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{"sheet":"EcoCute-II","index":0,"n_rows":318,"n_cols":31,"rows_kept":318,"cut":false,"hidden":false,"merged":[]}
[null,null,null,null,null,null,null,null,null,"EcoCute Energy Requirements (Vapor CO2 feed)"]
[null,null,null,null,null,null,null,null,null,"based the Wagner Equation of State-version 7.0.  ",null,null,null,"Report errors to R.L.Smith. Email: smith@scf.che.tohoku.ac.jp"]
["Based on: R. Span and W. Wagner, A New Equation of State for Carbon Dioxide Covering ",null,null,null,null,null,null,null,null,null,"Tohoku University, Version 1.1"]
["the Fluid Regionfrom the Triple-Point Temperature to 1100 K"]
[" at Pressures up to 800 MPa,",null,null,null,null,null,"Point","T [C]","P [MPa]","H [kJ/kg]","X","S [kJ/kg K]","rho [kg/m3]","Comments","HL [kJ/kg]","HG [kJ/kg]","rhoL [kg/m3]","rhoG [kg/m3]","S [kJ/kg K]","S [kJ/kg K]"]
["J. Phys. Chem. Ref. Data 25(6), 1509-1596 (1996).",null,null,null,null,null,1,-20,{"$f":"psat_T1(H6)/1000000","v":1.9695918739568945},{"$f":"h_tp1(H6,I6*1000000)/1000","v":436.88924743356762},{"$f":"IF(AND(J6>O6,J6<P6),(J6-O6)/(P6-O6),1)","v":1},{"$f":"s_tp1(H6,I6*1000000)/1000","v":1.9485258643173646},{"$f":"IF(K6<1,K6*R6+(1-K6)*Q6,rho_tp1(H6,I6*1000000))","v":51.698259501738313},"saturated vapor",{"$f":"IF(H6<CO2_TC(),hl_t1(H6)/1000,h_tp1(H6,I6*1000000)/1000)","v":154.44526372057317},{"$f":"IF(H6<CO2_TC(),hg_t1(H6)/1000,h_tp1(H6,I6*1000000)/1000)","v":436.88740130626877},{"$f":"IF(H6<CO2_TC(),rhol_t1(H6),rho_tp1(H6,I6*1000000))","v":1031.6599450977053},{"$f":"IF(H6<CO2_TC(),rhog_t1(H6),rho_tp1(H6,I6*1000000))","v":51.701125866225325},{"$f":"IF(H6<CO2_TC(),sl_t1(H6)/1000,s_tp1(H6,I6*1000000)/1000)","v":0.83280464660744635},{"$f":"IF(H6<CO2_TC(),sg_t1(H6)/1000,s_tp1(H6,I6*1000000)/1000)","v":1.9485122985474184}]
[null,null,null,null,null,null,2,{"$f":"t_ps1(I7*1000000,L7*1000)","v":121.04135318479874},12,{"$f":"h_tp1(H7,I7*1000000)/1000","v":521.23786950540477},{"$f":"IF(AND(J7>O7,J7<P7),(J7-O7)/(P7-O7),1)","v":1},{"$f":"L6","v":1.9485258643173646},{"$f":"rho_tp1(H7,I7*1000000)","v":208.98267894185477},"supercritical fluid state-hot CO2",{"$f":"IF(H7<CO2_TC(),hl_t1(H7)/1000,h_tp1(H7,I7*1000000)/1000)","v":521.23786950540477},{"$f":"IF(H7<CO2_TC(),hg_t1(H7)/1000,h_tp1(H7,I7*1000000)/1000)","v":521.23786950540477},{"$f":"IF(H7<CO2_TC(),rhol_t1(H7),rho_tp1(H7,I7*1000000))","v":208.98267894185477},{"$f":"IF(H7<CO2_TC(),rhog_t1(H7),rho_tp1(H7,I7*1000000))","v":208.98267894185477},{"$f":"IF(H7<CO2_TC(),sl_t1(H7)/1000,s_tp1(H7,I7*1000000)/1000)","v":1.9485258643173642},{"$f":"IF(H7<CO2_TC(),sg_t1(H7)/1000,s_tp1(H7,I7*1000000)/1000)","v":1.9485258643173642}]
[null,null,null,null,null,null,3,20,{"$f":"I7","v":12},{"$f":"h_tp1(H8,I8*1000000)/1000","v":239.81315062194852},{"$f":"IF(AND(J8>O8,J8<P8),(J8-O8)/(P8-O8),1)","v":1},{"$f":"s_tp1(H8,I8*1000000)/1000","v":1.1073523466992319},{"$f":"rho_tp1(H8,I8*1000000)","v":878.10019042244903},"After heat exchange- cool CO2",{"$f":"IF(H8<CO2_TC(),hl_t1(H8)/1000,h_tp1(H8,I8*1000000)/1000)","v":255.86455622977175},{"$f":"IF(H8<CO2_TC(),hg_t1(H8)/1000,h_tp1(H8,I8*1000000)/1000)","v":407.8612455853862},{"$f":"IF(H8<CO2_TC(),rhol_t1(H8),rho_tp1(H8,I8*1000000))","v":773.39218908723944},{"$f":"IF(H8<CO2_TC(),rhog_t1(H8),rho_tp1(H8,I8*1000000))","v":194.2042035960207},{"$f":"IF(H8<CO2_TC(),sl_t1(H8)/1000,s_tp1(H8,I8*1000000)/1000)","v":1.1877051990959793},{"$f":"IF(H8<CO2_TC(),sg_t1(H8)/1000,s_tp1(H8,I8*1000000)/1000)","v":1.7062000505210972}]
[null,null,null,null,null,null,4,{"$f":"t_ph1(I9*1000000,J9*1000)","v":-20.001352193824726},{"$f":"I6","v":1.9695918739568945},{"$f":"J8","v":239.81315062194852},{"$f":"IF(AND(J9>O9,J9<P9),(J9-O9)/(P9-O9),1)","v":0.30225620212458509},{"$f":"sl_t1(H9)/1000","v":0.83279345142434391},{"$f":"rhol_t1(H9)","v":1031.6661904309235},"expansion at constant enthalpy",{"$f":"IF(H9<CO2_TC(),hl_t1(H9)/1000,h_tp1(H9,I9*1000000)/1000)","v":154.44235151894844},{"$f":"IF(H9<CO2_TC(),hg_t1(H9)/1000,h_tp1(H9,I9*1000000)/1000)","v":436.88750401845488},{"$f":"IF(H9<CO2_TC(),rhol_t1(H9),rho_tp1(H9,I9*1000000))","v":1031.6661904309235},{"$f":"IF(H9<CO2_TC(),rhog_t1(H9),rho_tp1(H9,I9*1000000))","v":51.698856665656436},{"$f":"IF(H9<CO2_TC(),sl_t1(H9)/1000,s_tp1(H9,I9*1000000)/1000)","v":0.83279345142434391},{"$f":"IF(H9<CO2_TC(),sg_t1(H9)/1000,s_tp1(H9,I9*1000000)/1000)","v":1.9485189774140961}]
