Ethanol 1 Temperature Scale International Temperature Scale of 1990 (ITS-90) 2 Libraries and Single Shot Programs Library for Library for Single shot Single shot 3 UNIX Windows program for UNIX program for Windows libdc2h5oh.a dc2h5oh.lib/ dc2h5oh.dll dc2h5oh-ss dc2h5oh-ss.exe Fundamental Constants Molecular formula Molar mass Gas constant Critical temperature Critical pressure Critical specific volume Triple-point temperature Triple-point pressure C2 H5 OH M = 46.0684 g/mol R = 180.4809 J/(kg·K) Tc = 513.9000 K (240.7500˚C) Pc = 6.1480 MPa vc = 0.003623 m3 /kg Tt = - K (−273.150˚C) Pt = - Pa 4 Reference State 5 Valid Range of Equation of State Upper limit of temperature Lower limit of temperature Upper limit of pressure 6 Tmax = 650 K Tmin = − K Pmax = 280 MPa References Equation of state and Melting pressure: H. E. Dillon and S. G. Penoncello, A Fundamental Equation for Calculation of the Thermodynamic Properties of Ethanol, Int. J. Thermophys., 25, 2, pp.321-335, (2004). Transport properties: The current version of this library has not supported the calculation of the transport properties yet. 1 7 Available Functions and Valid Range of Parameters All functions listed below have the return value and argument(s) in single precision. The functions with the return value and argument(s) in double precision begin with ”D” prefix, for instance, double precision functions corresponding to PST and HPT in single precision are DPST and DHPT, respectively. Function AIPPT(P, T ) AJTPT(P, T ) AKPD(P ) AKPDD(P ) AKPT(P, T ) AKTD(T ) AKTDD(T ) ALAPP(P ) ALAPT(T ) ALHP(P ) ALHT(T ) 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 ) CPPDD(P ) CPPT(P, T ) CPTD(T ) CPTDD(T ) Return value and Argument(s) N/A AJTPT: Joule-Thomson coefficient [K/Pa] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] AKPD: Isentropic exponent of saturated liquid [-] P : Pressure [Pa], [bar] AKPDD: Isentropic exponent of saturated vapor [-] P : Pressure [Pa], [bar] AKPT: Isentropic exponent [-] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] AKTD: Isentropic exponent of saturated liquid [-] T : Temperature [K], [˚C] AKTDD: Isentropic exponent of saturated vapord [-] T : Temperature [K], [˚C] N/A N/A ALHP: Latent Heat of Vaporization [J/kg] P : Pressure [Pa], [bar] ALHT: Latent Heat of Vaporization [J/kg] T : Temperature [K], [˚C] N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A BPPT: Volumetric coefficient of expansion [1/K] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] BSPT: Isentropic compressibility [1/Pa] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] BTPT: Isothermal compressibility [1/Pa] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] BVPT: Pressure coefficient [1/K] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] CPPD: Isobaric heat capacity of saturated liquid [J/(kg·K)] P : Pressure [Pa], [bar] CPPDD: Isobaric heat capacity of saturated vapor [J/(kg·K)] P : Pressure [Pa], [bar] CPPT: Isobaric heat capacity [J/(kg·K)] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] CPTD: Isobaric heat capacity of saturated liquid [J/(kg·K)] T : Temperature [K], [˚C] CPTDD: Isobaric heat capacity of saturated vapor [J/(kg·K)] T : Temperature [K], [˚C] 2 Valid range of argument(s) Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax P t ≤ P ≤ Pc P t ≤ P ≤ Pc Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc P t ≤ P ≤ Pc Tt ≤ T ≤ Tc Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax P t ≤ P ≤ Pc P t ≤ P ≤ Pc Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc Function CRP(A) CVPD(P ) CVPDD(P ) CVPT(P, T ) CVTD(T ) CVTDD(T ) EPSPD(P ) EPSPDD(P ) EPSPT(P, T ) EPSTD(T ) EPSTDD(T ) FC(A) GAMPD(P ) GAMPDD(P ) GAMPT(P, T ) GAMTD(T ) GAMTDD(T ) HPD(P ) HPDD(P ) HPS(P, S) HPT(P, T ) HPX(P, X) HTD(T ) HTDD(T ) HTX(T, X) IDENTF(A) PLDT(T ) PMLT(T ) PRPD(P ) Return value and Argument(s) CRP: Critical Constants A = 0 H0 : specific enthalpy, 1041.844 kJ/kg A = 0 P0 : pressure, 6.1480 MPa ( 61.480 bar) A = 0 S0 : specific entropy, 2.7771 kJ/(kg·K) A = 0 T0 : temperature, 513.9000 K (240.7500˚C) A = 0 V0 : specific volume, 0.003623 m3 /kg CVPD: Isochoric heat capacity of saturated liquid [J/(kg·K)] P : Pressure [Pa], [bar] CVPDD: Isochoric heat capacity of saturated vapor [J/(kg·K)] P : Pressure [Pa], [bar] CVPT: Isochoric heat capacity [J/(kg·K)] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] CVTD: Isochoric heat capacity of saturated liquid [J/(kg·K)] T : Temperature [K], [˚C] CVTDD: Isochoric heat capacity of saturated vapor [J/(kg·K)] T : Temperature [K], [˚C] N/A N/A N/A N/A N/A FC: Fundamental constants A = 0 M0 : Molar mass, 46.0684 g/mol A = 0 R0 : Gas constant, 180.4809 J/(kg·K) GAMPD: Heat capacity ratio of saturated liquid [-] P : Pressure [Pa], [bar] GAMPDD: Heat capacity ratio of saturated vapor [-] P : Pressure [Pa], [bar] GAMPT: Heat capacity ratio [-] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] GAMTD: Heat capacity ratio of saturated liquid [-] T : Temperature [K], [˚C] GAMTDD: Heat capacity ratio of saturated vapor [-] T : Temperature [K], [˚C] 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] HPT: Specific enthalpy [J/kg] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] HPX: Specific enthalpy [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 [J/kg] T : Temperature [K], [˚C] X: Dryness fraction [-] IDENTF : Package Identification (CHARACTER*20) A = 0 C0 : Molecular formula, C2 H5 OH A = 0 S0 : Substance name, Ethanol A = 0 V0 : Version number, 13.1 N/A PMLT: Pressure on melting curve [Pa], [bar] T : Temperature [K], [˚C] N/A 3 Valid range of argument(s) ’H’, ’P’, ’S’, ’T’, and ’V’ P t ≤ P ≤ Pc P t ≤ P ≤ Pc Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc ’M’ and ’R’ P t ≤ P ≤ Pc P t ≤ P ≤ Pc Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc P t ≤ P ≤ Pc P t ≤ P ≤ Pc Pt ≤ P ≤ Pmax SPT(P, Tt ) ≤ S ≤ SPT(P, Tmax ) Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax P t ≤ P ≤ Pc 0 ≤ X ≤ 1.0 Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc 0 ≤ X ≤ 1.0 ’C’, ’S’, and ’V’ Tt ≤ T ≤ Tmax Function PRPDD(P ) PRPT(P, T ) PRTD(T ) PRTDD(T ) PSBT(T ) PST(T ) PSTD(T ) PSTDD(T ) SIGP(P ) SIGT(T ) SPD(P ) SPDD(P ) SPT(P, T ) SPX(P, X) STD(T ) STDD(T ) STX(T, X) TLDP(P ) TMLP(P ) TPH(P, H) TPH2(P, H) TPS(P, S) TPS2(P, S) TPSEUP(P ) TPV(P, V ) TRPL(A) TSBP(P ) TSP(P ) TSPD(P ) TSPDD(P ) UPD(P ) UPDD(P ) UPS(P, S) UPT(P, T ) UPX(P, X) Return value and Argument(s) N/A N/A N/A N/A N/A PST: Saturation pressure [Pa], [bar] T : Temperature [K], [˚C] N/A N/A N/A N/A 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 [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 [J/(kg·K)] T : Temperature [K], [˚C] X: Dryness fraction [-] N/A TMLP: Temperature on melting-line [K], [˚C] P : Pressure [Pa], [bar] TPH: Temperature [K], [˚C] P : Pressure [Pa], [bar] H: Specific enthalpy [J/kg] N/A TPS: Temperature [K], [˚C] P : Pressure [Pa], [bar] S: Specific entropy [J/(kg·K)] N/A N/A TPV: Temperature [K], [˚C] P : Pressure [Pa], [bar] V : Specific volume [m3 /kg] TRPL: Properties at Triple Point A = 0 P0 : Pressure, - KPa A = 0 T0 : Temperature, - K (−273.150 ˚C) N/A TSP: Saturation temperature [K], [˚C] P : Pressure [Pa], [bar] N/A N/A 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)] UPT: Specific internal energy [J/kg] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] UPX: Specific internal energy [J/kg] P : Pressure [Pa], [bar] X: Dryness fraction [-] 4 Valid range of argument(s) Tt ≤ T ≤ Tc P t ≤ P ≤ Pc P t ≤ P ≤ Pc Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax P t ≤ P ≤ Pc 0 ≤ X ≤ 1.0 Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc 0 ≤ X ≤ 1.0 Pt ≤ P ≤ Pmax Pt ≤ P ≤ Pmax HPT(P, Tt ) ≤ H ≤ HPT(P, Tmax ) Pt ≤ P ≤ Pmax SPT(P, Tt ) ≤ S ≤ SPT(P, Tmax ) Pt ≤ P ≤ Pmax VPT(P, Tt ) ≤ V ≤ VPT(P, Tmax ) ’P’ and ’T’ P t ≤ P ≤ Pc P t ≤ P ≤ Pc P t ≤ P ≤ Pc Pt ≤ P ≤ Pmax SPT(P, Tt ) ≤ S ≤ SPT(P, Tmax ) Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax P t ≤ P ≤ Pc 0 ≤ X ≤ 1.0 Function UTD(T ) UTDD(T ) UTX(T, X) VPD(P ) VPDD(P ) VPS(P, S) VPT(P, T ) VPX(P, X) VTD(T ) VTDD(T ) VTX(T, X) WPD(P ) WPDD(P ) WPT(P, T ) WTD(T ) WTDD(T ) XPH(P, H) XPS(P, S) XPU(P, U ) XPV(P, V ) XTH(T, H) XTS(T, S) XTU(T, U ) XTV(T, V ) Return value and Argument(s) 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 [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 [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 [m3 /kg] T : Temperature [K], [˚C] X: Dryness fraction [-] WPD: Sound speed in saturated liquid [m/s] P : Pressure [Pa], [bar] WPDD: Sound speed in saturated vapor [m/s] P : Pressure [Pa], [bar] WPT: Sound speed [m/s] P : Pressure [Pa], [bar] T : Temperature [K], [˚C] WTD: Sound speed in saturated liquid [m/s] T : Temperature [K], [˚C] WTDD: Sound speed in saturated vapor [m/s] T : Temperature [K], [˚C] XPH: Dryness Fraction [-] P : Pressure [Pa], [bar] H: Specific enthalpy [J/kg] XPS: Dryness Fraction [-] P : Pressure [Pa], [bar] S: Specific entropy [J/(kg·K)] XPU: Dryness Fraction [-] P : Pressure [Pa], [bar] U : Specific internal energy [J/kg] XPV: Dryness Fraction [-] P : Pressure [Pa], [bar] V : Specific volume [m3 /kg] XTH: Dryness Fraction [-] T : Temperature [K], [˚C] H: Specific enthalpy [J/kg] XTS: Dryness Fraction [-] T : Temperature [K], [˚C] S: Specific entropy [J/(kg·K)] XTU: Dryness Fraction [-] T : Temperature [K], [˚C] U : Specific internal energy [J/kg] XTV: Dryness Fraction [-] T : Temperature [K], [˚C] V : Specific volume [m3 /kg] 5 Valid range of argument(s) Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc 0 ≤ X ≤ 1.0 P t ≤ P ≤ Pc P t ≤ P ≤ Pc Pt ≤ P ≤ Pmax SPT(P, Tt ) ≤ S ≤ SPT(P, Tmax ) Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax P t ≤ P ≤ Pc 0 ≤ X ≤ 1.0 Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc 0 ≤ X ≤ 1.0 P t ≤ P ≤ Pc P t ≤ P ≤ Pc Pt ≤ P ≤ Pmax Tt ≤ T ≤ Tmax Tt ≤ T ≤ Tc Tt ≤ T ≤ Tc P t ≤ P ≤ Pc HPD(P ) ≤ H ≤ HPDD(P ) P t ≤ P ≤ Pc SPD(P ) ≤ S ≤ SPDD(P ) P t ≤ P ≤ Pc UPD(P ) ≤ U ≤ UPDD(P ) P t ≤ P ≤ Pc VPD(P ) ≤ V ≤ VPDD(P ) Tt ≤ T ≤ Tc HTD(T ) ≤ H ≤ HTDD(T ) Tt ≤ T ≤ Tc STD(T ) ≤ S ≤ STDD(T ) Tt ≤ T ≤ Tc UTD(T ) ≤ U ≤ UTDD(T ) Tt ≤ T ≤ Tc VTD(T ) ≤ V ≤ VTDD(T )
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