The BeerLambert Law is used in spectroscopy to determine the molar absorptivity > 0 or the

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The Beer–Lambert Law is used in spectroscopy to determine the molar absorptivity α > 0 or the concentration c > 0 of a compound dissolved in a solution at low concentrations (Figure 1). The law states that the intensity I of light as it passes through the solution satisfies ln(I0/I) = αcx, where I0 is the initial intensity and x is the distance traveled by the light. Show that I decays exponentially as a function of x.

lo Intensity I 0 Distance Solution X X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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