Answer : The concentration (in molarity) of the unknown solution Q is, 0.265
Explanation :
Using Beer-Lambert's law :
[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
From the Beer's Law plot between absorbance and concentration we concldue that the slope is equal to [tex]\epsilon \times l[/tex] and path length is 1 cm.
As we are given that:
Slope = 0.543 M⁻¹
and,
Slope = [tex]\epsilon \times l[/tex]
[tex]\epsilon \times l=0.543M^{-1}[/tex]
[tex]\epsilon \times 1cm=0.543M^{-1}[/tex]
[tex]\epsilon=0.543M^{-1}cm^{-1}[/tex]
Now we have to determine the concentration (in molarity) of the unknown solution Q.
Using Beer-Lambert's law :
[tex]A=\epsilon \times C\times l[/tex]
[tex]0.144=0.543M^{-1}cm^{-1}\times C\times 1cm[/tex]
[tex]C=0.265M[/tex]
Therefore, the concentration (in molarity) of the unknown solution Q is, 0.265