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{"sheet":"H2O Functions","index":0,"n_rows":159,"n_cols":13,"rows_kept":159,"cut":false,"hidden":false,"merged":[]}
[null,"Physical Properties for Water"]
[null,"Version 7.0 (WH2Ov70.bas)",null,null,null,"For Educational Use Only!"]
[null,"Report errors to R. L. Smith;  Email: smith@scf.che.tohoku.ac.jp"]
["Hint:  Select green box to see how to use function.  Be careful for units!  First letter of function is dependent variable;  other letters are independent variables; 2=H2O."]
["Example:  VPT2(P,T) is Specific Volume as a function of Pressure and Temperature."]
["       Function units are in kg, m3, C, Pa, J",null,null,null,null,null,null,null,"Ice type densities"]
["Fundamental Constants","Function Name","Examples",null,null,null,null,null,"ice type","rho [kg/m3]"]
["  Tc: critical temperature of H2O (in C)","H2O_TC()",{"$f":"H2O_TC()","v":373.94600000000003},"oC",null,null,null,null,"I",{"$f":"rho_iceI()","v":920}]
["  Pc: critical pressure of H2O    (in Pa)","H2O_PC()",{"$f":"H2O_PC()/1000000","v":22.064},"MPa",null,null,null,null,"II",{"$f":"rho_iceII()","v":1170}]
["  Vc: critical volume of H2O      (m3/kg)","H2O_VC()",{"$f":"H2O_VC()","v":3.105590062111801E-3},"m3/kg",null,null,null,null,"III",{"$f":"rho_iceIII()","v":1140}]
["  rhoc: critical density of H2O     (kg/m3)","H2O_rhoc()",{"$f":"H2O_rhoc()","v":322},"kg/m3",null,null,null,null,"IV",{"$f":"rho_iceIV()","v":1270}]
["  Mw: molecular weight of H2O     (kg/mol)","H2O_MW()",{"$f":"H2O_mw()","v":1.8015268000000001E-2},"kg/mol",null,null,null,null,"V",{"$f":"rho_iceV()","v":1230}]
["  Omega: acentric factor (-)","OMEGA_2()",{"$f":"omega_2()","v":0.34399999999999997},null,null,null,null,null,"VI",{"$f":"rho_iceVI()","v":1310}]
["  Dipole moment:","dipole_2()",{"$f":"dipole_2()","v":1.8},"Debye",null,null,null,null,"VII",{"$f":"rho_iceVII()","v":1500}]
[null,null,null,null,null,null,null,null,"VIII",{"$f":"rho_iceVIII()","v":1460}]
["Solid",null,null,null,null,null,null,null,"IX",{"$f":"rho_iceIX()","v":1160}]
["  Pm:  melting pressure (S-L)",null,"r [kg/m3]","T [K]","T [oC]","P [MPa]","Calculated Value",null,"X",{"$f":"rho_iceX()","v":2510}]
["  Ice I:   251.165 K <= T <= 273.16 K","PMELT_2(\"ice I\",T)  or PM_iceI(T)",null,270,{"$f":"D18-273.15","v":-3.1499999999999773},null,{"$f":"PMELT_2(\"ice I\",E18)/1000000","v":39.962002390340352},"MPa","XI",{"$f":"rho_iceXI()","v":920}]
["  Ice III: 251.165 K <= T <= 256.164 K","PMELT_2(\"ice III\",T) or PM_iceIII(T)",null,254,{"$f":"D19-273.15","v":-19.149999999999977},null,{"$f":"PMELT_2(\"ice III\",E19)/1000000","v":269.4559284581178},"MPa","XII",{"$f":"rho_iceXII()","v":1290}]
["  Ice V: 256.164 K <= T <= 273.31 K","PMELT_2(\"ice V\",T) or PM_iceV(T)",null,268.14999999999998,-5,null,{"$f":"PMELT_2(\"ice V\",E20)/1000000","v":533.69295356940177},"MPa"]
