II P-PROPATH:
Pure Substances and Mixtureswith Fixed Composition

24

P-PROPATH: Pure Substances and Mixtures with Fixed Composition

1. General Features
1.1 FUNCTION SUBPROGRAM REFERENCE
Every P-PROPATH user has to make an initialization process by one of the following two procedures.

1.1.1 Initialization by COMMON VARIABLEs
Every user’s PROGRAM UNIT which is going to CALL the P-PROPATH FUNCTION SUBPROGRAM
should include the following one LINE before the ﬁrst EXECUTABLE STATEMENT.

COMMON/UNIT/KPA, MESSKPA and MESS are reserved as INTEGER VARIABLEs. Furthermore, the following two LINEs must be placed in
the user’s PROGRAM UNIT before the ﬁrst FUNCTION CALL appears.

KPA= M
MESS= N
where both M and N are INTEGERs selected by a user.
KPA speciﬁes the units of pressure and temperature for P-PROPATH FUNCTIONs and their ARGUMENTs.
Descriptions on the system of units will be found in 1.3 and the relation between the value of M and the units
is shown there. When a user wishes to use other units in his/her PROGRAM UNIT later, he/she is supposed to
do the same at that place.
MESS speciﬁes whether the message to the erroneous FUNCTION REFERENCE is to be printed out to thestandard listing device or not. P-PROPATH does not return any messages when N = 0, while it does whenN = 0.

1.1.2 Initialization by SUBROUTINE SUBPROGRAM KPAMES
The alternative method to set the values for KPA and MESS is to make use of SUBROUTINE SUBPROGRAMKPAMES as the following.

CALL KPAMES(KPA,MESS)Operations to Manage Erroneous FUNCTION REFERENCE

25

1.2 Operations to Manage Erroneous FUNCTIONREFERENCE
A predetermined sequence of operations will occur to process the erroneous FUNCTION REFERENCE when
an improper FUNCTION REFERENCE has been done. Erroneous FUNCTION REFERENCEs are grouped
into 3 levels, with the ascending severity of the user’s mistake. (A user has committed a more serious mistake
when he/she gets a level 2 ERROR than when a level 1 ERROR occurs)

1.2.1 Level 1 ERROR (Convergence Failure)
The method of iteration, which is built into some of the P-PROPATH FUNCTION SUBPROGRAMs to solve
an implicit equation, may not work in some cases where a user has speciﬁed an ARGUMENT of FUNCTION
very close to the saturation line or the critical point. A level 1 ERROR means P-PROPATH has stopped
performing the iteration after the preset maximum number of iteration. Then the P-PROPATH FUNCTIONSUBPROGRAM returns him/her an unexpected FUNCTION value and an ERROR message, though the user
is not responsible for this type of ERROR,. A level 1 ERROR is processed as shown below.
value of FUNCTION returned to the CALLing program: −1.0E+10
output to the standard listing device:**** NO CONVERGENCE AT (NAME OF FUNCTION CALLED) ****The PROPATH group is working hard to ensure that P-PROPATH FUNCTION SUBPROGRAM will notreact with level 1 ERRORs because of poor programing technique. However when a user wants to get a value ofa thermophysical property just on the saturation line or at the critical point and not at a point very close to it,
he/she should try to CALL another FUNCTION for the states on the saturation line or at the critical point.

1.2.2 Level 2 ERROR (Invalid ARGUMENT(s))
A level 2 ERROR occurs when the ARGUMENT a user transferred to P-PROPATH FUNCTION has failed
to drop in the proper range. A level 2 ERROR is processed as shown below.
value of FUNCTION returned to the CALLing program: −1.0E+20
output to the standard listing device:**** OUT OF RANGE AT (NAME OF FUNCTION) FOR (NAME OF SUBSTANCE) WHEN
(FIRST ARGUMENT) AND (SECOND ARGUMENT, if any) ****
FUNCTION tables provides the proper range of ARGUMENT(s) for each substance.

