A 1.2-L container of liquid nitrogen is kept in a closet measuring 1.0m by 1.3m

Question

A 1.2-L container of liquid nitrogen is kept in a closet measuring 1.0m by 1.3m by 2.0m . Assume that the container is completely filled to the top with liquid nitrogen, that the temperature is 23.5?C, and that the atmospheric pressure is 1.2atm .

Calculate the percent (by volume) of air that would be displaced if all of the liquid nitrogen evaporated into the closet. The closet is ventilated such that the temperature and pressure remain constant through this process. (Liquid nitrogen has a density of 0.807 g/mL.)

Express your answer using two significant figures.

Explanation / Answer

mass of nitrogen = density X volume = 0.807 X 1200 = 1044g

No of moles of Nitrogen (n) = 10448 = 37.28

volume of 37.28 moles of nitrogen at given temperature and prussure

PV = nRT

Or V = nRTP = 37.28 X 0.082057 X 296.5
.2 = 755.8 Liters = 0.7558 m3

0.7558 m3 of nitrogen will displace same amount of air.

volume of closet = 1 X 1.3 X 2 = 2.6 m3

% displaced volume = 0.7558 2.6 = 29.06%

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