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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 37C.

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 2.6×1012
The average radius of alveoli is 0.005 cm
Volume of single alveoli is V=43πr3=43×3.1416×(0.005cm)3=5.23×107cm3
Number of air moles in one alveoli is
n=PVRT
n=1atm×5.23×107cm3×1dm31000cm30.08206Latm/molK×(37+273.15)K
n=2.055×1011
Number of O2 moles in one alveoli is n=21100×2.055×1011=4.32×1012
Number of O2 molecules in one alveoli is 6.023×1023×4.32×1012=2.6×1012

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