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📘 Start with A = epsilon b c

Beer-Lambert links absorbance to concentration: A equals epsilon times b times c. Check units before you solve for c.

3
lessons
~15 min
to learn
Adults
level
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What you’ll learn

  1. Beer-Lambert basicsState A = epsilon b c and convert transmittance to absorbance.Absorbance links path length, molar absorptivity, and concentration under stated conditions.
  2. Measure and calculateBlank a spectrophotometer and solve for concentration directly or by calibration.Use c = A/(epsilon b) when constants are known, or fit standards when they are not.
  3. Quality and workflowStay in the linear range and audit a concentration result.Dilute overloaded samples, match wavelength and path length, and record dilution factors.

Questions this course answers

Which equation gives concentration when epsilon and b are known?

Rearranging A = epsilon b c gives c = A/(epsilon b).

What does absorbance use from the intensity measurement?

Absorbance is the base-ten logarithm of incident intensity divided by transmitted intensity.

Why must standards and unknowns use the same wavelength?

Changing wavelength changes molar absorptivity and therefore the calibration relationship.

What does the slope of A versus c represent?

For A = epsilon b c, the slope is epsilon b when path length is fixed.

What should you do if an unknown is above the calibration range?

Dilution brings the measurement into the validated range; the original concentration is then recovered with the measured factor.

Which item belongs in an auditable result?

Measurement conditions and preparation factors determine how absorbance becomes concentration.

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