Rahul posted an Question
July 16, 2021 • 21:54 pm 30 points
  • IIT JAM
  • Chemistry (CY)

A certain substance in a cell of length / absorbs 10 per cent of the incident light. what fraction of the incident light will be absorbed in a cell five times a

A certain substance in a cell of length / absorbs 10 per cent of the incident light. What fraction of the incident light will be absorbed in a cell five times as long ? In a cell ofa certain leneth and at a pressure of 100 mmHo, gaseous acetone transmits 25 I ner cent

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    Priyanshu kumar Best Answer

    Assuming an exponential law of the light absorption like L=L0*exp(-a*x) one gets 0.9 = exp(-a*l) from which one obtains fraction of light passing the thickness 5l as exp(-a*5l) = (exp(-a*l))^5 = 0.9^5 = 0.59. So only about 60% of light will pass this thickness of 5l

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