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Beer-Lambert Law

Lambert's Law:

  • It states that the amount of light absorbed by a substance dissolved in a fully transmitting solvent is directly proportional to the concentration of the substance and the path length of the light through the solution.

  • Mathematically:

    • Absorbance (A) ∝ Concentration (c)

    • Absorbance (A) ∝ Path length (l)

    • When combined: A ∝ c × l

Beer's Law:

  • It states that the amount of light absorbed by a substance is directly proportional to the number of molecules in the path of the light.

  • This implies: Absorbance (A) ∝Concentration (c)

  • By combining Lambert's and Beer's laws: A = ε × c × l

  • Where:

    • A is the absorbance (no units).

    • ε is the molar absorptivity or molar extinction coefficient (usually in L/(mol·cm)).

    • c is the concentration of the solute (usually in mol/L).

    • l is the path length of the cuvette containing the sample (usually in cm).



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