{"text_format":"1","workbook":"xlsx","n_sheets":2,"sheets":["Variables","data"],"not_rendered":{"charts":1,"images":0,"macros":1,"external_links":0,"defined_names":29,"comments":2,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Variables","index":0,"n_rows":24,"n_cols":9,"rows_kept":24,"cut":false,"hidden":false,"merged":[[2,0,2,1],[11,0,11,2],[20,0,21,5],[23,0,24,5]]}
["Variables"]
[]
["Constants used in this workbook"]
["Symbol","Name","Value","Units"]
["R","Universal gas constant",8.3144721500000003,"J/K.mol"]
["F","Faraday constant",96485.339924,"C/mol"]
["mo","mass of sample",2.3949399999999999E-2,"kg"]
["T","temperature",{"$f":"273.15+C11","v":304.95},"K"]
["C","concentration of acid",0.100332,"mol/kg soln"]
["D+","density of titrant",{"$f":"(-0.00000401*C11^2-0.00011179*C11+1.02896024)/1000","v":1.0213502455999998E-3},"kg/cm3","Note: Make sure you change this function according to the acid batch specific density function coefficients"]
["t","sample and titrant temperature (deg C)",31.8,"deg C"]
["Other variables used in Equations from Dickson's SOP 3b"]
["AT","Total alkalinity"]
["ST","total sulfate concentration","let = 0 if salinity known"]
["KS","Acid dissociation constant of [HSO4-]"]
["Z","(1+ST/KS)","let = 1 if salinity known"]
["f[H']","total hydrogen ion concentration","neg[(m0AT + mC)/(m0 + m)]"]
["FT","total fluoride concentration","let = 0 if salinity known"]
["m","mass of acid added"]
[]
["Total alkalinity calculations are reported to the first decimal placed and are good with SD ~ +- 5 umol/kg",null,null,null,null,null,null,null,"Reference Material:"]
[null,null,null,null,null,null,null,null,"http://wwweng.uwyo.edu/classes/meref/Curve_Fitting.pdf"]
[]
["Millero, Lee and Roche. 1997. Distribution of alkalinity in the surface waters of the major oceans.  Marine Chemistry 60: 111-130."]

{"sheet":"data","index":1,"n_rows":63,"n_cols":23,"rows_kept":63,"cut":false,"hidden":false,"merged":[]}
[null,null,"for nonlinear least squares -->",null,null,"X-independent",null,null,null,"Y-dependent"]
[]
[null,null,"for regression -->",null,null,"X",null,"Y",null,"Measured","Predicted",null,null,null,"Paste Regression output in cell O4"]
[null,null,null,null,"V (cm3)","m (kg)","E (volts)","F1","Eo","E (volts)","E* (volts)","(E*-E)^2","(Eav-E)^2",null,"SUMMARY OUTPUT"]
["x-intercept",{"$f":"-($P$20)/$P$21","v":5.3096571734996968E-4},"kg",null,0.64,{"$f":"IF(E5>0,E5*Variables!$C$10,\"\")","v":6.5366415718399996E-4},0.22138265266666668,{"$f":"IF(G5>0,(Variables!$C$7+F5)*EXP(G5/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":112.11963842564015},{"$f":"IF(G5>0,G5-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F5*Variables!$C$9)/(Variables!$C$7+F5)),\"\")","v":0.42110429917277636},{"$f":"IF(G5>0,G5,\"\")","v":0.22138265266666668},{"$f":"IF(G5>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F5*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F5))),\"\")","v":0.22110669591913348},{"$f":"IF(G5>0,(K5-J5)^2,\"\")","v":7.6152126509100007E-8},{"$f":"IF(G5>0,($B$15-J5)^2,\"\")","v":2.6613531519769366E-4}]
["initial estimate of AT",{"$f":"1000000*($B$5)*Variables!$C$9/(Variables!$C$7)","v":2224.3919410572771},"umol/kg soln",null,0.66,{"$f":"IF(E6>0,E6*Variables!$C$10,\"\")","v":6.7409116209599996E-4},0.22489127033333334,{"$f":"IF(G6>0,(Variables!$C$7+F6)*EXP(G6/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":128.24117210014791},{"$f":"IF(G6>0,G6-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F6*Variables!$C$9)/(Variables!$C$7+F6)),\"\")","v":0.42058803799676492},{"$f":"IF(G6>0,G6,\"\")","v":0.22489127033333334},{"$f":"IF(G6>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F6*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F6))),\"\")","v":0.22510703951603758},{"$f":"IF(G6>0,(K6-J6)^2,\"\")","v":4.6556340204857929E-8},{"$f":"IF(G6>0,($B$15-J6)^2,\"\")","v":1.639689620646733E-4},null,"Regression Statistics"]
