ISO/TR 16153:2023
Determination of uncertainty for volume measurements of a piston-operated volumetric apparatus using a photometric method
This document gives detailed information regarding the evaluation of uncertainty for the photometric reference measurement procedure specified in ISO 8655-8 and the photometric procedure specified in ISO 8655-7:2022, Annex B according to ISO/IEC Guide 98-3.
This document also describes the determination of other uncertainty components related to the liquid delivery process of a piston-operated volumetric apparatus (POVA), e.g. repeatability and handling. Furthermore, it provides examples for the calculation and application of the uncertainty of the mean delivered volume and the uncertainty in use of a single delivered volume.
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Foreword
Introduction
1 Scope
2 Normative references
3 Terms and definitions
4 Modelling the measurement
5 General procedure for the uncertainty calculation
6 Standard uncertainty components associated with the measuring system (photometric measurement procedure)
6.1 General information on the estimation of standard uncertainty components
6.2 Standard uncertainty of the copper(II) chloride solution volume
6.3 Standard uncertainty of the cuvette mixture absorbance at 520 nm
6.4 Standard uncertainty of the cuvette starting absorbance at 730 nm
6.5 Standard uncertainty of the cuvette starting absorbance at 520 nm
6.6 Standard uncertainty of the volume of Ponceau S and copper(II) choloride solutions used in calibrators
6.7 Standard uncertainty of the absorbances of the calibrator solutions
7 Standard uncertainty components associated with the POVA
7.1 Standard uncertainty of the resolution
7.2 Standard uncertainty of the setting
7.3 Standard uncertainty related to air cushion effects
7.4 Standard uncertainty of the cubic expansion coefficient
8 Standard uncertainty components associated with the liquid delivery process
8.1 Repeatability (experimental standard deviation)
8.2 Reproducibility
9 Combined standard uncertainty of measurement associated with the systematic error of mean volume
10 Sensitivity coefficients
11 Coverage factor k
12 Expanded uncertainty of measurement associated with the volume 
13 Example for determining the uncertainty of the volume measurement of POVA
13.1 Measurement conditions
13.2 Results
13.2.1 Standard uncertainty of the POVA mean volume
13.2.2 Expanded uncertainty of the measurement
13.2.3 Result of measurement
13.2.4 Uncertainty in use and corrections for pressure changes
13.2.5 General remarks
13.2.6 Note on the conformity with ISO/IEC Guide 98-3
Annex A (informative) Approaches for the estimation of uncertainty in use of a single delivered volume
Annex B (informative) Volume correction due to pressure changes
Bibliography
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Foreword
Introduction
1 Scope
2 Normative references
3 Terms and definitions
4 Modelling the measurement
5 General procedure for the uncertainty calculation
6 Standard uncertainty components associated with the measuring system (photometric measurement procedure)
6.1 General information on the estimation of standard uncertainty components
6.2 Standard uncertainty of the copper(II) chloride solution volume
6.3 Standard uncertainty of the cuvette mixture absorbance at 520 nm
6.4 Standard uncertainty of the cuvette starting absorbance at 730 nm
6.5 Standard uncertainty of the cuvette starting absorbance at 520 nm
6.6 Standard uncertainty of the volume of Ponceau S and copper(II) choloride solutions used in calibrators
6.7 Standard uncertainty of the absorbances of the calibrator solutions
7 Standard uncertainty components associated with the POVA
7.1 Standard uncertainty of the resolution
7.2 Standard uncertainty of the setting
7.3 Standard uncertainty related to air cushion effects
7.4 Standard uncertainty of the cubic expansion coefficient
8 Standard uncertainty components associated with the liquid delivery process
8.1 Repeatability (experimental standard deviation)
8.2 Reproducibility
9 Combined standard uncertainty of measurement associated with the systematic error of mean volume
10 Sensitivity coefficients
11 Coverage factor k
12 Expanded uncertainty of measurement associated with the volume 
13 Example for determining the uncertainty of the volume measurement of POVA
13.1 Measurement conditions
13.2 Results
13.2.1 Standard uncertainty of the POVA mean volume
13.2.2 Expanded uncertainty of the measurement
13.2.3 Result of measurement
13.2.4 Uncertainty in use and corrections for pressure changes
13.2.5 General remarks
13.2.6 Note on the conformity with ISO/IEC Guide 98-3
Annex A (informative) Approaches for the estimation of uncertainty in use of a single delivered volume
Annex B (informative) Volume correction due to pressure changes
Bibliography