤12.078 [bar]TSP(P)≤T≤226.85 [◦ C]
12.078<P≤100 [bar]56.85≤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)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)

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

22.845×103 ≤P≤4.065×106 [Pa]0.22845≤P≤40.65 [bar]200≤T≤355.37 [K]−73.15≤T≤82.22 [◦ C]
2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
2.0×103 ≤P≤1.147×106 [Pa]0.02≤P≤11.47 [bar]127.9×103 ≤P≤3.5187×106 [Pa]1.279≤P≤35.187 [bar]P=Dummy230≤T≤434 [K]−43.15≤T≤160.85 [◦ C]
140≤T≤298 [K]−133.15≤T≤24.85 [◦ C]
233≤T≤348 [K]−40.15≤T≤74.85 [◦ C]
PST(201K)≤P≤PST(285K) [Pa](∼24.2×103 )(∼0.806×106 )◦PST(−72.15 C)≤P≤PST(11.85◦ C)(∼0.242)(∼8.06) [bar]0.56626×106 ≤P≤4.065×106 [Pa]5.6626≤P≤40.65 [bar]0.1×106 ≤P≤7.2×106 [Pa]273.15≤T≤398.15 [K]3.3333×10−3 ≤V(P,T) [m3 /kg]
1.0≤P≤72 [bar]0≤T≤125 [◦ C]
201≤T≤285 [K]−72.15≤T≤11.75 [◦ C]

Refrigerant 502

451
Table II–2.49–1

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

CVPD(P)
CVPDD(P)77

CVPT(P,T)

Refrigerant 502 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≤355.37 [K]0≤T≤82.22 [◦ 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]

2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [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’: 0.3259×106 [J/kg] Speciﬁc EnthalpyP∗: ‘A’=‘P’: 4.065×106 [Pa], 40.65 [bar]Pressure
S: ‘A’=‘S’: 1.383×103 [J/(kg·K)] Speciﬁc EntropyT∗: ‘A’=‘T’: 355.37 [K], 82.22 [◦ C]
Temperature
V: ‘A’=‘V’: 1.764×10−3 [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]

2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]2.0×103 ≤P≤1.2078×106 [Pa]TSP(P)≤T≤500 [K]1.2078×106 <P≤10.0×106 [Pa]330≤T≤500 [K]
0.02≤P≤12.078 [bar]TSP(P)≤T≤226.85 [◦ C]
12.078<P≤100 [bar]56.85≤T≤226.85 [◦ C]
167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
one of ‘H’,‘P’,‘S’,‘T’ and ‘V’

2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]2.0×103 ≤P≤1.2078×106 [Pa]TSP(P)≤T≤500 [K]1.2078×106 <P≤10.0×106 [Pa]330≤T≤500 [K]
0.02≤P≤12.078 [bar]TSP(P)≤T≤226.85 [◦ C]
12.078<P≤100 [bar]56.85≤T≤226.85 [◦ C]

7B
78

CVTD(T)
CVTDD(T)

2A
2B
22
2C
2D

EPSPD(P)EPSPDD(P)EPSPT(P,T)
EPSTD(T)EPSTDD(T)

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

167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]

452

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.49–1

No.
89

Name of
FunctionFC(‘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)

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)

Refrigerant 502 Function (cont’d)

Function and Argument(s)Range of Argument(s)FC: Fundamental Constants
M: ‘A’=‘M’: 111.6 Relative Molecular Mass
R: ‘A’=‘R’: 74.577 [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)]

2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]2.0×103 ≤P≤1.2078×106 [Pa]
SPD(P)≤S≤SPT(P,500K) [J/(kg·K)]
1.2078×106 <P≤10.0×106 [Pa]SPT(P,330K)≤S≤
SPT(P,500K) [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’: ‘CHCLF2+C2CLF5’ Molecular
Formula
S: ‘A’=‘S’: ‘REFRIGERANT 502’ 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]0.02≤P≤12.078 [bar]SPD(P)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]
12.078<H≤100 [bar]SPT(P,56.85◦ C)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]
2.0×103 ≤P≤1.2078×106 [Pa]TSP(P)≤T≤500 [K]1.2078×106 <P≤10.0×106 [Pa]330≤T≤500 [K]
0.02≤P≤12.078 [bar]TSP(P)≤T≤226.85 [◦ C]
12.078<P≤100 [bar]56.85≤T≤226.85 [◦ C]
2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]0≤X≤1.0 [–]167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
0≤X≤1.0 [–]one of ‘C’,‘S’ and ‘V’