["  Ice VI: 273.31 K <= T <= 355 K","PMELT_2(\"ice VI\",T) or PM_iceVI(T)",null,273.25,0.10000000000002274,null,{"$f":"PMELT_2(\"ice VI\",E21)/1000000","v":631.71390334710975},"MPa","Ice type temperature ranges"]
["  Ice VII: 355 K <= T <= 715 K","PMELT_2(\"ice VII\",T) or PM_iceVII(T)",null,550,276.85000000000002,null,{"$f":"PMELT_2(\"ice VII\",E22)/1000000","v":6308.7142435430196},"MPa","ice type","Tlow [oC]","Thigh [oC]","Tlow [K]","Thigh [K]"]
["  Tm:  melting temperature (S-L) - all forms of ice","TMELT_P2(P)",null,null,null,400,{"$f":"TMELT_P2(F23*1000000)","v":-13.329733853746095},"oC","I",{"$f":"L23-273.15","v":-21.984999999999985},1.0000000000047748E-2,251.16499999999999,273.16000000000003]
["  Psub:  sublimation pressure (S-V)","PSUB_T2(T)",null,250,-23.149999999999977,null,{"$f":"PSUB_T2(E24)/1000000","v":7.6028975429036843E-5},"MPa","III",-21.984999999999985,-16.98599999999999,251.16499999999999,256.16399999999999]
["  Tsub:  sublimation pressure (S-V)","TSUB_P2(P)",null,{"$f":"G25+273.15","v":249.99999999987151},null,7.6028975429036843E-5,{"$f":"TSUB_P2(F25*1000000)","v":-23.150000000128465},"oC","V",-16.98599999999999,0.16000000000002501,256.16399999999999,273.31]
["rho: Density, kg/m3 - all forms of ice","RHO_ICEP2(P)",{"$f":"rho_iceP2(F26*1000000)","v":1500},null,null,2300,null,null,"VI",0.16000000000002501,81.850000000000023,273.31,355]
[null,null,null,null,null,null,null,null,"VII",{"$f":"L27-273.15","v":81.850000000000023},"-",355,"-"]
["Pressure-Volume (density)-Temperature"]
["Based on: Wagner, W., Pruß, A. The IAPWS formulation 1995 for the thermodynamic properties of ordinary water substance for general and scientific use.  Journal of Physical and Chemical Reference Data, 31 (2002) 387-535."]
[null,null,"rho [kg/m3]","T [oC]","P [Pa]","Calculated Value"]
["Saturation Curve: Vapor-liquid Equilibrium"]
["  Psat:  Vapor pressure (saturation pressure), Pa","PSAT_T2(T)",null,1,null,{"$f":"PSAT_T2(D32)/1000000","v":6.5707845813895317E-4},"MPa"]
["  Tsat:  Vapor temperature (saturation temperature), oC","TSAT_P2(P)",null,null,657.07799999999997,{"$f":"TSAT_P2(E33)","v":0.99999032446812419},"oC"]
["  Hvap:  Heat (enthalpy) of vaporization, J/kg","HVAP_T2(T)",null,24.85,null,{"$f":"HVAP_T2(D34)*H2O_mw()","v":43997.786822593451},"J/mol",{"$f":"HVAP_T2(D34)/1000","v":2442.2499194901484},"kJ/kg"]
["  Svap:  Entropy of vaporization, J/kg K","SVAP_T2(T)",null,25,null,{"$f":"SVAP_T2(D35)","v":8190.1509554202548},"J/kg K"]
["dPdT: temperature derivative of Psat, Pa/K","DPDT_T2(T)",null,25,null,{"$f":"DPDT_T2(D36)","v":188.98086111575748},"Pa/K"]
["     Liquid phase (saturated)",null,null,"T [oC]"]
["r: Density, kg/m3","RHOL_T2(T)",null,250,null,{"$f":"rhol_T2(D38)","v":798.98501364153412},"kg/m3"]
