Assume the molar absorptivity (ε) for CoCl42- at 700 nm is 446.9 M-1 cm-1. If d, the cell path length, is equal to 0.71 cm for the cuvettes being used, and if the measured absorbance (A) at 700 nm is 0.935, what is [CoCl42-]?

Respuesta :

Answer : The concentration of [CoCl₄]²⁻ is, [tex]2.95\times 10^{-3}M[/tex]

Explanation :

Using Beer-Lambert's law :

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

where,

A = absorbance of solution  = 0.935

C = concentration of solution = ?

l = path length = 0.71 cm

[tex]\epsilon[/tex] = molar absorptivity coefficient = [tex]446.9M^{-1}cm^{-1}[/tex]

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

[tex]0.935=(446.9)\times C\times (0.71)[/tex]

[tex]C=2.95\times 10^{-3}M[/tex]

Therefore, the concentration of [CoCl₄]²⁻ is, [tex]2.95\times 10^{-3}M[/tex]

The concentration of CoCl42- is 0.0029 M

From the question, we have the following information;

molar absorptivity (ε) = 446.9 M-1 cm-1

path length(l) = 0.71 cm

absorbance (A) =  0.935

concentration (c) =?

Using the Beer - Lambert's law;

A = εcl

Making c the subject of the formula;

c = A/εl

Substituting values;

c = 0.935/446.9 M-1 cm-1 × 0.71 cm

c = 0.0029 M

The concentration of CoCl42- is 0.0029 M

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