Research Article

A Study of the Critical Uncertainty Contributions in the Analysis of PCBs in Ambient Air

Table 4

(a) Table calculating the uncertainty in the mass concentration of PCB in the SRM using (6) and the volumetric approach (mass concentration domain).

QuantitySymbolValueSensitivity coefficientUncertaintyProbability distributionDivisorContribution to standard uncert

Mass fraction of PCB in the extract (ng⋅mL−1) 1 . 2 4 4 ± 0 . 0 0 6 5.6404.450.593Normal12.638
Total volume of extract (mL) 𝑐 i n t , c a l 1.24420.20.006Normal10.113
Extraction efficiency (no units) 3 3 . 2 1 ± 0 . 5 4 0.704−35.70.035Normal1−1.266
Mass of SRM extracted (g) 𝐴 i n t , e x t 0.397−63.20.001Normal1−0.032
Mass fraction of PCB in the SRM (ng⋅g−1) 𝐴 i n t , c a l 25.108Normal12.929

(b) Table calculating the uncertainty in the measured mass concentration of PCB in the extract using (7) and the volumetric approach (mass concentration domain).

QuantitySymbolValueSensitivity coefficientUncertaintyProbability distributionDivisorContribution to standard uncert

Average injection standard corrected peak area of PCB in the extract (no units) 𝜂 𝑒 0.02132640.0021Normal10.564
Gradient of the calibration curve for the PCB (mL⋅ng−1) 𝐴 i n t , e x t 0.00378−14940.00012Normal1−0.182
Measured mass concentration of PCB in the extract (ng⋅mL−1) 𝐴 i n t , c a l 5.640Normal10.593

(c) Table calculating the uncertainty in extraction efficiency using (8) and the volumetric approach (mass concentration domain).

QuantitySymbolValueSensitivity coefficientUncertaintyProbability distributionDivisorContribution to standard uncert

Average, injection standard-corrected, peak area of the internal standard in the extract (no units) 𝐴 P C B , c a l 0.2982.360.007Normal10.017
Mass concentration of the internal standard in a calibration solution (ng⋅mL−1) 𝑉 P C B 38.320.0181.24Normal10.023
Average, injection standard-corrected, peak area of the internal standard in a calibration solution (no units) 𝑣 S R M 0.489−1.440.012Normal1−0.018
Theoretical mass concentration of the internal standard in the extract (assuming complete recovery) (ng⋅mL−1) 1 . 2 4 4 ± 0 . 0 0 6 33.21−0.0210.54Normal1−0.012
Extraction efficiency (no units) 𝑐 P C B , S R M 0.704Normal10.035