Refrigerant 500

441

2.48 Refrigerant 500
All equations for R500 are based on the Table from Thermophysical properties of refrigerants of ASHRAE[1].

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

2.48.2 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:

R500, Refrigerant 500, Freon 500,
Azeotrope of R12 and R152a,
Azeotrope of CFC-12 and HFC-152a
libjr500.a
JR500.LIB
r500-ss
R500–SS.EXE

2.48.3 Important Constants and Others
Molecular Formula:
Relative Molecular Mass:
Gas Constant:CC2 F2 (72.8mass% +CH3 CHF2 (26.2mass%)
99.30083.7312 J/(kg·K)

Critical Constants:
Critical Pressure:
Critical Temperature:
Critical Speciﬁc Volume:4.4256×10 6Pa (44.256 bar)
378.70 K (105.55 ◦ C)
2.0121×10 −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.

2.48.4 Formula
Equation of State:
The Bender equation of state (II·3·1) in reference [1], which is in a function from of Z = Z(ρ, T). Here
Z=compressibility, ρ=density and T=temperature.
Vapor Pressure:
Equation (20) in reference [1].
Properties at Vapor-Liquid Equilibrium:saturated state: The Bender equation of state is utilized to obtaining saturated speciﬁc volume by the aid of
maxwell’s criterion according to the author’s recommendation. The Bender equation of state shows unreasonablebehavior near the critical point. This temperature range is evaluated by Tc ± 1 K. Therefore, in the temperature
range and above the critical pressure, the values of u, h and s would include some uncertainity. Also, in theranges of psat (Tc − 1 K) < p < psat (Tc + 1 K) and v (Tc − 1 K) < v < v (Tc − 1 K), the calculated values ofp, v, T, cp , cv , isentropic exponent, Laplace coeﬃcient, Prandtl number, velocity of sound and dryness fractionof wet vapor would have some uncertainity. Equations (2), (3), and (5) for speciﬁc enthalpy, speciﬁc entropy andisobaric speciﬁc heat respectively. However, the sign of the last integration term in u including in Equation (2)has been corrected to −.
Transport Properties:

442

P-PROPATH: Pure Substances and Mixtures with Fixed Composition

Equation (3.28) in reference [2] and Eq.(3.27) in reference [3] for thermal conductivity and dynamic viscosityof saturated liquid respectively.

References[1] B.Platzer, A.Polt and G.Maurer, Thermophysical Properties of Refrigerants (1990) ASHRAE[2] JSME Data Book: Thermophysical Properties of Fluids, JSME (1983), 527

Refrigerant 500

443
Table II–2.48–1

No.
1
94
8A
8B
82

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

Refrigerant 500 Function

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

Range of Argument(s)0.02×106 ≤P≤5.85×106 [Pa]300≤T≤470 [K]
0.2≤P≤58.5 [bar]26.85≤T≤196.85 [◦C]

8C
8D
2
3
4

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

5

ALHT(T)

6

ALMPD(P)78
9ALMPDD(P)
ALMPT(P,T)
ALMTD(T)10
11

ALMTDD(T)
AMUPD(P)12
13
14

AMUPDD(P)AMUPT(P,T)
AMUTD(T)

15
92
90
91
93
16

AMUTDD(T)BPPT(P,T)
BSPT(P,T)
BTPT(P,T)
BVPT(P,T)
CPPD(P)

17

CPPDD(P)18

CPPT(P,T)

19

CPTD(T)

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]0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]298.15≤T≤378.7 [K]25≤T≤105.55 [◦C]
PST(160K)≤P≤2.635×106 [Pa]PST(−113.15◦ C)≤P≤26.35 [bar]

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

100≤T≤320 [K]−173.15≤T≤46.85 [◦ C]

AMUPD: Coeﬃcient of Viscosity of Saturated
Liquid [Pa·s]
P∗: Pressure [Pa], [bar]PST(190K)≤P≤PST(332K) [Pa](∼25×103 )(∼3.37×106 )PST(−83.15◦ C)≤P≤PST(58.85◦ C)(∼0.25)(∼33.7) [bar]

AMUTD: Coeﬃcient of Viscosity of Saturated
Liquid [Pa·s]
T∗: Temperature [K], [◦C]

190≤T≤332 [K]−83.15≤T≤58.85 [◦ 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]

0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]CPTD: Isobaric Speciﬁc Heat of Saturated
Liquid [J/(kg·K)]
T∗: Temperature [K], [◦C]