1.2.3 Level 3 ERROR (FUNCTION Unavailable)
A user encounters a level 3 ERROR when a P-PROPATH FUNCTION SUBPROGRAM is not available forthe substance selected. A level 3 ERROR is processed as shown below.
value of FUNCTION returned to the CALLing program: −1.0E+30
output to the standard listing device:**** FUNCTION (NAME OF FUNCTION CALLED) UNAVAILABLE FOR (NAME OF
SUBSTANCE) ****
Function table provides a list of FUNCTION SUBPROGRAMs available for each substance.

26

P-PROPATH: Pure Substances and Mixtures with Fixed Composition

1.3 System of Units
All quantities, REAL ARGUMENTs and values of FUNCTION, are in the fundamental SI or in the coherent
derived SI with two exceptions. Pressure can be in the unit of Pascal Pa or bar, and temperature in the unitof Kelvin K or degree Celsius ◦ C. Users are allowed to make their own selection on these units by speciﬁng avalue to COMMON INTEGER VARIABLE KPA. The procedure to set a value to KPA is described in 1.1, andthe relation between the value of KPA and the units of pressure and temperature is shown in the table below.
The temperature is based on the International Practical Temperature Scale 1968, IPTS-1968 or International
Temperature Scale, ITS-1990.
Table II-1-1 Units of Pressure and Temperature Speciﬁed by KPA
unit of pressure
KPA
0
1
2
3
others

Pa
bar
bar
Pa
Pa

unit of temperature
K
C
K
◦
C
K
◦

Reserved NAMEs

27

1.4 Reserved NAMEs
P–PROPATH uses a lot of NAMEs, listed below, for its own purpose. These are the NAMEs of FUNCTIONSUBPROGRAMs to which a user can access directly, KPA, the ﬁrst COMMON INTEGER VARIABLE, tospecify the units of pressure and temperature, and MESS, the second COMMON INTEGER VARIABLE, to allow
or suppress the listing of error messages. These are supposed to appear in the user’s PROGRAM UNIT only
when they assume their original meaning. A, B, C, · · · are the ﬁrst LETTERs in the NAMEs listed in the sameline.
NAMEs of FUNCTION SUBPROGRAMs:
A : AIPPT, AJTPT, AKPD, AKPDD, AKPT, AKTD, AKTDD, ALAPP, ALAPT,: ALHP, ALHT, ALMPD, ALMPDD, ALMPT, ALMTD, ALMTDD, AMUPD, AMUPDD,: AMUPT, AMUTD, AMUTDD
B : BPPT, BSPT, BTPT, BVPTC : CPPD, CPPDD, CPPT, CPTD, CRP, CPTDD, CVPD, CVPDD, CVPT, CVTD, CVTDD
E : EPSPD, EPSPDD, EPSPT, EPSTD, EPSTDD
F : FCG : GAMPD, GAMPDD, GAMPT, GAMTD, GAMTDD
H : HPD, HPDD, HPS, HPT, HPX, HTD, HTDD, HTX
I : IDENTF
P : PLDT, PMLT, PRPD, PRPDD, PRPT, PRTD, PRTDD, PST, PSTD, PSTDD
S : SIGP, SIGT, SPD, SPDD, SPT, SPX, STD, STDD, STX
T : T68, T90, TLDP, TMLP, TPH, TPH2, TPS, TPS2, TPSEUP, TPV, TRPL,: TSBP, TSP, TSPD, TSPDD
U : UPD, UPDD, UPS, UPT, UPX, UTD, UTDD, UTX
V : VPD, VPDD, VPS, VPT, VPX, VTD, VTDD, VTX
W: WPD, WPDD, WPT, WTD, WTDD
X : XPH, XPS, XPU, XPV, XTH, XTS, XTU, XTV
NAMEs of COMMON INTEGER VARIABLEs:
K : KPA
M: MESS

