Keywords
Illicit substance
Multivariable function
Purity
Uncertainty
How to Cite
Abstract
Introduction. The uncertainty calculation for determining the purity of an illicit substance in powder is reported as weight percentage (%w/w). The purity is described through a mathematical model represented by a multivariable function, where the variables are also multivariable functions. Methods. A model was developed correlating the theoretical concentration generated by a process of multiple dilutions to the real concentration of the substance, estimated through linear regression. The uncertainty of the model was determined by applying the concept of total derivative. Results. The measurement uncertainty was quantified by calculating the product of the square root of the maximum variance of the function defining purity, expressed as a total differential, and the minimum value that the function can take. To find these two values, the behavior at the extremes of the function expressing the (%w/w) and its maximum variance was analyzed. Conclusion. The model developed in this work is robust and, therefore, could be highly valuable in the industry, since it provides a highly generalized framework for calculating the (%w/w) of a powdered solid and its associated uncertainty.
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