Answer:
1) [tex]7.8\times 10^{-5} M[/tex] is the concentration of ergosterol in a solution.
2) The absorbance of the solution is 0.49.
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 = [tex]2.00\times 10^{-3}M[/tex]
l = path length = 1.00 cm
[tex]\epsilon[/tex] = molar absorptivity coefficient
1)
We have:
Absorbance of the solution ,A = 0.93
Concentration of ergosterol ,C = ?
Path length ,l = 1.00 cm
[tex]\epsilon = 11,900 M^{-1} cm^{-1}[/tex]
[tex]A=\epsilon \times C\times l[/tex]
[tex]C=\frac{A}{\epsilon\times l}[/tex]
[tex]=\frac{0.93}{11,900 M^{-1}cm^{-1}\times 1.00 cm}=7.8\times 10^{-5} M[/tex]
[tex]7.8\times 10^{-5} M[/tex] is the concentration of ergosterol in a solution.
2)
We have:
Absorbance of the solution ,A = ?
Concentration of ergosterol ,C = [tex]4.1\times 10^{-5} M[/tex]
Path length ,l = 1.00 cm
[tex]\epsilon = 11,900 M^{-1} cm^{-1}[/tex]
[tex]A=\epsilon \times C\times l[/tex]
[tex]=11,900 M^{-1}cm^{-1}\times 4.1\times 10^{-5}M\times 1.00 cm= 0.49[/tex]
The absorbance of the solution is 0.49.