28

P-PROPATH: Pure Substances and Mixtures with Fixed Composition

1.5 Naming Convention of FUNCTION SUBPROGRAM
The NAMEs of FUNCTION SUBPROGRAM have been allocated in a regular pattern. This will help a user
to remember them. The ﬁrst one to six LETTERs stand for the kinds of the thermophysical properties. These
are, in alphabetical order,
“AIP”
“AJT”
“AK”
“ALAP”
“ALH”
“ALM”
“AMU”
“BP”
“BS”
“BT”
“BV”
“CP”
“CRP”
“CV”
“EPS”
“FC”
“GAM”
“H”
“IDENTF”
“PLD”
“PML”
“PR”
“PS”
“S”
“SIG”
“T”
“TLD”
“TML”
“TPSEU”“TRPL”
“TS”
“U”
“V”
“W”
“X”

=ion product=Joul-Thomson coeﬃcient=isentropic exponent=Laplace coeﬃcient=latent heat of vaporization=thermal conductivity=coeﬃcient of viscosity=volmetric coeﬃcient of expansion=isentropic compressibility=isothermal compressibility=pressure coeﬃcient=isobaric speciﬁc heat
=critical constants=isochoric speciﬁc heat
=static dielectric constant=fundamental constants=ratio of speciﬁc heats=speciﬁc enthalpy=name of substance or version number=pressure on λ line=pressure on melting line
=Prandtl number=saturation pressure=speciﬁc entropy=surface tension=temperature=temperature on λ line
=temperature on melting line
=pseudo boiling temperature=property at the triple point=saturation temperature=speciﬁc internal energy=speciﬁc volume=velocity of sound=dryness fraction of wet vapor“A” at the top of the ﬁrst 6 of these has been attached to avoid the DEFAULT IMPLIED TYPING characteristicof FORTRAN language.
After these one to six LETTERs mentioned above, there come the LETTER(s) reminding users of the partinent
ARGUMENT(s). These are made of one or two LETTERs, and in the latter case the order of the two LETTERs
coincides with the order of the ARGUMENTS which they stand for in the parentheses ( ) of FUNCTION
symbol. They are “H”= speciﬁc enthalpy, “P”= pressure, “S”= speciﬁc entropy, “T”= temperature, “U”=
speciﬁc internal energy, “V”= speciﬁc volume, and “X”= dryness fraction of wet vapor. However no LETTER
follows after “CRP”, “FC”, “IDENTF” and “TRPL”. In these four FUNCTION SUBPROGRAMs, they areargumented by a CHARACTER. For the case of “CRP” and “TRPL”, one of ‘H’, ‘P’, ‘S’, ‘T’, and ‘V’ is thepossible CHARACTER CONSTANT, and the value of the FUNCTION is speciﬁc enthalpy, pressure, speciﬁc
entropy, temperature or speciﬁc volume in the same order. For “FC”, either ‘M’ or ‘R’ is the possible, and thevalue of the FUNCTION is molecular weight or gas constant. Finally, for “IDENTF” one of ‘C’, ‘S’ or ‘V’ ispossible, and the molecular formula, the name of substance or the version number of the package is provided asa CHARACTER value.
Lastly the NAME of FUNCTION SUBPROGRAM ends with “D” and “DD” standing for the saturated liquid
and the dry saturated vapor, respectively. These conform to the Japanese and German conventions “ ’ ” and “” ” in the thermodynamic literature. In English literature, they are symbolized as “ f ” and “ g ”, respectively.

An Example of User’s PROGRAM UNIT

29

1.6 An Example of User’s PROGRAM UNIT
[ Example ] A reversible Rankine cycle works between a higher pressure of 10 MPa and a lower pressure of 5
kPa (see ﬁgure). Find the cycle eﬀectiveness, the thermal eﬃciency, the work ratio and the steam rate. Assume
a reference temperature of 25◦ C.