["V: specific volume, m3/kg","VL_T2(T)",null,25,null,{"$f":"vl_t2(D39)","v":1.0030096629609947E-3},"m3/kg"]
["H: Enthalpy, H, J/kg","HL_T2(T)",null,25,null,{"$f":"hl_t2(D40)","v":104828.03085324311},"J/kg"]
["U: Internal energy, J/kg","UL_T2(T)",null,25,null,{"$f":"UL_T2(D41)","v":104824.85148865344},"J/kg"]
["S: Entropy, S, J/kg K","SL_T2(T)",null,25,null,{"$f":"SL_T2(D42)","v":367.22081403427336},"J/kg K"]
["Cp: constant pressure heat capacity, J/kg K","CPL_T2(T)",null,25,null,{"$f":"CPL_T2(D43)","v":4181.625178111276},"J/kg K"]
["Cv: constant volume heat capacity, J/kg K","CVL_T2(T)",null,25,null,{"$f":"CVL_T2(D44)","v":4137.9254964140555},"J/kg K"]
["     Gas/vapor phase (saturated)",null,null,"T [oC]"]
["r: Density, kg/m3","RHOG_T2(T)",null,25,null,{"$f":"rhog_T2(D46)","v":2.3073626914440745E-2},"kg/m3"]
["V: specific volume, m3/kg","VG_T2(T)",null,25,null,{"$f":"vg_t2(D47)","v":43.339523678184506},"m3/kg"]
["H: Enthalpy, H, J/kg","HG_T2(T)",null,25,null,{"$f":"HG_T2(D48)","v":2546721.5382117918},"J/kg"]
["U: Internal energy, J/kg","UG_T2(T)",null,25,null,{"$f":"UG_T2(D49)","v":2409342.8548314981},"J/kg"]
["S: Entropy, S, J/kg K","SG_T2(T)",null,25,null,{"$f":"SG_T2(D50)","v":8557.3717694545285},"J/kg K"]
["Cp: constant pressure heat capacity, J/kg K","CPG_T2(T)",null,25,null,{"$f":"CPG_T2(D51)","v":1911.8191296154175},"J/kg K"]
["Cv: constant volume heat capacity, J/kg K","CVG_T2(T)",null,25,null,{"$f":"CVG_T2(D52)","v":1440.4963830657223},"J/kg K"]
["Single Phase Region"]
["Note: U, H, S, Cp, Cv can be used"]
["on the saturation boundary"]
[]
["  T,P functions",null,"rho [kg/m3]","T [oC]","P [Pa]","Calculated Value"]
["    V: specific volume, Wagner eqn., m3/kg","V_TP2(T,P)",null,100,100000000,{"$f":"V_TP2(D58,E58)","v":1.0002382679607756E-3},"m3/kg"]
["    r: Density, kg/m3","RHO_TP2(T,P)",null,400,900000000,{"$f":"rho_tp2(D59,E59)","v":1036.3105674241692},"kg/m3",{"$f":"1/F59","v":9.6496169337110789E-4}]
["    f: fugacity, Pa","FUG_TP2(T,P)",null,300,8000000,{"$f":"fug_tp2(D60,E60)/1000000","v":6.4050871558098228},"MPa"]
["    U: internal energy","U_TP2(T,P)",null,100,100000000,{"$f":"U_TP2(D61,E61)","v":395085.64161478868},"J/kg"]
["    H: Enthalpy, H, J/kg","H_TP2(T,P)",null,100,100000000,{"$f":"H_TP2(D62,E62)","v":495109.46841086663},"J/kg"]
["    S: Entropy, S, J/kg K","S_TP2(T,P)",null,100,100000000,{"$f":"S_TP2(D63,E63)","v":1237.4763214627085},"J/kg K"]
["    Cv: constant volume heat capacity, J/kg K","CV_TP2(T,P)",null,100,100000000,{"$f":"CV_TP2(D64,E64)","v":3636.2685900651277},"J/kg K"]
["    Cp: constant pressure heat capacity, J/kg K","CP_TP2(T,P)",null,100,100000000,{"$f":"cp_tp2(D65,E65)","v":4038.4933440188079},"J/kg K"]
["    w: speed of sound, m/s","W_TP2(T,P)",null,100,100000000,{"$f":"W_TP2(D66,E66)","v":1733.5145653462828},"m/s"]
["  rho,T functions",null,"rho [kg/m3]","T [oC]"]
