A researcher is interested in determining the detection and quantitation limits

Question

A researcher is interested in determining the detection and quantitation limits of a method for the detection of thallium. Ten method blanks gave the following dimensionless instrument readings: 76.5, 44.1, 33.5, 45.5, 90.5, 31.3, 83.3, 68.9, 35.9, and 76.7. Ten samples containing a low concentration of thallium near the detection limit had a mean reading of 178.1. The slope of the calibration curve is 1.55 times 10^9 M^-1. Estimate the signal and concentration detection limits and the lower limit of quantitation for thallium. Signal Detection Limit: Concentration Detection Limit: Lower Limit of Quantitation:

Explanation / Answer

standard deviation = 21.57

mean=178.1

signal detecting limit=mean+3*standard deviation=178.1+3*21.57=242.81

concentration detecting limit =SDL/slope=242.81/1.55*109=1.57*10-7 M

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