[null,{"$f":"($B$5)*Variables!$C$9/(Variables!$C$7)","v":2.2243919410572773E-3},"mol/kg soln",null,0.68,{"$f":"IF(E7>0,E7*Variables!$C$10,\"\")","v":6.9451816700799997E-4},0.22854638099999999,{"$f":"IF(G7>0,(Variables!$C$7+F7)*EXP(G7/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":147.50067053498353},{"$f":"IF(G7>0,G7-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F7*Variables!$C$9)/(Variables!$C$7+F7)),\"\")","v":0.42075905439237365},0.22854638099999999,{"$f":"IF(G7>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F7*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F7))),\"\")","v":0.22857271218611022},6.9333136197151073E-10,8.3721144397796109E-5,null,"Multiple R",0.99996455081989677]
[null,null,null,null,0.7,{"$f":"IF(E8>0,E8*Variables!$C$10,\"\")","v":7.1494517191999986E-4},0.23149023466666666,{"$f":"IF(G8>0,(Variables!$C$7+F8)*EXP(G8/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":165.12224493783447},{"$f":"IF(G8>0,G8-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F8*Variables!$C$9)/(Variables!$C$7+F8)),\"\")","v":0.42063194478642429},0.23149023466666666,{"$f":"IF(G8>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F8*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F8))),\"\")","v":0.23162933557552123},1.9349062844169628E-8,3.851533285178584E-5,null,"R Square",0.99992910289643788]
["AVG Eo= ",{"$f":"AVERAGE(I5:I25)","v":0.42075294099967903},"volts",null,0.72,{"$f":"IF(E9>0,E9*Variables!$C$10,\"\")","v":7.3537217683199987E-4},0.23432138566666669,{"$f":"IF(G9>0,(Variables!$C$7+F9)*EXP(G9/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":184.05782669975395},{"$f":"IF(G9>0,G9-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F9*Variables!$C$9)/(Variables!$C$7+F9)),\"\")","v":0.42071807382932802},0.23432138566666669,{"$f":"IF(G9>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F9*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F9))),\"\")","v":0.23436287807402539},1.7216198684208336E-9,1.1390093486969975E-5,null,"Adjusted R Square",0.99992265770520494]
[null,null,null,null,0.74,{"$f":"IF(E10>0,E10*Variables!$C$10,\"\")","v":7.5579918174399987E-4},0.23676602566666669,{"$f":"IF(G10>0,(Variables!$C$7+F10)*EXP(G10/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":202.16920457596262},{"$f":"IF(G10>0,G10-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F10*Variables!$C$9)/(Variables!$C$7+F10)),\"\")","v":0.42068142832829775},0.23676602566666669,{"$f":"IF(G10>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F10*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F10))),\"\")","v":0.23683476629235936},4.7252736206205767E-9,8.6542321602830196E-7,null,"Standard Error",0.63071917132528565]
["Function:",null,null,null,0.76,{"$f":"IF(E11>0,E11*Variables!$C$10,\"\")","v":7.7622618665599988E-4},0.23911607299999998,{"$f":"IF(G11>0,(Variables!$C$7+F11)*EXP(G11/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":221.26469697808275},{"$f":"IF(G11>0,G11-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F11*Variables!$C$9)/(Variables!$C$7+F11)),\"\")","v":0.42076798735102},0.23911607299999998,{"$f":"IF(G11>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F11*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F11))),\"\")","v":0.23909042009467846},6.5807155143523267E-10,2.0157357131813615E-6,null,"Observations",13]