["     P: pressure, Wagner eqn., Pa","P_RT2(RHO,T)",1065,425,null,{"$f":"P_RT2(C68,D68)/1000000","v":1107.4548250927521},"MPa"]
["     f: fugacity, Pa","FUG_RT2(RHO,T)",1000,25,null,{"$f":"FUG_RT2(C69,D69)/1000000","v":2.3886169736693321E-16},"MPa"]
["    U:  internal energy","U_RT2(RHO,T)",1000,100,null,{"$f":"U_RT2(C70,D70)","v":394957.68872398743},"J/kg"]
["    H: Enthalpy, H, J/kg","H_RT2(RHO,T)",1000,100,null,{"$f":"H_RT2(C71,D71)","v":495602.65083819255},"J/kg"]
["    S: Entropy, S, J/kg K","S_RT2(RHO,T)",1000,100,null,{"$f":"S_RT2(C72,D72)","v":1237.0693631318893},"J/kg K"]
["    Cv: constant volume heat capacity, J/kg K","CV_RT2(RHO,T)",1000,100,null,{"$f":"CV_RT2(C73,D73)","v":3635.5469623094796},"J/kg K"]
["    Cp: constant pressure heat capacity, J/kg K","CP_RT2(RHO,T)",1000,100,null,{"$f":"CP_RT2(C74,D74)","v":4037.6139222900038},"J/kg K"]
["    w: speed of sound, m/s","W_RT2(RHOH,T)",1000,100,null,{"$f":"W_RT2(C75,D75)","v":1734.6173619722283},"m/s"]
["  Virial Coefficients"]
["     B: Second virial coefficient B, m3/kg","VIRIALB_T2(T)",null,25,null,{"$f":"VIRIALB_T2(D77)","v":-1.240872580602671E-3},"m3/kg"]
["     C: Third virial coefficient C, m6/kg2","VIRIALC_T2(T)",null,25,null,{"$f":"VIRIALC_T2(D78)","v":-4.4791929808368141E-6},"m6/kg2"]
["  P,V (or rho) functions",null,"P [Pa]","rho [kg/m3]","V [m3/kg]","Calculated Value"]
["T:single phase temperature at P > Pc","T_PV2(P,V)",900000000,null,9.6496169337110789E-4,{"$f":"T_PV2(C80,E80)","v":399.99999992592564}]
[null,"T_PR2(P,RHO)",28370000,1000,null,{"$f":"T_PR2(C81,D81)","v":49.997123370377146}]
["T:single phase temperature at P < Pc, liquid phase","T_PVL2(P,V)",10000000,null,1E-3,{"$f":"T_PVL2(C82,E82)","v":30.05101140008145}]
[null,"T_PRL2(P,RHO)",38000000,1000,null,{"$f":"T_PRL2(C83,D83)","v":58.188086586014791}]
["T:single phase temperature at P < Pc, gas phase","T_PVG2(P,V)",38000000,null,2E-3,{"$f":"T_PVG2(C84,E84)","v":401.46939707103007}]
[null,"T_PRG2(P,RHO)",38000000,500,null,{"$f":"T_PRG2(C85,D85)","v":401.46939707103007}]
["Functions Useful for Compressors/Pumps/\nExpansions through Valves",null,"S [J/kg K]","P [Pa]","H [J/kg]"]
["  T:  single phase temperature at P, S","T_PS2(P,S)",1237.4763214623842,100000000,null,{"$f":"T_PS2(D87,C87)","v":99.999999999970072},"oC"]
["  T:  single phase temperature at P, H","T_PH2(P,H)",null,100000000,495109.46841125435,{"$f":"t_ph2(D88,E88)","v":100.00000000009618},"oC"]
[]
["  S:  single or mixed phase entropy at P, H","S_PH2(P,H)",null,100000000,495109.46841125435,{"$f":"S_PH2(D90,E90)","v":1510.7308729894028},"J/kg K"]
[null,null,null,"T [oC]","H [J/kg]"]
["  S:  saturation boundary or mixed phase entropy at T, H","S_TH2(P,H)",null,100,495109.46841125435,{"$f":"S_TH2(D92,E92)","v":1510.7308729894557},"J/kg K"]
[null,null,"rho [kg/m3]","T [oC]","P [Pa]","Calculated Value"]
