[Header] Format=SMU ver=3 appl=GUMWB32 MR=0 FUEB=0 [Title] Title='Uncertainty of 10 ml pipette volume' Description=11 Description[0]='The following components of uncertainty are taken into account:' Description[1]='' Description[2]='1. Tolerance of the volume as specified by the manufacturer' Description[3]='' Description[4]='2. Uncertainty due to the repeatability of pipetting' Description[5]='' Description[6]='3. Uncertainty of the volume due to temperature difference from 20 °C' Description[7]='' Description[8]='The calculation assumes that the pipette has been decently cleaned, that is no' Description[9]='droplets are formed on the inner surface of the pipette after draining the' Description[10]='liquid.' [Model] Model=10 Model[0]='{ Volume of the pipette' Model[1]=' The voulme is expressed as sum of three components. The V_tol carries the value together with calibration uncertainty.' Model[2]=' The two other components carry only uncertainties, their values are set to zero.' Model[3]='}' Model[4]='' Model[5]='V = V_tol + V_repeat + V_temp;' Model[6]='' CE=1 CTC=1 Model[7]='{ Uncertainty of the pipette volume due to temperature difference from 20 °C }' Model[8]='' Model[9]='V_temp = V_tol * \gamma\ * \Delta\t;' [Components] CompOrder=3 Comp=6 Comp[0]=V Comp[1]=V_tol_ Comp[2]=V_repeat_ Comp[3]=V_temp_ Comp[4]=\gamma\ Comp[5]=\Delta\t [COMP 0] Type=Result Definition='Volume of the 10 ml pipette' Unit='ml' Description=0 Fcov=2 NomUnit= UncUnit= CovID=0 UncID=0 Vnom=10 Ustd=0.0438579525285894 Neff=72 HB=1 HC=0 HR=1 IO=0 [COMP 1] Type=TypBRectang Definition='Value of the volume together with tolerance uncertainty' Unit='ml' Description=0 Vnom=10.000 Hlim=0.03 [COMP 2] Type=TypASum Definition='Repeatability uncertainty component of the volume' Unit='ml' Description=4 Vnom=0 Ustd=0.04 Neff=50 Description[0]='We estimate here that the repeatability standard uncertainty of pipetting is' Description[1]='0.4% of the pipette volume. We have found in our lab that this is a safe' Description[2]='estimate. The users are recommended to substitute this estimate by real data' Hlim=0.04 Description[3]='obtained in their labs.' [COMP 3] Type=Temp Definition='Temperature component of the uncertainty of the volume (Uncertainty of the volume due to temperature difference from 20 °C)' Unit='ml' Description=0 Fcov=2 NomUnit= UncUnit= CovID=0 UncID=0 Vnom=0 Ustd=0.00484974226119286 Neff=10000 HB=0 HC=0 HR=0 IO=0 [COMP 4] Type=Const Definition='Thermal expansion coefficient of water' Unit='1/°C' Description=0 Vnom=0.00021 [COMP 5] Type=TypBRectang Definition='Difference of the liquid temperature from 20 °C' Unit='°C' Description=3 Vnom=0 Uexp=5 Fcov=1.96 Hlim=4 Description[0]='In our lab it is reasonable to assume that the temperature does not differ from' Description[1]='20 °C by more than 4 degrees. The users are advised to substitute this estimate' Description[2]='by one that is obtained in their lab.' [Correlations] Description=0