[]
[null,null,null,null,null,"Water In",5,20,0.1]
[null,null,null,null,null,"Water Out",6,90,0.1,null,null,null,null,null,"Cp, air = 1012 J/kg K at 20 C"]
[null,null,null,null,null,"Air In",7,30,0.1,null,null,null,null,null,"Cp, water = 4184 J/kg K at 20 C and 4205 J/kg K at 90 C"]
[null,null,null,null,null,"Air Out",8,10,0.1,"Solvent Flow Rate",null,0.05,"kg/s"]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Water"]
[null,null,null,null,null,null,null,null,null,"Heating and Cooling Requirements",null,null,null,"Showers use from 8 to 20 L/min"]
[null,null,null,null,null,null,null,null,null,"Q32",{"$f":"($J$8-$J$7)*$L$14","v":-14.071235944172813},"kW",null,"Q65 [kW]   (= -Q32)",{"$f":"ABS(K18)","v":14.071235944172813}]
[null,null,null,null,null,null,null,null,null,"Q14",{"$f":"($J$6-$J$9)*$L$14","v":9.8538048405809562},"kW",null,"mH2O [kg/s]",{"$f":"O18*1000/(4184*($H$12-$H$11))","v":4.8044372931483247E-2}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"VH2O [L/min]",{"$f":"O19*60","v":2.8826623758889949}]
[null,null,null,null,null,null,null,null,null,"Electrical Energy Requirements"]
[null,null,null,null,null,null,null,null,null,"W21",{"$f":"($J$7-$J$6)*$L$14","v":4.2174311035918581},"kW",null,"Air"]
[null,null,null,null,null,null,null,null,null,"C.O.P.",{"$f":"(ABS(K18))/K22","v":3.3364471401059208},null,null,"Q87 [kW]   (= -Q14)",{"$f":"ABS(K19)","v":9.8538048405809562}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"mAir [kg/s]",{"$f":"-O23*1000/(1012*($H$14-$H$13))","v":0.4868480652460947},null,null,null,null,"P [MPa]","T [C]","rho [kg/m3]","S [kJ/kg K]","H [kJ/kg]"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"rho air [kg/m3]",{"$f":"I13*1000000*29/(8.314*(273.15+H14))/1000","v":1.2318885305698024},null,null,null,"Path 1-2",{"$f":"$I$6","v":1.9695918739568945},{"$f":"t_ps1(T25*1000000,W25*1000)","v":-19.999999999999996},{"$f":"rho_tp1(U25,T25*1000000)","v":51.698259501738313},{"$f":"$L$6","v":1.9485258643173646}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,"Vair [L/min]",{"$f":"O24*60/O25*1000","v":23712.278497515006},"at ",{"$f":"H14","v":10},"C",null,{"$f":"T25+($I$7-$I$6)/10","v":2.9726326865612052},{"$f":"t_ps1(T26*1000000,W26*1000)","v":7.5908163813365377},{"$f":"rho_tp1(U26,T26*1000000)","v":71.478614183907695},1.9485258643173646]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3.9756734991655156,28.711841301720042,{"$f":"rho_tp1(U27,T27*1000000)","v":89.890733671304886},1.9485258643173646]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,4.978714311769826,45.996173755136759,{"$f":"rho_tp1(U28,T28*1000000)","v":107.26369088609574},1.9485258643173646]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5.9817551243741365,60.701428875679746,{"$f":"rho_tp1(U29,T29*1000000)","v":123.76878934590046},1.9485258643173646]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,6.9847959369784469,73.533383913393635,{"$f":"rho_tp1(U30,T30*1000000)","v":139.51487254617109},1.9485258643173646]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,7.9878367495827574,84.933950975755707,{"$f":"rho_tp1(U31,T31*1000000)","v":154.57763468507076},1.9485258643173646]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,8.9908775621870678,95.200529402798523,{"$f":"rho_tp1(U32,T32*1000000)","v":169.01367967114359},1.9485258643173646]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.9939183747913791,104.54352586584113,{"$f":"rho_tp1(U33,T33*1000000)","v":182.86849225754855},1.9485258643173646]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,10.99695918739569,113.11787049860426,{"$f":"rho_tp1(U34,T34*1000000)","v":196.18038000516074},1.9485258643173646]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.000000000000002,121.04135318479882,{"$f":"rho_tp1(U35,T35*1000000)","v":208.98267894185454},1.9485258643173646]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Path 