Question 4.5: The class A 10-mL pipet characterized in Table 4.8 is used t...
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
V_{tot} = 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
s_R=\sqrt{(0.006)^2 + (0.006)^2} =0.0085
Thus, we report the volume and its absolute uncertainty as 19.984 ± 0.008 mL. The relative uncertainty in the total delivered volume is
\frac{0.0085}{19.984} \times 100=0.043%
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