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A \"pulse oximeter\" operates by using light and a photocell to measure oxygen saturation in arterial...

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Physics

A \"pulse oximeter\" operates by using light and a photocell tomeasure oxygen saturation in arterial blood. The transmission oflight energy as it passes through a solution of light-absorbingmolecules is described by the Beer-Lambert law
I = I010−εCL or log10II0= −εCL,

which gives the decrease in intensity I in terms of the distanceL the light has traveled through a fluid with a concentration C ofthe light-absorbing molecule. The quantity ε is called theextinction coefficient, and its value depends on the frequency ofthe light. (It has units of
m2/mol)>

Assume the extinction coefficient for 660-nm light passingthrough a solution of oxygenated hemoglobin is identical to thecoefficient for 940-nm light passing through deoxygenatedhemoglobin. Also assume that 940-nm light has zero absorption (ε =0) in oxygenated hemoglobin and 660-nm light has zero absorption indeoxygenated hemoglobin. If 32.8% of the energy of the red sourceand 76.5% of the infrared energy is transmitted through the blood,what is the fraction of hemoglobin that is oxygenated?

= %

Answer & Explanation Solved by verified expert
4.3 Ratings (852 Votes)
Call oxygenated hemoglobin OH Call deoxygenated hemoglobin DOH Concentration of OH CO Concentration of DOH CD Abbreviate log to base 10 to log A    See Answer
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