[Header] Format=SMU ver=3 appl=GUMWB32 MR=0 FUEB=0 [Title] Title='Uncertainty of 50 ml volumetric flask volume' Description=8 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 (Type B)' Description[3]='' Description[4]='2. Uncertainty due to the filling repeatability (Type A)' Description[5]='' Description[6]='3. Uncertainty of the volume due to temperature difference from 20 °C' Description[7]='' [Model] Model=10 Model[0]='{ Volume of the flask' CE=1 CTC=1 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]='' Model[7]='{ Uncertainty of the flask volume due to temperature difference from 20 °C }' Model[8]='' Model[9]='V_temp = V_tol * \gamma\ * \Delta\t;' Model[10]='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 50 ml flask' Unit='ml' Description=0 Fcov=2 NomUnit= UncUnit= CovID=0 UncID=0 Vnom=50 Ustd=0.0669925368977769 Neff=10000 HB=1 HC=0 HR=1 IO=0 [COMP 1] Type=TypBRectang Definition='Value of the volume together with tolerance uncertainty contribution' Unit='ml' Description=0 Vnom=50.00 Hlim=0.06 [COMP 2] Type=TypBRectang Definition='Uncertainty contribution of the volume due to repeatability' Unit='ml' Description=4 Vnom=0 Hlim=0.09 Ustd=0.005347 Neff=9 Description[0]='The uncertainty of ±0.09 corresponds to the uncertainty of plus minus 3 drops.' Description[1]='With 50 ml volumetric flask this is a reasonable filling uncertainty estimate.' Description[2]='With larger volumetric flasks that have thicker necks, the filling uncertainty' Description[3]='can be even larger. Also this depends very much on the worker.' [COMP 3] Type=Temp Definition='Uncertainty contribution of the volume due to temperature difference from 20 °C' Unit='ml' Description=0 Vnom=0 Hlim= Fcov=2 NomUnit= UncUnit= CovID=0 UncID=0 Ustd=0.0242487113059643 Neff=10000 HB=0 HC=0 HR=0 IO=0 [Correlations] Description=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 liquid temperature from 20 °C' Unit='°C' Description=3 Vnom=0 Hlim=4 Uexp=5 Fcov=1.96 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.'