Open Access
Table 1
Uncertainty budget of distilled water measurements ρ, at 20 °C and 1013.25 mbar, performed with HWS of TUBITAK UME.
| Uncertainty sources | Reference value | Standard uncertainty | Sensitivity coefficient | Uncertainty contribution in 10−3 kg m−3 |
|---|---|---|---|---|
| Mass of sinker | 238.12493 g | 0.0001 g | 0.00978 1/cm3 | 0.978 |
| Volume of sinker | 102.23983 g | 0.00025 cm3 | 0.00977 g/cm6 | 2.441 |
| Mass of substitution weights | 136.069975 g | 2.03 × 10−5 g | 0.00978 1/cm3 | 0.198 |
| Volume of substitution weights | 16.98624 cm3 | 0.0036 cm3 | 0.00001g/cm6 | 0.041 |
| Balance indication difference with/without sinker | −0.0043 g | 0.00011 g | −0.00978 1/cm3 | 1.055 |
| Meniscus mass difference | 0.0004677 g | 0.00027 g | 0.00978 1/cm3 | 2.641 |
| Temperature of liquid at sinker | 19.992 ° C | 0.00510 ° C | 2.10 × 10−4 g/(°C cm3) | 1.072 |
| Thermal expansion coefficient of liquid | 0.00021 °C−1 g/(cm3) | 2 × 10−5 °C−1 g/(cm3) | 7.79 × 10−3 °C−1 | 0.156 |
| Height of liquid column | 15 cm | 0.86603 cm | 9.77 × 10−10 g/cm4 | 0.001 |
| Compressibility of liquid | 4.60 × 10−8 mbar−1 | 2 × 10−9 mbar−1 | 16 mbar g/cm3 | 0.032 |
| Air pressure | 997.21 mbar | 0.05 mbar | 9.98 × 10−10 mbar−1 g/cm3 | 0.000 |
| Air density | 1.170 × 10−3 g/cm3 | 7.06 × 10−7 g/cm3 | 0.166 | 0.117 |
| Height of difference of weight and sinker | 80 cm | 5.774 cm | 3.99 × 10−9 cm−1 g/cm3 | 0.023 |
| Density of mass set | 8 g/cm3 | 0.028 g/cm3 | 7.66 × 10−10 | 0.000 |
| Thermal expansion coefficient of mass set | 4.8 × 10−5 °C−1 | 2.8 × 10−6 °C−1 | 4.86 × 10−4 °C g/cm3 | 0.001 |
| Air temperature | 22.50 °C | 0.15 °C | 9.33 × 10−9 °C−1 g/cm3 | 0.001 |
| Compressibility of sinker | 1.0 × 10−9 mbar−1 | 5.8 × 10−12 mbar−1 | 16 mbar g/cm3 | 0.000 |
| Mean value of liquid density at reference temperature | 0.998428 g/cm3 | 0.0000011 g/cm3 | 1 | 1.095 |
| Combined standard uncertainty, uc | 0.0042 kg/m3 | |||
| Expanded uncertainty of density, U95 = t95(νeff). uc | 0.0082 kg/m3 |
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