2-3",{"$f":"T35","v":12.000000000000002},{"$f":"U35","v":121.04135318479882},{"$f":"rho_tp1(U36,T36*1000000)","v":208.98267894185454},{"$f":"s_tp1(U36,T36*1000000)/1000","v":1.9485258643173646}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"T36","v":12.000000000000002},{"$f":"U36-($H$7-$H$8)/10","v":110.93721786631895},{"$f":"rho_tp1(U37,T37*1000000)","v":223.01792463076976},1.9085199454144217]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.000000000000002,100.83308254783907,{"$f":"rho_tp1(U38,T38*1000000)","v":240.43791889943213},1.8643068370750087]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.000000000000002,90.728947229359193,{"$f":"rho_tp1(U39,T39*1000000)","v":263.0403169745706},1.814112551398094]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.000000000000002,80.624811910879316,{"$f":"rho_tp1(U40,T40*1000000)","v":294.37207090979291},1.7546737162909753]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.000000000000002,70.52067659239944,{"$f":"rho_tp1(U41,T41*1000000)","v":342.60390492282704},1.6791187475291423]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.000000000000002,60.416541273919563,{"$f":"rho_tp1(U42,T42*1000000)","v":429.43307508523191},1.5717377267067796]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.000000000000002,50.312405955439687,{"$f":"rho_tp1(U43,T43*1000000)","v":579.76518582585186},1.4239034477490773]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.000000000000002,40.20827063695981,{"$f":"rho_tp1(U44,T44*1000000)","v":715.50003525635429},1.2948977993134787]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.000000000000002,30.104135318479937,{"$f":"rho_tp1(U45,T45*1000000)","v":808.11422640273236},1.1946402722536589,null,"Reference values for calculating paths in the saturation region."]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.000000000000002,20.000000000000064,{"$f":"rho_tp1(U46,T46*1000000)","v":878.10019042273314},1.1073523466989983,null,"X","HL","HG","SL","SG","RHOL","RHOG"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Path 3-4",{"$f":"$I$8","v":12},{"$f":"IF(AND(Y47>0,Y47<1),tsat_P1(T47*1000000),t_ph1(T47*1000000,X47*1000))","v":20.00000000001457},{"$f":"IF(Y47=1,rho_tp1(U47,T47*1000000),Y47*AE47+(1-Y47)*AD47)","v":878.10019042264207},{"$f":"IF(Y47=1,s_tp1(U47,T47*1000000)/1000,Y47*AC47+(1-Y47)*AB47)","v":1.1073523466991184},{"$f":"$J$8","v":239.81315062194852},{"$f":"IF(AND(X47>Z47,X47<AA47),(X47-Z47)/(AA47-Z47),1)","v":1},{"$f":"IF(T47*1000000<CO2_PC(),hl_t1(tsat_P1(T47*1000000))/1000,0)","v":0},{"$f":"IF(T47*1000000<CO2_PC(),hg_t1(tsat_P1(T47*1000000))/1000,0)","v":0},{"$f":"IF(U47<CO2_TC(),sl_t1(U47)/1000,s_tp1(U47,T47*1000000)/1000)","v":1.1877051990961398},{"$f":"IF(U47<CO2_TC(),sg_t1(U47)/1000,s_tp1(U47,T47*1000000)/1000)","v":1.706200050520958},{"$f":"IF(U47<CO2_TC(),rhol_t1(U47),rho_tp1(U47,T47*1000000))","v":773.39218908708392},{"$f":"IF(U47<CO2_TC(),rhog_t1(U47),rho_tp1(U47,T47*1000000))","v":194.20420359613451}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"T47-($I$8-$I$9)/10","v":10.996959187395689},{"$f":"IF(AND(Y48>0,Y48<1),tsat_P1(T48*1000000),t_ph1(T48*1000000,X48*1000))","v":19.470384410858962},{"$f":"IF(Y48=1,rho_tp1(U48,T48*1000000),Y48*AE48+(1-Y48)*AD48)","v":871.27629648615323},1.1112675254042674,239.81315062194852,1,{"$f":"IF(T48*1000000<CO2_PC(),hl_t1(tsat_P1(T48*1000000))/1000,0)","v":0},{"$f":"IF(T48*1000000<CO2_PC(),hg_t1(tsat_P1(T48*1000000))/1000,0)","v":0},{"$f":"IF(U48<CO2_TC(),sl_t1(U48)/1000,s_tp1(U48,T48*1000000)/1000)","v":1.1819131951898518},{"$f":"IF(U48<CO2_TC(),sg_t1(U48)/1000,s_tp1(U48,T48*1000000)/1000)","v":1.7111889337915236},{"$f":"IF(U48<CO2_TC(),rhol_t1(U48),rho_tp1(U48,T48*1000000))","v":778.97697538004775},{"$f":"IF(U48<CO2_TC(),rhog_t1(U48),rho_tp1(U48,T48*1000000))","v":190.13831787689449}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,9.9939183747913773,{"$f":"IF(AND(Y49>0,Y49<1),tsat_P1(T49*1000000),t_ph1(T49*1000000,X49*1000))","v":18.887434778514685},{"$f":"IF(Y49=1,rho_tp1(U49,T49*1000000),Y49*AE49+(1-Y49)*AD49)","v":864.11755082552713},1.1152217380278973,239.81315062194852,1,{"$f":"IF(T49*1000000<CO2_PC(),hl_t1(tsat_P1(T49*1000000))/1000,0)","v":0},{"$f":"IF(T49*1000000<CO2_PC(),hg_t1(tsat_P1(T49*1000000))/1000,0)","v":0},{"$f":"IF(U49<CO2_TC(),sl_t1(U49)/1000,s_tp1(U49,T49*1000000)/1000)","v":1.1756358195778274},{"$f":"IF(U49<CO2_TC(),sg_t1(U49)/1000,s_tp1(U49,T49*1000000)/1000)","v":1.7165288474840461},{"$f":"IF(U49<CO2_TC(),rhol_t1(U49),rho_tp1(U49,T49*1000000))","v":784.95666507611361},{"$f":"IF(U49<CO2_TC(),rhog_t1(U49),rho_tp1(U49,T49*1000000))","v":185.82972951500855}]
