Skip to main content
Log in

Approach to accuracy assessment of the glass-electrode potentiometric determination of acid-base properties

  • General Paper
  • Published:
Accreditation and Quality Assurance Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

Thermodynamic data are suitable subject for investigating strategies and concepts for the evaluation of complete measurement uncertainty budgets in situations where the measurand cannot be expressed in a mathematical formula. Some suitable approaches are the various forms of Monte Carlo simulations in combination with computer-intensive statistical methods that are directed to an evaluation of empirical distribution curves for the uncertainty budget. Basis of the analysis is a cause-and-effect diagram. Some experience is available with cause-and-effect analysis of thermodynamic data derived from spectrophotometric data. Another important technique for the evaluation of thermodynamic data is glass-electrode potentiometry. On basis of a newly derived cause-and-effect diagram, a complete measurement uncertainty budget for the determination of the acidity constants of phosphoric acid by glass-electrode potentiometry is derived. A combination of Monte Carlo and bootstrap methods is applied in conjunction with the commercially available code SUPERQUAD. The results suggest that glass-electrode potentiometry may achieve a high within-laboratory precision because major uncertainty contributions become evident via interlaboratory comparisons. This finding is further underscored by analysing available literature data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. EURACHEM/CITAC (2000) Quantifying uncertainty in analytical measurement. 2nd edn., EURACHEM, Budapest, Hungary

  2. Mandel J, Linnig FJ (1957) Anal Chem 29:743–749

    Article  CAS  Google Scholar 

  3. Danzer K, Wagner M, Fischbacher C (1995) Fresenius J Anal Chem 352:407

    Article  CAS  Google Scholar 

  4. Schwartz LM (1980) Anal Chim Acta 122:291

    Article  CAS  Google Scholar 

  5. Bates DM, Watts DG (1988) Non-linear regression analysis and its application. Wiley series in probability and mathematical statistics, Wiley, New York, USA

  6. Simonoff JS, Tsai Ch-L (1986) Technometrics 28:103

    Article  Google Scholar 

  7. Meinrath G, Kato Y, Kimura T, Yoshida Z (1999) Radiochim Acta 84:21

    CAS  Google Scholar 

  8. May PM, Murray K (1988) Talanta 35:933

    Article  CAS  Google Scholar 

  9. Ekberg C, Meinrath G, Strömber B (2003) J Chem Thermodyn 35:55

    Article  CAS  Google Scholar 

  10. Nitzsche O, Meinrath G, Merkel B (2000) J Contam Hydrol 44:223

    Article  CAS  Google Scholar 

  11. Ödegaard-Jensen A, Ekberg C, Meinrath G (2004) Talanta 63:907

    Article  Google Scholar 

  12. May PM, Murray K, Williams DR (1988) Talanta 35:825

    Article  CAS  Google Scholar 

  13. Bottari E, Braibanti A, Ciavatta L, Corrie AM, Daniele PG, Dallavalle F, Grimaldi M, Mastroianni A, Mori G, Ostacoli G, Paoletti P, Rizzarelli E, Sammartano S, Severini C, Vacca A, Williams DR (1978) Ann Chim (Roma) 68:813

    CAS  Google Scholar 

  14. Kufelnicki A, Lis S, Meinrath G (2005) Anal Bioanal Chem 382:1652

    Article  CAS  Google Scholar 

  15. Grauer R (1997) In: Modelling in aquatic chemistry, NEA/OECD, Paris, France

  16. Meinrath G, Hnatejko Z, Lis S (2004) Talanta 63:287

    Article  CAS  Google Scholar 

  17. Meinrath G, Hurst S, Gatzweiler R (2000) Fresenius J Anal Chem 368:561

    Article  CAS  Google Scholar 

  18. May PM, Murray K (1988) Talanta 35:927

    Article  CAS  Google Scholar 

  19. Sabbatini A, Vacca A, Gans P (1992) Coord Chem Rev 120:389

    Article  Google Scholar 

  20. May PM, Williams RD, Lindner PW, Torrington RG (1982) Talanta 29:249

    Article  CAS  Google Scholar 

  21. Gans P, Sabatini A, Vacca A (1990) SUPERQUAD Protonic Software Ltd., Leeds, UK

  22. Gans P, Sabatini A, Vacca A (1996) Talanta 43:1739

    Article  CAS  Google Scholar 

  23. Buck RP, Rondinini S, Covington AK, Baucke FGK, Brett CMA, Camoes MF, Milton MJT, Mussini T, Naumann R, Pratt KW, Spitzer P, Wilson S (2002) Pure Appl Chem 74:2169–2200

    Article  CAS  Google Scholar 

  24. Meinrath G (2001) Fresenius J Anal Chem 369:690

    Article  CAS  Google Scholar 

  25. Meinrath G, Lis S (2002) Anal Bioanal Chem 372:333

    Article  CAS  Google Scholar 

  26. Efron B (1979) SIAM Rev 21:460

    Article  Google Scholar 

  27. Efron B, Tibshirani RJ (1993) An introduction to the bootstrap monographs on statistics and applied probability 57 Chapman, London, UK 436 pp

    Google Scholar 

  28. Box GEP, Muller ME (1958) Ann Math Stat 29:610

    Article  Google Scholar 

  29. Meinrath G, Ekberg C, Landgren A, Liljenzin JO (2000) Talanta 51:231

    Article  CAS  Google Scholar 

  30. Desphande JV, Gore AP, Shanubhogue A (1995) Statistical analysis of non-normal data. Wiley, Chichester, UK, pp 255

    Google Scholar 

  31. Ellison S, Wegscheider W, Williams A (1997) Anal Chem 69:607A–613A

    Article  CAS  Google Scholar 

  32. Schwartz LM, Gelb RI (1978) Anal Chem 50:1571

    Article  CAS  Google Scholar 

  33. ISO (1993) Guide to the expression of uncertainty, ISO, Geneva, Switzerland

Download references

Acknowledgements

A. Kufelnicki and M. Świątek acknowledge financial support from the Medical University of Łódź under project 503-314-2.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. Meinrath.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Meinrath, G., Kufelnicki, A. & Świątek, M. Approach to accuracy assessment of the glass-electrode potentiometric determination of acid-base properties. Accred Qual Assur 10, 494–500 (2006). https://doi.org/10.1007/s00769-005-0030-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00769-005-0030-7

Keywords

Navigation