Answer
The gas occupies a volume of $0.377~m^3$
Work Step by Step
An oxygen atom consists of 8 protons and 8 neutrons.
An oxygen molecule $O_2$ consists of 16 protons and 16 neutrons.
The mass of one oxygen molecule is $32~u$
We can find the mass of one $O_2$ molecule:
$m = (32~u)(1.66\times 10^{-27}~kg/u) = 5.312\times 10^{-26}~kg$
We can find the number of oxygen molecules in the cylinder:
$N = \frac{0.532~kg}{5.312\times 10^{-26}~kg} = 1.0\times 10^{25}$
We can find the volume:
$PV = NkT$
$V = \frac{NkT}{P}$
$V = \frac{(1.0\times 10^{25})(1.38\times 10^{-23}~J/K)(273~K)}{1.0\times 10^5~Pa}$
$V = 0.377~m^3$
The gas occupies a volume of $0.377~m^3$