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[null,null,null,null,null,null,null,null,null,30.9,7.3639741958937064,{"$f":"rhol_t1(J314)","v":519.79062103437514},{"$f":"rhog_t1(J314)","v":415.91499573300581},{"$f":"hl_t1(J314)/1000","v":320.59870575030089},{"$f":"hg_t1(J314)/1000","v":345.37107280099531},{"$f":"sl_t1(J314)/1000","v":1.3954015777943367},{"$f":"sg_t1(J314)/1000","v":1.4768757490984035}]
[null,null,null,null,null,null,null,null,null,30.95,{"$f":"psat_T1(J315)/1000000","v":7.3724842361861826},{"$f":"rhol_t1(J315)","v":504.45750118155496},{"$f":"rhog_t1(J315)","v":431.22050018077005},{"$f":"hl_t1(J315)/1000","v":323.90856386239784},{"$f":"hg_t1(J315)/1000","v":341.31818719943755},{"$f":"sl_t1(J315)/1000","v":1.406231793502885},{"$f":"sg_t1(J315)/1000","v":1.4634811720126957}]
[null,null,null,null,null,null,null,null,null,30.96,7.3741900996890228,{"$f":"rhol_t1(J316)","v":499.36561101977475},{"$f":"rhog_t1(J316)","v":436.32083499681181},{"$f":"hl_t1(J316)/1000","v":325.02127921370652},{"$f":"hg_t1(J316)/1000","v":339.99496042855503},{"$f":"sl_t1(J316)/1000","v":1.4098795503854709},{"$f":"sg_t1(J316)/1000","v":1.4591170633723121}]
[null,null,null,null,null,null,null,null,null,30.97,7.375897749840008,{"$f":"rhol_t1(J317)","v":491.84974911592622},{"$f":"rhog_t1(J317)","v":443.84901549442316},{"$f":"hl_t1(J317)/1000","v":326.68162129937713},{"$f":"hg_t1(J317)/1000","v":338.06995857560611},{"$f":"sl_t1(J317)/1000","v":1.4153277471152208},{"$f":"sg_t1(J317)/1000","v":1.4527745081864831}]
[null,null,null,null,null,null,null,null,null,{"$f":"CO2_TC()","v":30.978200000000015},7.3773,{"$f":"rhol_t1(J318)","v":467.6},{"$f":"rhog_t1(J318)","v":467.6},{"$f":"hl_t1(J318)/1000","v":332.24265470917527},{"$f":"hg_t1(J318)/1000","v":332.24265470917527},{"$f":"sl_t1(J318)/1000","v":1.4336034978166279},{"$f":"sg_t1(J318)/1000","v":1.4336034978166279}]

{"sheet":"CO2 Functions","index":1,"n_rows":127,"n_cols":9,"rows_kept":127,"cut":false,"hidden":false,"merged":[]}
[null,"Physical Properties for Carbon Dioxide"]
[null,"Version 7.0 (WCO2v70IIR.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; 1=CO2."]
["Example:  V_PT1(P,T) is Specific Volume as a function of Pressure (in Pa) and Temperature (in C)."]
["       Function units are in kg, m3, C, Pa, J"]
["Fundamental Constants","Function Name","Examples"]
["  Tc: critical temperature of CO2 (in C)","CO2_TC()",{"$f":"CO2_TC()","v":30.978200000000015},"oC"]
["  Pc: critical pressure of CO2    (in Pa)","CO2_PC()",{"$f":"CO2_PC()/1000000","v":7.3773},"MPa"]
["  Vc: critical volume of CO2      (m3/kg)","CO2_VC()",{"$f":"CO2_VC()","v":2.1385799828913601E-3},"m3/kg"]
["  rc: critical density of CO2     (kg/m3)","CO2_rhoc()",{"$f":"CO2_rhoc()","v":467.6},"kg/m3"]
["  Mw: molecular weight of CO2     (kg/mol)","CO2_MW()",{"$f":"co2_mw()","v":4.4009800000000002E-2},"kg/mol"]
[]
["Solid",null,null,"T [oC]","P [Pa]","Calculated Value"]
["  Pm:  melting pressure (S-L)","PMELT_T1(T)",null,-55.6,null,{"$f":"PMELT_T1(D15)/1000000","v":5.0187716140156295},"MPa"]
["  Tm:  melting temperature (S-L)","TMELT_T1(P)",null,null,5000000,{"$f":"TMELT_P1(E16)","v":-55.603977210211269},"oC"]
["  Psub:  sublimation pressure (S-V)","PSUB_T1(T)",null,-85,null,{"$f":"PSUB_T1(D17)/1000000","v":5.8193296171896378E-2},"MPa"]
[]
["Pressure-Volume (density)-Temperature"]
["Based on: R. Span and W. Wagner, A New Equation of State for Carbon Dioxide Covering the Fluid Region from the Triple-Point Temperature to 1100 K at Pressures up to 800 MPa, J. Phys. Chem. Ref. Data 25(6), 1509-1596 (1996)."]