["  Joule-Thomson coefficient mu = (dT/dP)h","JT_RT2(RHO,T)",1000,100,null,{"$f":"JT_RT2(C94,D94)*1000000","v":-0.14964318277315627},"K/MPa"]
["  Isothermal throttling coefficient delt = (dh/dP)T","DELT_RT2(RHO,T)",1000,100,null,{"$f":"DELT_RT2(C95,D95)","v":7.6467680173629199E-4},"J/kg Pa"]
["  Isentropic temperature pressure coefficient bs = (dT/dP)s","BETAS_RT2(RHO,T)",1000,100,null,{"$f":"BETAS_RT2(C96,D96)*1000000","v":5.8282738962382112E-2},"K/MPa"]
[]
["Two Phase Region",null,"State","P [Pa]","H [J/kg]","X [-]"]
["     Quality X_PH2(P,H)","X_PH2(P,H)","I",101418,3500000,{"$f":"X_PH2(D99,E99)","v":1},"T",100,"C"]
[null,null,"II",101418,400000,{"$f":"X_PH2(D100,E100)","v":0},"HL",{"$f":"hl_t2(H99)","v":419162.83483193163},"J/kg"]
[null,null,"III",101418,2500000,{"$f":"X_PH2(D101,E101)","v":0.9221126220780641},"HG",{"$f":"HG_T2(H99)","v":2675760.4697580645},"J/kg"]
[null,null,null,null,null,null,"Psat",{"$f":"PSAT_T2(H99)","v":101417.99381792783},"Pa"]
[null,null,null,"P [Pa]","S [J/kg K]"]
["     Quality X_PS2(P,H)","X_PS2(P,S)","I",101418,1307.2,{"$f":"X_PS2(D104,E104)","v":0},"T",100,"C"]
[null,null,"II",101418,7354.6,{"$f":"X_PS2(D105,E105)","v":0.99999502393921424},"SL",{"$f":"SL_T2(H104)","v":1307.2024431909224},"J/(kg K)"]
[null,null,"III",101418,5000,{"$f":"X_PS2(D106,E106)","v":0.61063939306499126},"SG",{"$f":"SG_T2(H104)","v":7354.6301128308342},"J/(kg K)"]
[null,null,null,null,null,null,"Psat",{"$f":"PSAT_T2(H104)","v":101417.99381792783},"Pa"]
["Derivative Properties"]
["  T,P functions",null,"rho [kg/m3]","T [oC]","P [Pa]","Calculated Value"]
["     dP/dT derivative","DPDT_TP2(T, P)",null,100,100000000,{"$f":"DPDT_TP2(D110, E110)/1000000","v":1.7073988903120862},"MPa/K"]
["     dP/drho derivative = (dP/drho)T","DPDR_TP2(T,P)",null,100,100000000,{"$f":"DPDR_TP2(D111,E111)/1000000","v":2.7057743357607187},"MPa/(kg/m3)"]
["     drho/dT derivative = (drho/dT)P","DRDT_TP2(T,P)",null,100,100000000,{"$f":"DRDT_TP2(D112,E112)","v":-0.63102043202433489},"(kg/m3 K)"]
["     Isothermal compressibility = (1/rho)*(drho/dP)T","BETAT_TP2(T,P)",null,100,100000000,{"$f":"BETAT_TP2(D113,E113)*1000000","v":3.6966802986530736E-4},"1/MPa"]
["     Volume coefficient of expansion =  (1/V)*(dV/dT)P","BETAP_TP2(T,P)",null,100,100000000,{"$f":"BETAP_TP2(D114,E114)","v":6.3117078397588108E-4},"1/K"]
["  rho,T functions",null,"rho [kg/m3]","T [oC]","P [Pa]"]
["     dP/dT derivative","DPDT_RT2(RHO,T)",1000,100,null,{"$f":"DPDT_RT2(C116,D116)/1000000","v":1.708573412851373},"MPa/K"]
["     dP/drho derivative = (dP/drho)T","DPDR_RT2(RHO,T)",1000,100,null,{"$f":"DPDR_RT2(C117,D117)/1000000","v":2.7092703724476555},"MPa/(kg/m3)"]
["     drho/dT derivative = (drho/dT)P (derived)","DRDT_RT2(RHO,T)",1000,100,null,{"$f":"DRDT_RT2(C118,D118)","v":-0.63063968447998942},"(kg/m3 K)"]
