To solve this exercise it is necessary to apply the concepts related to Robert Boyle's law where:
[tex]PV=nRT[/tex]
Where,
P = Pressure
V = Volume
T = Temperature
n = amount of substance
R = Ideal gas constant
We start by calculating the volume of inhaled O_2 for it:
[tex]V = 21\% * 0.66L[/tex]
[tex]V = 0.1386L[/tex]
Our values are given as
P = 1atm
T=293K [tex]R = 0.083145kJ*mol^{-1}K^{-1}[/tex]
Using the equation to find n, we have:
[tex]PV=nRT[/tex]
[tex]n = \frac{PV}{RT}[/tex]
[tex]n = \frac{(1)(0.1386)}{(0.0821)(293)}[/tex]
[tex]n = 5.761*10^{-3}mol[/tex]
Number of molecules would be found through Avogadro number, then
[tex]\#Molecules = 5.761*10^{-3}*6.022*10^{23}[/tex]
[tex]\#Molecules = 3.469*10^{21} molecules[/tex]
