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ReportFlowmeters for 0.5-300 slpm AirTable - 1Result of CalibrationSl No.Meter under calibrationActual Flowrate *ErrorIndicated Flowrate(qt-qa) X 100300qtqaEt(slpm)(slpm)(%FS)123410.570.61-0.0121.021.09-0.0232.022.11-0.0345.055.15-0.03510.0210.21-0.06615.0514.970.03720.0919.990.03830.0230.16-0.05940.0940.090.001050.0649.780.091180.1780.18-0.0012100.70100.81-0.0413150.70151.01-0.1014150.70151.01-0.1015150.90151.33-0.1416150.90151.33-0.1417150.90151.33-0.1418200.20200.35-0.0519300.60299.440.3920100.40101.03-0.212150.2250.44-0.071.75E-01SDType A Standard Uncertaininty7.86E-02slpm7.84E-02slpm1.51E+02Meanfor repeated data (sl Nos 13-17)5.20E-02%5.20E-02%Expanded uncertainty in Actual Flow measurement , U (K=2)1.10 % RdgMy working Note* Reference flow rate corrected to standared (101325 pa & 21.1 Deg C) for AirExcel formula set by me
Tapas: SD = (X i x)2 / n-1Tapas:Random Uncertainty UA1 = / nTapas:(sd / mean ) *100
BudgetTable - 2Uncertainity BudgetData Point Sl. No. 1 of Table 1Source of UncertainityEstimateExpended UncerrtainityProbablity DistributionStandared UncertainitySensitivity coefficientUncertainity ContributionDegre of FreedomXixi xinDivisoru(xi)ciui(Y)VMolecular Weight Mg28.966Kg/kmol1.00E-02%Type B,Rectangular1.7321.67E-03%4.142E-026.926E-05Standared temperature Tg21.1Deg C0.00E+00CType B,Rectangular1.7320.00E+00K-4.077E-030.000E+00Universal Gas Constant R8314.4J/Kg K1.00E-02%Type B,Rectangular1.7324./80E-01J/Kg K-1.440E-04-6.920E-05Standared pressure Ps1013.25mbar0.00E+00mbarType B,Rectangular1.7320.00E+00Pa1.184E-050.000E+00Standared dencity,Ps1.1997 Kg/m3 Standard Uncertanity,u 9.80E-05 Kg/m3Molecular Weight Mg28.966Kg/kmol1.00E-02%Type B,Rectangular1.7321.67E-03%4.162E-027.461E-05Standared temperature Tg0Deg C0.00E+00CType B,Rectangular1.7320.00E+00K-4.731E-030.000E+00Universal Gas Constant R8314.4J/Kg K1.00E-02%Type B,Rectangular1.7324./80E-01J/Kg K-1.554E-04-7.461E-05Standared pressure Ps1013.25mbar0.00E+00mbarType B,Rectangular1.7320.00E+00Pa1.275E-050.000E+00Reference Meter dencity,Ps1.29233 Kg/m3 Standard Uncertanity,u 1.06E-04 Kg/m3Corrected reference Flowrate0.57ln/min1.00E+00%Type B,Normal22.83Eln/min1.077E+003.045E-03Reference Meter Density , Pr1.29233Kg/m32.11E-04kg/m3Type B,Normal21.06E-04kg/m34.712E-014.972E-05Standared Dencsity, Ps1.1997Kg/m31.96E-04kg/m3Type B,Normal29.80E-05kg/m3-5.077E-01-4.972E-05Actual Flowrate at standard Conditions qa0.61slpmType A3.17E-04slpm1.000E+003.167E-044Actual flow rate , qap=Pabs*Me/[273.15+T)]Type A Uncertanity,uA3.17E-04slpmCombine uncertanity,Uc3.06E-03slpmEffective degree of Freedom,n34968qa=Qr*Pr/PsCoverage factor,K2Expended Uncertanity, U0.01slpm1.01%Approximated Uncertanity,U1.01%Source of UncertainityEstimateExpended UncerrtainityProbablity DistributionStandared UncertainitySensitivity coefficientUncertainity ContributionDegre of FreedomXixi xinDivisoru(xi)ciui(Y)VMolecular Weight Mg28.966Kg/kmol1.00E-02%Type B,Rectangular1.732051.67E-03%4.142E-026.927E-05Standared temperature Tg21.1Deg C0.00E+00CType B,Rectangular1.732050.00E+00K-4.077E-030.000E+00Universal Gas Constant R8314.4J/Kg K1.00E-02%Type B,Rectangular1.732054.80E-01J/Kg K-1.430E-04-6.864E-05Standared pressure Ps1013.25mbar0.00E+00mbarType B,Rectangular1.732050.00E+00Pa1.184E-050.000E+00Standared dencity,Ps1.1997 Kg/m3 Standard Uncertanity,u 9.80E-05 Kg/m3Molecular Weight Mg28.966Kg/kmol1.00E-02%Type B,Rectangular1.732051.67E-03%4.462E-027.462E-05Standared temperature Tg0Deg C0.00E+00CType B,Rectangular1.732050.00E+00K-4.731E-030.000E+00Universal Gas Constant R8314.4J/Kg K1.00E-02%Type B,Rectangular1.732054.80E-01J/Kg K-1.554E-04-7.460E-05Standared pressure Ps1013.25mbar0.00E+00mbarType B,Rectangular1.732050.00E+00Pa1.275E-050.000E+00Reference Meter dencity,Ps1.29233 Kg/m3 Standard Uncertanity,u 1.06E-04 Kg/m3Corrected reference Flowrate0.57ln/min1.00E+00%Type B,Normal22.85E-03ln/min1.077E+003.069E-03Reference Meter Density , Pr1.29233Kg/m32.11E-04kg/m3Type B,Normal21.06E-04kg/m34.712E-014.971E-05Standared Dencsity, Ps1.1997Kg/m31.96E-04kg/m3Type B,Normal29.80E-05kg/m3-5.076E-01-4.974E-05Actual Flowrate at standard Conditions qa0.61slpmType A3.17E-04slpm1.000E+003.172E-044Actual flow rate , qap=Pabs*Me/[273.15+T)]Type A Uncertanity,uA3.17E-04slpmCombine uncertanity,Uc3.09E-03slpmEffective degree of Freedom,n36019qa=Qr*Pr/PsCoverage factor,K2Expended Uncertanity, U0.01slpm1.01%Approximated Uncertanity,U1.01%Excel formula set by me
Tapas:Colect from Student T Table number of observation against KTapas:If DOF value < 30 then we will take infinity value of K else same valueTapas:Uc = SQRT(UA^2+UB1^2+UB2^2++Ubn^2)Tapas:Uc^4 / (UA^4 / (n -1) + UB1^4/ DOF + UB2^4/DOF + UB3^4/DOF + ..+ Ubn^4/ DOF *)
=(( n-1) X Uc^4 ) / UA^4Tapas:UE = K X UCTapas:Random Uncertainty UA1 = / nTapas:EU X 100 / Estimate