Result: 1.68 L of liquid nitrogen is generated during the gas liquefaction process.
Clarification:
This process involves transforming gaseous nitrogen into its liquid form.
The two states possess distinct densities, thus occupying varying volumes; however, the mass remains constant.
Step 1: Calculate the mass of nitrogen gas
Let’s determine the mass of nitrogen gas associated with 297 L.
The density formula is:

With a density of nitrogen gas at 4.566 g/L and a volume of 297 L, we can compute the mass of nitrogen gas as follows:
Using these values yields:



The mass of nitrogen gas calculates to be 1356 g.
Step 2: Derive the volume of liquid nitrogen from the mass obtained
The mass for liquid nitrogen remains the same.
With the density of liquid nitrogen at 809 g/L, we can substitute this into our formula to find the volume of liquid.


Therefore, the volume of liquid nitrogen is 1.68 L.