PropertiesX Steam TablesExcel macros, IF-97 Steam tables.The excel scripts are stored inside this workbook. A complete list of functions for use is available on the "Calling functions" worksheetBy: Magnus HolmgrenThe steam tables are free and provided as is. We take no responsibilities for any errors in the code or damage thereby.www.x-eng.comOBS: This workbook uses macros. Set security options in Tools:Macro:Security to enable macros.Saturation properties given temperatureSaturation properties given pressureTemperature120.00CPressure12.570bar aSaturation pressure1.987bar aSaturation temperature190.07CLiquidLiquidEnthalpy503.8kJ/kgEnthalpy807.9kJ/kgDensity943.11kg/m3Density876.00kg/m3Entropy1.53kJ/kgKEntropy2.24kJ/kgKVapourVapourVapour enthalpy2705.9kJ/kgVapour enthalpy2785.4kJ/kgVapour density1.12kg/m3Vapour density6.40kg/m3Vapour Entropy7.13kJ/kgKvapour Entropy6.51kJ/kgKEvaporation energy2202.1kJ/kgEvaporation energy1977.5kJ/kgProperties given pressure and temperatureProperties given pressure and enthalpyPressure1.00bar aPressure12.57bar aTemperature100.00CEnthalpy2788.00kJ/kgEnthalpy2675.8kJ/kgTemperature191.0CDensity0.59kg/m3Density6.39kg/m3Entropy7.36kJ/kgKEntropy6.51kJ/kgKVapour fraction100%Vapour fraction100%IF97 Region2IF97 Region2PhaseSteamPhaseSteamIsobaric heat capacity2.0741085546kJ/kgIsobaric heat capacity2.8194794225kJ/kgSpeed of sound472.3375235249m/sSpeed of sound503.5512171421m/s

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FunctionsX Steam Tablesv2.6http://www.x-eng.comSteam tables by Magnus Holmgren according to IAPWS IF-97The excel scripts are stored inside this workbook. (No extra files are needed. Start from a copy of this workbook. This page can be removed)For error-reporting, feedback, other units etc. contact:magnus@x-eng.comThe steam tables are free and provided as is. We take no responsibilities for any errors in the code or damage thereby.OBS: This workbook uses macros. Set security options in Tools:Macro:Security to enable macros.TemperatureTsat_p1bar99.6059186113CSaturation temperatureT_ph1bar100kJ/kg23.8448190753CTemperture as a function of pressure and enthalpyT_ps1bar1kJ/(kg K)73.7085942144CTemperture as a function of pressure and entropyT_hs100kJ/kg0.2kJ/(kg K)13.8493351119CTemperture as a function of enthalpy and entropyPressurepsat_T100C1.0141797792barSaturation pressurep_hs84kJ/kg0.296kJ/(kg K)2.2954982693barPressure as a function of h and s.p_hrho2000kJ/kg5kg/m36.0464690305barPressure as a function of h and rho (density). Very unaccurate for solid water region since it's almost incompressible!EnthalpyhV_p1bar2674.9496408322kJ/kgSaturated vapour enthalpyhL_p1bar417.4364858162kJ/kgSaturated liquid enthalpyhV_T100C2675.5720292208kJ/kgSaturated vapour enthalpyhL_T100C419.0991549977kJ/kgSaturated liquid enthalpyh_pT1bar20C84.0118111671kJ/kgEntalpy as a function of pressure and temperature.h_ps1bar1kJ/(kg K)308.6107170829kJ/kgEntalpy as a function of pressure and entropy.h_px1bar0.51546.1930633242kJ/kgEntalpy as a function of pressure and vapour fractionh_Tx100C0.51547.3355921093kJ/kgEntalpy as a function of temperature and vapour fractionh_prho1bar2kg/m31082.77339076kJ/kgEntalpy as a function of pressure and density. Observe for low temperatures (liquid) this equation has 2 solutions. (Not valid!!)Specific volumevV_p1bar1.6940225229m3/kgSaturated vapour volumevL_p1bar0.0010431478m3/kgSaturated liquid volumevV_T100C1.6718606011m3/kgSaturated vapour volumevL_T100C0.0010434555m3/kgSaturated liquid volumev_pT1bar100C1.6959594074m3/kgSpecific volume as a function of pressure and