[null,null,"r [kg/m3]","T [oC]","P [Pa]","Calculated Value"]
["Saturation Curve: Vapor-liquid Equilibrium"]
["  Psat:  Vapor pressure (saturation pressure), Pa","PSAT_T1(T)",null,25,null,{"$f":"psat_T1(D23)/1000000","v":6.4343155956793536},"MPa"]
["  Tsat:  Vapor temperature (saturation temperature), oC","TSAT_P1(P)",null,null,100000,{"$f":"tsat_P1(E24)","v":-88.041842715134223},"oC"]
["  Hvap:  Heat (enthalpy) of vaporization, J/kg","HVAP_T1(T)",null,25,null,{"$f":"HVAP_T1(D25)*co2_mw()/1000","v":5.2657049382550625},"kJ/mol"]
["  Svap:  Entropy of vaporization, J/(kg K)","SVAP_T1(T)",null,25,null,{"$f":"SVAP_T1(D26)","v":401.30271587376501},"J/(kg K)"]
["     Liquid phase (saturated)"]
["r: Density, kg/m3","RHOL_T1(T)",null,25,null,{"$f":"rhol_t1(D28)","v":710.47149635543349},"kg/m3"]
["H: Enthalpy, H, J/kg","HL_T1(T)",null,25,null,{"$f":"hl_t1(D29)","v":274786.95904870937},"J/kg"]
["S: Entropy, S, J/(kg K)","SL_T1(T)",null,25,null,{"$f":"sl_t1(D30)","v":1248.4806330844126},"J/(kg K)"]
["Cp: constant pressure heat capacity, J/(kg K)","CPL_T1(T)",null,25,null,{"$f":"CPL_T1(D31)","v":6470.1097192223888},"J/(kg K)"]
["Cv: constant volume heat capacity, J/(kg K)","CVL_T1(T)",null,25,null,{"$f":"CVL_T1(D32)","v":1070.4871864240047},"J/(kg K)"]
["     Gas/vapor phase (saturated)"]
["r: Density, kg/m3","RHOG_T1(T)",null,25,null,{"$f":"rhog_t1(D34)","v":242.70968185722785},"kg/m3"]
["H: Enthalpy, H, J/kg","HG_T1(T)",null,25,null,{"$f":"hg_t1(D35)","v":394435.42230587167},"J/kg"]
["S: Entropy, S, J/kg K","SG_T1(T)",null,25,null,{"$f":"sg_t1(D36)","v":1649.7833489581776},"J/(kg K)"]
["Cp: constant pressure heat capacity, J/(kg K)","CPG_T1(T)",null,25,null,{"$f":"CPG_T1(D37)","v":8208.2023592444566},"J/(kg K)"]
["Cv: constant volume heat capacity, J/(kg K)","CVG_T1(T)",null,25,null,{"$f":"CVG_T1(D38)","v":1181.7445216540118},"J/(kg K)"]
["Single Phase Region"]
["Note: U, H, S, Cp, Cv can be used"]
["on the saturation boundary"]
["  T,P functions",null,"r [kg/m3]","T [oC]","P [Pa]","Calculated Value"]
["    V: specific volume, Wagner eqn., m3/kg","V_TP1(T,P)",null,40,11000000,{"$f":"V_TP1(D43,E43)","v":1.46301158110946E-3},"m3/kg"]
["    r: Density, kg/m3","RHO_TP1(T,P)",null,20,10000000,{"$f":"rho_tp1(D44,E44)","v":856.30982316237464},"kg/m3"]
["    f: fugacity, Pa","FUG_TP1(T,P)",null,40,10000000,{"$f":"fug_tp1(D45,E45)/1000000","v":5.8138575001680222},"MPa"]
["    U: internal energy","U_TP1(T,P)",null,40,10000000,{"$f":"U_TP1(D46,E46)","v":297128.40940233023},"J/kg"]
["    H: Enthalpy, H, J/kg","H_TP1(T,P)",null,40,10000000,{"$f":"h_tp1(D47,E47)","v":313039.32892389433},"J/kg"]
["    S: Entropy, S, J/kg K","S_TP1(T,P)",null,40,10000000,{"$f":"s_tp1(D48,E48)","v":1356.2366352728116},"J/(kg K)"]
["    Cv: constant volume heat capacity, J/(kg K)","CV_TP1(T,P)",null,40,10000000,{"$f":"CV_TP1(D49,E49)","v":1029.144918285908},"J/(kg K)"]
["    Cp: constant pressure heat capacity, J/(kg K)","CP_TP1(T,P)",null,40,10000000,{"$f":"cp_tp1(D50,E50)","v":5657.4615449880466},"J/(kg K)"]
["    w: speed of sound, m/s","W_TP1(T,P)",null,40,10000000,{"$f":"W_TP1(D51,E51)","v":269.8904143957871},"m/s"]
["  r,T functions"]
["     P: pressure, Wagner eqn., Pa","P_RT1(RHO,T)",628.61,40,null,{"$f":"P_RT1(C53,D53)/1000000","v":9.9999793034222133},"MPa"]
["     f: fugacity, Pa","FUG_RT1(T,RHO)",628.61,40,null,{"$f":"FUG_RT1(C54,D54)/1000000","v":5.8138542646695415},"MPa"]
["    U:  internal energy","U_RT1(RHO,T)",628.61,40,null,{"$f":"U_RT1(C55,D55)","v":297128.71421815571},"J/kg"]
["    H: Enthalpy, H, J/kg","H_RT1(RHO,T)",628.61,40,null,{"$f":"H_RT1(C56,D56)","v":313039.6403437258},"J/kg"]
["    S: Entropy, S, J/kg K","S_RT1(RHO,T)",628.61,40,null,{"$f":"S_RT1(C57,D57)","v":1356.2377348868754},"J/(kg K)"]
["    Cv: constant volume heat capacity, J/(kg K)","CV_RT1(RHO,T)",628.61,40,null,{"$f":"CV_RT1(C58,D58)","v":1029.1464681969273},"J/(kg K)"]
["    Cp: constant pressure heat capacity, J/(kg K)","CP_RT1(RHO,T)",628.61,40,null,{"$f":"CP_RT1(C59,D59)","v":5657.5184294408455},"J/(kg K)"]
["    w: speed of sound, m/s","W_RT1(RHOH,T)",628.61,40,null,{"$f":"W_RT1(C60,D60)","v":269.88924194517961},"m/s"]
