Operation of the pulse oximeter (see previous problem).The transmission of light energy as it passes througha solution of light - absorbing molecules is described by theBeer–Lambert law I = I010-εCL    or   log10  (I/I0) = -εCL which gives the decrease in intensity I in terms of the distance Lthe light has traveled through a fluid with a concentration Cof the light - absorbing molecule. The quantity ε is called theextinction coefficient, and its value depends on the frequencyof the light. (It has units of m2/mol.) Assume the extinctioncoefficient for 660 - nm light passing through a solutionof oxygenated hemoglobin is identical to the coefficient for940 - nm light passing through deoxygenated hemoglobin.Also assume 940 - nm light has zero absorption (ε = 0) inoxygenated hemoglobin and 660 - nm light has zero absorptionin deoxygenated hemoglobin. If 33% of the energy ofthe red source and 76% of the infrared energy is transmittedthrough the blood, what is the fraction of hemoglobin that isoxygenated?

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Chapter16: Electromagnetic Waves
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Operation of the pulse oximeter (see previous problem).
The transmission of light energy as it passes through
a solution of light - absorbing molecules is described by the
Beer–Lambert law

I = I010-εCL    or   log10  (I/I0) = -εCL

which gives the decrease in intensity I in terms of the distance L
the light has traveled through a fluid with a concentration C
of the light - absorbing molecule. The quantity ε is called the
extinction coefficient, and its value depends on the frequency
of the light.
(It has units of m2/mol.) Assume the extinction
coefficient for 660 - nm light passing through a solution
of oxygenated hemoglobin is identical to the coefficient for
940 - nm light passing through deoxygenated hemoglobin.
Also assume 940 - nm light has zero absorption (ε = 0) in
oxygenated hemoglobin and 660 - nm light has zero absorption
in deoxygenated hemoglobin. If 33% of the energy of
the red source and 76% of the infrared energy is transmitted
through the blood, what is the fraction of hemoglobin that is
oxygenated?

 

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