Research Article

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

Table 5

(a) Table calculating the uncertainty in the mass concentration of PCB in the SRM using (6) and the third approach (gravimetric preparation: calculations in the mass concentration domain).

QuantitySymbolValueSensitivity coefficientUncertaintyProbability distributionDivisorContribution to standard uncert

Mass fraction of PCB in the extract (ng⋅mL−1) 𝑉 P C B 5.6404.760.593Normal12.821
Total volume of extract (mL) 𝐜 P C B , e x t 1.24421.60.006Normal10.121
Extraction efficiency (no units) 𝐴 i n t , e x t 0.658−40.80.028Normal1−1.139
Mass of SRM extracted (g) 𝑐 i n t , c a l 0.397−67.60.001Normal1−0.034
Mass fraction of PCB in the SRM (ng⋅g−1) 𝐴 i n t , c a l 26.853Normal13.045

(b) Table calculating the uncertainty in the measured mass concentration of PCB in the extract using (7) and the third approach (gravimetric preparation: calculations in the mass concentration domain).

QuantitySymbolValueSensitivity coefficientUncertaintyProbability distributionDivisorContribution to standard uncert

Average injection standard corrected peak area of PCB in the extract (no units) 𝑐 i n t , e x t 0.02132650.0021Normal10.564
Gradient of the calibration curve for the PCB (mL⋅ng−1) 𝜼 𝐞 0.00378−14940.00012Normal1−0.182
Measured mass concentration of PCB in the extract (ng⋅mL−1) 𝑐 P C B , e x t 5.640Normal10.593

(c) Table calculating the uncertainty in extraction efficiency using (8) and the third approach (gravimetric preparation: calculations in the mass concentration domain).

QuantitySymbolValueSensitivity coefficientUncertaintyProbability distributionDivisorContribution to standard uncert

Average, injection standard-corrected, peak area of the internal standard in the extract (no units) 𝜂 𝑒 0.2982.210.007Normal10.016
Mass concentration of the internal standard in a calibration solution (ng⋅mL−1) 𝑣 e x t 36.790.0180.83Normal10.015
Average, injection standard-corrected, peak area of the internal standard in a calibration solution (no units) 𝑚 S R M 0.489−1.350.012Normal1−0.016
Theoretical mass concentration of the internal standard in the extract (assuming complete recovery) (ng⋅mL−1) 𝑥 P C B , S R M 34.10−0.0190.28Normal1−0.005
Extraction efficiency (no units) 𝐴 P C B , e x t , 𝐴 i n t , e x t 0.658Normal10.028