["Eo = E - (RT/F)ln[(-m0AT+mC)/(m0+m)]",null,null,null,0.78,{"$f":"IF(E12>0,E12*Variables!$C$10,\"\")","v":7.9665319156799988E-4},0.24119927000000002,{"$f":"IF(G12>0,(Variables!$C$7+F12)*EXP(G12/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":239.71700288989652},{"$f":"IF(G12>0,G12-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F12*Variables!$C$9)/(Variables!$C$7+F12)),\"\")","v":0.42077060052042659},0.24119927000000002,{"$f":"IF(G12>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F12*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F12))),\"\")","v":0.24116437228202417},1.2178507199220616E-9,1.2270750318286195E-5]
["for nonlinear least squares:",null,null,null,0.8,{"$f":"IF(E13>0,E13*Variables!$C$10,\"\")","v":8.1708019647999989E-4},0.2431033105,{"$f":"IF(G13>0,(Variables!$C$7+F13)*EXP(G13/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":257.94339730072704},{"$f":"IF(G13>0,G13-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F13*Variables!$C$9)/(Variables!$C$7+F13)),\"\")","v":0.42074983516221459},0.2431033105,{"$f":"IF(G13>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F13*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F13))),\"\")","v":0.2430834920904423},3.9276935739665905E-10,2.9235687680858449E-5,null,"ANOVA"]
[null,null,null,null,0.82,{"$f":"IF(E14>0,E14*Variables!$C$10,\"\")","v":8.3750720139199979E-4},0.24487249550000001,{"$f":"IF(G14>0,(Variables!$C$7+F14)*EXP(G14/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":276.13470931443135},{"$f":"IF(G14>0,G14-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F14*Variables!$C$9)/(Variables!$C$7+F14)),\"\")","v":0.42072848556957465},0.24487249550000001,{"$f":"IF(G14>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F14*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F14))),\"\")","v":0.244869097440399},1.1546809051991534E-11,5.1497682491560688E-5,null,null,"df","SS","MS","F","Significance F"]
["Eav = ",{"$f":"AVERAGE(J:J)","v":0.23769630692307697},null,null,0.84,{"$f":"IF(E15>0,E15*Variables!$C$10,\"\")","v":8.5793420630399979E-4},0.24660301949999999,{"$f":"IF(G15>0,(Variables!$C$7+F15)*EXP(G15/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":295.17417332419325},{"$f":"IF(G15>0,G15-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F15*Variables!$C$9)/(Variables!$C$7+F15)),\"\")","v":0.42078540677108278},0.24660301949999999,{"$f":"IF(G15>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F15*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F15))),\"\")","v":0.24653838613581919},4.1774717653285681E-9,7.9329528927918715E-5,null,"Regression",1,61717.093467257066,61717.093467257066,155143.43434674226,3.5469624537154391E-24]
["sums:",null,null,null,0.86,{"$f":"IF(E16>0,E16*Variables!$C$10,\"\")","v":8.783612112159998E-4},0.2481063755,{"$f":"IF(G16>0,(Variables!$C$7+F16)*EXP(G16/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":312.81034900889466},{"$f":"IF(G16>0,G16-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F16*Variables!$C$9)/(Variables!$C$7+F16)),\"\")","v":0.4207179079249509},0.2481063755,{"$f":"IF(G16>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F16*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F16))),\"\")","v":0.24810543363283283},8.8711376060358333E-13,1.0836952777624032E-4,null,"Residual",11,4.3758734038498046,0.39780667307725498]
