# How many oxygen molecules fill a 50*dm^3 tank under normal conditions?

Mar 18, 2016

There are approx. $2$ $m o l$ ${O}_{2}$ molecules at $298 K$ in a $50$ ${\mathrm{dm}}^{3}$ volume
We assume a temperature of $298 K$, and a pressure of $1$ $a t m$. If we don't make these assumptions, we cannot answer the question.
The molar volume of an ideal gas under these conditions is $24.5$ ${\mathrm{dm}}^{3}$.
So $\frac{50.0 \cdot {\mathrm{dm}}^{3}}{24.5 \cdot {\mathrm{dm}}^{3} \cdot m o {l}^{-} 1}$ $\cong$ $2 \cdot m o l$ ${O}_{2}$ gas.