{"text_format":"2","workbook":"xls","n_sheets":3,"sheets":["Instructions","Equations","Conductivity worksheet"],"not_rendered":{"charts":0,"images":7,"macros":1,"external_links":1,"defined_names":17,"comments":2,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","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","formulas":"cached_only"}

{"sheet":"Instructions","index":0,"n_rows":2,"n_cols":2,"rows_kept":2,"cut":false,"hidden":false,"merged":[],"flags":["formulas_cached_only"]}
[]
[null,"Instructions:"]

{"sheet":"Equations","index":1,"n_rows":40,"n_cols":3,"rows_kept":40,"cut":false,"hidden":false,"merged":[[2,2,3,12]],"flags":["formulas_cached_only"]}
[]
[null,"Equations Used"]
[null,null,"These equations are reproduced from \"Calibrating and Using the Pendotech Conductivity Probe with the Mosaic Conductivity Wildcard (Paul Clifford, Mosaic Industries, Inc., v2012-10-25)\"."]
[]
[null,"Eqn. 16"]
{"$rows_empty":9}
[null,"Eqn. 17"]
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[]
[]
[]
[]
[]
[null,"Eqn. 18"]
[]
[]
[]
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[null,"Eqn. 19"]
[]
[]
[]
[null,"Eqn. 22"]
{"$rows_empty":8}
[null,"Eqn. 23"]

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[null,"Spreadsheet for calibrating and using a single conductivity probe/sensor."]
[]
[null,"Given three calibration conditions this spredsheet calculates the calibration coefficients that should be assigned to a probe/sensor."]
[null,"The first condition is the tare, or zero conductance calibration.  It requires that the board's output be measured with a probe and sensor connected but not "]
[null,"placed in solution.  The actual conductance is then zero.  The board's output is measured and placed in cell D26."]
[null,"The second calibration condition requires the measurement of the probe when immersed in a high conductivity solution, preferably around 100 mS."]
[null,"From that measurement a sensor impedance calibration coefficient, Zs, is computed."]
[null,"The third calibration condition requires measuring the probe when immersed in a mid-range conductivity solution, preferably around 1 mS."]
[null,"That measurement is used to find the cell constant, K, of the probe/sensor."]
[]
[null,"All resistances on this page are expressed in kohms, and conductivity in mS/cm."]
[null,"All numbers that you can enter are in the shaded boxes – all other boxes contain formulas."]
[null,"The shaded blue boxes represent numbers you must enter to do the calibrations."]
[]
[]
[null,"Fundamental constants that should not change, kept in the instrument:"]
[null,null,"Reference resistor, Ro = ",1,"Kohms","This is the reference resistor placed on the board that determines the mid-range of measurement."]
[null,null,"Ro ® Rref correction factor = ",0.21,null,"This correction factor was determined by Mosaic as best to compensate an on-board nonlinearity."]
[null,null,"Nonlinearity correction a = ",0.0017877,null,"These four coefficients were determined by Mosaic as best to compensate some on-board nonlinearities."]
[null,null,"Nonlinearity correction b = ",0.0044971]
[null,null,"Nonlinearity correction c = ",-3.1111e-05]
[null,null,"Nonlinearity correction d = ",-0.00020041]
[]
[]
[null,"Calibration coefficients"]
[null,null,"Tare calibration value (Vpo/Vref) = ",0.858,"v/v","Tare reading: Enter the zero conductance output, either as a normalized A/D reading (Counts/65536) as a decimal number, or as the ratio of measured voltages taken with a voltmeter.  Take the measurements with the probe connected but not placed in solution. A typical value with a short cable may be 0.98, while a typical value with a 3m long cable may be 0.86."]
[null,null,"Rref = ",1.0347552447552448,"Kohms","This value is computed from the tare reading using Eqn. 17."]
[null,null,"Zs = ",0.0005554476437032076,"Kohms","Probe/electrode impedance calculated from the full scale conductance calibration using Eqn. 22"]
[null,null,"K = ",0.9911660343089318,"1/cm","Cell constant.  The spreadsheet automatically adjusts this value to make the computed conductance at the mid-scale calibration equal to the actual conductance."]
[]
[]
[]
[null,"Sensor/probe calibration conditions (Enter the following pairs of actual conductivities and readings or instrument raw measurements as Counts/65536)"]
[]
[null,null,null,"Actual\nConductivity\n(mS/cm)","Reading\n(Vo/Vref)","Computed\nUncorrected\nResistance","Corrected\nResistance\n(Kohm)","Computed Conductivity with K=1","Computed\nConductivity after K is found","Conductivity Error (%)"]
[null,null,"Full Scale Calibration Point (appx 100 mS)",100,0.01,0.009911660343089318,0.00991227353085643,100.8850287360461,99.99381385344944,6.186146550561489e-05]
[null,null,"Mid Scale Calibration Point (appx 1 mS)",1,0.455,0.989444425791163,0.9911660343089317,1.0089127001786613,1.0000000000000002,-2.220446049250313e-16]
[]
[]
[null,"Other conductivity readings (Enter the reading, or the reading and actual conductivity)"]
[]
[null,"Comment or condition",null,"Actual\nConductivity\n(mS/cm)","Reading\n(Vo/Vref)","Computed\nUncorrected\nResistance","Corrected\nResistance\n(Kohm)","Computed\nConductivity\n(mS/cm)","Conductivity Error (%)"]
[null,"2 ohm resistor",null,null,0.0036,0.0031850501504348356,0.0032264235735375998,307.2027003640355,""]
[null,"10 ohm resistor",null,null,0.0112,0.011183993027760296,0.011174301649991229,88.70049022792487,""]
[null,"22.5 ohm resistor",null,null,0.0229,0.02377704492413283,0.023658492597905655,41.89472470434037,""]
[null,"99.25 ohm resistor",null,null,0.0881,0.10082241216800415,0.100189893281212,9.892874439210518,""]
[null,"199.9 ohm resistor",null,null,0.1598,0.20184384462988106,0.2009017944922257,4.933584773665558,""]
[null,"995 ohm resistor",null,null,0.455,0.989444425791163,0.9911660343089317,1.0000000000000002,""]
[null,"10.02 Kohm resistor",null,null,0.789,9.903587320835838,9.997866083949662,0.0991377585963195,""]
[null,"19.9 Kohm resistor",null,null,0.821,19.19175728671759,19.376655439717403,0.0511525860276838,""]
[null,"33.27 Kohm resistor",null,null,0.836,32.84525038541025,33.12702976607619,0.029920160102127162,""]
[null,"99.6 Kohm resistor",null,null,0.85,91.78004779753383,92.05326956693291,0.01076730939565644,""]
[null,"500 Kohm resistor",null,null,0.856,369.6121701925001,364.3887512027135,0.002720078572781011,""]
[null,"probe open",null,null,0.858,7408.846996999909,6650.244607161743,0.00014904204173806345,""]
[null,"NaCl solution of 2.3 mS at 22 deg C",null,2.3,0.292,0.45403743283715453,0.4532729040383416,2.186687149128797,0.04926645690052301]
[null,"NaCl solution of 0.130 mS at 22 deg C",null,0.13,0.768,7.397083318613386,7.464073606133389,0.13279156752881824,-0.021473596375524876]
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