Question

What maximum fraction of the air in the room is displaced by the gaseous Nitrogen?

Answer 1

Fraction of air in the room displaced by gaseous Nitrogen:

1. So basically, Liquid Nitrogen or ${\mathrm{LN}}_2$ is the Nitrogen in the liquid state at the low temperature (boiling point at sea level: $195.79°\mathrm{C}(77\mathrm{K};320°\mathrm{F})$
2. The boiling point of the liquid Nitrogen is about $-195.8°\mathrm{C}$ and is made in factory by the fractional distillation liquid air.
3. It is a clear and low-viscosity liquid that's often used as a coolant.
4. And after the liquefaction the diatomic character of the ${\mathrm{N}}_2$ molecule is preserved.
5. So when liquid Nitrogen is released into the air, it starts to melt.
6. The steam inside the container (above) is the concentrated water vapor from the air which forms due to the liquid Nitrogen's very low temperature.
7. So using the density formula $\mathrm{D}=\frac{\mathrm{m}}{\mathrm{v}}$, calculate the mass of liquid ${\mathrm{N}}_2$ that is present by using the density and volume parameters, as at the room temperature this all would be present as a vapor.
8. Convert from ${\text{m}}^3$ to $\mathrm{L}$ ($1{\mathrm{m}}^3=1000\mathrm{L}$) and find the volume of the space using $\mathrm{V}=\mathrm{l}\mathrm{x}\mathrm{b}\mathrm{x}\mathrm{h}$.

Therefore, the fraction displaced by the gaseous Nitrogen is calculated by just dividing the mass of gas occupying the given volume of the space by the ratio of mass of gas occupying the given volume of the room.