Problem: A 1.3-L container of liquid nitrogen is kept in a closet measuring 1.2 m by 1.2 m by 2.0 m . Assume that the container is completely filled to the top with liquid nitrogen, that the temperature is 25.1 oC, and that the atmospheric pressure is 1.2 atm .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.)

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FREE Expert Solution

We have to calculate the percentage of volume of air that is displaced when liquid nitrogen evaporates inside a closet.


We will solve this problem through these steps:

Step 1: Calculate the number of moles of nitrogen in the container.

Step 2: Calculate the volume of nitrogen gas using the ideal gas equation.

Step 3: Calculate the volume of the closet.

Step 4: Calculate the percentage of volume of air displaced.

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Problem Details

A 1.3-L container of liquid nitrogen is kept in a closet measuring 1.2 m by 1.2 m by 2.0 m . Assume that the container is completely filled to the top with liquid nitrogen, that the temperature is 25.1 oC, and that the atmospheric pressure is 1.2 atm .

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.)

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the The Ideal Gas Law concept. You can view video lessons to learn The Ideal Gas Law. Or if you need more The Ideal Gas Law practice, you can also practice The Ideal Gas Law practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Tang's class at USF.