24.2×103 ≤P≤0.806×106 [Pa]0.242≤P≤8.06 [bar]0.56626×106 ≤P≤3.5187×106 [Pa]5.6626≤P≤35.187 [bar]Refrigerant 502

453
Table II–2.49–1

No.
81

Name of
Function
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)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)

Refrigerant 502 Function (cont’d)

Function and Argument(s)Range of Argument(s)PRPT: Prandtl Number at Ordinary Pressure [–]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦C]
PRTD: Prandtl Number of Saturated Liquid [–]T∗: Temperature [K], [◦C]
PRTDD: Prandtl Number of Saturated Vapor [–]T∗: Temperature [K], [◦C]

P=Dummy230≤T≤434 [K]−43.15≤T≤160.85 [◦ C]
201≤T≤285 [K]−72.15≤T≤11.85 [◦C]
273.15≤T≤348 [K]0≤T≤74.85 [◦C]

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

167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]

SIGP: Surface Tension [N/m]P∗: Pressure [Pa], [bar]PST(200K)≤P≤4.065×106 [Pa](∼20×103 )PST(−73.15 ◦ C)≤P≤40.65 [bar](∼0.2)
200≤T≤355.37 [K]−73.15≤T≤82.22 [◦C]
2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [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]

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]

2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]2.0×103 ≤P≤1.2078×106 [Pa]TSP(P)≤T≤500 [K]1.2078×106 <P≤10.0×106 [Pa]330≤T≤500 [K]
0.02≤P≤12.078 [bar]TSP(P)≤T≤226.85 [◦C]
12.078<P≤100 [bar]56.85≤T≤226.85 [◦ C]
2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]0≤X≤1.0 [–]167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
0≤X≤1.0 [–]2.0×103 ≤P≤1.2078×106 [Pa]HPD(P)≤H≤HPT(P,500K) [J/kg]
1.2078×106 <P≤10.0×106 [Pa]
HPT(P,330K)≤H≤
HPT(P,500K) [J/kg]
0.02≤P≤12.078 [bar]HPD(P)≤H≤HPT(P,226.85◦C) [J/kg]
12.078<H≤100 [bar]HPT(P,56.85◦C)≤H≤
HPT(P,226.85◦ C) [J/kg]

454

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.49–1

No.
6H
65

Name of
Function
TPH2(P,H)
TPS(P,S)

Refrigerant 502 Function (cont’d)

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

Range of Argument(s)2.0×103 ≤P≤1.2078×106 [Pa]
SPD(P)≤S≤SPT(P,500K) [J/(kg·K)]
1.2078×106 <P≤10.0×106 [Pa]SPT(P,330K)≤S≤
SPT(P,500K) [J/(kg·K)]
0.02≤P≤12.078 [bar]SPD(P)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]
12.078<H≤100 [bar]SPT(P,56.85◦ C)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]

6S
98
70

TPS2(P,S)TPSEUP(P)TPV(P,V)

TPV∗: Temperature [K], [◦C]P∗: Pressure [Pa], [bar]V: Speciﬁc Volume [m3 /kg]

2.0×103 ≤P≤1.2078×106 [Pa]VPD(P)≤V≤VPT(P,500K) [m3 /kg]
1.2078×106 <P≤10.0×106 [Pa]VPT(P,330K)≤V≤
VPT(P,500K) [m3 /kg]
0.02≤P≤12.078 [bar]VPD(P)≤V≤VPT(P,226.85◦ C) [m3 /kg]
12.078<H≤100 [bar]VPT(P,56.85◦ C)≤V≤
VPT(P,226.85◦ C) [m3 /kg]

41
100
40

TRPL(‘A’)
TSBP(P)
TSP(P)

74
75
42

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

UPDD(P)79

UPS(P,S)

TSP∗: Saturation Temperature [K], [◦ C]
P∗: Pressure [Pa], [bar]2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [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)]