["  Virial Coefficients"]
["     B: Second virial coefficient B, m3/kg","VIRIALB_T1(T)",null,25,null,{"$f":"VIRIALB_T1(D62)","v":-1.2301195752784189E-4},"m3/kg"]
["     C: Third virial coefficient C, m6/kg2","VIRIALC_T1(T)",null,25,null,{"$f":"VIRIALC_T1(D63)","v":4.7468334788673147E-9},"m6/kg2"]
["  P,V (or rho) functions",null,"P [Pa]","r [kg/m3]","V [m3/kg]","Calculated Value"]
["T:single phase temperature at P > Pc","T_PV1(P,V)",11000000,null,1.4630115811094652E-3,{"$f":"T_PV1(C65,E65)","v":39.999998111389097}]
[null,"T_PR1(P,RHO)",28370000,1000,null,{"$f":"T_PR1(C66,D66)","v":14.005453361488904}]
["T:single phase temperature at P < Pc, liquid phase","T_PVL1(P,V)",6600000,null,1E-3,{"$f":"T_PVL1(C67,E67)","v":-8.9540291972173929}]
[null,"T_PRL1(P,RHO)",38000000,1000,null,{"$f":"T_PRL1(C68,D68)","v":24.207032221037792}]
["T:single phase temperature at P < Pc, gas phase","T_PVG1(P,V)",6600000,null,0.02,{"$f":"T_PVG1(C69,E69)","v":425.61229421961758}]
[null,"T_PRG1(P,RHO)",380000000,900,null,{"$f":"T_PRG1(C70,D70)","v":618.58957005290335}]
[]
["Functions Useful for Compressors/Pumps/\nExpansions through Valves",null,"S J/kg K",null,"H J/kg"]
["  T:  single phase temperature at P, S","T_PS1(P,S)",1356.2,10000000,null,{"$f":"t_ps1(D73,C73)","v":39.997972003957685},"oC"]
["  T:  single phase temperature at P, H","T_PH1(P,H)",null,10000000,313039,{"$f":"t_ph1(D74,E74)","v":39.999941860015667},"oC"]
[]
[null,null,"r [kg/m3]","T [oC]","P [Pa]","Calculated Value"]
["  Joule-Thomson coefficient mu = (dT/dP)h","JT_RT1(RHO,T)",628.61,40,null,{"$f":"JT_RT1(C77,D77)*1000000","v":1.0992194082881561},"K/MPa"]
["  Isothermal throttling coefficient delt = (dh/dP)T","DELT_RT1(RHO,T)",628.61,40,null,{"$f":"DELT_RT1(C78,D78)","v":-1.5047064045027403E-2},"J/kg Pa"]
["  Isentropic temperature pressure coefficient bs = (dT/dP)s","BETAS_RT1(RHO,T)",628.61,40,null,{"$f":"BETAS_RT1(C79,D79)*1000000","v":2.9408433618843959},"K/MPa"]
[]
["Two Phase Region",null,"State","P [Pa]","H [J/kg]","X [-]"]
["     Quality X_PH1(P,H)","X_PH1(P,H)","I",5729194.4000000004,255864.6,{"$f":"x_ph1(D82,E82)","v":2.9201548340680432E-7},"T",20,"C"]
[null,null,"II",5729195.4000000004,350000,{"$f":"x_ph1(D83,E83)","v":0.61932561975915801},"HL",{"$f":"hl_t1(H82)","v":255864.55622977176},"J/kg"]
[null,null,"III",5729196.4000000004,407861.2,{"$f":"x_ph1(D84,E84)","v":0.99999990382436954},"HG",{"$f":"hg_t1(H82)","v":407861.24558538618},"J/kg"]
[null,null,null,null,null,null,"Psat",{"$f":"psat_T1(H82)","v":5729194.4242937686},"Pa"]
[null,null,null,"P [Pa]","S [J/kg K]"]
["     Quality X_PS1(P,H)","X_PS1(P,S)","I",5729196.4000000004,1187.7,{"$f":"X_PS1(D87,E87)","v":0},"T",20,"C"]
[null,null,"II",5729196.4000000004,1500,{"$f":"X_PS1(D88,E88)","v":0.6023103607834065},"SL",{"$f":"sl_t1(H87)","v":1187.7051990959792},"J/(kg K)"]
[null,null,"III",5729196.4000000004,1706.2,{"$f":"X_PS1(D89,E89)","v":1},"SG",{"$f":"sg_t1(H87)","v":1706.2000505210972},"J/(kg K)"]
[null,null,null,null,null,null,"Psat",{"$f":"psat_T1(H87)","v":5729194.4242937686},"Pa"]
["Derivative Properties"]
["  T,P functions",null,"r [kg/m3]","T [oC]","P [Pa]","Calculated Value"]
["     dP/dT derivative","DPDT_TP1(T, P)",null,40,10000000,{"$f":"DPDT_TP1(D93, E93)/1000000","v":0.27818429577735276},"MPa/K"]
["     dP/drho derivative = (dP/drho)T","DPDR_TP1(T,P)",null,40,10000000,{"$f":"DPDR_TP1(D94,E94)/1000000","v":1.3250426077735359E-2},"MPa/(kg/m3)"]
["     drho/dT derivative = (drho/dT)P","DRDT_TP1(T,P)",null,40,10000000,{"$f":"DRDT_TP1(D95,E95)","v":-20.994366078898004},"(kg/m3 K)"]
["     Isothermal compressibility = (1/rho)*(drho/dP)T","BETAT_TP1(T,P)",null,40,10000000,{"$f":"BETAT_TP1(D96,E96)*1000000","v":0.12005708426006263},"1/MPa"]
["     Volume coefficient of expansion =  (1/V)*(dV/dT)P","BETAP_TP1(T,P)",null,40,10000000,{"$f":"BETAP_TP1(D97,E97)","v":3.3397995437967828E-2},"1/K"]
["  r,T functions"]
["     dP/dT derivative","DPDT_RT1(RHO,T)",628.61,40,null,{"$f":"DPDT_RT1(C99,D99)/1000000","v":0.27818286993719987},"MPa/K"]
["     dP/drho derivative = (dP/drho)T","DPDR_RT1(RHO,T)",628.61,40,null,{"$f":"DPDR_RT1(C100,D100)/1000000","v":1.3250197681274252E-2},"MPa/(kg/m3)"]
