A 0.26 M solution of compound "B" is measured in a 1.00 cm path length cuvette at a wavelength of 565 nm. The percentage of light transmitted through the cell is 44%. What is the molar absorbance of this sample at 565 nm (in units of mol-1 cm-1)?
Explanation:
Given data:
Molar concentration(C) = 0.26 M. path length (b) = 1.00 cm. %T = 44.
Where absorbance (A) and Molar absorbance (E) are unknown.
Solution:
This problem is related with Lambert beers law. We use absorbance and transmittance relation in order get absorbance.
To calculate molar absorbance we simply use A = ebc
Where e = molar absorbance (absorptivity)
Calculation of absorbance:
A= -log (%T)
= 2-log (T)
= 2-log (44)
= 2-1.6435
= 0.3565
Absorbance = 0.3565
Calculation of molar absorbance :
E= A/bC
Lets plug given values,
=0.3565/ (1.00 x 0.26)
= 1.3712 M-1cm-1
Molar absorbance (E epsilon) of the given solution at 565 nm is 1.3712 M-1cm-1.
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