["(E*-E)^2 = ",{"$f":"SUM(L:L)","v":1.6078148887648363E-7},null,null,0.88,{"$f":"IF(E17>0,E17*Variables!$C$10,\"\")","v":8.9878821612799991E-4},0.249653496,{"$f":"IF(G17>0,(Variables!$C$7+F17)*EXP(G17/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":332.05257498136308},{"$f":"IF(G17>0,G17-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F17*Variables!$C$9)/(Variables!$C$7+F17)),\"\")","v":0.42078517119059311},0.249653496,{"$f":"IF(G17>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F17*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F17))),\"\")","v":0.24958190593678975},5.1251371504479988E-9,1.4297437062128743E-4,null,"Total",12,61721.469340660915]
["(Eav-E)^2 =",{"$f":"SUM(M:M)","v":9.9028955474428034E-4},null,null,null,{"$f":"IF(E18>0,E18*Variables!$C$10,\"\")","v":""},null,{"$f":"IF(G18>0,(Variables!$C$7+F18)*EXP(G18/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":""},{"$f":"IF(G18>0,G18-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F18*Variables!$C$9)/(Variables!$C$7+F18)),\"\")","v":""},"",{"$f":"IF(G18>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F18*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F18))),\"\")","v":""},"",""]
[null,null,null,null,null,{"$f":"IF(E19>0,E19*Variables!$C$10,\"\")","v":""},null,{"$f":"IF(G19>0,(Variables!$C$7+F19)*EXP(G19/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":""},{"$f":"IF(G19>0,G19-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F19*Variables!$C$9)/(Variables!$C$7+F19)),\"\")","v":""},"",{"$f":"IF(G19>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F19*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F19))),\"\")","v":""},"","",null,null,"Coefficients","Standard Error","t Stat","P-value","Lower 95%","Upper 95%","Lower 95.0%","Upper 95.0%"]
["R2 = ",{"$f":"1-B17/B18","v":0.99983764194209035},null,null,null,{"$f":"IF(E20>0,E20*Variables!$C$10,\"\")","v":""},null,{"$f":"IF(G20>0,(Variables!$C$7+F20)*EXP(G20/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":""},{"$f":"IF(G20>0,G20-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F20*Variables!$C$9)/(Variables!$C$7+F20)),\"\")","v":""},"",{"$f":"IF(G20>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F20*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F20))),\"\")","v":""},"","",null,"Intercept",-478.6618624003039,1.7851680275312993,-268.13266595539648,2.4370380546080435E-22,-482.59099073717033,-474.73273406343748,-482.59099073717033,-474.73273406343748]
[null,null,null,null,null,{"$f":"IF(E21>0,E21*Variables!$C$10,\"\")","v":""},null,{"$f":"IF(G21>0,(Variables!$C$7+F21)*EXP(G21/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":""},{"$f":"IF(G21>0,G21-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F21*Variables!$C$9)/(Variables!$C$7+F21)),\"\")","v":""},"",{"$f":"IF(G21>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F21*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F21))),\"\")","v":""},"","",null,"X Variable 1",901492.97169182147,2288.7357043482957,393.88251338024912,3.5469624537154391E-24,896455.49837117898,906530.44501246396,896455.49837117898,906530.44501246396]
["Solver inputs and solutions:",null,null,null,null,{"$f":"IF(E22>0,E22*Variables!$C$10,\"\")","v":""},null,{"$f":"IF(G22>0,(Variables!$C$7+F22)*EXP(G22/((Variables!$C$5*Variables!$C$8)/Variables!$C$6)),\"\")","v":""},{"$f":"IF(G22>0,G22-(Variables!$C$5*Variables!$C$8/Variables!$C$6)*LN((-Variables!$C$7*$B$7+F22*Variables!$C$9)/(Variables!$C$7+F22)),\"\")","v":""},"",{"$f":"IF(G22>0,$D$24+(((Variables!$C$5*Variables!$C$8)/Variables!$C$6)*LN((F22*Variables!$C$9-Variables!$C$7*$D$25)/(Variables!$C$7+F22))),\"\")","v":""},"",""]
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