["     Isothermal compressibility = -(1/V)*(dV/dP)T","BETAT_RT2(RHO,T)",1000,25,null,{"$f":"BETAT_RT2(C119,D119)*1000000","v":4.4490813926611328E-4},"1/MPa"]
["     Volume coefficient of expansion =  -(1/V)*(dV/dT)P","BETAP_RT2(RHO,T)",1000,25,null,{"$f":"BETAP_RT2(C120,D120)","v":2.6456307885007636E-4},"1/K"]
["Transport Properties"]
["Based on Sengers, et al. (1984)"]
["     Liquid phase (saturated)",null,null,"T [oC]",null,"Calculated Value"]
["               Viscosity, Pa s","VMUL_T2(T)",null,25,null,{"$f":"vmul_t2(D124)","v":8.9082797424595687E-4},"Pa s"]
["               Kinematic viscosity (dense gas),  (=mu/rho),  m2/s  ","VNUL_T2(T)",null,25,null,{"$f":"vnul_t2(D125)","v":8.9350906620466281E-7},"m2/s"]
["               Surface tension, N/m","SIGMA_T2(T)",null,25,null,{"$f":"SIGMA_T2(D126)","v":7.1972205230229638E-2},"N/m"]
["     Gas/vapor phase (saturated)"]
["               Viscosity, Pa s","VMUG_T2(T)",null,25,null,{"$f":"vmug_t2(D128)","v":9.8665196270450194E-6},"Pa s"]
["               Kinematic viscosity (dense gas),  (=mu/rho),  m2/s  ","VNUG_T2(T) (N/A)",null,null,null,null,"m2/s"]
["               Ideal gas thermal conductivity, W/(m K)","KID_T2(T) (N/A)",null,null,null,null,"W/(m K)"]
["     Single Phase (Gas/vapor) Region"]
["          T,P functions",null,"rho [kg/m3]","T [oC]","P [Pa]","Calculated Value"]
["               Viscosity (dense gas), Pa s","VMU_TP2(T,P)",null,100,100000000,{"$f":"VMU_TP2(D133,E133)","v":3.0875414932304336E-4},"Pa s"]
["               Kinematic viscosity (dense gas),  (=mu/rho),  m2/s  ","VNU_TP2(T,P)",null,100,100000000,{"$f":"vnu_tp2(D134,E134)","v":3.088277155445836E-7},"m3/s"]
["               Thermal conductivity (dense gas), W/(m K)","k_TP2(T,P)",null,100,100000000,{"$f":"k_TP2(D135,E135)","v":0.73428879686693693},"W/(m K)"]
["         rho,T functions",null,"rho [kg/m3]","T [oC]"]
["               Viscosity (dense gas), Pa s","VMU_RT2(RHO,T)",1000,100,null,{"$f":"vmu_rt2(C137,D137)","v":3.0892639793326918E-4},"Pa s"]
["               Kinematic viscosity (dense gas),  (=mu/rho),  m2/s  ","VNU_RT2(RHO,T)",1000,100,null,{"$f":"VNU_RT2(C138,D138)","v":3.0892639793326917E-7},"m2/s"]
["               Thermal conductivity (dense gas), W/(m K)","k_RT2(RHO,T)",1000,100,null,{"$f":"k_RT2(C139,D139)","v":0.73461653352258693},"W/(m K)"]
["Other properties",null,"rho [kg/m3]","T [oC]","P [Pa]"]
["     Dielectric constant (IAPWS, 1997)","EPS_RT2(RHO,T)",1000,25,null,{"$f":"eps_rt2(C141,D141)","v":78.653707057482194}]
[null,"EPS_TP2(T,P)",null,25,{"$f":"P_RT2(C141,D141)","v":6691367.4540531319},{"$f":"eps_tp2(D142,E142)","v":78.653707057482151}]
["     Dielectric constant (Uematsu and Franck, 1980)","UEPS_RT2(RHO,T)",1000,25,null,{"$f":"ueps_rt2(C143,D143)","v":78.713509999999985}]