Reversible Rankine Cycle

Sample Program
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35

*****************************************************SAMPLE PROGRAM FOR /PROPATH/ USERS****
EXAMPLE FROMNISHIKAWA AND ITO,**
OHYOH NETSURIKIGAKU,**CORONA SHA, TOKYO,
*
*
1983
*
*
*
******************************************************** EX.11.4 ON PAGE 306, CYCLE EFFICIENCY, WORK RATIO, **********AND STEAM RATE FOR RANKINE CYCLE******REAL*4 L,L0,LT0,LP0
COMMON/UNIT/KPA, MESS
KPA=1
MESS=1P1=100.0
P2=0.05
T0=298.15
H1=HPDD(P1)
S1=SPDD(P1)
H3=HPD(P2)
R=ALHP(P2)S3=SPD(P2)
X=XPS(P2,S1)
H2=H3+X*R
T4=TPS(P1,S3)
H4=HPT(P1,T4)
LT0=H1-H2
LP0=H4-H3
L0=LT0-LP0
QB0=H1-H4
L=L0/LT0

30

P-PROPATH: Pure Substances and Mixtures with Fixed Composition

36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51

ETA=L0/QB0
G0=3600.0/L0*1000.
GT0=3600.0/LT0*1000.
PSI1=H1-T0*S1
PSI4=H4-T0*S3
ETAC=L0/(PSI1-PSI4)
WRITE(6,*)’********* SAMPLE PROGRAM FOR /PROPATH/ USERS *********’WRITE(6,*)’CYCLE EFFICIENCYETA =’,ETA
WRITE(6,*)’
WORK RATIO
L0 =’,LWRITE(6,*)’
STEAM RATE PER NET POWER
G0 =’,&
G0,’ (KG/KWH)’
WRITE(6,*)’
STEAM RATE PER TURBINE POWER
GT0 =’,&
GT0,’ (KG/KWH)’
WRITE(6,*)’CYCLE EFFECTIVENESSEATC=’,ETAC
STOP
END

Output********* SAMPLE PROGRAM FOR /PROPATH/ USERS *********CYCLE EFFICIENCYETA =0.38983846
WORK RATIO
L0 =0.99013019
STEAM RATE PER NET POWER
G0 =3.5793953 (KG/KWH)
STEAM RATE PER TURBINE POWER
GT0 =3.5440674 (KG/KWH)
CYCLE EFFECTIVENESSETAC=0.96117246