temperature.v_ph1bar1000kJ/kg0.4379256581m3/kgSpecific volume as a function of pressure and enthalpyv_ps1bar5kJ/(kg K)1.0346353902m3/kgSpecific volume as a function of pressure and entropy.DensityrhoV_p1bar0.5903109235kg/m3Saturated vapour densityrhoL_p1bar958.636889676kg/m3Saturated liquid densityrhoV_T100C0.5981359925kg/m3Saturated vapour densityrhoL_T100C958.3542772859kg/m3Saturated liquid densityrho_pT1bar100C0.5896367541kg/m3Density as a function of pressure and temperature.rho_ph1bar1000kJ/kg2.2834926007kg/m3Density as a function of pressure and enthalpyrho_ps1bar1kJ/(kg K)975.6236788482kg/m3Density as a function of pressure and entropy.Specific entropysV_p0.006117bar9.1554655557kJ/(kg K)Saturated vapour entropysL_p0.0061171bar0.000018359kJ/(kg K)Saturated liquid entropysV_T0.0001C9.1557567159kJ/(kg K)Saturated vapour entropysL_T100C1.3070143278kJ/(kg K)Saturated liquid entropys_pT1bar20C0.2964829208kJ/(kg K)Specific entropy as a function of pressure and temperature (Returns saturated vapour entalpy if mixture.)s_ph1bar84.0118111671kJ/kg0.2968138447kJ/(kg K)Specific entropy as a function of pressure and enthalpySpecific internal energyuV_p1bar2505.5473885419kJ/kgSaturated vapour internal energyuL_p1bar417.3321710323kJ/kgSaturated liquid internal energyuV_T100C2506.0153076916kJ/kgSaturated vapour internal energyuL_T100C418.9933298552kJ/kgSaturated liquid internal energyu_pT1bar100C2506.171426466kJ/kgSpecific internal energy as a function of pressure and temperature.u_ph1bar1000kJ/kg956.207434187kJ/kgSpecific internal energy as a function of pressure and enthalpyu_ps1bar1kJ/(kg K)308.5082185457kJ/kgSpecific internal energy as a function of pressure and entropy.Specific isobaric heat capacityCpV_p1bar2.0759380252kJ/(kgC)Saturated vapour heat capacityCpL_p1bar4.2161494308kJ/(kgC)Saturated liquid heat capacityCpV_T100C2.0774918685kJ/(kgC)Saturated vapour heat capacityCpL_T100C4.2166451189kJ/(kgC)Saturated liquid heat capacityCp_pT1bar100C2.0741085546kJ/(kgC)Specific isobaric heat capacity as a function of pressure and temperature.Cp_ph1bar200kJ/kg4.1791357317kJ/(kgC)Specific isobaric heat capacity as a function of pressure and enthalpyCp_ps1bar1kJ/(kg K)4.1906070379kJ/(kgC)Specific isobaric heat capacity as a function of pressure and entropy.Specific isochoric heat capacityCvV_p1bar1.5526969793kJ/(kgC)Saturated vapour isochoric heat capacityCvL_p1bar3.7696996827kJ/(kgC)Saturated liquid isochoric heat capacityCvV_T100C1.553698696kJ/(kgC)Saturated vapour isochoric heat capacityCvL_T100C3.7677002201kJ/(kgC)Saturated liquid isochoric heat capacityCv_pT1bar100C1.5513972495kJ/(kgC)Specific isochoric heat capacity as a function of pressure and temperature.Cv_ph1bar200kJ/kg4.0351763636kJ/(kgC)Specific isochoric heat capacity as a function of pressure and enthalpyCv_ps1bar1kJ/(kg K)3.9029194681kJ/(kgC)Specific isochoric heat capacity as a function of pressure and entropy.Speed of soundwV_p1bar472.054157106m/sSaturated vapour speed of soundwL_p1bar1545.451947534m/sSaturated liquid speed of soundwV_T100C472.2559492389m/sSaturated vapour speed of soundwL_T100C1545.0922491939m/sSaturated liquid speed of soundw_pT1bar100C472.3375235249m/sSpeed of sound as a function of pressure and temperature.w_ph1bar200kJ/kg1542.6824750115m/sSpeed of sound as a function of pressure and enthalpyw_ps1bar1kJ/(kg K)1557.8585355322m/sSpeed of sound as a function of pressure and entropy.Dynamic ViscosityViscosity is not part of IAPWS Steam IF97. Equations from "Revised Release on the IAPWS Formulation 1985 for the Viscosity of Ordinary Water Substance", 