Respuesta :
Answer:
16.84 ppm is the concentration of this dilute unknown sports drink.
Explanation:
Using Beer-Lambert's law :
Formula used :
[tex]A=\epsilon \times C\times l[/tex]
where,
A = absorbance of solution
C = concentration of solution
l = length of the cell
[tex]\epsilon[/tex] = molar absorptivity of this solution
The graph between A and C gives straight line with positive slope value. the value of slope corresponds to [tex]\epsilon l[/tex]
Slope = [tex]\epsilon l=\frac{A}{C}[/tex]
According to question we have;
The absorbance of the dilute unknown sports drink:
A = 0.64
Slope of the graph = [tex]=0.038 ppm^{-1}[/tex]
The concentration of the dilute unknown sports drink = C
[tex]0.038 ppm^{-1}=\frac{0.64}{C}[/tex]
[tex]C=\frac{0.64}{0.038 ppm^{-1}}=16.84 ppm[/tex]
16.84 ppm is the concentration of this dilute unknown sports drink.
The concentration of this dilute unknown sports drink  is 16.84 ppm
Beer-Lambert's law:
According to the above law,
We know that
[tex]A = e \times c\times l[/tex]
Here,
A = absorbance of solution
C = concentration of solution
l = length of the cell
E = molar absorptivity of this solution
Since The slope of the best-fit straight line of the plot is 0.038 ppm- 1 The absorbance of the dilute unknown sports drink was 0.64
Now the concentration should be
[tex]C = 0.64 \div 0.038 ppm^- 1[/tex]
= 16.84 ppm
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