Sample Output of Single Shot Program

1.7 Sample Output of Single Shot Program+------------------------------------------------------------+| PROPATH Version 10.1|
| A Program Package for Thermophysical Properties of Fluids |||| Application Program: <Single Shot for Pure Substances>|| Copyright PROPATH Group, Dec. 10, 1996|+------------------------------------------------------------+-- Hit RETURN Key ---==============================================================================|
SS: An Application Program for PROPATH Providing||
Thermophysical Properties of WATER(IFC 1967) (H2O) VER.10.1|==============================================================================| No.
PROPATH Functions| No.
PROPATH Functions|==============================================================================| 1: TSP, VPD, VPDD, HPD, HPDD, SPD, SPDD
| 12: TPH, XPH||
UPD, UPDD, ALHP
| 13: HPS, TPS, UPS, VPS, XPS || 2: TSP, ALAPP, ALMPD, ALMPDD, AMUPD, AMUPDD | 14: XPU|| 3: CPPD, CPPDD, CVPDD, GAMPDD, PRPD, PRPDD | 15: TPV, XPV||
SIGP| 16: HPX, SPX, UPX, VPX|| 4: TSP, TSPD, TSPDD, TLDP,TMLP, TPSEUP,TSBP | 17: XTH|| 5: PST, VTD, VTDD, HTD, HTDD, STD, STDD
| 18: XTS||
UTD, UTDD, ALHT
| 19: XTU|
| 6: PST, ALAPT, ALMTD, ALMTDD, AMUTD, AMUTDD | 20: XTV|| 7: CPTD, CPTDD, CVTDD, GAMTDD, PRTD, PRTDD | 21: HTX, STX, UTX, VTX||
SIGT| 22: CRP, FC, TRPL|
| 8: PST, PSTD, PSTDD, PLDT, PMLT, PSBT
| 23: T90, T68|| 9: VPT, HPT, SPT, UPT||| 10: ALMPT, AMUPT, CPPT, CVPT, GAMPT, PRPT||
| 11: AKPT, AJTPT, AIPPT, BPPT, BSPT, BTPT
| 99: Change System of Unit||
BVPT, EPSPT, WPT| 0: Quit|==============================================================================
Input No. : 1==========================================
Calculation of TSP, VPD, VPDD, HPD, HPDD
SPD, SPDD, UPD, UPDD, ALHP==========================================
Input P[Pa] ( P<0 : Quit ) ====> 1.01325E+05
P= 1.013250E+05 [Pa]TSP= 3.731499E+02 [K]VPD= 1.043708E-03 [m**3/kg]
VPDD= 1.673001E+00 [m**3/kg]
HPD= 4.190644E+05 [J/kg]
HPDD= 2.676009E+06 [J/kg]
SPD= 1.306870E+03 [J/(kg*K)]
SPDD= 7.355380E+03 [J/(kg*K)]
UPD= 4.189586E+05 [J/kg]
UPDD= 2.506492E+06 [J/kg]
ALHP= 2.256944E+06 [J/kg]
Input P[Pa] ( P<0 : Quit ) ====> -1==============================================================================|
SS: An Application Program for PROPATH Providing||
Thermophysical Properties of WATER(IFC 1967) (H2O) VER.10.1|==============================================================================| No.
PROPATH Functions| No.
PROPATH Functions|==============================================================================| 1: TSP, VPD, VPDD, HPD, HPDD, SPD, SPDD
| 12: TPH, XPH||
UPD, UPDD, ALHP
| 13: HPS, TPS, UPS, VPS, XPS || 2: TSP, ALAPP, ALMPD, ALMPDD, AMUPD, AMUPDD | 14: XPU|| 3: CPPD, CPPDD, CVPDD, GAMPDD, PRPD, PRPDD | 15: TPV, XPV||
SIGP| 16: HPX, SPX, UPX, VPX|| 4: TSP, TSPD, TSPDD, TLDP,TMLP, TPSEUP,TSBP | 17: XTH|| 5: PST, VTD, VTDD, HTD, HTDD, STD, STDD
| 18: XTS||
UTD, UTDD, ALHT
| 19: XTU
|

31

32

P-PROPATH: Pure Substances and Mixtures with Fixed Composition| 6: PST, ALAPT, ALMTD, ALMTDD, AMUTD, AMUTDD | 20: XTV|| 7: CPTD, CPTDD, CVTDD, GAMTDD, PRTD, PRTDD | 21: HTX, STX, UTX, VTX||
SIGT| 22: CRP, FC, TRPL|
| 8: PST, PSTD, PSTDD, PLDT, PMLT, PSBT
| 23: T90, T68|| 9: VPT, HPT, SPT, UPT||| 10: ALMPT, AMUPT, CPPT, CVPT, GAMPT, PRPT||
| 11: AKPT, AJTPT, AIPPT, BPPT, BSPT, BTPT
| 99: Change System of Unit||
BVPT, EPSPT, WPT| 0: Quit|==============================================================================
Input No. : 99=========================================No.
Unit(Current)=========================================
1 ---> Pressure[Pa]
2 ---> Temperature[K]
3 ---> Energy[J/kg]
Entropy and Sp. Heat [J/(kg*K)]
4 ---> Specific Volume[m**3/kg]
5 ---> Thermal Conductivity [W/(m*K)]
6 ---> Viscosity[Pa*s]
7 ---> Surface Tension[N/m]
8 ---> Laplace Coefficient [m]9 ---> Sonic Velocity[m/s]
10 ---> Joul-Thomson Coef.
[K/Pa]
0 ---> Return to the Function Menu=========================================
Input No. : 1==================
Unit for Pressure==================
1 ---> [Pa]2 ---> [kPa]
3 ---> [MPa]4 ---> [bar]5 ---> [ata]6 ---> [atm]7 ---> [mmHg]
8 ---> [lb/in**2]
9 ---> [lb/ft**2]==================
Input No. : 3=========================================No.
Unit(Current)=========================================
1 ---> Pressure[MPa]
2 ---> Temperature[K]
3 ---> Energy[J/kg]
Entropy and Sp. Heat [J/(kg*K)]
4 ---> Specific Volume[m**3/kg]
5 ---> Thermal Conductivity [W/(m*K)]
6 ---> Viscosity[Pa*s]
7 ---> Surface Tension[N/m]
8 ---> Laplace Coefficient [m]9 ---> Sonic Velocity[m/s]
10 ---> Joul-Thomson Coef.
[K/Pa]
0 ---> Return to the Function Menu=========================================
Input No. : 2====================
Unit for Temperature====================
1 ---> [K]2 ---> [C]
3 ---> [F]
4 ---> [R]====================
Input No. : 2=========================================No.
Unit(Current)=========================================
1 ---> Pressure[MPa]Sample Output of Single Shot Program