2003 are used.Viscosity in the mixed region (4) is interpolated according to the density. This is not true since it will be two fases.my_pT1bar100C0.0000122704Pa sViscosity as a function of pressure and temperature.my_ph1bar100kJ/kg9.1400E-04Pa sViscosity as a function of pressure and enthalpymy_ps1bar1kJ/(kg K)3.8422E-04Pa sViscosity as a function of pressure and entropy.PrandtlCalcualted as Cp*my/tcpr_pT1bar200C9.5781E-01-pr_ph1bar2875.4750649489kJ/kg9.5781E-01-Thermal ConductivityRevised release on the IAPS Formulation 1985 for the Thermal Conductivity of ordinary water substance (IAPWS 1998)tcL_p100bar0.5245401946W/(m K)Saturated vapour thermal conductivitytcV_p1bar0.0247536676W/(m K)Saturated liquid thermal conductivitytcL_T100C0.6777575116W/(m K)Saturated vapour thermal conductivitytcV_T100C0.0247938714W/(m K)Saturated liquid thermal conductivitytc_pT100bar350C0.0685453038W/(m K)Thermal conductivity as a function of pressure and temperature.tc_ph1bar350kJ/(kg K)0.6692963322W/(m K)Thermal conductivity as a function of pressure and enthalpytc_hs100kJ/(kg K)0.34kJ/(kg K)0.6062831238W/(m K)Thermal conductivity as a function of enthalpy and entropySurface TensionIAPWS Release on Surface Tension of Ordinary Water Substance, September 1994st_T100C0.0755076616N/mSurface tension for two phase water/steam as a function of Tst_p1bar0.0589877842N/mSurface tension for two phase water/steam as a function of TVapour fractionx_ph1bar1000kJ/kg0.2580554239Vapour fraction as a function of pressure and enthalpyx_ps1bar4kJ/(kg K)0.4453979607Vapour fraction as a function of pressure and entropy.Vapour Volume FractionObserve that vapour volume fraction is very sensitive. Vapour volume is about 1000 times greater than liquid volume and therfore vapour volume fractiongets close to the accurancy of steam IF-97vx_ph1bar418kJ/kg0.2885Vapour volume fraction as a function of pressure and enthalpyvx_ps1bar4kJ/(kg K)0.9992Vapour volume fraction as a function of pressure and entropy.Version historyNews in V2.6* Error in valid region for function tc_ptrho* Error in function h3_pt for temperatures near the saturation point.News in V2.5* DLL distrubution for use in other applications* Freebasic translation* Fixed small error in Cv Region 5 p>1000barNews in V2.4a* ToSIUnit for h_ps region 4. (No effect in SI unit version).News in V2.4* Functions by p,rho inplemented in matlab also.* Many missing ; in matlab causing printouts detected.* OpenOffice version introduced. (Fixed calculation differences in open office and excel)* Matlab error giving varaible undefined in some backwards solutions fixed.News in V2.3* Option Explicit, gives more efficient calculations.* Extensive testing* my_ph not defined in region 4.* Problems at region border for h4V_p to adress solver problems at the exact border.* Problem at fast border check in region_ph fixed.News in V2.2* Extensive testing* Fixed error in Cp_ph* Function p_hrho added. (Very good for calcualting pressure when heating a volume with water/steam mixture.)* Fixed error in T_hs return no value for vet region bellow the water saturation line.* Prandtl number addedNews in V2.1* Calling function h_prho* Fixed problem with Cv reporting NaN in region 5.* Equivivalent to the Matlab version. (Downloadable from www.x-eng.com)News in V2* Calling functions of h and s added.* Thermal conductivity, Surface tension added* Calling functions h_px and h_tx added.* Cp, Cv and w undefined in the mixed region. (Before interpolation with the vapor fraction was used.)* A work sheet "Properties" for simple lookups added.

