Question

Is there a mathematical relationship between absorbance and concentration of the solution? If so, indicate the...

Is there a mathematical relationship between absorbance and concentration of the solution? If so, indicate the relationship.

Homework Answers

Answer #1

Many compounds absorb ultraviolet (UV) or visible (Vis.) light. The diagram below shows a beam of monochromatic radiation of radiant power P0, directed at a sample solution. Absorption takes place and the beam of radiation leaving the sample has radiant power P.

The amount of radiation absorbed may be measured in a number of ways:

Transmittance, T = P / P0
% Transmittance, %T = 100 T

Absorbance,

A = log10 P0 / P
A = log10 1 / T
A = log10 100 / %T
A = 2 - log10 %T

The last equation, A = 2 - log10 %T , is worth remembering because it allows you to easily calculate absorbance from percentage transmittance data.

The relationship between absorbance and transmittance is illustrated in the following diagram:

So, if all the light passes through a solution without any absorption, then absorbance is zero, and percent transmittance is 100%. If all the light is absorbed, then percent transmittance is zero, and absorption is infinite.

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