["     drho/dT derivative = (drho/dT)P (derived)","DRDT_RT1(RHO,T)",628.61,40,null,{"$f":"DRDT_RT1(C101,D101)","v":-20.994620354256288},"(kg/m3 K)"]
["     Isothermal compressibility = -(1/V)*(dV/dP)T","BETAT_RT1(RHO,T)",628.61,40,null,{"$f":"BETAT_RT1(C102,D102)*1000000","v":0.1200594520322173},"1/MPa"]
["     Volume coefficient of expansion =  -(1/V)*(dV/dT)P","BETAP_RT1(RHO,T)",628.61,40,null,{"$f":"BETAP_RT1(C103,D103)","v":3.3398482929409785E-2},"1/K"]
["Transport Properties"]
["Based on correlations in Reid, Prausnitz and Poling (1987)"]
["     Liquid phase (saturated)",null,null,"T [oC]",null,"Calculated Value"]
["               Viscosity, Pa s","VMUL_T1(T)",null,25,null,{"$f":"vmul_t1(D107)","v":6.0602715238092372E-5},"Pa s"]
["               Kinematic viscosity (dense gas),  (=mu/rho),  m2/s  ","VNUL_T1(T)",null,25,null,{"$f":"vnul_t1(D108)","v":8.5299291455000396E-8},"m2/s"]
["               Surface tension, N/m","SIGMA_T1(T)",null,25,null,{"$f":"SIGMA_T1(D109)","v":5.3126362684029497E-4},"N/m"]
["               Thermal conductivity (saturated liquid), W/(m K)","kL_T1(T)",null,20,null,{"$f":"kL_T1(D110)","v":8.7335854642549934E-2},"W/(m K)"]
["     Gas/vapor phase (saturated)"]
["               Viscosity, Pa s","VMUG_T1(T)",null,25,null,{"$f":"vmug_t1(D112)","v":2.238400190287764E-5},"Pa s"]
["               Kinematic viscosity (dense gas),  (=mu/rho),  m2/s  ","VNUG_T1(T)",null,25,null,{"$f":"vnug_t1(D113)","v":9.2225418168710965E-8},"m2/s"]
["               Ideal gas thermal conductivity, W/(m K)","KID_T1(T)",null,25,null,{"$f":"KID_T1(D114)","v":1.6889509141672008E-2},"W/(m K)"]
["               Thermal conductivity (saturated vapor), W/(m K)","kG_T1(T)",null,20,null,{"$f":"kG_T1(D115)","v":2.6093839854912364E-2},"W/(m K)"]
["     Single Phase (Gas/vapor) Region"]
["          T,P functions",null,"r [kg/m3]","T [oC]","P [Pa]","Calculated Value"]
["               Viscosity (dense gas), Pa s","VMU_TP1(T,P)",null,40,10000000,{"$f":"VMU_TP1(D118,E118)","v":4.9264821409579048E-5},"Pa s"]
["               Kinematic viscosity (dense gas),  (=mu/rho),  m2/s  ","VNU_TP1(T,P)",null,40,10000000,{"$f":"vnu_tp1(D119,E119)","v":7.8370848374564731E-8},"m2/s"]
["               Thermal conductivity (dense gas), W/(m K)","k_TP1(T,P)",null,40,10000000,{"$f":"k_TP1(D120,E120)","v":6.8413538482249028E-2},"W/(m K)"]
["         r,T functions"]
["               Viscosity (dense gas), Pa s","VMU_RT1(RHO,T)",628.61,40,null,{"$f":"vmu_rt1(C122,D122)","v":4.9264663839284725E-5},"Pa s"]
["               Kinematic viscosity (dense gas),  (=mu/rho),  m2/s  ","VNU_RT1(RHO,T)",628.61,40,null,{"$f":"VNU_RT1(C123,D123)","v":7.8370792445689262E-8},"m2/s"]
["               Thermal conductivity (dense gas), W/(m K)","k_RT1(RHO,T)",628.61,40,null,{"$f":"k_RT1(C124,D124)","v":6.8413339209581148E-2},"W/(m K)"]
["Other"]
["Dielectric function of Moriyoshi et at. (1993).","EPS_RT1(RHO,T)",628.61,40,null,{"$f":"EPS_RT1(C126,D126)","v":1.36751163726669}]
[null,"EPS_TP1(T,P)",null,40,10000000,{"$f":"EPS_TP1(D127,E127)","v":1.36751266720357}]

{"sheet":"Example","index":2,"n_rows":117,"n_cols":9,"rows_kept":117,"cut":false,"hidden":false,"merged":[]}
[]
[null,"Input Field"]
[null,"Calculation Field",null,"Example of using the rho_tp1(TinC,PinPa) function"]
[null,"Solver Field"]
[null,"Vector function",null,null,null,null,null,"Curve label:",{"$f":"CONCATENATE(E6,\" C\")","v":"40 C"}]
[null,"Note Field",null,"T [C]",40]
[null,"Optional/Disregard",null,"P [MPa]","rho [kg/m3]"]
[null,null,null,0.01,{"$f":"rho_tp1($E$6,D8*1000000)","v":0.16909995594188684}]
[null,null,null,0.02,0.33834279869302897]
[null,null,null,0.03,0.50772882357461635]
[null,null,null,0.04,0.67725832688034371]
[null,null,null,0.05,0.84693160588069438]
[null,null,null,0.06,1.0167489588272483]
[null,null,null,7.0000000000000007E-2,1.1867106849570142]
[null,null,null,0.08,1.3568170844967571]
[null,null,null,0.09,1.5270684586674714]
[null,null,null,0.1,1.6974651096886666]
[null,null,null,0.2,3.4094890578906929]
[null,null,null,0.4,6.8784595125847527]
[null,null,null,0.6,10.409511777712831]
[null,null,null,0.8,14.005431138984997]
[null,null,null,1,17.66920576640797]
