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A student's calibration curve for Blue #1 at 635 nm yields a straight line described by the equation y = 0.194 x + 0.025. If the measured absorbance for a solution of unknown concentration of Blue #1 is 0.293, what is the concentration of the Blue #1 solution? Provide your response to three digits after the decimal.

Respuesta :

Answer:

1.38 M is the concentration of blue solution.

Explanation:

The equation of calibration curve:

[tex]A=\epsilon \times l\times c[/tex]

where,

A = absorbance of solution

C = concentration of solution

l = path length

[tex]\epsilon[/tex] = molar absorptivity coefficient

The graph between A and c will straight line with slope equal to prduct of [tex]\epsilon and l[/tex].

y = 0.194 x + 0.025.

A = 0.194 c+ 0.025

Given the absorbance of solution :

A = 0.293

So, concentration at this value of absorbance will be= c

[tex]0.293=0.194 c+0.025[/tex]

[tex]c=\frac{0.293-0.025}{0.194}=1.381\approx 1.38[/tex]

1.38 M is the concentration of blue solution.

1.38 M is the concentration of blue solution.

Beer-Lambert's law:

The equation for Beer-Lambert's law is:

[tex]A=E*l*c[/tex]

where,

A = absorbance of solution

c = concentration of solution

l = path length

E = molar absorptivity coefficient

The graph between A and c will straight line with slope equal to product of E and l.

y = 0.194 x + 0.025

A = 0.194 c + 0.025

Given:

A = 0.293

So, concentration at this value of absorbance will be= c

[tex]A = 0.194 c + 0.025\\\\0.293=0.194c+0.025\\\\c=\frac{0.0293-0.025}{0.194}\\\\ c=1.38[/tex]

1.38 M is the concentration of blue solution.

Find more information about Beer-Lambert's law here:

brainly.com/question/1446990