The class A 10-mL pipet characterized in Table 4.8 is used to deliver two successive volumes. Calculate the absolute and relative uncertainties for the total delivered volume. Table 4.8 Experimentally Determined Volumes Delivered by a 10-mL Class A Pipet Trial Volume Delivered (mL) Trial Volume Delivered (mL) 1 10.002 6 9.983 2 9.993 7 9.991 3 9.984 8 9.990 4 9.996 9 9.988 5 9.989 10 9.999

The total delivered volume is obtained by adding the volumes of each delivery; thus [latex]V_{tot}[/latex] = 9.992 mL + 9.992 mL = 19.984 mL Using the standard deviation as an estimate of uncertainty, the uncertainty in the total delivered volume is [latex]s_R=\sqrt{(0.006)^2 + (0.006)^2} =0.0085[/latex] Thus, we report the volume and its absolute uncertainty as 19.984 ± 0.008 mL. The relative uncertainty in the total delivered volume is [latex]\frac{0.0085}{19.984} \times 100=0.043[/latex]%

Question 4.5: The class A 10-mL pipet characterized in Table 4.8 is used t...

Modern Analytical Chemistry

The class A 10-mL pipet characterized in Table 4.8 is used to deliver two successive volumes. Calculate the absolute and relative uncertainties for the total delivered volume.

Table 4.8 Experimentally Determined Volumes Delivered by a 10-mL Class A Pipet
Trial	Volume Delivered (mL)	Trial	Volume Delivered (mL)
1	10.002	6	9.983
2	9.993	7	9.991
3	9.984	8	9.990
4	9.996	9	9.988
5	9.989	10	9.999

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