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

Chapter 5, Problem 22

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The BeerLambert Law is used in spectroscopy to determine the molar absorptivity or the concentration c of a compound dissolved in a solution at low concentrations (Figure 14). The law states that the intensity I of light as it passes through the solution satisfies ln(I/I0) = cx, where I0 is the initial intensity and x is the distance traveled by the light. Show that I satisfies a differential equation dI /dx = kI for some constant k.

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