Answer : The molar concentration of solution is [tex]7.06\times 10^{-6}mol/L[/tex]
Explanation :
Using Beer-Lambert's law :
[tex]A=\epsilon \times C\times l[/tex]
where,
A = absorbance of solution = 0.614
C = molar concentration of solution = ?
l = path length = 1.0 cm
[tex]\epsilon[/tex] = molar absorptivity coefficient = [tex]87000M^{-1}cm^{-1}[/tex] (assume)
Now put all the given values in the above formula, we get:
[tex]0.614=(87000M^{-1}cm^{-1})\times C\times (1.0cm)[/tex]
[tex]C=0.00000705747mol/L=7.06\times 10^{-6}mol/L[/tex]
Therefore, the molar concentration of solution is [tex]7.06\times 10^{-6}mol/L[/tex]