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Absorbance depends on the thickness of the sample size. The cuvets for most spec

ID: 492949 • Letter: A

Question

Absorbance depends on the thickness of the sample size. The cuvets for most spectrophotometers hold the sample size to 1 cm, although they can vary. The molar absorptivity (epsilon) is equal to the absorbance of a one-centimeter thick sample of a 1.0 M solution. In this case, epsilon has the units L mol^-1 cm^-1. Epsi changes with wavelength and is generally given for the wavelengths corresponding to the maxima in the absorption curve. How is the constant you found related to the molar absorptivity? A solution known to contain 0.026 M Cu^2+ forms a complex with ethylenediamine that yields an absorbance of 0.37 in a cell of 1.0 cm path length at a selected wavelength. Calculate elementof for these conditions.

Explanation / Answer

Molar absorptivity, as stated, can be related to different concentrations

A typically depends on:

A = e*l*C

where

e = molar absorptivity (Lmol^-1cm^-1)

l = length of sample i.e 1 cm

C = molar concentration ( mol/L)

so..

an increase in A will favour an increase

so

A = e*l*C

can be assumed to be linear and constant as follows:

A = X*C

where X = e*l constant value

And this is the wqay we relate absorbption and concentration

Q3.

M = 0.026 M of Cu+2

A = 0.37

l = 1 cm

for this vlaue, calculate e:

from the formula previously stated

A = l*e*C

substitute all values

note that A = unitless

0.7 = e* (1 cm) * (0.026 mol/L)

so

e = 0.7 / (1 cm * 0.026 mol) / L = 1.8918 L/mol-cm

e = 1.8918 L/mol-cm