[null,"UEPS_TP2(T,P)",null,25,{"$f":"P_RT2(C143,D143)","v":6691367.4540531319},{"$f":"ueps_tp2(D144,E144)","v":78.713509999999928}]
["     Ionization constant of water (IAPWS, 2007)","pKW_RT2(RHO,T)",820.92404519791762,250,null,{"$f":"pkw_rt2(C145,D145)","v":11.050059440090227}]
[null,"pKW_TP2(T,P)",null,250,{"$f":"P_RT2(C145,D145)","v":25000000.01094291},{"$f":"pkw_tp2(D146,E146)","v":11.050059440090227}]
["     Ion Product (Marshall and Franck, 1980)-replaced by","MFKW_RT2(RHO,T)",820.92404519791762,250,null,{"$f":"mfkw_rt2(C147,D147)","v":9.5535595241532022E-12}]
["          ionization constant of water formulation","MFKW_TP2(T,P)",null,250,{"$f":"P_RT2(C147,D147)","v":25000000.01094291},{"$f":"mfkw_tp2(D148,E148)","v":9.5535595241531246E-12}]
["     Kirkwood g-factor (IAPWS 1997)","GK_RT2(RHO,T)",1000,25,null,{"$f":"gk_rt2(C149,D149)","v":3.5560035273240405}]
[null,"GK_TP2(T,P)",null,25,{"$f":"P_RT2(C149,D149)","v":6691367.4540531319},{"$f":"gk_tp2(D150,E150)","v":3.5560035273240409}]
["     Refractive Index (IAPWS 1997) = func (wavelength,rho,T)","NL_RT2(RHO,T)",1000,25,null,{"$f":"nl_rt2(0.58926,C151,D151)","v":1.333821739018594}]
["(wavelength in micrometers = 0.58926 for sodium D-line","NL_TP2(T,P)",null,25,{"$f":"P_RT2(C151,D151)","v":6691367.4540531319},{"$f":"nl_tp2(0.58926,D152,E152)","v":1.3338217390185938}]
["     Self-Diffusion Coefficient (Lamb, et al., 1981)","DSELF_RT2(RHO,T)",500,400,null,{"$f":"dself_rt2(C153,D153)","v":6.4435819405642764E-11},"m2/s"]
[null,"DSELF_TP2(T,P)",null,400,{"$f":"P_RT2(C153,D153)","v":37241645.283586569},{"$f":"dself_tp2(D154,E154)","v":6.443581940564279E-11},"m2/s"]
["     Electrical conductivity (IAPWS 1990)","EC_RT2(RHO,T)",1000,25,null,{"$f":"ec_rt2(C155,D155)","v":5.6717327832137101E-6},"S/m"]
[null,"EC_TP2(T,P)",null,25,{"$f":"P_RT2(C155,D155)","v":6691367.4540531319},{"$f":"ec_tp2(D156,E156)","v":5.6717327832136737E-6},"S/m"]
["Function in the Density Model (Mesmer, 1985)",null,"rho [kg/m3]","T [oC]","P [Pa]"]
["     Derivative of the volume coefficient function betaP with T","DBETAP_RT2(RHO, T)",1000,100,null,{"$f":"dbetap_rt2(C158,D158)","v":3.2509557656014258E-6}]
["     Derivative of the volume coefficient function betaP with T","DBETAP_TP2(T, P)",null,100,100000000,{"$f":"dbetap_tp2(D159,E159)","v":3.2602823437938994E-6}]

{"sheet":"Example","index":1,"n_rows":122,"n_cols":10,"rows_kept":122,"cut":false,"hidden":false,"merged":[]}
[]
[]
[]
[null,null,"Input Field"]
[null,null,"Calculation Field",null,"Example of using the rho_tp2(TinC,PinPa) function"]
[null,null,"Solver Field"]
[null,null,"Vector function",null,null,null,null,null,"Curve label:",{"$f":"CONCATENATE(F8,\" C\")","v":"380 C"}]
[null,null,"Note Field",null,"T [C]",380]
[null,null,"Optional/Disregard",null,"P [MPa]","rho [kg/m3]"]
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