Calculate the concentration of an anthracene solution which produced a fluorescence intensity ( I ) of 775 when the irradiance of the beam incident to the sample ( P 0 ) was 1532 and the length of the medium ( b ) was 0.875 cm. Anthracene has a molar extinction coefficient ( ϵ ) of 9.5 × 10 3 M − 1 ⋅ cm − 1 . The proportionality constant k ′ for anthracene is 0.30.

The concentration of an anthracene solution is  

Explanation:

From the question we are told that

       The incident beam is

         The fluorescence intensity is  

          The length of the medium is b = 0.875 cm

         The molar extinction coefficient is  

          The proportionality  constant k = 0.30

According to Lambert law the Absorbance of the anthracene solution is mathematically represented as

Where

and A  is the  Absorbance

    Substituting value

Generally beers law can be represented mathematically as

where c is the concentration of an anthracene solution

Making c the subject of the formula

Substituting  0.875 cm for length = b ,

We have  

anaphase.

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