Problem: Liquid nitrogen has a density of 0.808 g/mL and boils at 77 K. Researchers often purchase liquid nitrogen in insulated 177 L tanks. The liquid vaporizes quickly to gaseous nitrogen (which has a density of 1.15 g/L at room temperature and atmospheric pressure) when the liquid is removed from the tank. Suppose that all 177 L of liquid nitrogen in a tank accidentally vaporized in a lab that measured 12.00 m m 12.00 m imes 3.50 m .What maximum fraction of the air in the room could be displaced by the gaseous nitrogen?

🤓 Based on our data, we think this question is relevant for Professor Kidwell's class at HARPER COLLEGE.

FREE Expert Solution

We’re being asked to determine the maximum fraction of the air in the room could be displaced by the gaseous nitrogen given the room dimensions.


Recall that density is the ratio of the mass and volume of an object:


density=massvolume


Also, the volume of a rectangular prism is given by:


V=L×W×H


where:

L = length

W = Width

H = height


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Problem Details

Liquid nitrogen has a density of 0.808 g/mL and boils at 77 K. Researchers often purchase liquid nitrogen in insulated 177 L tanks. The liquid vaporizes quickly to gaseous nitrogen (which has a density of 1.15 g/L at room temperature and atmospheric pressure) when the liquid is removed from the tank. Suppose that all 177 L of liquid nitrogen in a tank accidentally vaporized in a lab that measured 12.00 m m 12.00 m 3.50 m .

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

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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 Density concept. You can view video lessons to learn Density. Or if you need more Density practice, you can also practice Density practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Kidwell's class at HARPER COLLEGE.