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Sheet1Tema1p1'=4.1bar*m2=102.7777777778kg/s*t1'=152C*t1s=144.52C*h1'=2756.4660608835kJ/kgr=0.987*p2'=7.8bar*t2'=106C*h2'=444.9229082752kJ/kgp1"=4.1bar*t1"=112.5C*h1"=472.1363563648kJ/kgp2"=7.8bar*t2"=137C*h2"=576.6272007439kJ/kgm1=6.0037584795kg/sh1s=608.6279698484kJ/kgh2x=452.7924077376kJ/kgt2x=107.8667551514Ctmax=36.6532448486Ctmed=18.3929452403Ctmin=7.52Ct1c=t1s=144.52Ct2c=126.1270547597CTema 22=938.0867743018kg/m3w2=1.5m/sde=25mms=35mm=2mmdi=21mmnt=210.88211*n=7n=436Deci n=(z1;z2)z1=367*z2=439*D'/s=20*D'/s=22*D'=700mmD'=770mmne1=11*ne2=12*nd1=21nd2=23nr1=346nr2=416nt1r=173nt2r=208w2,1r=1.8284438846m/sw2,2r=1.5207730386m/sw2fr=1.52m/s*u=8mml=5mDc=811mmtp1'=138.79Ctp1''=140.79Ctm1'=141.655Ctm1''=142.655Ccp1'=4.2898315198kJ/kgKcp1''=4.2921629037KJ/kgK1'=924.6512675252kg/m31''=923.7508798271kg/m31'=0.6847765809W/mK1''=0.6847062528W/mK1'=2.10E-07m2/s1''=2.08E-07m2/s1'=0.0001940735Pa s1''=0.0001926045Pa sGa1'=27837928134054200Ga1''=28210355672000300Pr1'=1.2157248542Pr1''=1.2073234662K1'=87.3789219594K1''=134.1579803376GaPrK=29571876723799000004569289924811940000Nu1'=97604.2079937981Nu1''=112838.8066276921'=13367.4151669239W/m2 K1''=15452.2872903344W/m2Kql1'=6015.7799232041W/mql1''4526.8018756781W/mp=52.335W/m Ktp2'=135.6002971099Ctp2''=138.3897870251Ccp2'=4.2559479503kJ/kgKcp2''=4.2559479503kJ/kgK2'=938.3629001741kg/m32''=938.3629001741kg/m32'=0.6847981004W/mK2''=0.6847981004W/mK2'=2.19E-07m2/s2''=2.15E-07m2/s2'=0.0002200881Pa s2''=0.0002200881Pa sPrf2'=1.3678245357Prf2''=1.3678245357Re2'=145926.670933528Re2''=145926.670933528Nu2'=331.2005705627Nu2''=332.9005606579Prp2'=1.2698326621Prp2''=1.24409255862'=10800.26293228W/m2K2''=10855.6986459881W/m2Kql2'=6749.9746804371W/mql2''8782.4198002802W/mql=6325W/m*6015.774526.8tp=138.38C*6749.978782.42138.79140.79kl=343.881848033W/mKQ2=12727.4648367522KWL=2012.2474050201ml=4.8371331851mks=5212.4281860976W/m2KSc=132.7548949611m2Tema 