0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]0.02×106 ≤P≤5.85×106 [Pa]300≤T≤470 [K]
0.2≤P≤58.5 [bar]26.85≤T≤196.85 [◦C]
298.15≤T≤378.7 [K]25≤T≤105.55 [◦C]

444

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.48–1

No.
20

Name of
Function
CPTDD(T)21

CRP(‘A’)

7A
76

CVPD(P)
CVPDD(P)77

CVPT(P,T)

Refrigerant 500 Function (cont’d)

Function and Argum ent(s)Range of Argument(s)CPTDD: Isobaric Speciﬁc Heat of Saturated
Vapor [J/(kg·K)]
T∗: Temperature [K], [◦C]
CRP: Critical Constants
H: ‘A’=‘H’: 0.3698×106 [J/kg] Speciﬁc EnthalpyP∗: ‘A’=‘P’: 4.4256×106 [Pa], 44.256 [bar] Pressure
S: ‘A’=‘S’: 1.498×103 [J/(kg·K)] Speciﬁc EntropyT∗: ‘A’=‘T’: 378.70 [K], 105.55 [◦C] Temperature
V: ‘A’=‘V’: 2.0121×10−3 [m3 /kg] Speciﬁc Volume298.15≤T≤378.7 [K]25≤T≤105.55 [◦ C]

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]

0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]one of ‘H’, ‘P’, ‘S’, ‘T’ and ‘V’

0.02×106 ≤P≤5.85×106 [Pa]300≤T≤470 [K]
0.2≤P≤58.5 [bar]26.85≤T≤196.85 [◦ 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
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)

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

298.15≤T≤378.7 [K]25≤T≤105.55 [◦ C]

FC: Fundamental Constants
M: ‘A’=‘M’: 99.30 Relative Molecular Mass
R: ‘A’=‘R’: 83.7312 [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)]

0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]0.02×106 ≤P≤5.85×106 [Pa]SPT(P,300K)≤S≤
SPT(P,470K) [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]

0.2≤P≤58.5 [bar]SPT(P,26.85◦ C)≤S≤
SPT(P,196.85◦ C) [J/(kg·K)]
0.02×106 ≤P≤5.85×106 [Pa]300≤T≤470 [K]
0.2≤P≤58.5 [bar]26.85≤T≤196.85 [◦ C]
0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]0≤X≤1.0 [–]298.15≤T≤378.7 [K]25≤T≤105.55 [◦ C]
298.15≤T≤378.7 [K]25≤T≤105.55 [◦ C]

Refrigerant 500

445
Table II–2.48–1

No.
29

Name of
Function
HTX(T,X)

84

IDENTF(‘A’)

66
68
85

PLDT(T)
PMLT(T)
PRPD(P)

86
81
87

PRPDD(P)
PRPT(P,T)
PRTD(T)

88
99
30

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)

37

STD(T)38

STDD(T)

39

STX(T,X)

67
69
64

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

Refrigerant 500 Function (cont’d)

Function and Argument(s)Range of Argument(s)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’: ‘CCL2F2+CH3CHF2’
Molecular Formula
S: ‘A’=‘S’: ‘REFRIGERANT 500’ Name of
Substance
V: ‘A’=‘V’: ‘10.1’ Version Number

298.15≤T≤378.7 [K]25≤T≤105.55 [◦C]
0≤X≤1.0 [–]one of ‘C’, ‘S’ and ‘V’

PRPD: Prandtl Number of Saturated Liquid [–]P∗: Pressure [Pa], [bar]25×103 ≤P≤2.635×106 [Pa]0.25≤P≤26.35 [bar]

PRTD: Prandtl Number of Saturated Liquid [–]T∗: Temperature [K], [◦C]

190≤T≤320 [K]−83.15≤T≤46.85 [◦ C]

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

298.15≤T≤378.7 [K]25≤T≤105.55 [◦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]

0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [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]

0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]0.02×106 ≤P≤5.85×106 [Pa]300≤T≤470 [K]
0.2≤P≤58.5 [bar]26.85≤T≤196.85 [◦C]
0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]0≤X≤1.0 [–]298.15≤T≤378.7 [K]25≤T≤105.55 [◦C]
298.15≤T≤378.7 [K]25≤T≤105.55 [◦C]
298.15≤T≤378.7 [K]25≤T≤105.55 [◦C]
0≤X≤1.0 [–]0.02×106 ≤P≤5.85×106 [Pa]
HPT(P,300K)≤H≤
HPT(P,470K) [J/kg]
0.2≤P≤58.5 [bar]HPT(P,26.85◦ C)≤H≤
HPT(P,196.85◦ C) [J/kg]

