Respuesta :
Answer:
[tex]7.83\times 10^{-6} M[/tex] is the concentration of the compound in a solution.
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 = path length
[tex]\epsilon[/tex] = molar absorptivity coefficient
We have:
C = ? , l = 1.00 cm, A = 0.090
[tex]\epsilon = 11,500 L/(mol cm)[/tex]
[tex]C=\frac{A}{\epsilon l}=\frac{0.090}{11,500 L/(mol cm)\times 1.00 cm}[/tex]
[tex]C=7.83\times 10^{-6} M[/tex]
[tex]7.83\times 10^{-6} M[/tex] is the concentration of the compound in a solution.
The concentration of the compound in a solution whose absorbance at 257 nm is [tex]7.83*10^6 M[/tex].
Beer-Lambert's law:
It states that there is a linear relationship between the concentration and the absorbance of the solution. It is given by:
[tex]A=E*l*c[/tex]
where:
A = absorbance of solution
c = concentration of solution
l = path length
E = molar absorptivity coefficient
Given:
l = 1.00 cm
A = 0.090
E= 11,500L/mol/cm
To find:
C = ?
Substituting the values in the above formula:
[tex]A=E*l*c\\\\c=\frac{A}{E*l}\\\\ c=\frac{0.090}{11,500L/(molcm)*1.00cm} \\\\c=7.83*10^6M[/tex]
Thus, the concentration of the compound in a solution is [tex]7.83*10^6 M[/tex].
Find more information about Beer-Lambert's Law here:
brainly.com/question/12975133
