Question

Determine the concentration of species in a sample using the peak areas and relative detector responses for the five gas chromatographic peaks given in the following table. Use the area-normalization method. One method for quantitative determination of the concentration of constituents in a sample analyzed by $GC$is the area-normalization method. Here, complete elution of all of the sample constituents is necessary. The area of each peak is then measured and corrected for differences in detector response to the different eluates. This correction involves dividing the area by an empirically determined correction factor. The concentration of the analyte is found from the ratio of its corrected area to the total corrected area of all peaks. Also shown are the relative responses of the detector. Calculate the percentage of each component in the mixture.

Short answer

Compounds in$\%$are$A=21.08,B=13.06,C=36.40,D=18.79,E=10.66$

Step-by-step solution

Relative detector response.

The sensitivity of a detector in relevance a regular substance is expressed by the relative detector response factor. It is calculated on the idea of an equal mole, equal volume, or equal mass or weight. This ratio should ideally be unity for simple calculating.

Given data.

To begin, we've listed the problem's knowns in Table $1$. We've also checked out data for chemicals in $A$, $B$, and $C$.

Compound	Relative area	Relative detector response
$A$	$32.5$	$0.7$
$B$	$20.7$	$0.72$
$C$	$60.1$	$0.75$
$D$	$30.2$	$0.73$
$E$	$18.3$	$0.78$

Table $1$: Measured data

derive the Compound percentages.

To get the corrected area, divide the comparative detector response even by relative area. Divide the corrected area by the fully corrected area, which is $220.12$, to induce the percent of the compound.

$correctedarea=\frac{relativearea}{relativedetectorresponse}$

$compond(\%)=\frac{correctedarea}{totalcorrectedarea}\times 100\%$

Compound	Relative area	Relative detector response	Corrected area	Compound$(\%)$
$A$	$32.5$	$0.7$	$46.42$	$21.08$
$B$	$20.7$	$0.72$	$28.75$	$13.06$
$C$	$60.1$	$0.75$	$80.13$	$36.40$
$D$	$30.2$	$0.73$	$41.36$	$18.79$
$E$	$18.3$	$0.78$	$23.46$	$10.66$