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

seo-qna
Last updated date: 25th Jul 2024
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Answer
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Hint: Liquid nitrogen, or LN₂, is nitrogen in a liquid state at low temperatures (boiling point at sea level: \[195.79{\text{ }}^\circ C{\text{ }}\left( {77{\text{ }}K;{\text{ }}320{\text{ }}^\circ F} \right)\]. The boiling point of liquid nitrogen is about \[ - 195.8^\circ C\]. It's made in a factory by fractional distillation of liquid air. It's a clear, low-viscosity liquid that's often used as a coolant.
After liquefaction, the diatomic character of the $N_2$ molecule is preserved. Because of the weak van der Waals interaction between $N_2$ molecules, no interatomic interaction occurs, resulting in a very low boiling point.

Complete answer:
Liquid nitrogen, or $LN_2$, is nitrogen in a liquid state at low temperatures (boiling point at sea level: \[195.79{\text{ }}^\circ C{\text{ }}\left( {77{\text{ }}K;{\text{ }}320{\text{ }}^\circ F} \right)\]. The boiling point of liquid nitrogen is about \[ - 195.8^\circ C\]. It's made in a factory by fractional distillation liquid air. It's a clear, low-viscosity liquid that's often used as a coolant. After liquefaction, the diatomic character of the N₂ molecule is preserved. Because of the weak van der Waals interaction between N₂ molecules, no interatomic interaction occurs, resulting in a very low boiling point.
The most promising non-polar inorganic compound is liquid nitrogen. When liquid nitrogen is released to air, it starts to melt. The steam inside the container (above) is concentrated water vapour from the air, which forms due to the liquid nitrogen's very low temperature.
Using the density formula \[D = \dfrac{m}{v}\], calculate the mass of liquid N₂ present using density and volume parameters. At room temperature, all of this would be present as a vapour.
Convert from $m^3$ to L ($1m^3= 1000L$) and find the volume of the space using V= l x b x h.
The fraction displaced by gaseous nitrogen is calculated by dividing the mass of gas occupying the given volume of the space by the ratio of the mass of gas occupying the given volume of the room.

Note:
Metal mirror (slam) freezing involves cooling a polished metal surface to \[-190^\circ C{\text{ }}to{\text{ }}-196^\circ C\] with liquid nitrogen, and bringing the specimen into contact with the metal surface and holding it there before cryofixation is complete.