2 ---> Temperature[C]
3 ---> Energy[J/kg]
Entropy and Sp. Heat [J/(kg*K)]
4 ---> Specific Volume[m**3/kg]
5 ---> Thermal Conductivity [W/(m*K)]
6 ---> Viscosity[Pa*s]
7 ---> Surface Tension[N/m]
8 ---> Laplace Coefficient [m]9 ---> Sonic Velocity[m/s]
10 ---> Joul-Thomson Coef.
[K/Pa]
0 ---> Return to the Function Menu=========================================
Input No. : 0==============================================================================|
SS: An Application Program for PROPATH Providing||
Thermophysical Properties of WATER(IFC 1967) (H2O) VER.10.1|==============================================================================| No.
PROPATH Functions| No.
PROPATH Functions|==============================================================================| 1: TSP, VPD, VPDD, HPD, HPDD, SPD, SPDD
| 12: TPH, XPH||
UPD, UPDD, ALHP
| 13: HPS, TPS, UPS, VPS, XPS || 2: TSP, ALAPP, ALMPD, ALMPDD, AMUPD, AMUPDD | 14: XPU|| 3: CPPD, CPPDD, CVPDD, GAMPDD, PRPD, PRPDD | 15: TPV, XPV||
SIGP| 16: HPX, SPX, UPX, VPX|| 4: TSP, TSPD, TSPDD, TLDP,TMLP, TPSEUP,TSBP | 17: XTH|| 5: PST, VTD, VTDD, HTD, HTDD, STD, STDD
| 18: XTS||
UTD, UTDD, ALHT
| 19: XTU|
| 6: PST, ALAPT, ALMTD, ALMTDD, AMUTD, AMUTDD | 20: XTV|| 7: CPTD, CPTDD, CVTDD, GAMTDD, PRTD, PRTDD | 21: HTX, STX, UTX, VTX||
SIGT| 22: CRP, FC, TRPL|
| 8: PST, PSTD, PSTDD, PLDT, PMLT, PSBT
| 23: T90, T68|| 9: VPT, HPT, SPT, UPT||| 10: ALMPT, AMUPT, CPPT, CVPT, GAMPT, PRPT||
| 11: AKPT, AJTPT, AIPPT, BPPT, BSPT, BTPT
| 99: Change System of Unit||
BVPT, EPSPT, WPT| 0: Quit|==============================================================================
Input No. : 9=================================
Calculation of VPT, HPT, SPT, UPT=================================
Input P[MPa] and T[C] ( P<0 : Quit) : 20.0,450.0
P= 2.000000E+01 [MPa]T= 4.500000E+02 [C]VPT= 1.270676E-02 [m**3/kg]
HPT= 3.064273E+06 [J/kg]
SPT= 5.908902E+03 [J/(kg*K)]
UPT= 2.810137E+06 [J/kg]
Input P[MPa] and T[C] ( P<0 : Quit) : -1,0==============================================================================|
SS: An Application Program for PROPATH Providing||
Thermophysical Properties of WATER(IFC 1967) (H2O) VER.10.1|==============================================================================| No.
PROPATH Functions| No.
PROPATH Functions|==============================================================================| 1: TSP, VPD, VPDD, HPD, HPDD, SPD, SPDD
| 12: TPH, XPH||
UPD, UPDD, ALHP
| 13: HPS, TPS, UPS, VPS, XPS || 2: TSP, ALAPP, ALMPD, ALMPDD, AMUPD, AMUPDD | 14: XPU|| 3: CPPD, CPPDD, CVPDD, GAMPDD, PRPD, PRPDD | 15: TPV, XPV||
SIGP| 16: HPX, SPX, UPX, VPX|| 4: TSP, TSPD, TSPDD, TLDP,TMLP, TPSEUP,TSBP | 17: XTH|| 5: PST, VTD, VTDD, HTD, HTDD, STD, STDD
| 18: XTS||
UTD, UTDD, ALHT
| 19: XTU|
| 6: PST, ALAPT, ALMTD, ALMTDD, AMUTD, AMUTDD | 20: XTV|| 7: CPTD, CPTDD, CVTDD, GAMTDD, PRTD, PRTDD | 21: HTX, STX, UTX, VTX||
SIGT| 22: CRP, FC, TRPL|
| 8: PST, PSTD, PSTDD, PLDT, PMLT, PSBT
| 23: T90, T68|| 9: VPT, HPT, SPT, UPT||| 10: ALMPT, AMUPT, CPPT, CVPT, GAMPT, PRPT||
| 11: AKPT, AJTPT, AIPPT, BPPT, BSPT, BTPT
| 99: Change System of Unit||
BVPT, EPSPT, WPT| 0: Quit|==============================================================================
Input No. : 22============================

