Suppose that you carry out an analytical procedure to generate a linear calibration curve like that shown in Figure 4-13. Then you analyse an unknown and find an absorbance that gives a negative concentration for the analyte. What might this mean?

Short Answer

Expert verified

When a negative concentration value is beyond an experimental error, there must be some errors in the analysis procedure. The reason is true for a value above 100% and it may be due to the extrapolation of the calibration curve.

Step by step solution

01

Linear Calibration Curve

The equation of a linear calibration line isy(sy)=[m±um]x+[b±ub], where y is the corrected absorbance.

Corrected absorbance =observed absorbance˗˗blank absorbance.

02

The reason for obtaining a negative concentration while analyzing an unknown analyte.

The reasons for obtaining a negative concentration are:

  • A negative value implies zero experimental error. If a negative value is obtained, it says that no detectable analyte is present.

  • When a negative concentration value is beyond an experimental error, there must be some errors in the analysis procedure.

  • The above reason is true for a value above 100% and it may be due to the extrapolation of the calibration curve.

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Most popular questions from this chapter

Consider the least-squares problem in Figure 4-11.

(a) Suppose that a single new measurement produces a yvalue of 2.58. Find the corresponding xvalue and its standard uncertainty, ux.

(b) Suppose you measure yfour times and the average is 2.58. Calculate uxbased on four measurements, not one.

(c) Find the 95%confidence intervals for (a) and (b).

(a) Calculate the fraction of bulbs in Figure 4 - 1 expected to have a lifetime greater than 1005.3h.

(b) What fraction of bulbs is expected to have a lifetime between 798.1 and 901.7h?

(c) Use the Excel NORMDIST function to find the fraction of bulbs expected to have a lifetime between 800and 900h.

The equation for the Gaussian curve in Figure 4 - 1is

y=(totalbulbs)(hoursperbar)s2πe-(x-x)2/2s2

where x¯ is the mean value (845.2h) is the standard deviation (94.2h) , total bulbs = 4768, and hours per bar ( = 20) is the width of each bar in Figure 4 - 1. Set up a spreadsheet like the one with this problem to calculate the coordinates of the Gaussian curve in Figure 4 - 1 from 500to 1200hin 25 - hintervals. Note the heavy use of parentheses in the formula at the bottom of the spreadsheet to force the computer to do the arithmetic as intended. Use Excel to graph your results.

What is the meaning of a confidence interval?

Excel LINEST function. Enter the following data in a spreadsheet and use LINEST to find slope, intercept, and standard errors. Use Excel to draw a graph of the data and add a trendline. Draw error bars of±syon the points.

x:3.010.020.030.040.0y:-0.074-1.411-2.584-3.750-5.407

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