If a 0.10 M solution of a colored substance has a maximum absorbance at 500 nm and an absorbance of 0.26 at this wavelength, what will be the measured absorbance of a 0.20 M solution at 500 nm?

Respuesta :

Answer:

The absorbance at 500 nm is [tex]A_2 = 0.52A[/tex]

Explanation:

BY USING proportionality relationshiop between concentration and absorbance , which is given as

[tex]\frac{c_1}{c_2} =\frac{A_1}{A_2}[/tex]

FROM THE DATA WE HAVE

[tex]c_1 = 0.10 M[/tex]

[tex]A_1 = .26A[/tex]

[tex]c_2 = 0.20 M[/tex]

so, from above relation we have

[tex]A_2 = \frac{c_2 A_1}{c_1}[/tex]

[tex]A_2 = \frac{0.20*0.26}{0.10}[/tex]

[tex]A_2 = 0.52A[/tex]

Answer : The measured absorbance of 0.20 M solution is 0.52

Explanation :

Using the proportionality relationship between concentration and absorbance, we use:

[tex]\frac{C_1}{C_2}=\frac{A_1}{A_2}[/tex]

where,

[tex]C_1[/tex] = concentration of solution 1 = 0.10 M

[tex]C_2[/tex] = concentration of solution 2 = 0.20 M

[tex]A_1[/tex] = absorbance of solution 1 = 0.26

[tex]A_2[/tex] = absorbance of solution 2 = ?

Now put all the given values in the above expression, we get:

[tex]\frac{0.10M}{0.20M}=\frac{0.26}{A_2}[/tex]

[tex]A_2=0.52[/tex]

Therefore, the measured absorbance of 0.20 M solution is 0.52