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Question

# Air enters in the lungs in a tiny cavity called alveoli. Oxygen diffuses into our blood from alveoli. The average radius of alveoli is 0.005 cm and air inside it contains 21% O2 and 79% N2. Assuming that the pressure in the alveoli is 1 atm at body temperature of 37∘C.Number of O2 molecules in one alveoli is :

A
2.6×1012
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B
2.6×1013
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C
2.6×1014
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D
2.6×1015
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Solution

## The correct option is A 2.6×1012The average radius of alveoli is 0.005 cmVolume of single alveoli is V=43πr3=43×3.1416×(0.005cm)3=5.23×10−7cm3Number of air moles in one alveoli isn=PVRTn=1atm×5.23×10−7cm3×1dm31000cm30.08206Latm/molK×(37+273.15)Kn=2.055×10−11Number of O2 moles in one alveoli is n′=21100×2.055×10−11=4.32×10−12Number of O2 molecules in one alveoli is 6.023×1023×4.32×10−12=2.6×1012

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