The uncertainty in the volumetric pipet is plusminus0.02 mL. I … (b) A two-step dilution that uses a 20-mL pipet and a 1000-mL volumetric flask for the first dilution, and a 25-mL pipet and a 500-mL volumetric flask for the second dilution. The first step is to determine the concentration of Cu2+ in the final solution. At the other extreme, we might assume that the uncertainty for one delivery is positive and the other is negative. First, complete the calculation using the manufacturer’s tolerance of 10.00 mL±0.02 mL, and then using the calibration data from Table 4.2.8. The individual number is permanently laser-etched onto the base of the volumetric flask and is entered on the corresponding certificate. Of course we must balance the smaller uncertainty for case (b) against the increased opportunity for introducing a determinate error when making two dilutions instead of just one dilution, as in case (a). Improving the signal’s uncertainty will not improve the overall uncertainty of the analysis. The concentration and uncertainty for Cu2+ is 7.820 mg/L ± 0.047 mg/L. To achieve an overall uncertainty of 0.8% we must improve the uncertainty in kA to ±0.0015 ppm–1. 1980, 52, 1158–1161]. Finally, we can use a propagation of uncertainty to determine which of several procedures provides the smallest uncertainty. The uncertainty in the volumetric pipet is plusminus0.02 mL. Solving for umg/L gives the uncertainty as 0.0472. Legal. View desktop site, The uncertainty in the volumetric flasks is plusminus0.2 mL. and the volume of the solid to be 22.0 +/- 1.12 cm3 that would be reported as 22 +/- 1 cm3 . What is the final concentration of Cu2+ in mg/L, and its uncertainty? For example, to determine the mass of a penny we measure its mass twice—once to tare the balance at 0.000 g and once to measure the penny’s mass. For more information contact us at info@libretexts.org or check out our status page at https://status.libretexts.org. Missed the LibreFest? Solving for the uncertainty in kA gives its value as \(1.47 \times 10^{-3}\) or ±0.0015 ppm–1. Show your work here. When we dilute a stock solution usually there are several combinations of volumetric glassware that will give the same final concentration. And while you may assume the accuracy of the 250 mL volumetric flask and the 25 mL volumetric flask would be the same, often the value will be stamped on the flask. When we add or subtract measurements we propagate their absolute uncertainties. It is easy to appreciate that combining uncertainties in this way overestimates the total uncertainty. The uncertainty in the volumetric flasks is plusminus0.2 mL.

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