446

P-PROPATH: Pure Substances and Mixtures with Fixed Composition
Table II–2.48–1

No.
6H
65

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

Refrigerant 500 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)0.02×106 ≤P≤5.85×106 [Pa]SPT(P,300K)≤S≤
SPT(P,470K) [J/(kg·K)]
0.2≤P≤58.5 [bar]SPT(P,26.85◦ C)≤S≤
SPT(P,196.85◦ C) [J/(kg·K)]

98
6S
70

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

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

0.02×106 ≤P≤5.85×106 [Pa]VPT(P,300K)≤V≤
VPT(P,470K) [m3 /kg]
0.2≤P≤58.5 [bar]VPT(P,26.85◦ C)≤V≤
VPT(P,196.85◦ 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)

44

UPT(P,T)45

UPX(P,X)

46

UTD(T)

47

UTDD(T)

48

UTX(T,X)

49

VPD(P)

TSP∗: Saturation Temperature [K], [◦ C]
P∗: Pressure [Pa], [bar]0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [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)]

0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [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]0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]0.02×106 ≤P≤5.85×106 [Pa]SPT(P,300K)≤S≤
SPT(P,470K) [J/(kg·K)]
0.2≤P≤58.5 [bar]SPT(P,26.85◦ C)≤S≤
SPT(P,196.85◦ C) [J/(kg·K)]
0.02×106 ≤P≤5.85×106 [Pa]300≤T≤470 [K]
0.2≤P≤58.5 [bar]26.85≤T≤196.85 [◦ C]
0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]0≤X≤1.0 [–]298.15≤T≤378.7 [K]25≤T≤105.55 [◦ C]
298.15≤T≤378.7 [K]25≤T≤105.55 [◦ C]
298.15≤T≤378.7 [K]25≤T≤105.55 [◦ C]
0≤X≤1.0 [–]0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]Refrigerant 500

447
Table II–2.48–1

No.
50

Name of
Function
VPDD(P)80

VPS(P,S)

51

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)

Refrigerant 500 Function (cont’d)

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

Range of Argument(s)0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]0.02×106 ≤P≤5.85×106 [Pa]SPT(P,300K)≤S≤
SPT(P,470K) [J/(kg·K)]
0.2≤P≤58.5 [bar]SPT(P,26.85◦ C)≤S≤
SPT(P,196.85◦ C) [J/(kg·K)]
0.02×106 ≤P≤5.85×106 [Pa]300≤T≤470 [K]
0.2≤P≤58.5 [bar]26.85≤T≤196.85 [◦ C]
0.77×106 ≤P≤4.4256×106 [Pa]7.7≤P≤44.256 [bar]0≤X≤1.0 [–]298.15≤T≤378.7 [K]25≤T≤105.55 [◦ C]
298.15≤T≤378.7 [K]25≤T≤105.55 [◦ C]
298.15≤T≤378.7 [K]25≤T≤105.55 [◦ C]
0≤X≤1.0 [–]0.02×106 ≤P≤5.85×106 [Pa]300≤T≤470 [K]
0.2≤P≤58.5 [bar]26.85≤T≤196.85 [◦ 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]

0.77×106 ≤P<4.4256×106 [Pa]7.7≤P<44.256 [bar]HPD(P)≤H≤HPDD(P) [J/kg]
0.77×106 ≤P<4.4256×106 [Pa]7.7≤P<44.256 [bar]SPD(P)≤S≤SPDD(P) [J/(kg·K)]
0.77×106 ≤P<4.4256×106 [Pa]7.7≤P<44.256 [bar]UPD(P)≤U≤UPDD(P) [J/kg]
0.77×106 ≤P<4.4256×106 [Pa]7.7≤P<44.256 [bar]VPD(P)≤V≤VPDD(P) [m3 /kg]
298.15≤T<378.7 [K]25≤T<105.55 [◦ C]
HTD(T)≤H≤HTDD(T) [J/kg]
298.15≤T<378.7 [K]25≤T<105.55 [◦ C]
STD(T)≤S≤STDD(T) [J/(kg·K)]
298.15≤T<378.7 [K]25≤T<105.55 [◦ C]
UTD(T)≤U≤UTDD(T) [J/kg]
298.15≤T<378.7 [K]25≤T<105.55 [◦ C]
VTD(T)≤V≤VTDD(T) [m3/kg]