2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]2.0×103 ≤P≤1.2078×106 [Pa]
SPD(P)≤S≤SPT(P,500K) [J/(kg·K)]
1.2078×106 <P≤10.0×106 [Pa]SPT(P,330K)≤S≤
SPT(P,500K) [J/(kg·K)]
0.02≤P≤12.078 [bar]SPD(P)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]
12.078<H≤100 [bar]SPT(P,56.85◦ C)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]

Refrigerant 502

455
Table II–2.49–1

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)

51

VPT(P,T)52

VPX(P,X)

53

VTD(T)54

VTDD(T)

55

VTX(T,X)

Refrigerant 502 Function (cont’d)

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)]

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 [–]Range of Argument(s)2.0×103 ≤P≤1.2078×106 [Pa]TSP(P)≤T≤500 [K]1.2078×106 <P≤10.0×106 [Pa]330≤T≤500 [K]
0.02≤P≤12.078 [bar]TSP(P)≤T≤226.85 [◦ C]
12.078<P≤100 [bar]56.85≤T≤226.85 [◦C]
2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]0≤X≤1.0 [–]167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
0≤X≤1.0 [–]2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]2.0×103 ≤P≤1.2078×106 [Pa]
SPD(P)≤S≤SPT(P,500K) [J/(kg·K)]
1.2078×106 <P≤10.0×106 [Pa]SPT(P,330K)≤S≤
SPT(P,500K) [J/(kg·K)]
0.02≤P≤12.078 [bar]SPD(P)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]
12.078<H≤100 [bar]SPT(P,56.85◦ C)≤S≤
SPT(P,226.85◦ C) [J/(kg·K)]
2.0×103 ≤P≤1.2078×106 [Pa]TSP(P)≤T≤500 [K]1.2078×106 <P≤10.0×106 [Pa]330≤T≤500 [K]
0.02≤P≤12.078 [bar]TSP(P)≤T≤226.85 [◦ C]
12.078<P≤100 [bar]56.85≤T≤226.85 [◦C]
2.0×103 ≤P≤4.065×106 [Pa]0.02≤P≤40.65 [bar]0≤X≤1.0 [–]167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
167.5≤T≤355.37 [K]−105.65≤T≤82.22 [◦ C]
0≤X≤1.0 [–]456

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.49–1

No.
8E
8F
83

Name of
Function
WPD(P)WPDD(P)
WPT(P,T)

Refrigerant 502 Function (cont’d)

Function and Argument(s)WPT: Velocity of Sound [m/s]P∗: Pressure [Pa], [bar]T∗: Temperature [K], [◦ C]

Range of Argument(s)2.0×103 ≤P≤1.2078×106 [Pa]TSP(P)≤T≤500 [K]1.2078×106 <P≤10.0×106 [Pa]330≤T≤500 [K]
0.02≤P≤12.078 [bar]TSP(P)≤T≤226.85 [◦ C]
12.078<P≤100 [bar]56.85≤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]

2.0×103 ≤P<4.065×106 [Pa]0.02≤P<40.65 [bar]HPD(P)≤H≤HPDD(P) [J/kg]
2.0×103 ≤P<4.065×106 [Pa]0.02≤P<40.65 [bar]SPD(P)≤S≤SPDD(P) [J/(kg·K)]
2.0×103 ≤P<4.065×106 [Pa]0.02≤P<40.65 [bar]UPD(P)≤U≤UPDD(P) [J/kg]
2.0×103 ≤P<4.065×106 [Pa]0.02≤P<40.65 [bar]VPD(P)≤V≤VPDD(P) [m3 /kg]
167.5≤T<355.37 [K]−105.65≤T<82.22 [◦C]HTD(T)≤H≤HTDD(T) [J/kg]
167.5≤T<355.37 [K]−105.65≤T<82.22 [◦C]
STD(T)≤S≤STDD(T) [J/(kg·K)]
167.5 ≤T<355.37 [K]−105.65≤T<82.22 [◦C]UTD(T)≤U≤UTDD(T) [J/kg]
167.5 ≤T<355.37 [K]−105.65≤T<82.22 [◦C]
VTD(T)≤V≤VTDD(T) [m3 /kg]