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Question

# Air entering the lungs ends up in tiny sacs called alveoli. From the alveoli, the oxygen diffuses into the blood. The average radius of the alveoli s 0.0050cm and the air inside contains 14 percent oxygen. Assuming that the pressure in the alveoli is 1.0 atm and the temperature is 37oC, calculate the number of oxygen molecules in one of the alveoli.

A
6×1013
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B
1024
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C
1.7×1022
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D
1.7×1012
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Solution

## The correct option is B 1.7×1012Radius of alveoli =0.0050 cm Contains 14% O2. P=1.0atm T=37∘C=37+273=310K Volume of alveoli =43πr3=43×3.14(0.0050 cm)3=5.236×10−7 cm3 Now: we find the no. of moles(n) using PV=nRT { where R=0.082 Latm mol. k n=PVRT=1×5.236×10−70.082×310×1000n=2.058×10−11 mol Here, alveoli consists of 14%O2, we find no. of molecules of O2 ∴ No of molecules of O2=2.058×10−11×14100×6×10231=1.7×1012 molecules O2 Thus, one alveoli contains 1.7×1012 moleculesof O2.

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