33

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P-PROPATH: Pure Substances and Mixtures with Fixed Composition

Calculation of CRP, FC, TRPL============================
Critical Constants
H= 2.107400E+06 [J/kg]
P= 2.212000E+01 [MPa]S= 4.442860E+03 [J/(kg*K)]
T= 3.741500E+02 [C]V= 3.170000E-03 [m**3/kg]
Fundamental Constants
M= 1.801530E+01 [-]R= 4.615100E+02 [J/(kg*K)]
Triple Point
P= 6.112000E-04 [MPa]T= 1.000977E-02 [C]-- Hit RETURN Key to Function Menu--==============================================================================|
SS: An Application Program for PROPATH Providing||
Thermophysical Properties of WATER(IFC 1967) (H2O) VER.10.1|==============================================================================| No.
PROPATH Functions| No.
PROPATH Functions|==============================================================================| 1: TSP, VPD, VPDD, HPD, HPDD, SPD, SPDD
| 12: TPH, XPH||
UPD, UPDD, ALHP
| 13: HPS, TPS, UPS, VPS, XPS || 2: TSP, ALAPP, ALMPD, ALMPDD, AMUPD, AMUPDD | 14: XPU|| 3: CPPD, CPPDD, CVPDD, GAMPDD, PRPD, PRPDD | 15: TPV, XPV||
SIGP| 16: HPX, SPX, UPX, VPX|| 4: TSP, TSPD, TSPDD, TLDP,TMLP, TPSEUP,TSBP | 17: XTH|| 5: PST, VTD, VTDD, HTD, HTDD, STD, STDD
| 18: XTS||
UTD, UTDD, ALHT
| 19: XTU|
| 6: PST, ALAPT, ALMTD, ALMTDD, AMUTD, AMUTDD | 20: XTV|| 7: CPTD, CPTDD, CVTDD, GAMTDD, PRTD, PRTDD | 21: HTX, STX, UTX, VTX||
SIGT| 22: CRP, FC, TRPL|
| 8: PST, PSTD, PSTDD, PLDT, PMLT, PSBT
| 23: T90, T68|| 9: VPT, HPT, SPT, UPT||| 10: ALMPT, AMUPT, CPPT, CVPT, GAMPT, PRPT||
| 11: AKPT, AJTPT, AIPPT, BPPT, BSPT, BTPT
| 99: Change System of Unit||
BVPT, EPSPT, WPT| 0: Quit|==============================================================================
Input No. : 0***** See You Again ! *****
Stop - Program terminated.