3tmax=36.6532448486Ctmin=6.5Ctmed,r=17.4326464824Ct2r=106.9333775757Ct1r=124.3660240581Cde=20mm=1.5mms=30mmk=8mmn=5w1=0.3m/sdi=17mm1=939.6384295641kg/m3nt=93.832538102894n=198z1=187z2=241D'/s=14D'/s=16D'=420mmD'=480mmne1=8ne2=9nd1=15nd2=17nr1=172nr2=224nt1,r=86nt2,r=112w1I,r=0.3273228073w1II,r=0.2513371556w1f,r=0.327322807m/sDi=456mm=10mmSt2=0.0523585794m22=953.26769405kg/m3w2=2.0591903445m/s1=0.0000002377m2/sPrf1=1.38820083671=0.0002233504Pa sRe1=23409.8838655783Nu1=75.682103081=0.6842666159W/mK1a=3046.278621086W/m2KP2=6.5658224892mdh2=0.0318976515m2=0.0000002755m2/s2=0.0002626499Pa sRe2=238392.593230244Prf2=1.6299940025Nu2=519.1507476848Pt2=5.4035393642mdt2=0.038758729m2=0.6803266599W/mK2a=9112.5819517682W/m2KIteratia 1Iteratia 2ks=2142.8451816468W/m2Kqs=37355.4625181006W/m2qs=36722.2127548128W/m2tp1=112.1033694671Ctp1=111.9751947027Ctp2=111.0327055945Ctp2=110.9226807229CPrp1=1.5495904331Prp1=1.5514901665Prp2=1.565397311Prp2=1.5670624503t1=0.9728790331t1=0.9725810841t2=1.0101604379t2=1.00989198521=2963.6605994383W/m2K1=2962.7529636541W/m2K2=9205.1697751472W/m2K2=9202.7234780116W/m2Kks1=2106.5196722682W/m2Kks1=2105.933004094W/m21=1.6951999001%2=0.0278501161%Q2r=808.8096669737kWSr=22.0312155359m2kl=112.4717221284W/mKql=1960.6797711285W/mL=412.5149241011ml=2.398342582mtema 4Consensatie ag primarpab=2.0206847984Pa0.0000202068bar1=0.4517809114m3/kgC=0.024Condensatie ag secundark=0.25mmRe2=47040Re1=840f=0.040Prf=1.3678245357tmp=136.9950420675CPrp=1.2567986857ft=0.0390486397L=9.6742663703mplin=12850.9396211296Pa0.1285093962bari=6ploc=6510.5981797358Pa0.0651059818barp=19361.5378008654Pa0.193615378barSubracire ag primari=6.5f=0.0437679274tm1=139.79CPrp=1.2318057644ft=0.0420583882L=4.796685164mplin=501.7856090111Pa0.0050178561barploc=274.8442406475Pa0.0027484424barp=776.6298496586Pa0.0077662985barAg secundari=7f=0.0432926056ft=0.0396984571plin=12065.1853784368Pa0.1206518538barploc=14147.3763184382Pa0.1414737632barp=26212.5616968751Pa0.262125617barTema 5r=0.987h10=100kJ/kgtd=0.8487341327cp1=2.3478279561kJ/kg Kcp2=4.3673722417kJ/kg KC1=241.3045399359kW/KC2=26.2206481293kW/KCmin=7.9024423146PR=rac=0.8586956522P=t=inc=0.6739130435NTC1=2.8676433378NTC2=1.7694552663psp,1=psp,2=e1'=893.8233017765s1'=6.81912048e1''=-1497.3233528954s1''=7.2101764937e2'=-1544.5818592721s2'=7.2835612943e2''=-1323.9151372129s2''=6.9578705398ex=1.5798164832

Sheet1

Sheet2