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 is 0.0050 cm and the air inside contains 14 per cent oxygen. Assuming that the pressure in the alveoli is 1.0 atm and the temperature is `37^(@)C`, calculate the number of oxygen molecules in one of the alveoli.

Options

A. `6xx10^(13)`
B. `10^(24)`
C. `1.7xx10^(22)`
D. `1.7xx10^(12)`

Answer

d

Explanation

(d) Volume of alveoli = `=(4)/(3)piR^(3)`
`=(4)/(3)xx3.14xx(5xx10^(-3))^(3)mL`
`=5.23xx10^(-7)mL=5.23xx10^(-10)L`
`n_(2)=(14)/(100)xxn_(air)=0.14xx(PV)/(RT)`
`0.14xx1xx(5.23xx10^(-10))/(0.0821xx310)`
`=2.87xx10^(-12)`
Molecules `= 2.87xx6.02xx10^(23)xx10^(-12)`
`=1.7xx10^(12)`