The absorbance of a crystal violet solution in water (density is 1.00 g/mL) is measured in a 1.0 cm cuvette. The absorbance is 0.614 and the molar absorptivity coefficient is The molecular weight of crystal violet is 407.98 g/mol. What is the molar concentration of the solution?

Respuesta :

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]