Absorption Spectra: Determine Dilute/Thick Solutions

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    Absorption Spectra
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Homework Help Overview

The discussion revolves around determining whether a solution is optically dilute or thick based on its absorption spectra, specifically analyzing the absorption coefficient in relation to wavelength.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the absorption coefficient and the optical density of the solution, questioning how to define the thresholds for dilute versus thick solutions. Some express uncertainty about the specific values that indicate these states.

Discussion Status

Participants are actively engaging with the concepts, with some providing insights into the mathematical relationships involved. However, there is no explicit consensus on the criteria for determining optical thickness or dilution, and further exploration of the topic is ongoing.

Contextual Notes

One participant notes the challenge of not having comparative spectra and expresses difficulty in finding definitive cutoff values for optical thickness or dilution.

benndamann33
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If you're reading a graph of absorption coefficient(cm^-1) versus wavelength(nm), how can you dtermine if the solution is optically dilute? What about optically thick? Thanks
Ben
 
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Well as the absorption coefficient is per cm, i am guessing the higher it is the more light is being absorbed when traveling through a cm of the substance. So the optically diluter substance is probably the one with the lower coefficient.
 
I agree, unfortunately I'm not comparing two spectra, but rather just answering for a variety of spectra is the solution optically dilute? Is it Optically thick? And not sure where the cut off is, can't find a value anywhere
 
K i looked on wikipedia and the equation for absorption coefficient is:

I = Io e^-ax

Where I is transmitted intensity, Io is incident intensity, a is the attenuation coefficient and x is the thickness of the substance. Rearranging for a:

a = ln(Io/I)

If we try some values:

When 75% of light is transmitted a = 0.28

When 50% of light is transmitted a = 0.69

When 25% of light is transmitted a = 1.39

Maybe that will help you
 

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