[null,null,null,1.2,21.404046990125394]
[null,null,null,1.4,25.213412193431139]
[null,null,null,1.6,29.101030743136597]
[null,null,null,1.8,33.070933458930057]
[null,null,null,2,37.127486223480005]
[null,null,null,2.2000000000000002,41.275428458768765]
[null,null,null,2.4,45.519917347973717]
[null,null,null,2.6,49.866578874654607]
[null,null,null,2.8,54.321566993330123]
[null,null,null,3,58.891632552788607]
[null,null,null,3.2,63.58420398594243]
[null,null,null,3.4,68.407482285243191]
[null,null,null,3.6,73.37055343839225]
[null,null,null,3.8,78.483522357640894]
[null,null,null,4,83.757673470668237]
[null,null,null,4.2,89.205664655671072]
[null,null,null,4.4000000000000004,94.841763246783842]
[null,null,null,4.5999999999999996,{"$f":"rho_tp1($E$6,D40*1000000)","v":100.68213562458104}]
[null,null,null,4.8,106.745205758935]
[null,null,null,5,113.05210346473358]
[null,null,null,5.2,119.62723078998457]
[null,null,null,5.4,126.49898600295896]
[null,null,null,5.6,133.70070085117922]
[null,null,null,5.8,141.27187098378238]
[null,null,null,6,149.25979636444697]
[null,null,null,6.2,157.72180610608083]
[null,null,null,6.4,166.7283342410399]
[null,null,null,6.6,176.36726420532017]
[null,null,null,6.8,186.75021587080661]
[null,null,null,7,198.0218968396]
[null,null,null,7.2,210.37445099714716]
[null,null,null,7.4,224.0702596098867]
[null,null,null,7.6,239.47959434427659]
[null,null,null,7.8,257.14527305846087]
[null,null,null,8,277.89705541104536]
[null,null,null,8.1999999999999993,303.05185483871924]
[null,null,null,8.4,334.71256402012096]
[null,null,null,8.6,375.94487784212993]
[null,null,null,8.8000000000000007,429.10032567227461]
[null,null,null,9,485.50144091286495]
[null,null,null,9.1999999999999993,532.03594213942688]
[null,null,null,9.4,566.34832608645297]
[null,null,null,9.6,591.97004304420273]
[null,null,null,9.8000000000000007,612.10590718244089]
[null,null,null,10,628.6115619691052]
[null,null,null,10.199999999999999,642.57099826974854]
[null,null,null,10.4,654.66050798470587]
[null,null,null,10.6,665.32564189863683]
[null,null,null,10.8,674.87304390893837]
[null,null,null,11,{"$f":"rho_tp1($E$6,D72*1000000)","v":683.52158855889581}]
[null,null,null,11.2,691.43238558635926]
[null,null,null,11.4,698.72716111283762]
[null,null,null,11.6,705.49995565911036]
[null,null,null,11.8,711.82482623376018]
[null,null,null,12,717.76107209694374]
[null,null,null,12.2,723.35687504053851]
[null,null,null,12.4,728.65189432940247]
[null,null,null,12.6,733.67915425411093]
[null,null,null,12.8,738.46644182357954]
[null,null,null,13,743.03735825856097]
[null,null,null,13.2,747.41212135521459]
[null,null,null,13.4,751.60818566287298]
[null,null,null,13.6,755.64072748660669]
[null,null,null,13.8,759.523028275147]
[null,null,null,14,763.26678070382309]
[null,null,null,14.2,766.88233529835111]
[null,null,null,14.4,770.3789008598302]
[null,null,null,14.6,773.76470865436647]
[null,null,null,14.8,777.04714793097696]
[null,null,null,15,780.232878564732]
[null,null,null,15.2,783.32792530795905]
[null,null,null,15.4,786.33775714493822]
[null,null,null,15.6,789.2673544989882]
[null,null,null,15.8,792.12126646361844]
[null,null,null,16,794.90365979872377]
[null,null,null,16.2,797.61836107908175]
[null,null,null,16.399999999999999,800.26889312392268]
[null,null,null,16.600000000000001,802.85850662082657]
[null,null,null,16.8,805.39020769271519]
[null,null,null,17,807.86678202240205]
[null,null,null,17.2,810.29081604484065]
[null,null,null,17.399999999999999,{"$f":"rho_tp1($E$6,D104*1000000)","v":812.66471562409356}]
[null,null,null,17.600000000000001,814.99072257721036]
[null,null,null,17.8,817.27092932911341]
[null,null,null,18,819.50729195792167]
[null,null,null,18.2,821.70164183434258]
[null,null,null,18.399999999999999,823.85569603817066]
[null,null,null,18.600000000000001,825.97106670294806]
[null,null,null,18.8,828.04926942002567]
[null,null,null,19,830.09173081427252]
[null,null,null,19.2,832.09979538828361]
[null,null,null,19.399999999999999,834.07473171885579]
[null,null,null,19.600000000000001,836.01773807840118]
[null,null,null,19.8,837.92994754464894]
[null,null,null,20,839.8124326536323]